1. Why is math a langugae?
The definition of a language is:
A systematic means of communicating by the use of sounds and conventional symbols. Math is systematic, a means of communication, and it uses sounds and conventional symbols. Example 3+4-5=2
2. Why is math language like dog language?
Math language and dog languge is similar, because dogs have selective hearing and also in math we use selective hearing.
Example: There is a dog named Skipper. We tell Skipper, “Skipper, are you ready to go to the park?” All our friend, Skipper, hears is “Skipper”, because that’s his name, “Go”, because go is an action, and “Park” because park is a good place to go, and all the rest of the words he hears are blah, blah,
blah,blah.
1) Why is math a language?
Math is a language because it is a systematic way of communicating by the use of sound or conventional symbols. This is the definition of a language. Which means math is a language because it is all these things.
2) Why is math language like dog language?
Math language is like dog language because you only have to know certain words or things about math language to know the language
1. What is an operation in math?
In math, an operation is an action or procedure that produces something.
2. Define addition
To count things that are the same.
3.Why can you Not count these 1\4 + 2\5?
The definition of addition is: to count things that are the same. In order to add, the denominators or the numbers on the bottom must be the same. In this specific case, the denominators are not the same.
4. Why can you count these 1\5 + 2\5?
In this case, the denominators (or the numbers on the bottom), are the same so you can add these two fractions together.
5. List 12 words that mean add:
1.plus, 2.more, 3.total, 4.greater, 5.bigger, 6.up, 7.positive, 8.ascend, 9.deposit, 10.increase, 11.sum, 12.grow
1.What is an operation?(in math)
An operation is an action or procedure that produces something in math.
2.Define: Addition
To count things that are the same.
Example: 3 pens + 2 pens = 5 pens
3.List 6 words that mean add
1. plus, 2. positive, 3. bigger, 4. greater, 5. sum, 6. up,
4.Addition and Subtraction are inverse operations!
An inverse means the opposite of.
Counting from left to right now becomes counting from right to left.
5. Define: subtraction
1) A way of finding out how far it is between things (distance)
2) To take from something that is already there.
6. List ten words that mean subtraction:
1.minus, 2.less, 3.negative, 4.descend, 5.take away, 6.down, 7.smaller, 8, withdraw, 9.decrease, 10.difference.
Math is a Language because it is very hard to understand and it is difficult to learn, and hard to process it. But once you have learned it then it becomes easyer. Just like other Languages it takes time to learn and years to understand it.
Why is math Language like dog Language?
Math Language is like caveman Language, it goes back in time, to the ages, and at first all we hear is Blah Blah Blah, but if we study it and its habbits then it will sound like 2(3x-4y)6a=49 and then we know a different Language!
Math is a language because it is a Systematic way to communicate by the use of sounds or conventional symbols. Math uses all of these things therefore it qualifies as a language.
2.Why is math like dog language?
Math is like dog language because it has information that isnt really needed to figure out the answer. Example-Kelly has 10 pencils in he backback and her friend Jennifer has 7 pencils in her backpack. How many pencils do they have all together? Answer 17.
You didnt need to know that the pencils where in Kelly’s or Jennifer’s Backpack.You didnt even need there names. All you needed to know is how many pencils are there in total.
Math is a language because of the use of conventional symbols and sounds, there is a system to math and its a way we communicate.
2. Why is math language like dog language?
Math language is a lot like dog language because even though we speak it in the english language only parts of it have any meaning at all, and the same goes for a dog, it can hear us but may not know what we are talking about.
Math is a language because it is a systematic way to communicate by the use of sounds or conventional symbols. Math uses all of these, therefore it qualifies as a language.
2. Why is math language like dog language?
Math language and dog languge are similar, because dogs have selective hearing and in math we use selective hearing.
Example: There is a dog named Skipper. We tell Skipper, “Skipper, are you ready to go to the park?” All our friend, Skipper, hears is “Skipper”, because that’s his name, “Go”, because go is an action, and “Park” because park is a good place to go, and all the rest of the words he hears are blah, blah,blah,blah.
Courtney W.
1) Why is Math a language?
Because it is a systematic means of communication, and it uses sounds or sybols. the same as a regular language.
2) Why is Math language like Dog language?
In Math language only certain words have any meaning at all. Just like Dog language.
Session 1:3
1. What is an operation? (in math)
An operation is an action or procedure that produces something.
2. Define: Addition
To count things that are the same
3. List 6 Words that mean add:
Add
Grow
Up
Greater
Sum
Positive
4. Addition and Subtraction are inverse operations!
An inverse means the opposite of.
Counting from left to right now becomes counting from right to left
5. Define: Subtraction
1) A way to find out how far it is between things
2) To take from something that is already there
6. List 10 Words that mean subtract:
Subtract
Minus
Less
Negative
Descend
Take away
Down
Smaller
Withdraw
Decrease
What is an Operation(in math)?
An operation in math is an actoinor a procedure which produces something.
Subtraction-
1)A way to find out how far it is between
things(Distance).
2)To take from something that is already there.
*Subtract
*Minus
*Less
*Negative
*Descend
*Take Away
*Down
*Smaller
*Withdraw
*Decrease
*DIFFERENCE
1] What is an operation?
An action or procedure that produces something.
2] Define: Addition.
To count things that are the same.
3] List 6 words that mean add:
Add, Bigger, Plus, More, Increase, Up
4]Inverse 5]opposite 6]right 7]left
8] Define: Subtraction.
1) Away to find out how far it is between something.
2) To take something that is already there.
9] List 6 words that mean Subtract:
Less, Subtract, Minus, Down, Smaller, Decrease
10] Define: Multiplication.
To count things by more than one at a time.
11] List 5 words that mean multiply:
Multiply, Times, By, Of, Product,
1.)What is an operation (in math)?
An operation in math is an action or procedure that produces something,
2.) Define: Addition
To count things that are the same.
Example: 24 lollipops + 10 lollipops = 34 lollipops
3.) List 4 words that mean add
1.up, 2.plus, 3.positive, 4.greater,
4.)a.Inverse, b.opposite, c. right, d.left,
5.) Define: Subtraction
1.A way of finding out how far it is between things (distance)
2. To take from something that is already there
6.)List four words that mean subtract
1.less, 2.negative, 3.minus, 4.descend,
7.)Define: Multiplication
To count things by more than one at a time
8.)List five words that mean multiply
1.times, 2.of, 3.by, 4.multiply, 5.product
9.)Multiply and divide are inverse operations!
10.)1\2
11.) 2
12.)Define: Division
To separate things into equal groups
13.)List six words that mean divide
1.cut, 2.per, 3.divide, 4.separate, 5.quotient,
6.ratio
14.Define percent
“Per” means divide and “Cent” is the prefix for 100.
So together, they mean to divide by 100.
Session 1:4
1. What is an operation? (in math)
An operation is an action or procedure that produces something.
2. Define: Addition
To count things which are the same
3. List 6 Words that mean add:
Add
Grow
Up
Greater
Sum
Positive
4. Addition and Subtraction are inverse operations!
An inverse means the opposite of.
Counting from left to right now becomes counting from right to left.
5. Define: Subtraction
1) A way to find out how far it is between things
2) To take from something that is already there
6. List 6 Words that mean subtract:
Subtract
Minus
Less
Negative
Descend
Take away
Down
Smaller
Withdraw
Decrease
7. Define: Multiplication
To count things by more than one at a time
8. List 5 words that mean multiply.
1. Multiply
2. By
3. Product
4. Times
5. Of
Session 1:5
1. What is an operation? (in math)
An operation is an action or procedure that produces something.
2. Define: Addition
To count things which are the same
3. List 6 Words that mean add:
Add
Grow
Up
Greater
Sum
Positive
4. Addition and Subtraction are inverse operations!
An inverse means the opposite of.
Counting from left to right now becomes counting from right to left.
5. Define: Subtraction
1) A way to find out how far it is between things
2) To take from something that is already there
6. List 6 Words that mean subtract:
Subtract
Minus
Less
Negative
Descend
Take away
Down
Smaller
Withdraw
Decrease
7. Define: Multiplication
To count things by more than one at a time
8. List 5 words that mean multiply.
1. Multiply
2. By
3. Product
4. Times
5. Of
1.)What is the difference in meaning between “less than” and “is less than”?
The main difference between “less than” and “is less than” is the key word “is”.
The word “Is” means equal or happening now.
2.)Write a sentence using at most meaning is less than or equal to.
She told her brother, “You’re only going to get at most $10 for helping me with this job.”
3.)Write a sentence using at least meaning is greater to or equal to.
Her brother retorted,”I deserve at least $15.”
1.6
1.What is an operation?
An action or procedure that produces something.
2.Define: Addition
To count things that are the same.
Ex. 3 blue folders + 2 blue folders = 5 blue folders
3.List four words that mean add:
1. positive, 2. up, 3. plus, 4. greater,
4.Addition and subtraction are inverse operations!
Inverse means the opposite of.
Counting from left to right now becomes counting from right to left.
5.Define: Subtraction
1.)a way of finding out how far it is between things (distance)
2.)To take from something that is already there.
6.List 4 words that mean subtract:
1. negative, 2. less, 3. down, 4. minus,
7.Define: multiplication
To count things by more than one at a time.
8.List 5 words that mean multiply:
1. by, 2. times, 3. product, 4. of, 5. multiply,
9.Define: Division
To separate things into equal groups
10.List six words that mean divide:
1. divide, 2. cut, 3. per, 4. separate, 5. ratio, 6. quotient,
11.Define: percent
Percent means to divide by 100.
Ex. 12% is the same as 12\100
12.List five words that mean equal to:
Equal, The Same As, Equivalent, Congruent, Is,
13.What about things being equal in time:
Is- The time it is right now
Was- The time before now
Will be- The time in the future
14.In Math, what are the only 3 ways numbers are related!
1. They are equal
2. Numbers can be greater than
3. Numbers can be less than
15.List 6 words or (phrases) that mean not equal to without using the word not:
At most
Is less than
Is less than or equal to
Isn’t
Less than
Not the same as
16.Words that mean not equal to:
Not less than > with a line under it
Not less than or equal to >
Not greater than < with a line under it
Not greater than or equal to <
Coursework 1.6 – Part I
1. What is an operation? (in math)
An operation is an action or procedure that produces something.
2. Define: Addition
To count things which are the same
3. List 4 Words that mean add:
Add
Grow
Up
Sum
4. Addition and Subtraction are inverse operations!
An inverse means the opposite of.
Counting from left to right now becomes counting from right to left.
5. Define: Subtraction
1) A way to find out how far it is between things
2) To take from something that is already there
6. List 4 Words that mean subtract:
Subtract
Minus
Less
Descend
7. Define: Multiplication
To count things by more than one at a time
8. List 5 words that mean multiply.
1. Multiply
2. By
3. Product
4. Times
5. Of
9. Define: Division
To separate things into equal groups
10. List 6 Words that mean divide:
Per
Quotient
Divide
Cut
Ratio
Separate
11. Define percent:
Divide by 100
12. List 5 words that mean equal to
Equal
The Same As
Equivalent
Congruent
Is
13. What about things being equal in time?
Is – Now
Was – in the past
Will be – in the future
14. In Math, what are the only 3 ways numbers are related!
1. Equal To
2. Less Than
3. Greater Than
15. List 6 Words (or phrases) that mean not equal to without using the word not:
1. Incongruent
2. Is Less Than
3. Is Greater Than
4. At Most
5. At Least
6. More Than
16. Words that mean not equal to: Put in the correct symbol <, or >
Not Less Than means > with an underline
Not Less Than or Equal to means >
Not Greater Than means < with an underline
Not Greater Than or Equal to means <
Coursework 1.6 – Part II
1. What is the difference in meaning between “less than” and “is less than”?
The difference is the word “is” which means equal.
2. Write a sentence that uses the words at most meaning is less than or equal to.
At most I will give you $25 for your club.
3. Write a sentence that uses the words at least meaning is greater than or equal to
1] What is an operation?
An action or procedure that produces something.
2] Define: Addition
to count things that are the same.
3] 4 words that mean add: Add, Plus, Bigger, Up
4] Inverse 5] Opposite 6] Right 7] Left
8] Define: Subtraction
1) A way to find out how far it is between something.
2) To take from something that is already there.
9] 4 words that mean subtract: subtract, take away, down, smaller
10] Define: Multiplication
To count things by more than 1 at a time.
11] 5 words that mean multiply: multiply, times, by, of, product
12] inverse 13] 1/2 14] two
15] Define: Division
To separate things into equal groups.
16] 6 words that mean division: divide, cut, separate, ratio, per,quotient
17] Define: Percent
Per means divide and Cent is the prefix for 100. So percent means you are dividing by 100.
1. What is the difference between “less than” and “is less than”?
If you say “4 less than 6″ that would mean 6 minus 4. But “4 IS less than 6″ would be simply saying that 4 is a smaller number than 6.
2. Write a sentence with the phrase “at most” in it.
The person ran 1 mile, at the most! (I guess he’s not much of a runner.)
3. Write a sentence with the phrase “at least” in it.
I really don’t know how to answer this question; give me AT LEAST a few more days!!!
What is the difference between a rational and an irrational number?
Rational numbers are any number that can be written as a fraction or a repeating or terminating decimal. An irrational number is one that is a non-terminating or non repeating decimal. So, a number cannot be both a rational and an irrational number, because a rational number is a repeating or terminating decimal and an irrational number is a non-terminating, non-repeating (unending)decimal.
What is the differance between a rational and a irrational number?
A rational number is a number that is repeating or terminating, while a irrational number is unpredictable
1.) Why is adding and subtracting integers like gains and losses?
Adding and subtracting integers are like gains and losses, because a gain is the same as addition and a loss is the same thing as subtraction. When you gain something, you are adding something. (Ex. a gain of 400 to a gain of 397.) When there is a loss of something, you are subtracting something. (Ex. a loss of 262 and gain of 254)
the reason why x comes first in the translation 8 less than a number is 24 is because if x is bigger than 8 then it would end up in negative numbers if you put the x second. but if you put the x first it would make perfect sense that x-8=24 which is actually 32-8=24
the reason why x is first in the translation is because 8 is less than a number 24 is because if x is bigger than 8 then it would end up in negative numbers if you put the x second.if you put the x in first then it makes sense that x-8=24 which is actually 32-8=24
Why does it matter whether the “x” is first in the translation of 8 less than a number is 24?
The reason why x comes first in the translation is because 8 is the lower number therefor it would be negative if you solved the problem 8-x=24, so the correct way to translate the problem would be x-8=24. [x=32]
Why does it matter whether the “x” is first in the translation of 8 less than a number is 24?
Because the “x” represents a larger number than the 8. For example: Would you put the number 20 before or after the number 4 in a division problem which you wanted the answer to be positive?? Definitely before.
Section 2.7 Part 3
If a binomial is a polynomial, then is a polynomial abinomial?
Yes because a polynomial is something with terms and a binomial is something with 2 terms
1. In the equation -2x+8 =-14, what is happening to the variable?
In the equation, X, the variable, is being added by 8 and multiplied by -2 to equal -14. =D
2. Why do you do the order of operations backwards when solving an equation?
We do the order of operations backwards to undo what is being done to the variable. =D
What is the difference between rational and irrational number?
Rational means it is always predictable and you always know what is going to come next.
Irrational means that it is unpredictable, you never know what number is going to come next.
Part 1:
In the equation -2x+8=-14, what is happening to the variable?
The variable x is being multiplied by -2 and added by 8.
Part 2:
Why do you do the order of operations backward when solving an equation?
You have to do it backwards because you need to undo what is being done to the variable. Undo addition and subtraction first. Then undo multiplication and division. To undo an opeation, you use inverse operations.
Why does it matter whether the ”x” is first in the translation of 8 less than a number is 24?
Because you dont know what ”x” stands for, it may be 10, if so, you cant do 8-10, the ”x” always has to go first, then it would be 10-8, that makes more sence.
Because you get some then you lose some, it like starting from zero, if i lose 5 and gain 10 i wouls have 5 not negative 5 but positive five. you didnt know how many i had in the begining, so we say i had 0, we always start at 0.
Because a language is a systematic means of communicating using sounds and symbols, and math contains symbols and can also be explained through sounds. Also, numbers can be used to communicate.
Why is math language like dog language?
Because, like how dogs can only understand certain words, only certain words in math have any meaning.
Q)Why is math a language?
A)Math is a language because it fits into the criteria of what a language is.
Language is:
A means of communication through sounds and conventional symbols.
Q)Why is math language like dog language?
A)Math language is like dog language because dogs have selective hearing, as do we in math language.
While we may have just made a sentence, a dog will only hear words it knows. Such as: Skipper, Park, Go, Human, etc.
In a word problem, and in real life situations, we may hear a lot of blahblahblah. We have to find what the actual question is, in all of that blah.
Q) Why is math a language?
A) Math is a language because just like any other language, it is a systematic means of a communication through sounds and conventional symbols.
Q) Why is math language like dog language?
A) Math language is like dog language because in the same way that dogs can only understand certain words, only certain words in math have any meaning.
Wait, do I have to answer all of these again? Okay then.
————
What is an operation? (in math)
An action or procedure which produces something.
————
Define: Addition
Counting things that are the same.
————
List 6 words that mean add:
Add
Plus
More
Total
Greater
Bigger
————
Addition and subtraction are inverse operations. An inverse means the opposite of. Counting from left to right now becomes counting from right to left.
————
Define: Subtraction
1) The distance between things.
2) Taking from something that is already there.
————
List 10 words that mean subtraction:
Subtract
Minus
Less
Negative
Descend
Take away
Down
Smaller
Withdraw
Decrease
What is an operation? (in math)
An action or procedure which produces something.
—
Define: Addition
Counting things that are the same.
—
Why can you NOT count these? (1/4 + 2/5)
They are not the same!
—
Why can you count these? (1/5 + 2/5)
They are the same!
—
List 12 words that mean add:
Add
Plus
More
Total
Greater
Bigger
Grow
Up
Positive
Ascend
Deposit
Increase
Counting from left to right now becomes counting from right to left.
—
Define: Subtraction
1) A way to find out how far it is between things. (distance)
2) To take from something that is already there.
—
List 10 words that mean subtract:
Subtract
Minus
Less
Negative
Descend
Take away
Down
Smaller
Withdraw
Decrease
Multiply and divide are inverse operations.
——-
If 18 / 2 = 9 then 10 x 18/2 = 9 (?)
——-
If 50 / 1/2 = 25 then 10 x 1/2 = 25
——-
Define: Division
To separate things into equal groups.
——-
List 6 words that mean divide:
Divide
Cut
Separate
Ratio
Quotient
Per
——-
Define percent
Per means divide, and cent means 100.
1.5
Define: Division
To separate things into equal groups.
*A remainder is what is left over if it does not fit into one of the equal groups.
—
List 6 words that mean divide:
Divide
Cut
Separate
Ratio
Quotient
Per
—
Define percent (or per cent):
Per means divide; cent is a prefix for 100 (as in century)
1.6
List 5 words that mean “equal to”:
Equal
The same as
Equivalent
Congruent
Is
—
Words that mean “equal to”:
What about things being equal in time?
Is – Happening now
Was – Happening before
Will be – Happening in the future
—
In math, what are the 3 ways numbers are related?
1) They are equal to
2) They are greater than
3) They are less than
—
List 6 words (or phrases) that mean “not equal to” without using the word “not”:
Is less than
Is less than or equal to
At most
Is greater than
Is greater than or equal to
At least
—
Words (or phrases) that mean “not equal to”:
“Not less than” … means >
“Not less than or equal to” … means >
“Not greater than” … means <
“Not greater than or equal to” … means <
I couldn't do the greater than or less than arrows with the lines underneath them on my keyboard, however I did understood the lesson.
Why does it matter whether the “x” is first in the translation of 8 less than a number is 24?
Because since X represents a number, swapping the two numbers would change the problem, and therefore the answer. You couldn’t, for example, change 8 – 9 to 9 – 8 without changing the answer.
Why does it matter whether the “x” is first in the translation of 8 less than a number is 24?
Because we don’t know what X is, the X may be bigger than 8 itself, so say that X is 12, you can’t do 8-12 (well, you could but it would be negative) so the x has to go first. Then it would be 12-8
the definition of math is the systematic means of communicating by the use of sounds or conventional symbols. Math is a “system” of “communicating” by either saying the question (sound) or looking and figuring the symbols (conventional symbols)
Why is math language like dog language?
Because if you are talking to a dog, all they hear are the words that really matter like: “skipper, park and go?” All the other words just sound like “blah blah blah.” So in math we have to find the words or symbols that really matter.
Why is math a language?
A systematic means of communating by the use of sounds or conventional symbols. Just like in dog language, in math language only certain words have any meaning at all.
Why is math like dog language?
By knowing what words actually mean something in math, you can speak the language
Why is math a language?
Math is a language because it uses symbols and sound to comunicate.
Why is math language like dog language?
The langauge of math is like that of a dog because only parts of it has meaning while most of it does’nt mean anthying at all.
1)What is an operation?
An operation is an action procedure which produces something.
2)Define Addition:
Addition is to count things that are the same.
3)Why can’t 1/4+2/5 be added?
They can’t be added becouse they are not the same things. They are not the same things becouse the bottom number is not the same.
4)Why can 1/5+2/5 be added?
These numbers can bee added becouse they are the samething.they are the same thing becouse the bottom numbers are the same.
12 words that mean addition.
1)add 5)positive 9)acscend
2)more 6)bigger 10)deposite
3)total 7)grow 11)increase
4)plus 8)up 12)greater
1.) Why is math a language?
Because it uses a systematic form of communication using sounds and symbols.
2.) Why is math language like dog language?
The English language has a lot of words that are not used in both Math Language and Dog Language. These extra words are filtered out in both Math and Dog Languages.
1.) What ihttp://mrdmath.wordpress.com/algebra-i-course-work/#comment-341s an operation in math?
It is an action or procedure that produces an answer.
2.) Define: Addition
To count things that are the same.
3.) Why you can’t count 1/4 + 2/5?
You can’t count them because, by definition, the denominator is NOT the same! They need to be the same or else you can’t add them.
4.) Why can you add 1/5 + 2/5?
Because the denominators are the SAME! Therefore you can add them.
5.) List 12 words that mean add
(1) grow (2) increase (3) numerate (4) plus (5) greater (6) sum (7) positive (8) total (9) count (10) tally (11) ascend (12) append
en.wikipedia.org/wiki/Append says:
In general, to append is to join or add on to the end of something. For example, an appendix is a section appended (added to the end) of a document.
1.) Why is math a language?
A.) Math is a language because it is a Systematic way to communicate by the use of sounds or conventional symbols.
2.) Why is math language like dog language?
A.) Because like dog language, we only need to know the important things in
math and we don’t need the details like there were 4 small notebooks with green and white
stripes. All we need to know is that there were 4 notebooks.
1) Why is math a language? Math is a language because it is a system that requiers communication, and it uses symbols.
2) Why is math language like dog language? Math language is like dog language because in dog language only certain words have meaning and in math laguage only some words have meaning.
A) A language has:
A systematic means of communicating by the use of sounds or conventional symbols.
Math has:
A systematic means of communicating by the use of conventional symbols.
So that means Math is a language.
Q) Why is math like a dog language?
A) Some words have meaning and some words are just Blah Blah Blah.
For example:
You ask Skipper the dog:
“Skipper, do you want to go to the park?”
and Skipper hears:
“Skipper blah blah blah blah go blah blah park?”
He only hears the important words: Skipper (his name) go (the verb) and park (the
noun). We do the exact same thing in math. We sort out the important stuff from the
unimportant stuff.
3)What is an operation in math? An action or procedure which produces something.
4) Define: Addition. Addition is counting things that are the same.
5) Why can you not count 1/4+ 2/5? You can not count these because they have no common denominator.
6) Why can you count 1/5+ 2/5? You can count these because they have a common denominator.
7) List 12 words that mean add? Twelve words that mean add are, add, plus, more, total, greater, bigger, grow , up, positive, ascend, deposit, and decrease.
1. Why is math a language? Math is a language because it conveys information to a predetermined conclusion.
2. Why is math language like dog language? math language is like dog language because there are things in language that matter and things that do not matter or do not have any meaning at all, same as dog language.
Conner.
math is a language because we use conventional symbols and and we communicate with it.
math language is like a dog language because we only her some of the words said to us
Funny thing about what we hear and what we listen to. I think a good way to say it is we hear everything and only listen to some of it. Like the dog, it hears everything but only listens for the words that mean something.
Our year together will be about practicing what to listen for!
8) What is an operation in math? An operaton in math is a procedure that produces something.
9) Define: Addition. Addtion is the counting of things that are similar.
10) List 6 words that mean add? Six words that mean add are, greater, ascend, bigger, more, total, and positive.
11) Addition and subtraction are inverse operations!
12) An inverse means the opposite of.
13) Counting from left to right now becomes counting from right to left.
14) Define: Subtraction.
1) Finding out the distance between things.
2) TO TAKE FROM something that is there.
15) List ten words that mean subtraction. Ten things that mean subtraction are, subtract, minus, less, negative, descen, take away, down, smaller, withdraw, and decrease.
1. Why is math a langugae?
The definition of a language is:
A systematic means of communicating by the use of sounds and conventional symbols. Math is systematic, a means of communication, and it uses sounds and conventional symbols.
2. Why is math language like dog language?
Math language and dog languge is like eachother, because blah dogs blah blah key words, math blah blah blah selective wording.
Math is a language because it is a systematic means of communicating by the use of sounds or conventional symbols.
Math language is like a dog language because only certain words matter to us to answer a question. If a dog hears a phrase, only certain words matter to it, the rest means nothing. In the phrase, “Skipper, today we are going to the park, are you ready to go?”, the only words that matter to Skipper are Skipper, park, and go.
Just like the English language, math uses the systematic means of communicating by the use of sounds or conventional symbols.
In dog language, a dog only hears certain words. It is the same in math language because only certain words are of importance. The rest of the words are not needed to solve the problem.
Why is math a language?
Math is a language because it is a systematic way of communicating by the use of sound or conventional symbols. This is a definition of a language.
Why is math language like dog language?
In math language you only take whats important and useful, just like in dog language. for example if you say to a dog “Rex, lets go outside and play fetch” A dog will only pay attention to words such as “play” “fetch” “outside”.
A Operation is an action or procedure that produces something.
2.) The definition of Adding is to count (add) things that are the same
3.) (1/4+2/5) I cannot add them because they are the same
4.) Add, Plus, More, Total, Bigger, Greater, Grow, Positive, Up, Increase, Deposit, Ascend (Multiply?)
Why is math a language?
Math is a language because it is a system in which you communicate with sounds and conventional symbols, just like any other language, such as English and Spanish.
Why is math a language like dog language?
Math is a language like dog language because in math we only hear what is necessary, like Skipper the dog heard only, “Skipper, park, and go.”
1) What is an operation in math? An Operation in math is a procedure that produces something.
2) Define: Adittion. Addition is the counting off things that are similar.
3) List 6 words that mean add? Six words that mean add are up, deposit, increase, total, more, and grow.
4) Addition and subtraction are inverse operations.
An inverse the opposite of.
Counting from left to right now becomes coumting from right to left.
5) Define: Subtraction.
1. Finding out the distance between things.
2. To take from something that is there.
6) List 6 words that mean subtract. Six words that mean subtract are subtract, minus, less, negative, down, and descend.
7)Define: Multiplication. Multiplication is the counting of something more than once at a time.
8) List 5 words that mean multiply. Five words that meann multiply are multiply, times, by, product, and of.
1) “less than” it is smaller than or equal to something but “is less than” means that it is smaller than something.
2) The car sales man said the BMW was at most $46,000.
3) The cop said to the driver “your ticket is at least $500.”
1) What is an operation in math? An operation in math is a procedure that produces something.
2) Define: Addition. Addition is the counting of things that are similar.
3) List four words that mean add. Four words that mean add are plus, more, total, and greater.
4) Addition and subtraction are inverse operations.
5) An inverse means the opposite of.
6) Counting from left to right now becomes counting from right to left.
7) Define: Subtraction.
1. Finding out the distance between things.
2. To take from something that is there.
8) List 4 words that mean subtraction. Four words that mean subtraction are minus, decrease, withdraw, and smaller.
9) Define: multiplication. Multiplication is the counting of something more than once at a time.
10) List 5 words that mean multiply. Five words that mean multiply are of, product, by, times, and multiply.
11) Mulitiply and divide are inverse operations.
12) If 18/2=9 then 18*1/2=9.
13) If 50/2=25 then 50*1/2=25.
14) Define: Division. Division is when you classify things into like groups.
15) List 6 words that mean division. Six words that mean division are divide, cut, seperate, ratio, quotient, and per.
16) Define: Percent. Percent means to divide by 100.
1) What is an operation in math? Aoperation in math is a procedure that produces something.
2) Define: addition. Addition is the counting of things that are similar.
3) List 4 words that mean add. Four words hat mean add are add, bigger, grow, up, positive.
4) Addition and subtraction are inverse operations.
5) An inverse means the opposite of.
6) Counting from left to right now becomes counting from right to left.
7) Define: subtraction.
1. Finding the distance between things.
2. To take from something that is there.
8) List 4 words that mean subtract. Four words that mean subtract are minus, withdraw, less, and negative.
9) Define: multiplication. Multiplacation is the counting of something more than once at a time.
10) List 5 words that mean multiply. Five words that mean multiply are product, multiply, times, by, and of.
11) Define: division. Division is when you classify things into like groups.
12) List 6 words that mean divide. Six words that mean divide are divide, cut, seperate, ratio, quotient, and per.
13) Define: percent. Percent means to divide by 100.
14) List 5 words that mean equal to. Five words that mean equal to are equal, the same as, equivalent, is, and congruent.
15) What about things being equal in time?
1. Is- Happening now
2. Was- Happening before
3. Will be- Happening in the future
16) In math, what are the only 3 ways numbers are related?
1. numbers are equal.
2. It is greater than.
3. It is less than.
17) List 6 words or phrases that mean not equal to without using the word not. The answers to this question are is less than, is less than or equal to, at most, is greater than, is greater than or equal to, and at least.
18) Not less than means >.
19) Not less than or equal to means _>.
20) Not greater than means <.
21) Not greater than or equal to means _<.
18) Not less than means >.
19) Not less than or equal to means _>.
20) Not greater than means <.
21) Not greater than or equal to means _ (is greater than or equal to)
19) – means > (is greater than)
20) – means _< (is less than or equal to)
21) – means < (is less than)
The difference in meaning between less than and is less than is that less than means subtracting and is less than means the number is smaller. 2 less than 3 is 1, while if 2 is less than 3, that is just stating that 2 is smaller than 3.
The man at the cash register told the child, “I can give you a 20 percent discount at most. however, I can at least give you a 10 percent discount.”
1) What is the difference in the meaning between “less than” and “is less than”? The difference is that less than is only less than something and is less than can be less than or equal to something
2) Write a sentence that uses the words at most meaning is less than or equal to. Mom I need at most $10 in order to buy this toy.
3) Write a sentence that uses the words at least meaning is greater than or equal to. Dad I need at least 1 more hour on the computer.
WHat is an operation in math? An operation is a procedure that produces something.
Define: Addition: To count things that are the same.
List 6 words that mean add: increase, grow, gain, incremental, greater, sum.
Addition and Subtraction are _inverse________ operations.
An inverse means the opposite of.
Counting from left to right now becomes counting from right to left.
Define subtraction: It is the inverse of addition. subtraction is the action of taking away or decreasing.
6 Words that mean subtract are: Decrease, minus, withdraw, less, negative, lower.
Define Multiplication: To increase in number greatly or in multiples.
Multiply: times, by, product, of, multiplication.
5 Words that mean equal to are: The same as, equal, equivalent, congruent, is.
What about things being equal in time? Is – Happening now, Was – Happening before, Will be – Happening in the future.
In Math there are only 3 ways numbers are related. = equal to, greater than and less than.
6 Words that mean not equal without the word “not” in them are: is less than, is less than or equal to, at most, is greater than, is greater than or equal to, and at least.
Not less than = >_
Not Less Than or Equal to = >
Not greater than = <_
Not Greater Than or Equal to = <
1) What is the difference in meaning between “less than” and “is less than”? Less than means subtracting and is less than means the number is smaller.
2) Write a sentence that uses the words at most meaning is less than or equal to. Billy says to the Cashier ” At most I have to give you is $5 for two rolls of duct tape.”
3) Write a sentence that uses the words at least meaning is greater than or equal to. Joey says ” Mom can I have at least $50 for a new pair of cleats?”
1. What is the difference in the meaning between “less than” and “is less than?” “Less than” means subtracting and “is less than” means the number is smaller.
2. Write a sentence that uses the words at most meaning is less than or equal to:
I said to mom at most I have to give you two dollars for the snack you bought for me
3. Write a sentence that uses the words “at least” meaning is greater than or equal to:
I said to my dad, “Dad, may I have at least twenty dollars back for some socks?”
Michael S
1) What is an operation? (in math)
An action or procedure which produces something.
2) Define: Addition
To count things that are the same.
3) List 12 words that mean add:
plus, more, total, greater, bigger, grow, up, positive, ascend, deposit, increase, SUM
4) Why can you count these? one fifth plus two fifths
Because they have the same denominator.
5) Why can you not count these? one fourth plus two fifths
Because they do not have the same denominator.
1). List 5 words that mean Equal To:
Adequate, Capable, Equal, Equivilant, Congruent
2). Is- Equal now
Was- It was equal (And still is)
Will be- It is going to be equal (It already is and will still be)
3).In Math what are the only 3 ways numbers are related?
1. Less than each other
2 Equal to each other
3 Greater than each other
4). Not less than= >
Not Less than or Equal to=> with line underneath (sorry couldn’t figure out how to put the line underneath it)
Not Greater Than=<
Not Greater Than or Equal to=< With line underneath.
1.) 5 words that mean Equal to- Equal,The same, Equivelent,Congruent,Is
2.)Is= Equal Now
Was= Happening Before
It was=Happening in the future
3.)In Math the the only 3 ways numbers are related are:
1. Equal to each other
2. Greater than each other
3.The same as(AKA Equal) each other
4.)
1.Not less than= >
2. Not Less than or Equal to=>(With line)
3.Not Greater Than=<
4.Not Greater Than or Equal to=<
5.)What is the Difference in meaning between “Less than” and “Is less than”?
Less than means subtract. Is less than means the number is smaller
6.)Write a sentence that uses the words at most meaning is less that or equal to.
The Kid said to his Dad "You owe me at at most 10.00 more because I washed the dogs"
7.)Write a sentence that uses the words at least meaning is greater than or equal to
The Lawyer said to his client " I need at least 800.00$
1) What is an operation? (in math)
An action or procedure which produces something.
2) Define Addition:
To count things that are the same.
3) List six words that mean add:
Plus, grow, greater, positive, increase, and…SUM!!!!!!!
4) Addition and Subtraction are INVERSE operations.
An inverse means the OPPOSITE of.
Counting from left to RIGHT becomes counting from right to LEFT.
5) Define Subtraction: 1)A way to find out how far it is between things (or distance).
2)To take from something that is already there.
6) List ten words that mean subtract: Minus, less, negative, withdraw, descend, decrease, take away, down, smaller, and…DIFFERENCE!!!!!!!
1- Why is math a language?
Math is a language because it is a systematic way of communicating by the use of sound or conventional symbols. Just like any language.
2- Why is math language like dog language?
Math language is like dog language because you only have to know certain words or things about math language to know the important things that need to be communicated.
1) What is an operation in Math?
It is an action or procedure which produces something.
2) Define: Addition
Addition is to count things that are the same.
3) List 12 words that mean add: Plus, More, Total, Greater, Bigger, Grow, Up, Positive, Ascend, Deposit, Increase, Count.
Hello
1.An Action or Procedure that produces something.
2.To count things that are the same.
3.1.plus 2.up 3.big 4. increase 5.sum 6.deposit
4. 1. inverse 2. opisat 3. right 4. left.
5.To take away from something that is already there.
6. To find the distance between something.
7. 1.minus 2. down 3. small 4. decrees 5.withdraw 6. ???
8. to count things more than 1 at a time.
9. 1. Multiply 2. times 3. by 4. product. 5. of
thanks see you wensday!
1) What is an operation (in math)
An action or procedure which produces something.
2) Define Addition:
To count things that are the same.
3) List six words that mean add:
Plus, grow, positive, increase, greater, and…SUM!!!!!!
4) Addition and Subtraction are INVERSE operations.
An inverse means the OPPOSITE of.
Counting from left to RIGHT becomes counting from right to LEFT.
5) Define Subtraction: 1)A way to find out how far it is between things (or distance)
2)To take from something that is already there.
6) List six words that mean subtract: Minus, less, negative, withdraw, down, and…DIFFERENCE!!!!!!
7) Define Multiplication: To count things by more than one at a time.
8) list five words that mean multiply: Multiply, times, by, of, and…PRODUCT!!!!!!
1) Less than is used more for subraction problems. Example, 5 less than 20 is 15. Is less than makes a statement. For Example, 5 is less than 20.
2)I will give you $20 at most to go to the mall.
3)”The teacher will give us at least 3 candies each if were good in class,”says Jessica.
1) What is the difference in meaning between “less than” and “is less than”?
Is less than means the answer is less than, but less than just means any number can be less than.
2) Write a sentence that uses the words at most meaning is less than or equal to.
Bob’s father told Bob that he would give him at most $5,000 to spend on his first car.
3) Write a sentence that uses the words at least meaning is greater than or equal to
Bob then told his father that he would need at least $10,000 for his first car.
Why Is math a language? The definition of the word language says that a language is a systematic means of communicating, by using sounds or symbols. Math is systematic, a ways of communicating, and has symbols and sounds.
Why is math language like dog language? In math, there will be terms that mean nothing, or are not usefull, just like when talking to a dog they only hear specific things.
In the equation 8 less than a number equals 24, the x must come first because if it said 8 less than your age, you would write the equation as your age – 8, not the other way around. Besides, if you make it 8 – x, you’ll get the wrong answer.
1) What is the difference in meaning between “less than” and “is less than”?
“Less than” means to take away from something. But “is less than” means a smaller number.
2) “I’m looking for a fun toy for my dog, that’s inexpensive and lasts long. However, I will pay at most $10 for one.”
3) “I am making my famous Fettuccine Alfredo for a family reunion coming up. And I need to make a serving for at least 21 people.”
What is the diffrence between a Rational Number and a Irrational Number?
A Rational Number is a number that can have the number after it be predicted correctly. Like for example 0.3 Repeating. We all know that after the 3 will come another 3 forever. Therefore 3 is a Rational number in this case.
An Irrational Number is a number that cannot have the number after it be predicted correctly. For example Pi is a Irrational Number because it keeps on going with diffrent numbers after the next.
And I have a question:
This is the course work for 2.1 Part II and I was wondering if I post the 2.1 Part I answers here the same way.
1.) What is the difference between a “rational” number and a “irrational” number?
A. A rational number is a predictable number where a irrational number is unpredictable
Example: a rational number- _
.3=.33333333
Example: a irrational number-
(pie symbol) 12.283954037453720475382301645597352822265495863042093874542378909857432235478909875423….
1) Numbers began with counting numbers.
2) Counting began at the number 1
3) The counting numbers are 1,2,3,4,5,6,7,8,9,10… that means that numbers never stop
4) What is the difference between rational and irrational numbers? The difference is that rational means prdictable and irrational means unpredictable.
5) In math ratio means that you know what the next number is in a decimal or you gan write the number as a fraction of two integers.
6) 3.333333 what is next? 3
7) pie= 3.14159 what comes next? We do not know because you can not predict irrational numbers.
8) Natural numbers- positive counting numbers
9) Whole numbers- positive counting numbers and zero.
10) integers- negative/positive counting numbers and zero.
11) Rational numbers- a number that is able to be written as a fraction, a repeating, or terminating decimal.
12) To terminate means to stop. So a terminating decimal stops like 4.25.
13) 4.25 is predictable because the next number after the 5 is 0 4.250.
14) irrational numbers- all numbers that are non terminating/non repeating decimals.
15) real numbers- all numbers that are whole, natural, integers, rational, and irrational.
16) If numbers are not real then that means they must be imaginary.
17) You will learn about imaginary numbers in algebraII.
18) Imaginary numbers are not real but they do exist!
1) What is the difference between an equation and an expression? An equation is a complete sentence and an expression is a command.
2) Equation: 4 more than 6 is 10 = 4+6=10.
3) Expression: 4 more than 6 = 4+6.
4) What is a variable? A variable is something that takes the place of a number in an equation, expression, and inequality.
5) 4 more than a number is ten. More than means add. A number means variable. Is means =.
6) 4 more than a number is 10. 4+x=10.
7) 5 more than a number is 12. 5+x=12.
8) 8 less than a number is 24. less than means subtract. A number means variable. is means =.
9) 5 less than a number is 12. x-5=12.
10) 4 less than 3 times a number is 10. 3x-4=10
11) Twice a number decreased by twelve is the same as the number increased by eight. 2x-12=x+8.
1) It matters whether the x is first in a problem like in 8 less than a number is 24, because if you put 8-x the answer would be negative, but if you did x-8 the answer would come out right. 8) :/
1) Numbers began with counting numbers
2) counting began at number 1
3) the counting numbers are 1,2,3,4,5,6,7,8,9,10… means they do not stop
4) rational numbers are any numbers that are a fraction or is a repeating or a terminal decimal. irrational is any number that is non terminating or non repeating decimal.
5) in math you know what the next number is in a decimal or you can write it as a fraction of two integers
6) =3
7) we cannot know the answer because a irrational number is unpredictable.
8)natural numbers are all numbers that are positive from 1-100+
9)whole numbers are 0-100+
10)integers are -5,-4-,-3,-2,-1,0,1,2,3,4,5 and etc
11)rational numbers are ny numbers that are a fraction or is a repeating or a terminal decimal.
12) to terminate a decimal means to stop. so a terminating decimal stops.
13)the next number after the 5 is 0
14)irrational numbers are numbers that are non terminating or non repeating decimal.
15) real numbers are all numbers that are whole, natural, integers, rational, and irrational.
16) if numbers are not real then they must be imaginary.
17)imaginary numbers are not real but they do exist.
1) An equation is a complete sentence while an expression is a command.
2) equation= 4 + 6 = 10, expression= 4 + 6
3) A variable is something that takes the place of a number in a equation, expression or inequality.
4) more than means add, a number means variable and is means =
5) 4 + x = 10
6) 5 + x = 12
7) less than means subtract, a number means variable and is means =
8) X – 8 = 12
9) 3X – 4 = 10
10) 2X – 12 = X +8
A rational number is one that terminates, which means you can predict it. An Irrational number does not terminate, therefore, you can not predict what number will be next.
It matters where the X is in the translation because if it was one way, the answer would be negative, if it was the other way, the answer would be positive.
Math is a language because the definition of a language is a systematic means of communicating by the use of sounds and conventional symbols. Math is all that.
Math language is like dog language because only certain word matter in a sentence.
What is the difference between a rational and irrational number? The difference between a rational and irrational number is that a rational number is predictable and there is always a pattern. And since a Irrational number is ” Any number that is a non terminating, non repeating decimal.” the simple difference is that rational numbers repeat and have pattarns and Irrational numbers do not repeat and have any pattern.
1.)Numbers began with counting numbers
2.)Counting began at number 1
3.)The counting numbers are 1,2,3,4,5,6,7,8,9,10… Which means they do not stop
4.)Rational means Predictable and Irrational means Unpredictable
5.)In math Rational means that you know next number is in a decimal or you can write it as a fraction of two integers
6.)=3
7.)We cannot know the answer because a irrational number is unpredictable
8.)Natural Numbers is the positive counting numbers
9.)Whole Numbers is the positive counting numbers and zero
10.)Integers is the negative and positive counting numbers and zero
11.)Rational Numbers is any numbers that can be written as a fraction or any number that can be written as a repeating as a repeating or terminating decimal
12.)To terminate means to stop so a terminating decimal stops like 4.25
13.)The next number after the 5 is 0
14.)Irrational Numbers are any numbers that is a non terminating non repeating decimal.
15.)Real numbers are any numbers that are natural, whole, integer, rational or irrational numbers
16.)If numbers are not real then they must be Imaginary
17.)Imaginary numbers are not real but they do exist
1.)An equation is a complete sentence while an expression is a command
2.)Equation-4+6=10 Expression-4+6
3.)A variable is something that takes the place of a number in equation, expression or inequality
4.)More then means add. Less then means subtract. A Number means variable and Is means = (equal)
5.) (4 + x =10) (5 + x = 12)
6.) x – 8 = 24
7.) 8 + 2x = 24
8.) 3x – 4 =10
9.) 4x – 5 = <10
10.) 2x – 12 = x + 8
1.) Integers-The negative and positive counting numbers and zero
2.) A number line is a line with numbers on it. (No Way!) lol
3.) A negative number is the opposite of a positive number
4.) A negative of a negative number is a positive number
5.) An absolute value is any number from 0
1.)Why does it matter whether the x is first in the translation of 8 less than a number is 24?
A.) Because if your age was 13 and your subtracting 8-13 then that would make -5 instead of positive 5 so if you always put your age first then it will come out positive unless its actually suppost to come out negative like 5-8= -3. (age- 5 and number=8)
2.2
1) Why does it matter whether the ‘x’ is first in the translation of 8 less than a number is 24?
A. Because the positioning of the ‘x’ can change the answer to your problem completely, so it’s very important to keep it where it needs to be.
Integers- The negative and positive counting numbers and zero
What is a number line?- A line with numbers on it
What is a negative number?- The opposite of a positive number
What is the negative of a negative number?- A positive number
Todays it is a not a not sunny day- It’s a sunny day
What is absolute value?- The distance of any number from zero
A bank withdrawal of $30- -30
A loss of 9 pounds- -9
A gain of 21 yards- +21
3 seconds before liftoff- -3
2 seconds after liftoff- +2
11 degrees below zero- -11
When is only time the absolute value of a number not positive?- When it is 0 which =0. Zero is not a negative or positive number!
1) Integers- negative and positive counting numbers and zero.
2) A number line is a line with numbers on it.
3) A negative number is the opposite of a positive number.
4) The negative of a negative number is a positive number.
5) Absolute value is the distance of any number from 0.
6) 16_ -2 is false. -16-10 is false. -6 <_ -6 is true. 0<-9 is false.
2.2- It matters where you put the x in an equation because by putting it in the wrong place you could make an answer that is supposed to be positive, negative, or vise versa.
1) Integers are the negative and positive counting numbers.
2) A number line is a line with numbers on it.
3) A negative number is the opposite of a positive number
4) A positive number
5) Absolute value is the distance of any number from 0
6) 16 -2 false, -16 -10 true, -6 _< -6, true 0 < -9 false.
7) |6||10| false, 8 -1 true, |-6|<-6 false, |18|< |-11| false.
8) a bank withdrawal of $30 = -30, a loss of 9 pounds = -9, a gain of 21 yards = 21, 3 seconds before liftoff = 3, 2 seconds after liftoff -2, 11 degrees below 0 = -11.
WHAT is THE difference BETWEEN a RATIONAL & irrational NUMBER?!- a RATIONAL number THE next NUMBER in A decimal CAN BE predicted. AN irrational NUMBER the NEXT number IN a decimal CAN not BE predicted.
1.
Rational — Any number that can be written as a fraction or any number that can be written as repeating or terminating decimal. Or, predictable.
Irrational — Any number that is a non-terminating, non-repeating decimal. Or, unpredictable.
2.
Because if you put the x after the 8, you would get a different answer. Instead of x – 8 = 24, you would get 8 – x = 24, causing you to come up with a totally different number for x.
(p.s. the number for x in the first equation is 32)
Rational means that you know what the next number is in a decimal or can write the number as a fraction of two integers. It is predictable.
Irrational means that it is unpredictable.
Why does it matter if the ‘x’ is in front is first in the translatino of 8 less that a number is 24?:
First you would write the problem as x-8=24. But if you put the x in a diffrent place you would get a totally diffrent answer. X in the problem equals 32 but if the problem is like this:
8-x=24 X is 32 so you would get -24=24 and we all know that, that isn’t right.
Hey Mr. D!!
I was trying to put in the dates that I got all my stuff done this week in the gradebook
and each time I put in like Sept-13 it puts in all these random numbers and wont give me my grade!
“Why does it matter whether the “x” is first in the translation of 8 less than a number is 24?”
If you were to put it backwards, you would get a completely different answer, and we all know that the is not good in math at all.
lets say x is 80.
5 less than a number is 75
the right way:
x – 5 = 75 (80 – 5 = 75)
the wrong way:
5 – x = 75 (5 – 80 = 75!?!)
Thus putting the number (x) in the right place is important.
What is the difference between rational and irrational numbers? Well a simple explanation would be, rational is predictable and irrational is not so its unpredictable!
Putting the (x) first is very important because if you put it in any other place you would get another assure. Example: the normal way.- x-5=25 – x= 30 so 30-5=25
And if you do it another way. Example: the wrong way: 5-x=25 so it would be 5-30=25!(-25?)
Why is adding integers like gains and losses?
Because when you consider adding integers on the number line, you move into positive (gains) and negative (losses)
Adding integers is like gains and losses because if you add negatives plus negitive you get a negitive and you keep on losing (or going down). But If you add positives plus positive you get positive and you keep on gaining (or going up).
1) Adding integers is like gain and loss because when you add 2 positive numbers you gain, when you add a positive and a negative number you have a loss.
1.) Why is adding integers like gains and losses?
A. Because when you add a positive and negative you have a loss because you subtract and when you add a negative and a negative you gain because you add and when you have a positive and a positive you gain because you add also. And integer numbers are negative and positive counting numbers plus zero where you can’t do that with whole or natural numbers because you don’t have negatives.
Putting the “x” first in the equation is very important because if you don’t you will come out with a different answer. For example, you wouldn’t do 8 minus your age, you would do your age minus 8.
Hey Mr. D
I was checking my work for section 2.4 part 1 and I think I found a mistake with number 10. The question is-
-3+5+-5
So here is how I worked it out
3-5=2 (give it the sign of the bigger absolute value)
2+-5
5-2
-3 (give it the sign of the bigger absolute valute)
So I got -3 and you put down +5
I’m not sure if I maybe did something wrong though..
Why is adding integers like gains and losses?
Because integers can have equations such as 5 + 3 (which is a gain of three) and 5 + -3 (which is a loss of three). Natural and whole numbers can’t lose while adding while integers can.
An operation:
An action or procedure which produces something.
Addition
To count things that are the same.
Addition and Subtraction are inverse operations!An inverse means the opposite of.Counting from left to right now
becomes counting from right to left
Subtraction
A way to find out how far it is between things. (distance)
To take from something that is already there.
Words that mean subtract:
Subtract, Descend, Smaller, Minus, Take away, Withdraw, Less, Down, Decrease, Negative, and Difference.
Multiplication
To count things by more than one at a time.
Words that mean multiply:
Multiply
Times
By
Product
Of
Multiply and Divide are inverse operations.
If 18 / 2 = 9 then 18 x 1/2 = 9
If 50 / 2 = 25 then 50 x 1/2 = 25
Division
To separate things into equal groups.
A remainder is what is left over if it does not fit into one of the equal groups.
Six words that mean divide:
Divide
Separate
Cut
Ratio
Quotient
Per
An operation:
An action or procedure which produces something.
Addition
To count things that are the same.
Addition and Subtraction are inverse operations!An inverse means the opposite of.Counting from left to right now
becomes counting from right to left
Subtraction
A way to find out how far it is between things. (distance)
To take from something that is already there.
Words that mean subtract:
Subtract, Descend, Smaller, Minus, Take away, Withdraw, Less, Down, Decrease, Negative, and Difference.
Multiplication
To count things by more than one at a time.
Words that mean multiply:
Multiply
Times
By
Product
Of
Multiply and Divide are inverse operations.
If 18 / 2 = 9 then 18 x 1/2 = 9
If 50 / 2 = 25 then 50 x 1/2 = 25
Division
To separate things into equal groups.
A remainder is what is left over if it does not fit into one of the equal groups.
Six words that mean divide:
Divide
Separate
Cut
Ratio
Quotient
Per
percent=divide by 100.
Words that mean equal to:
Equal
The Same As
Equivalent
Congruent
Is
What about things being equal in time?
Is –Happening now
Was –Happening before
Will be –Happening in the future
3 ways numbers are related are equal to, less than, or more than.
6 Words that mean not equal to without the word not:
Is Less Than
Is Less Than or Equal to
At Most
Is Greater Than
Is Greater Than or Equal to
Not Less Than means Greater than or equal to
Not Less Than or Equal to means Greater than
Not Greater Than means Less than or equal to
Not Greater Than or Equal to means Less than.
An operation in math is an action or procedure which produces something.
Addition is to count thing that are the same.
You can not count 1/4+2/5 because they are not the same.
You can count 1/5+2/5 because they are the same.
AddBigger Ascend
PlusGrowDeposit
MoreUpIncrease
TotalPositive
Greater
Sum is all the ways you can say add.
addition and subtraction are inverse operations.
an inverse means the opposite of. counting from left to right now becomes counting from left to right.
subtraction is 1)A way to find out how far it is between things. (distance)
2)To take from something that is already there.
ten words that mean subtract are SubtractDescendSmallerMinusTake awayWithdrawLess DownDecreaseNegativeDifference
Adding integers is like gains and losses because if you lose 2 then it is negative 2. But if you gain 5 then that is positive 5. If you lose 2 and then you gain 5, you gained 3.
Hey Mr. D!
I found something else on a different section that I think might be a mistake. Its from section 2.5 for the multiplication. Here is the question-
14.) -7x-1x8x-1x-1
I counted 4 negative signs so that would be positive you said.
But you put that it was negative.
I might be wrong though.
Adding integers are like gains and losses because when you subtract, you lose some so it becomes negative. When you add, it’s like gaining something. +7 or 7.
It is like that because if you add positives it gives you a positive so you have a gain.
When you subtract negatives it gives you a negative so you have a loss.
Adding and subtracting positives and negatives in the same problem is another matter altogether.
Adding integers is like gains and losses because when you add two positive integers, you have a gain, and when you add a positive and a negative integer, you would have a loss.
1.) A term in algebra is anything that is separated by a + or a – sign
2.) Monomial= One term.(4x) Binomial= Two terms (2x+3y) Trinomial=(4x^2 + 2x – 3)
3.) Like terms in Algebra are when the variable and the exponent are the same
4.) Like terms in algebra can be added because you are counting the same thing
5.) You cannot add not like terms you can only add like terms
A monomial is a polynomial but a polynomial is barley a monomial because a polynomial is something with terms so it is a monomial but it is also all the other terms
1) A term in algebra is anything that is seperated by a+ or -sign.
2) Monomial means one term, Binomial means two terms, trinomial means three terms, and polynomial means something with terms.
3) Like terms in algebra are when the variable and exponent of the variable are the same.
4) Like terms in algebra can be added because you are counting the same thing.
5) 2x+x=3x because x is like saying 1x so 2x and x are the same.
6) 2x+y=2x+y because the y is not the same as 2x so the y and x are different letters.
7) a+b=a+b because the a and the b are not the same letters so you can not add them together.
8)4x^2+5x^2=9x^2 because the 4x^2 is the same as 5x^2.
9) 2xy^4-8xy^4+4xy^4=-2xy ^4 because all the numbers have xy^4 after them and that makes them the same.
10) 3a^3b-4ab^3=3a^3b-4ab^2 because the a^3b and the ab^3 are not the same so therefore it equals 3a^3b-4ab^3.
If a Binomial is a Polynomial, then is a Polynomial a Binomial?
Sometimes because Polynomial is any number and a Binomial is 2. Binomial is a Polynomial because it is 2 and since Polynomial is any number it would be 2 also. But any number can’t be 2 all the time because it is ANY number.
it matters whether the “x” is first in the translation of 8 less than a number is 24 because 8 less than a number means that 24 is 8 more than the variable, not the 8-x.
A polynomial sometimes can be a binomial because a binomial has 2 monomials, a polynomial has more than 1. More than one means it could be 2 or anything higher.
Q: If a binomial is a polynomial, is a polynomial a binomial?
A: Well we know that polynomials include all three types: monomial, binomial, and trinomial. So it COULD be a binomial . . . or it could be a monomial or a trinomial or a whatever-nomial.
1) Distribute means to give to several things equally.
2) The distributive properties is one of the most important properties in algebra.
3) -(x-3) means the opposite of or distribute the negative.
Multiply and Divide are inverse operations.
If 18 divide by 2 is 9 then 18 times 1/2 is 9.
If 50 divided by 2 is 25 then 50 times 1/2 is 25.
Division is to separate things into equal groups.
DivideSeparate
CutRatio
Quotient and per are 6 words that mean divide.
percent means divide the prefix for 100.
Equal
The Same As
Equivalent
Congruent and is are 5 words that means equal to.
Words that mean equal to:
What about things being equal in time?
Is –_____Happening now_______________
Was –_________Happening before____________
Will be –___________Happening in the future___________
In Math, what are the only 3 ways numbers are related!
1.=
2.greater than
3.less than
Is Less Than<
Is Less Than or Equal to<
At Most
Is Greater Than or Equal to>
At Least> are six phrases than mean not equal without the word not.
Not Less Thanmeans ______>__
Not Less Than or Equal to means >_
Not Greater Thanmeans ____<____ Not Greater Than or Equal to means <_
What is the difference between an equation and an expression?An equation is a complete sentence while an expression is a command
Equation: Four more than six is ten4 + 6 = 10
Expression: Four more than six 4 + 6
What is a variable?
A variable is something that takes the place of a number in an equation, expression or inequality!
Translate: 4 more than a number is10
more than means add
a number means variable
is means =
4 more than a number is 104 + x = 10
5 more than a number is 12 5+x =12
Translate:
8 less than a number is 24
less than means subtract a number means variable
is means =
Translate:
5 less than a number is 12
X -5 =12
Translate:
4 less than 3 times a number is 10
3x -4 = 10
Translate:
Twice a number decreased by 12 is the
same as the number increased by 8.2x –12 = x + 8
it matters whether the “x” is first in the translation of 8 less than a number is 24 because 8 less than a number means that 24 is 8 more than the variable, not the 8-x.
Integers –
The negative and positive counting numbers and Zero
a number line is a line with numbers on it!
What is a negative number?
The opposite of a positive number.
What is the negative of a negative number?
A positive number
What is Absolute Value?
The distance of any number from 0 Absolute is shown by using these symbols in math | |
A polynomial sometimes can be a binomial because a binomial has 2 monomials, a polynomial has more than 1. More than one means it could be 2 or anything higher.
What is a term in Algebra?Anything that is separated by a + or –sign.
Names for terms Monomial –One term example: 4x Binomial –Two terms example: 2x + 3y Trinomial –Three terms example: 4×2+ 2x -3Polynomial –Something with terms
What are like terms in Algebra? When the variable and exponent of the variable are the same.
Like terms in Algebra can be added because you are counting the same thing: 3x + 5x = 8x
What does distribute mean? To give to several things equally.
The distributive property is one of the most important properties in Algebra. We have already been using it!
24 * 7
=7(20 + 4)
=7 * 20 + 7 * 4
=140 + 28
=168
Look at
-(x -3)
This means the opposite of
or distribute the negative
1.) If a binomial is a polynomial, then is a polynomial a binomial?
A.) Sometimes.
Because sometimes a polynomial is a binomial, and other times it isn’t. It just depends.
Section 2.7 Like Terms
1.What is a term in Algebra? Anything that is separated by a + or – sign.
2.Names for terms-
Monomial- One Term
Binomial- Two Terms
Trinomial- Three Terms
Polynomial- Something with terms
3.Monomials, Binomials and Trinomials are Polynomials too. They just have their own special cool names!
4.What are like terms in Algebra? When the variable and exponent of the variable are the same!
5.Like terms in Algebra can be added because you are counting the same thing. 3x+5x=8x
6.2x+x=3x- Why? Because you have two x’s plus one x. You have like terms and you can add two x’s plus one x and get three x’s.
7.2x+y=2x+y- Why? They are not like terms. You don’t have an x and a x. You have a x and a y. You can’t add them together so it’s literally 2x+y.
If a binomial is a polynomial, then is a polynomial a binomial?
Answer:
Sometimes
This is because a polynomial is something with terms, and a binomial is two terms. So, a binomial is a polynomial, because it has terms, and a polynomial is sometimes a binomial, because a polynomial can be two terms but it could also be three terms, four terms, five terms, etc.
1) anything that is seperated by a + or – sign.
2) monomial = 1 term, binomial = 2 terms, trinomial= 3 terms, polynomial = something with terms.
3)when the variable and the exponent of the variable are the same.
4)like terms can be added because you are counting the same thing.
5)2x + x = 3x because X is the same.
6)2x + y = 2x + y because X and Y are not alike.
7)a + b = a + b because A and B are not alike.
8)4×2+ 5×2= 9×2 because 4×2 and 5×2 are the same.
9) 2xy2–8xy2+ 4xy2= -2xy2 because 2xy2–8xy2+ 4xy2 are all the same.
10) 3a3b –4ab3= 3a3b –4ab3 because they are not alike.
1) distribute means to give to several things equally.
2) the distributive property is one of the most important in algebra
3) 24 * 7 = 20 + 4 * 7
4)This means the _opposite______ of
or distribute the negative
We simplify expressions and solve equations!
An equation will have an = sign.
There will be a form of the word is in the problem if it has been written in the English language waiting for translation to Math language.
In this chapter you will be working with linear equations. A linear equation is an equation of a line. You will be graphing lines later in this text series.
A linear equation has 2 things happening:1) There is an = sign. That is the equation piece.
2) The variable will be a 1stpower variable. That is what creates a line.
To solve equations both
linear and non-linear here is the rule. UNDO WHAT IS
BEING DONE TO THE VARIABLE.
To undo what is being
done to the variable you will do the order of operations backwards.
That means undo
addition and subtraction first then undo multiplication and division.
To undo an operation, you use inverse operations.
To undo addition, you use subtraction.
Why is getting a zero important?Adding 0 to anything gives you what you already have.
By the way to keep things equal when there is an equal sign, what ever you do one side of an equation you must do the same thing to the other side of the equation
x + 8 = 12What is happening to the variable?It is being added by 8.
Everything is adding, Everything is adding, so this is read 12 + -8
x + -8 = 12What is happening to the variable?It is being added by -8
The selling price of a certain DVD is $8 more than the price the store paid for it. The selling price is $18. What is the price the store paid for the DVD?What is the question?
What is the price the store paid for the DVD?
What are the math words and numbers?
18-8=10
The store paid $10 for the DVD
We simplify expressions and solve equations! An equation will have an = sign. There will be a form of the word is in the problem if it has been written in the English language waiting for translation to Math language.
In this chapter you will be working with linear equations. A linear equation is an equation of a line. You will be graphing lines later in this text series. A linear equation has 2 things happening:
1) There is an = sign. That is the equation piece.
2) The variable will be a 1stpower variable. That is what creates a line.
To solve equations both linear and non-linear here is the rule! UNDO WHAT IS BEING DONE TO THE VARIABLE!
To undo what is being done to the variable you will do the order of operations backwards.
That means undo addition and subtraction first then undo multiplication and division.
To undo an operation, you use inverse operations!
To undo addition, you use subtraction!
Why is getting a zero important? Adding 0 to anything gives you what you already have.
By the way to keep things equal when there is an equal sign, what ever you do one side of an equation you must do the same thing to the other side of the equation!
x + 8 = 12 What is happening to the variable? It is being added by 8
x + 8-8 = 12-8
Everything is adding, so this is read 12 + -8
Everything is adding, so this is read 8 + -8
x + -8 = 12What is happening to the variable?It is being added by -8
x + 8 = -12What is happening to the variable?It is being added by 8
x + -8 = -12What is happening to the variable?It is being added by -8
The selling price of a certain DVD is$8 more than the price the store paid for it. The selling price is$18.
What is the price the store paid for the DVD?
selling price = 8 + price store paid
-8x = 24
What is happening to the variable?It is being ___mutiplied_____ by __-8
If a variable is being divided by 8 you multiply by 8!
x= 3
8 0
What is happening to the variable?
It is being divided by 8
The area of a parallelogram =the base times the height. If the area of a parallelogram is 60 and the heightis 15, what is the base of the parallelogram?
What are the math words and numbers?
Area = Base x Height
A = bhor bh= A
Perfect way to set up the parallelogram problem. Now, to solve it: the parallelogram has an area of 60 and height of 15.
A = bh
60=b x 15 (divide both sides by 15 – opposite operation of multiplication)
b = 4
My base is 4.
1.We simplify expressions and solve equations.
2.There will be a form of the word is in the problem if it has been written in the English language waiting for translation to Math language.
3. In this chapter you will be working with linear equations.
4. A linear equation has 2 things happening:
1) There is an = sign. That is the equation peice.
2) The variable will be a 1st power variable. That is what creates a line.
5. To solve equations both linear and non-linear here is the rule.
UNDO WHAT IS BEING DONE TO THE VARIABLE!
6. To undo what is being done to the variable you will do the order of operations backwards.
7. That means undo addition and subtraction first then undo multiplication and division.
8. To undo an operation, you use inverse operations!
9. To undo addition is to add it’s opposite.
10. Why is getting a zero important?- Adding 0 to anything gives you what you already have.
11. By the way to keep things equal when there is an equal sign, what ever you do one side of an equation you must do the same thing to the other side of the equation.
Hey Mr. D!
#9 on section 3.1 part 2 is a mistake I think. You put -4 but isn’t it suppost to be -15? Because you need to add -9 and -11. I might be doing something wrong though.
Thanks!
1) We simplify expressions and solve equations.
2) An equation has an = sign.
3) There will a form of the word is in the problem if it has been written in the English language waiting for translation to math language.
4) Int his chapter you will be working with linear equatoins.
5) A linear equation has two things happening: 1)Thee is a = sign. That is the equation piece. 2)The variable will be a 1st power variable.
6) Undo what is being done to the variable!
7) To undo what is being done to the variable you will do the order of operations backwards.
8.) That means undo multiplication and subtraction first then undo multiplication and division.
9) To undo an operation, you use inverse operations!
10) To undo addition is to add it’s opposite!
11) Adding 0 to anything gives you what you already have.
12) By the way to keep things equal when there is an equal sign, What ever you do one side of an equation you must do the same= thing to the other side of the equation!
13) The variable is being added by 8 in x+8=12.
14) Everything is adding, so this is read 8+-8. x+8=12, Everything is adding, so this is read 12+-8. -8 -8
15) x+-8=12 the variable is being added by -8.
16) x+-8=-12 the variable is being added by -8.
17) $8+x=$18.
18) $10 is the answer. The math words and numbers are selling price, is, 8 more than, price the store paid, and selling price is 18.
19) The store paid $10 for the dvd.
1.) We simplify and solve equations
2.) An equation will have a = sign
3.) There will a form of the word is in the problem if it has been written in the English language waiting for translation to math language.
4.) In this chapter you will be working with linear equations
5.) 1) There is a = sign. That is the equation piece. 2) The variable will be the 1st power variable. That is what creates a line.
6.) Undo what is being done to the variable
7.) To undo what is being done to the variable you will do the order of operations backwards
8.) That means undo addition and subtraction first then undo multiplication and division
9.) To undo an operation, You use inverse operations
10) To undo addition is to add it’s opposite
11.) Adding a zero is important because adding a 0 to anything gives you what you already have
12.) By the way to keep things equal when there is an equal sign, What ever you do one side of an equation you must do the same= thing to the other side of the equation!
13.) x+8=12. ( The variable is being added by -8)
14.) Everything is adding, so this is read -8+8. x+-8=12, Everything is adding, so this is read 12+8.
15.) x+-8=12 ( The variable is being added by 8)
16.) x+8=-12 ( The variable is being added by -8)
17.) x=-8=-12 ( The variable is being added by +8)
18.) 18=8+x
13) The variable is being added by 8.
14) Everything is adding, so this is read 8+-8. x+8=12, Everything is adding, so this is read 12+-8 (twelve plus negative eight)
15) x+-8=12 the variable is added by -8..correct! However, the variable is equal to 16.
16) x+-8=-12 the variable is being added by -8.
1) To solve both linear and non-linear equations you need to undo what is being done to the variable.
2) To undo an operation, you use inverse operations!
3) To undo multiplication you use division! To undo division you use multiplication!
4) To undo multiplication you divide!
5) Getting a one is so important because multiplying 1 by anything gives you what you already have.
6) 8x=24 the variable is being multiplied by 8.
7) A fraction bar is a division sign.
8.) -8x=24 the variable is being multiplied by -8.
9) To undo division you multiply.
10) If a variable is being divided by 8 you multiply by 8.
11) Getting a one is important because multiplying 1 by anything gives you what you already have.
12) x/8=3 the variable is being divided by 8.
13) x/-8=3 the variable is being divided by -8.
14) 15x=60 is the question for the parallelogram.
15) The math words and numbers are area of a parallelogram= base times height, area of a parallelogram is 60, height 15.
16) Area= Base x Height
A= bh
or
bh= A
1.) To solve both linear and non-linear equations you need to undo what is being done to the variable.
2.) To undo an operation, you use inverse operations!
3.) To undo multiplication you use division! To undo division you use multiplication!
4.) To undo multiplication you divide!
5.) Getting a one is so important because multiplying 1 by anything gives you what you already have.
6.) 8x=24 the variable is being multiplied by 8.
7.) A fraction bar is a division sign
8.) -8x=24 ( the variable is being multiplied by -8)
9.) To undo division you Multiply!
10.) If a variable is being divided by eight you multiply by 8!
11.) Multiplying 1 times anything gives you what you already have
12.) x/8=3 ( The variable is being divided by 8)
13.) x/-8=3 the variable is being divided by -8.
14.) 14) 15x=60 is the question for the parallelogram.
15.) The math words and numbers are Area=Base x Height, A=bh, or bh=A
16.)15b=60 (divide both sides by 15) (1x=4) then (1=4)
1) -2x+8= -14 the variable is being multiplied by -2 and added by 8.
2) You do the order of operation backwards when solving an equation in order to undo the what is being done to the variable.
1. To undo multiplication, you use division.
2. To undo division you use multiplication.
3. To undo multiplication, you divide!
4. Why is getting a one important?- Multiplying 1 by anything gives you what you already have.
5. To undo division, you multiply!
6. If a variable is being divided by 8 you multiply by 8.
1.) We simplify and solve equations
2) An equation will have an = sign.
3) There will be a form of the word is in the problem
4) We will be working with linear equations.
5) The two things happening are, there is an equal sign. that is the equation piece. The variable will be a 1st power variable.
6)Undo what is being done to the variable
7)To undo what is being done to the variable you will do the order of operations backwards.
8) That means undo addition and subtraction first and then undo multiplication and division.
9) To undo and operation, you use inverse operations.
10)To undo addition is to add its opposite
11) Adding 0 to anything gives you what you already have.
12) To keep things equal when there is an equal sign, what ever you do to one sign of the equation, you must do to the other side as well
13) It is being added by 8
14) X + 8 | 12 + -8
15) It is being subtracted by 8
16) It is being added by 8
17) It is being subtracted by 8
18) What is the price the store paid for the DVD?
19) 18 + 8 + X
1) Undo the variable
2) To undo an operation you must use inverse operations
3) To undo multiplication you use division and vice versa.
4) When you multiply 1 by anything it gives you what you already have.
5) It is being multiplied by 8.
6) A fraction bar is a division sign.
7) It is being multiplied by – 8
8) To undo division you multiply.
9) If a variable is being divided by 8, you multiply by 8
10) X is being divided by 8.
11) X is being dived by -8.
12) What is the base of the parallelogram?
13) Base times height. a = bh or bh = a.
Section 3.3 Part 1
1.) In the equation -2x+8=-14, what is happening to the variable?
A. It is being multiplied by -2 and added by 8.
2.) Why do you do the order of operations backward when solving an equation?
A. To undo what is being done to the variable.
Section 3.2-
1) In the equation -2x + 8 = -14, what is happening to the variable?
A) It is being multiplied by -2.
2) Why do you do the order of operations backward when solving an equation?
A) To undo an operation.
you are correct. The variable is being multiplied by -2, and it is also added by 8.
And yes, we do order of operations backwards to undo what is being done to the variable.
3.3
Part 1
Q) In the equation -2x+8= -14, what is happening to the variable?
A) The variable(x) is being multiplied by -2 and added to 8.
Part 2
Q) Why do you do the order of operations backward when solving an equation?
A) To undo what is being done to the variable in said equation.
In the equation -2x + 8 = -14 what is happening to the variable?
It is being multiplied by -2 and added by 8!
Why do you do the order of operations backwards when solving an equation?
To undo what is being done to the variable!
In the equation -2x+8=-14, the variable is being multiplied by -2 and added by 8.
When solving an equation, you undo what is being done to the variable. That means that you use the inverse (opposite) operation. So that means to undo what is being done to the variable, you do the order of operations backwards.
Part I
In the equation -2x + 8 = -14, what is happening to the variable?Part IIWhy do you do the order of operations backward when solving an equation?
The x is being mutiplided by -2 and added by 8
Part II
Why do you do the order of operations backward when solving an equation?
So that we undo what is being done to the varibal (did you say that so we could get the number or varibal we started with?)
1) Undo what is being done to the variable.
2) If an equation has variables on both sidesof the = sign then bring the smaller x to the bigger x.
3) Add the opposite of 7x. Notice the x is moving with the 7.
4) 12x-8=7x+7
-7x -7x
__________
5x-8=0+7
5x-8=7
+8 +8
__________
5x+0=15
5x = 15
5) 5x=15
_ _
5 5
1x=3
x=3
6) 12x-8=7x+7
12(3)-8=7(3)+7
36-8=21+7
28=28
7) ( break even means when the sales = costs)
8.) How many shirts will you have to sell before you break even?
This is the question.
9) Sell $12 each, costs$112, costs$4 for each shirt
10) 12x=112+4x
-4x -4x
__________
8x=112+0
8x=112
8x=112
_ _
8 8
1x=14
x=14
11) 14 Shirts.
1) Undo what is being done to the variable
2) Bring the smaller X to the bigger X
3) Add the opposite of 7x, the X moves with the 7
4) -7x -7x. +8 +8. 5x + 0
5) 5x 15. 1x = 3
5 15
6) 12x –8 = 7x + 7
12(3) –8 = 7(3) + 7
36 –8 = 21 + 728 = 28
7)How many shirts do you have to sell to break even? sales = cost.
8)12x = 112 + 4x
-4x -4x
8x = 112 + 08x = 1128x= 112
8 8 0
1x = 14
X =14
1.) To solve equations both linear and non-linear here is the rule! Undo what is being done to the variable.
2.) What if an equation has variables on both sides of the = sign?
12x-8=7x+7 Bring the smaller x to the bigger x!
3.)12x-8=7x+7
-7x -7x
———————
Add the opposite of 7x. Notice the x is moving with the 7!
4.) Break even means- sales=cost
1) Undo what is being done to the variable
2) Bring the smaller X to the bigger X
3) Add the opposite of 7x, the X moves with the 7
4) -7x -7x. +8 +8. 5x + 0
5) 5x 15. 1x = 3
6) 5x/5= 15/5 (1x=3) (x=3)
7) 12(3) –8 = 7(3) + 7 (28=28)
Section 3.6
1.)Sometimes with a formula you have the answer but need to find out how the answer was found! This is an opportunity to solve equations.
2.) Formula for simple interest-
I=prt
I= Interest
P= Principal (how much start with)
R= Rate (the interest rate as a %)
T= Time (how long did the principal earn interest)
3.) Perimeter of a rectangle-
P=2l+2w
P= Perimeter (the distance of a rectangle)
L= The length
W= The width
Section 4.1-
Number doing dividing- 50
Test- Last 2 digits must be 50 or 00
Example- 200, 350, 5,250, and 3,000 all end in 00 or 50 so 50 can go into them all evenly.
Section 4.1
NUMBER DOING DIVIDING- 30
TEST- The number must be divisible by 10 and the sum of the numbers digits must be divisible by 3.
EXAMPLE- 120 = 1+2+0 = 3, which is divisible by 3 and 120 is divisible by 10. Therefore, 120 is divisible by 30, along with 150, 180, 210, 240, 270, 300..etc.
Section 4.1
Number doing dividing- 18.
Test- The last digit must be even and the sum of the digits must be able to be divided by 9.
Example- 90- It is even and 9+0=9 and 9 can be divided by 9.
Number doing dividing- 2350
Test- The last two digits must end in 00, 25, 50, or 75. It’s easy, just think of money!
Example- 650, 375 and 3000 all end in either 00, 25, 50 or 75.
Number doing dividing 150
test- the number must end in 25,50, or 75 so the answer can be either of these numbers.
example is 1000, can be divided by all the numbers above.
Number doing dividing-150
test- the number must end in 25,50, or 75 so the answer can be either of these numbers.
example is 1000, can be divided by all the numbers above
The number I am doing is 24. For a number to be divisible by 24, the last three digits of the number must be a number divisible by 8, and they must add up to a number divisible by 3.
Example: 2400: 2+4+0+0=6 which is a number divisible by 3, and the last three digits 400 are a number divisible by 8 (400/8=50).
THE NUMBER I AM DOING IS 164!
TEST
IF THE LAST 2 DIGITS OF THE NUMBER CAN BE DIVIDED BY 4 THEN THE NUMBER CAN BE DIVIDED BY 4 ALSO.
EXAMPLE
164 CAN BE DIVIDED BY 4 BECAUSE THE LAST 2 DIGITS CAN BE DIVIDED BY 4, SO 4 GOES INTO 164!
4.5
What is an y- intercept? The line crosses the y-axis and x=0
What is an x- intercept? The line crosses the x-axis and y=0
4.6
Name 5 places in the “real world” where slope exists:
1. Tires
2. Ski Slopes
3. Ramps
4. Windsheild
5. Stair Rail
Hi Mr. D. Here are two questions from course work part 1. Q. In the equation -2x + 8 = -14, what is happening to the variable? A. The variable is being multiplied by 2 and added by 8. 2. Q. Why do you do the order of operations backward when solving an equation? To undo what is being done to the variable.
If a binomial is a polynomial, then is a polynomial a binomial.
It is because a Binomial has two terms so a polynomial has at least 2 terms. Poly means many.
Jesse D
Why is math a language?
Math is a language because it has defintions of words. Also, it uses numbers instead of words and many people can not interpret the numbers. In math some people can’t understand the numbers just like other people can’t interpret other languages.
Why is Math language like dog language?
Math language is like dog langauge because in math word probelms you half to listen for special words to know what to do just like how the dog listens for skipper,park, and go.
Comments on: "Algebra I Course Work" (648)
1. Why is math a langugae?
The definition of a language is:
A systematic means of communicating by the use of sounds and conventional symbols. Math is systematic, a means of communication, and it uses sounds and conventional symbols. Example 3+4-5=2
2. Why is math language like dog language?
Math language and dog languge is similar, because dogs have selective hearing and also in math we use selective hearing.
Example: There is a dog named Skipper. We tell Skipper, “Skipper, are you ready to go to the park?” All our friend, Skipper, hears is “Skipper”, because that’s his name, “Go”, because go is an action, and “Park” because park is a good place to go, and all the rest of the words he hears are blah, blah,
blah,blah.
1) Why is math a language?
Math is a language because it is a systematic way of communicating by the use of sound or conventional symbols. This is the definition of a language. Which means math is a language because it is all these things.
2) Why is math language like dog language?
Math language is like dog language because you only have to know certain words or things about math language to know the language
Here is my all that work for nothing Mr. D
3(6+2(0) – 2(3 . 3 + 8 to the power of 2(2-4-2)
18 – 18
0
1. What is an operation in math?
In math, an operation is an action or procedure that produces something.
2. Define addition
To count things that are the same.
3.Why can you Not count these 1\4 + 2\5?
The definition of addition is: to count things that are the same. In order to add, the denominators or the numbers on the bottom must be the same. In this specific case, the denominators are not the same.
4. Why can you count these 1\5 + 2\5?
In this case, the denominators (or the numbers on the bottom), are the same so you can add these two fractions together.
5. List 12 words that mean add:
1.plus, 2.more, 3.total, 4.greater, 5.bigger, 6.up, 7.positive, 8.ascend, 9.deposit, 10.increase, 11.sum, 12.grow
1.What is an operation?(in math)
An operation is an action or procedure that produces something in math.
2.Define: Addition
To count things that are the same.
Example: 3 pens + 2 pens = 5 pens
3.List 6 words that mean add
1. plus, 2. positive, 3. bigger, 4. greater, 5. sum, 6. up,
4.Addition and Subtraction are inverse operations!
An inverse means the opposite of.
Counting from left to right now becomes counting from right to left.
5. Define: subtraction
1) A way of finding out how far it is between things (distance)
2) To take from something that is already there.
6. List ten words that mean subtraction:
1.minus, 2.less, 3.negative, 4.descend, 5.take away, 6.down, 7.smaller, 8, withdraw, 9.decrease, 10.difference.
Why is math a Language?
Math is a Language because it is very hard to understand and it is difficult to learn, and hard to process it. But once you have learned it then it becomes easyer. Just like other Languages it takes time to learn and years to understand it.
Why is math Language like dog Language?
Math Language is like caveman Language, it goes back in time, to the ages, and at first all we hear is Blah Blah Blah, but if we study it and its habbits then it will sound like 2(3x-4y)6a=49 and then we know a different Language!
1.Why is math a language?
Math is a language because it is a Systematic way to communicate by the use of sounds or conventional symbols. Math uses all of these things therefore it qualifies as a language.
2.Why is math like dog language?
Math is like dog language because it has information that isnt really needed to figure out the answer. Example-Kelly has 10 pencils in he backback and her friend Jennifer has 7 pencils in her backpack. How many pencils do they have all together? Answer 17.
You didnt need to know that the pencils where in Kelly’s or Jennifer’s Backpack.You didnt even need there names. All you needed to know is how many pencils are there in total.
1. Why is math a language?
Math is a language because of the use of conventional symbols and sounds, there is a system to math and its a way we communicate.
2. Why is math language like dog language?
Math language is a lot like dog language because even though we speak it in the english language only parts of it have any meaning at all, and the same goes for a dog, it can hear us but may not know what we are talking about.
1. Why is math a language?
Math is a language because it is a systematic way to communicate by the use of sounds or conventional symbols. Math uses all of these, therefore it qualifies as a language.
2. Why is math language like dog language?
Math language and dog languge are similar, because dogs have selective hearing and in math we use selective hearing.
Example: There is a dog named Skipper. We tell Skipper, “Skipper, are you ready to go to the park?” All our friend, Skipper, hears is “Skipper”, because that’s his name, “Go”, because go is an action, and “Park” because park is a good place to go, and all the rest of the words he hears are blah, blah,blah,blah.
1)Why is math a language?
Because math uses a systematic means of communicating by the use of sounds and conventional symbols.
2)Why is math like a dog language?
Because all we need to know is certain words or things about math language to know it.
1.Why is Math a language?
Math is a language because it fits the definition of a language. Math has symbols and sounds.
2.Why is Math language like dog language?
Because,like dog language, in Math language only certain words have meaning. You only need to know a few of them to understand the language.
math is language because you can communicate with others by using numbers and math sounds and symbols.
math language is like a dogs because only certain words need to make sense.
Courtney W.
1) Why is Math a language?
Because it is a systematic means of communication, and it uses sounds or sybols. the same as a regular language.
2) Why is Math language like Dog language?
In Math language only certain words have any meaning at all. Just like Dog language.
1) What is an operation?
An action or procedure which producess something.
2) Define: Addition.
To count things that are the same.
3) Why can you not count these? 1/4 + 2/5=
Because you can not add the denominators together since they are not the same.
4) Why can you count these? 1/5 + 2/5=
Because the denomiators are the same, meaning they can be added together.
5) List 122 words that mean add.
1. add, 2.plus, 3.more, 4.total, 5.greater, 6.deposit, 7.bigger, 8.grow, 9.up, 10.positive, 11.ascend, 12.increase
1) What is an operation?
An action or procedure which produces something.
2) Defien: Addition
To count things that are the same.
3) List 6 words that mean add:
add, total, plus, greater, more, bigger
4) Inverse 5)oppisite 6) right 7)left
8) Define: Subtraction
1. A way to find out how far it is betweeb things.
2. To take from something that is already there.
9) List 10 words that mean subtract:
subtract, minus, less, negative, descend, take way, down, smaller, withdraw, decrease.
Session 1.2
1. What is an operation in math?
An operation is an action or procedure that produces something.
2. Define addition.
To count things that are the same
3. Why can we not count 1/4 + 2/5?
To add, we count things that are the same. Because the denominators are not the same, we cannot count 1/4 and 2/5.
4. Why CAN you count these? 1/5 + 2/5
In this question the denominators are the same, unlike question #3, therefore they can be counted.
5. List 12 words that mean add.
1. Add
2. Positive
3. Bigger
4. Up
5. Plus
6. More
7. Greater
8. Grow
9. Ascend
10. Deposit
11. Increase
12. Sum
Session 1:3
1. What is an operation? (in math)
An operation is an action or procedure that produces something.
2. Define: Addition
To count things that are the same
3. List 6 Words that mean add:
Add
Grow
Up
Greater
Sum
Positive
4. Addition and Subtraction are inverse operations!
An inverse means the opposite of.
Counting from left to right now becomes counting from right to left
5. Define: Subtraction
1) A way to find out how far it is between things
2) To take from something that is already there
6. List 10 Words that mean subtract:
Subtract
Minus
Less
Negative
Descend
Take away
Down
Smaller
Withdraw
Decrease
Section 1.2
What is an Operation(in math)?
An operation is an action or procedure which produces something.
Addition-
To count things that are the same.
*Add
*Plus
*More
*Total
*Bigger
*Grow
*Up
*Positive
*Ascend
*Deposit
*Increase
*SUM
All numbers want to be a Ten!!
Section 1.3
What is an Operation(in math)?
An operation in math is an actoinor a procedure which produces something.
Subtraction-
1)A way to find out how far it is between
things(Distance).
2)To take from something that is already there.
*Subtract
*Minus
*Less
*Negative
*Descend
*Take Away
*Down
*Smaller
*Withdraw
*Decrease
*DIFFERENCE
Section 1.4 part 3.
1] What is an operation?
An action or procedure that produces something.
2] Define: Addition.
To count things that are the same.
3] List 6 words that mean add:
Add, Bigger, Plus, More, Increase, Up
4]Inverse 5]opposite 6]right 7]left
8] Define: Subtraction.
1) Away to find out how far it is between something.
2) To take something that is already there.
9] List 6 words that mean Subtract:
Less, Subtract, Minus, Down, Smaller, Decrease
10] Define: Multiplication.
To count things by more than one at a time.
11] List 5 words that mean multiply:
Multiply, Times, By, Of, Product,
1.) What is an operation (in math)?
An action or procedure that produces something.
2.)Define: Addition
To count things that are the same.
Example: 2 dogs + 3 dogs = 5 dogs
3.)list six words that mean add
1.up, 2.deposit, 3.total, 4.plus, 5.positive, 6.increase
4.)Addition and subtraction are inverse operations! Inverse means the opposite of. Counting from left to right now becomes counting from right to left
5.)Define: subtraction
I.a way of finding out how far it is between things (distance)
II. To take from something that is already there.
6.)List six words that mean subtract:
1.minus, 2.decrease, 3.negative, 4.take away, 5.withdraw, 6.descend,
7.)Define: multiplication
To count things by more than one at a time.
8.List five word that mean multiply
1.times, 2.by, 3.of, 4.product, 5.multiply
Oops! This one is section 1.4!
Section 1.5
1.)What is an operation (in math)?
An operation in math is an action or procedure that produces something,
2.) Define: Addition
To count things that are the same.
Example: 24 lollipops + 10 lollipops = 34 lollipops
3.) List 4 words that mean add
1.up, 2.plus, 3.positive, 4.greater,
4.)a.Inverse, b.opposite, c. right, d.left,
5.) Define: Subtraction
1.A way of finding out how far it is between things (distance)
2. To take from something that is already there
6.)List four words that mean subtract
1.less, 2.negative, 3.minus, 4.descend,
7.)Define: Multiplication
To count things by more than one at a time
8.)List five words that mean multiply
1.times, 2.of, 3.by, 4.multiply, 5.product
9.)Multiply and divide are inverse operations!
10.)1\2
11.) 2
12.)Define: Division
To separate things into equal groups
13.)List six words that mean divide
1.cut, 2.per, 3.divide, 4.separate, 5.quotient,
6.ratio
14.Define percent
“Per” means divide and “Cent” is the prefix for 100.
So together, they mean to divide by 100.
Session 1:4
1. What is an operation? (in math)
An operation is an action or procedure that produces something.
2. Define: Addition
To count things which are the same
3. List 6 Words that mean add:
Add
Grow
Up
Greater
Sum
Positive
4. Addition and Subtraction are inverse operations!
An inverse means the opposite of.
Counting from left to right now becomes counting from right to left.
5. Define: Subtraction
1) A way to find out how far it is between things
2) To take from something that is already there
6. List 6 Words that mean subtract:
Subtract
Minus
Less
Negative
Descend
Take away
Down
Smaller
Withdraw
Decrease
7. Define: Multiplication
To count things by more than one at a time
8. List 5 words that mean multiply.
1. Multiply
2. By
3. Product
4. Times
5. Of
Session 1:5
1. What is an operation? (in math)
An operation is an action or procedure that produces something.
2. Define: Addition
To count things which are the same
3. List 6 Words that mean add:
Add
Grow
Up
Greater
Sum
Positive
4. Addition and Subtraction are inverse operations!
An inverse means the opposite of.
Counting from left to right now becomes counting from right to left.
5. Define: Subtraction
1) A way to find out how far it is between things
2) To take from something that is already there
6. List 6 Words that mean subtract:
Subtract
Minus
Less
Negative
Descend
Take away
Down
Smaller
Withdraw
Decrease
7. Define: Multiplication
To count things by more than one at a time
8. List 5 words that mean multiply.
1. Multiply
2. By
3. Product
4. Times
5. Of
9. Multiply and Divide are inverse operations!
10.
11.
12. Define: Division
To separate things into equal groups
13. List 6 Words that mean divide:
Per
Quotient
Divide
Cut
Ratio
Separate
14. Define percent:
Divide by 100
1.6
1.)What is the difference in meaning between “less than” and “is less than”?
The main difference between “less than” and “is less than” is the key word “is”.
The word “Is” means equal or happening now.
2.)Write a sentence using at most meaning is less than or equal to.
She told her brother, “You’re only going to get at most $10 for helping me with this job.”
3.)Write a sentence using at least meaning is greater to or equal to.
Her brother retorted,”I deserve at least $15.”
1.6
1.What is an operation?
An action or procedure that produces something.
2.Define: Addition
To count things that are the same.
Ex. 3 blue folders + 2 blue folders = 5 blue folders
3.List four words that mean add:
1. positive, 2. up, 3. plus, 4. greater,
4.Addition and subtraction are inverse operations!
Inverse means the opposite of.
Counting from left to right now becomes counting from right to left.
5.Define: Subtraction
1.)a way of finding out how far it is between things (distance)
2.)To take from something that is already there.
6.List 4 words that mean subtract:
1. negative, 2. less, 3. down, 4. minus,
7.Define: multiplication
To count things by more than one at a time.
8.List 5 words that mean multiply:
1. by, 2. times, 3. product, 4. of, 5. multiply,
9.Define: Division
To separate things into equal groups
10.List six words that mean divide:
1. divide, 2. cut, 3. per, 4. separate, 5. ratio, 6. quotient,
11.Define: percent
Percent means to divide by 100.
Ex. 12% is the same as 12\100
12.List five words that mean equal to:
Equal, The Same As, Equivalent, Congruent, Is,
13.What about things being equal in time:
Is- The time it is right now
Was- The time before now
Will be- The time in the future
14.In Math, what are the only 3 ways numbers are related!
1. They are equal
2. Numbers can be greater than
3. Numbers can be less than
15.List 6 words or (phrases) that mean not equal to without using the word not:
At most
Is less than
Is less than or equal to
Isn’t
Less than
Not the same as
16.Words that mean not equal to:
Not less than > with a line under it
Not less than or equal to >
Not greater than < with a line under it
Not greater than or equal to <
Coursework 1.6 – Part I
1. What is an operation? (in math)
An operation is an action or procedure that produces something.
2. Define: Addition
To count things which are the same
3. List 4 Words that mean add:
Add
Grow
Up
Sum
4. Addition and Subtraction are inverse operations!
An inverse means the opposite of.
Counting from left to right now becomes counting from right to left.
5. Define: Subtraction
1) A way to find out how far it is between things
2) To take from something that is already there
6. List 4 Words that mean subtract:
Subtract
Minus
Less
Descend
7. Define: Multiplication
To count things by more than one at a time
8. List 5 words that mean multiply.
1. Multiply
2. By
3. Product
4. Times
5. Of
9. Define: Division
To separate things into equal groups
10. List 6 Words that mean divide:
Per
Quotient
Divide
Cut
Ratio
Separate
11. Define percent:
Divide by 100
12. List 5 words that mean equal to
Equal
The Same As
Equivalent
Congruent
Is
13. What about things being equal in time?
Is – Now
Was – in the past
Will be – in the future
14. In Math, what are the only 3 ways numbers are related!
1. Equal To
2. Less Than
3. Greater Than
15. List 6 Words (or phrases) that mean not equal to without using the word not:
1. Incongruent
2. Is Less Than
3. Is Greater Than
4. At Most
5. At Least
6. More Than
16. Words that mean not equal to: Put in the correct symbol <, or >
Not Less Than means > with an underline
Not Less Than or Equal to means >
Not Greater Than means < with an underline
Not Greater Than or Equal to means <
Coursework 1.6 – Part II
1. What is the difference in meaning between “less than” and “is less than”?
The difference is the word “is” which means equal.
2. Write a sentence that uses the words at most meaning is less than or equal to.
At most I will give you $25 for your club.
3. Write a sentence that uses the words at least meaning is greater than or equal to
I will give you at least $25 for your club.
Section 1.5
1] What is an operation?
An action or procedure that produces something.
2] Define: Addition
to count things that are the same.
3] 4 words that mean add: Add, Plus, Bigger, Up
4] Inverse 5] Opposite 6] Right 7] Left
8] Define: Subtraction
1) A way to find out how far it is between something.
2) To take from something that is already there.
9] 4 words that mean subtract: subtract, take away, down, smaller
10] Define: Multiplication
To count things by more than 1 at a time.
11] 5 words that mean multiply: multiply, times, by, of, product
12] inverse 13] 1/2 14] two
15] Define: Division
To separate things into equal groups.
16] 6 words that mean division: divide, cut, separate, ratio, per,quotient
17] Define: Percent
Per means divide and Cent is the prefix for 100. So percent means you are dividing by 100.
section 1.4 course work part 3
1)what is an operation(in math)?
an operation in math is an action or a procedure which produces something.
2)define Addition-
to count things that are the same.
3)list six words that mean add.
Add
plus
more
total
grow
SUM
4)Addition and subtraction are INVERSE operations.
Inverse means the OPOSITE of.
Countimg from left to RIGHT now becomes counting from right to LEFT.
5)define sutraction-
a.a way to find out how far it is between things.
b.To take from something that is already there.
6)list six words that mean subtract:
minus
less
take away
down
smaller
DIFFERANCE
7)Define multiplication-
to count things by more than one at a time.
8)list five words that mean multiply:
times
by
of
more
PRODUCT
Section 1.6 Part 1
1] What is an operation?
An action or procedure that produces something.
2] Define: Addition
To count something that are the same.
3] 4 words that mean add: add, plus, up, bigger
4] Inverse 5] Opposite 6] right 7] Left
8] Define: Subtraction
1) A way to find out how far it is between something.
2) To take from something that is already there.
9] 4 words that mean subtract: subtract, take away, down, smaller
10] Define: Multiplication
To count things by more than 1 at a time.
11] 5 words than mean multiply: multiply, times, by, of, product
12] Define: Division
To separate things into equal groups.
13] 6 words that mean divide: divide, cut, separate, ratio, per, quotient
14] Define: Percent
Per means divide and Cent is the prefix for 100. So you are dividing by 100.
15] 5 words that mean equal: equal, same as, equivalent, congruent, is
16] happening now 17] happening before
18] Happening in the future
19] What are the only 3 ways numbers are related?
1) = 2) greater than 3) less than
20] 6 words (or phrases) that means not equal to without using the word NOT: isn’t, less than, greater than, at most, at least, = with line through it
21] > with line under it 22] >
23] < with line under it 24] <
Section 1.6 Part 2
1] What is the difference in the meaning between “less than” and “is less than”?
The word “is” means equal or happening now.
2] Write a sentence that uses the words at most meaning is less than or equal to.
There is at most 10 bags of Horse feed.
3] Write a sentence that uses the words at least meaning is greater than or equal to.
There is at least 5 bags of Cattle feed.
We have someone who is an expert with math and animals. Awesome!
Mr. D
Section 1.6 PART 2
1. What is the differance in meaning between less than and is less than?
The word “is” means equal to or happening now.
2. Write a sentence that uses the words at most meaning is less than or equal to.
There is at most 3 tubs of icecream in the freezer.
3. Write a sentence that uses the words at least meaning is greater than or equal to.
There is atleast 1 box of cereal in the cabnit.
Very good graham. Math on a suinday. Oh my!
the difference between less than and is less than is the word is which means equal to or happening now.
i will give you $15.00 at most to buy a book at the book fair.
i will give you at least $20.00 to buy a pair of shoes.
1. What is the difference between “less than” and “is less than”?
If you say “4 less than 6″ that would mean 6 minus 4. But “4 IS less than 6″ would be simply saying that 4 is a smaller number than 6.
2. Write a sentence with the phrase “at most” in it.
The person ran 1 mile, at the most! (I guess he’s not much of a runner.)
3. Write a sentence with the phrase “at least” in it.
I really don’t know how to answer this question; give me AT LEAST a few more days!!!
1. What is the difference between the meaning less than and is less than?
The difference is the key word “is” meaning happening now.
2. Write a sentance with the phrase “at most” in it.
)
I can hit my drive 270 yards at most.
(I honestly can
3. Write a sentance with the phrase “a least” in it.
Can I buy at least two more outfits?
What is the difference between a rational and irational number?
A rational number is a number that is repeating or terminating, whereas an irrational number is not.
1. what is the difference between “less than” and “is less than”?
the word is. meaning equal to or happening now.
2. write a sentence using “at most”.
at most, there are twe cats in that house.
3. write a sentence using “at least”.
there are at least 3 horses in that pasture.
What is the difference between a rational and an irrational number?
Rational numbers are any number that can be written as a fraction or a repeating or terminating decimal. An irrational number is one that is a non-terminating or non repeating decimal. So, a number cannot be both a rational and an irrational number, because a rational number is a repeating or terminating decimal and an irrational number is a non-terminating, non-repeating (unending)decimal.
2.2
Why does it matter that the “x” is first in the translation of 8 less than a number is 24?
In this case, the letter “x” represents a larger number than 8.
Section 2.1 Part 2
What is the differance between a rational and a irrational number?
A rational number is a number that is repeating or terminating, while a irrational number is unpredictable
Section 2.2 Part 3
Why does it matter that the X is first in the translation of 8 less than a number is 24?
The Letter X represents a number larger then 8
Why does it matter that the “x” is first in the translation of 8 less than a number is 24?
In this example, x is bigger than 8 which means that x – 8 = 24
2.1 part 2
Rational is predictable, irrational is unpredictable.
2.2 part 3
The x is a bigger number than 8.
What is the difference between a rational and irrational number?
In math, rational means that you know what the next number is in a decimal and irrational means that it is a non terminating, non repeating decimal.
the difference between a rational and irrational number is….. rational is predictable and irrational is unpredictable.
1.) Why is adding and subtracting integers like gains and losses?
Adding and subtracting integers are like gains and losses, because a gain is the same as addition and a loss is the same thing as subtraction. When you gain something, you are adding something. (Ex. a gain of 400 to a gain of 397.) When there is a loss of something, you are subtracting something. (Ex. a loss of 262 and gain of 254)
Very good Haley, you are making total sense out of this!
Mr. D
the reason why x comes first in the translation 8 less than a number is 24 is because if x is bigger than 8 then it would end up in negative numbers if you put the x second. but if you put the x first it would make perfect sense that x-8=24 which is actually 32-8=24
the reason why x is first in the translation is because 8 is less than a number 24 is because if x is bigger than 8 then it would end up in negative numbers if you put the x second.if you put the x in first then it makes sense that x-8=24 which is actually 32-8=24
Why does it matter whether the “x” is first in the translation of 8 less than a number is 24?
The reason why x comes first in the translation is because 8 is the lower number therefor it would be negative if you solved the problem 8-x=24, so the correct way to translate the problem would be x-8=24. [x=32]
Section 2.1 Part 2
What is the difference between rational and irrational numbers?
A rational number is a number that repeats or stops and is predictable!:D
An irrational number is unpredictable!:D
Section 2.2 Part 3
Why does it matter whether the “x” is first in the translation of 8 less than a number is 24?
Because the “x” represents a larger number than the 8. For example: Would you put the number 20 before or after the number 4 in a division problem which you wanted the answer to be positive?? Definitely before.
adding and subtracting intergers are like gains and losses because gain means add and loss means subtract.
Section 2.4 part 3
Why is adding integers like gains and losses?
When adding you are gaining something. When subtracting you are losing something.
Section 2.4 Part 3
Why is adding intigers like gains and losses?
Because when you add things you are gaining things,
and when you subtract things you are lossing things.
Section 2.4 Part 3
Why is adding intigers like gains and losses?
When you add something you gain and when you subtract something you losing something from the total
Section 2.7 Part 3
If a binomial is a polynomial, then is a polynomial abinomial?
Yes because a polynomial is something with terms and a binomial is something with 2 terms
If a binomial is a polynomial, then is a polynomial a binomial.{Choose always, sometimes or never and say why you choose your choice.}
Always, because a polynomial means something with terms and a binomial means something with two terms.
If a binomial is a polynomial, then is a polynomial a binomial.Choose always, sometimes or never and say why you choose your choice.
Sometimes, because a binomial is a polynomial, but a polynomial is not always a binomial, because it could be a monomial or a trinomial as well.
2.7 part 3
Sometimes, because it could also be a monomial, binomial, or trinomial.
Math is a langue because you can comunicate by using numbers and symbles.
Math is like a dog langue because only a few words need to make sense.
2.7 part 3
A polynomial is a binomial some times because polynomial means something with one or more terms.
3.3
1. In the equation -2x+8 =-14, what is happening to the variable?
In this equation, the variable is being added by added by 8 and multiplied by -2.
2. Why do you do the order of operations backwards when solving an equation?
Because, you have to use inverse operations and you have to add its opposite in order to solve the equation correctly.
3.3 part 1
1) X is being added by 8 and multiplied by -2.
2) The operation is an Inverse Operations. So we have to add the opposites to answer the question correctly.
Part I
In the equation -2x + 8 = -14, what is happening to the variable?
It is being added by 8 and multipled by -2.
Part II
Why do you do the order of operations backward when solving an equation?
Because it is an inverse operation.
section 3.3 course work part I
1. In the equation -2x+8 =-14, what is happening to the variable?
In the equation, X, the variable, is being added by 8 and multiplied by -2 to equal -14. =D
2. Why do you do the order of operations backwards when solving an equation?
We do the order of operations backwards to undo what is being done to the variable. =D
Part I
In the equation -2x + 8 = -14, what is happening to the variable?
It is being added by 8 and multiplied by -2
Part II
Why do you do the order of operations backward when solving an equation?
Because it is and inverse operation so we need to undo what is being done to the variable
Part 1
In the equation -2x +8 = -14, what is happening to the variable?
It is being mulitplied by -2 and added by 8.
Part 2
Why do you do the order of operations backward when solving an equation?
Because it is and inverse operation so we need to undo what is being done to the variable.
Part 1
In the equation -2x+8=-4, what is happening to the variable?
A.) It is being multiplied by -2 and 8.
Part 2
Why do you do the order of operations backward when solving an equation?
A.) Because that is how you figure out equations.
Bethany E. =)
What is the difference between rational and irrational number?
Rational means it is always predictable and you always know what is going to come next.
Irrational means that it is unpredictable, you never know what number is going to come next.
Part 1:
In the equation -2x+8=-14, what is happening to the variable?
The variable x is being multiplied by -2 and added by 8.
Part 2:
Why do you do the order of operations backward when solving an equation?
You have to do it backwards because you need to undo what is being done to the variable. Undo addition and subtraction first. Then undo multiplication and division. To undo an opeation, you use inverse operations.
Algebra 1
Lesson 3.3
Part 1:
In the equation -2x+8=-14, what is happening to the variable?
A. The variable x is being multiplied by -2 and added by 8.
Part 2:
Why do you do the order of operations backward when solving an equation?
You need to undo what is being done to the variable. To undo an operation, you use inverse operations. (Opposite)
Why does it matter whether the ”x” is first in the translation of 8 less than a number is 24?
Because you dont know what ”x” stands for, it may be 10, if so, you cant do 8-10, the ”x” always has to go first, then it would be 10-8, that makes more sence.
why is adding integers like gains and losses?
Because you get some then you lose some, it like starting from zero, if i lose 5 and gain 10 i wouls have 5 not negative 5 but positive five. you didnt know how many i had in the begining, so we say i had 0, we always start at 0.
4.1-COURSE WORK-PART V-
TEST FOR DIVISABILITY-MAKING UP YOUR OWN RULES!
NUMBER DOING DIVIDING: 28
TEST: THE NUMBER MUST BE EVEN. ENDING IN 0,2,4,6,OR 8. ALSO, MUST BE DIVISABLE BY 4.
EXAMPEL: 84,140,56, ALL EVEN AND DIVISABLE BY 4.
Hi Natalie,
since 28 = 2 x 2 x 7 the test will work but 7 must also divide in.
so how to tell if 28 goes into a number is if can be divided by 4 and 7
Nice thinking!
Mr. D
thanks =)
=D
4.1-COURSE WORK-PART V-
TEST FOR DIVISABILITY-MAKING UP YOUR OWN RULES!
NUMBER DOING DIVIDING: 15
The number can be divided by 3 and 5.
Why is math a language?
Because a language is a systematic means of communicating using sounds and symbols, and math contains symbols and can also be explained through sounds. Also, numbers can be used to communicate.
Why is math language like dog language?
Because, like how dogs can only understand certain words, only certain words in math have any meaning.
I forgot my initials.
Cameron S.
My bad.
4.1 part 5
Number: 12
Rule: The sum of the number has to be multiplied by another number to equal 12.
Example: 48: 4+8=12, 12*1=12
Hi
For 12 the number would have to be divisible by 4 and 3.
48 can be divided because the sum of the digits can be divided by 3 and the last 2 digits can be divided by 4,so 48 can be divided by 12.
Mr. D
Q)Why is math a language?
A)Math is a language because it fits into the criteria of what a language is.
Language is:
A means of communication through sounds and conventional symbols.
Q)Why is math language like dog language?
A)Math language is like dog language because dogs have selective hearing, as do we in math language.
While we may have just made a sentence, a dog will only hear words it knows. Such as: Skipper, Park, Go, Human, etc.
In a word problem, and in real life situations, we may hear a lot of blahblahblah. We have to find what the actual question is, in all of that blah.
What is an operation? (in math)
An action or procedure which produces something.
Define: Addition
Counting things that are the same.
Why can you NOT count these? 1/4 + 2/5
Because they’re not the same. (Different denominators)
Why CAN you count these? 1/5 + 2/5
Because they have the same denominators, and are therefore the same.
Add
Plus
More
Total
Greater
Bigger
Grow
Up
Positive
Ascend
Deposit
Increase
Hello Sasha0fluff
There really is a lot of “blah” in math word problems!
Have a great Sunday
Mr. D
Hi,
The vocabulary builds quickly and once you have it, you have it!
Mr. D
Q) Why is math a language?
A) Math is a language because just like any other language, it is a systematic means of a communication through sounds and conventional symbols.
Q) Why is math language like dog language?
A) Math language is like dog language because in the same way that dogs can only understand certain words, only certain words in math have any meaning.
Q) What is an operation (in math)?
A) A procedure/action that produces an outcome.
Define: Addition
To count things that are the same!
Words in math that mean add:
Add
Plus
More
Total
Bigger
Up
Grow
Positive
Ascend
Deposit
Increase
Sum
I like the smiley face!
See how often those words show up in your everyday conversations. You have speaking math and didn’t even know it.
Mr. D
4.1 Part V
Making up your own rules
Number doing dividing-50
Test-the last 2 digits are 00 or 50
example-12,350 is divisible by 50
That’s a good one!
Nice work…
You are thinking!!!!!!
Mr. D
Wait, do I have to answer all of these again? Okay then.
————
What is an operation? (in math)
An action or procedure which produces something.
————
Define: Addition
Counting things that are the same.
————
List 6 words that mean add:
Add
Plus
More
Total
Greater
Bigger
————
Addition and subtraction are inverse operations. An inverse means the opposite of. Counting from left to right now becomes counting from right to left.
————
Define: Subtraction
1) The distance between things.
2) Taking from something that is already there.
————
List 10 words that mean subtraction:
Subtract
Minus
Less
Negative
Descend
Take away
Down
Smaller
Withdraw
Decrease
Oh, and difference.
>——-4.5 -Course Work- Part I——-<
What is a y-intercept?
Where a line crosses the y-axis AND (important!) X=0.
What is an x-intercept?
Where a line crosses the x-axis AND (important!) Y=0.
What is an operation? (in math)
An action or procedure which produces something.
—
Define: Addition
Counting things that are the same.
—
Why can you NOT count these? (1/4 + 2/5)
They are not the same!
—
Why can you count these? (1/5 + 2/5)
They are the same!
—
List 12 words that mean add:
Add
Plus
More
Total
Greater
Bigger
Grow
Up
Positive
Ascend
Deposit
Increase
Inverse means opposite of. Subtraction and Addition are opposite, so now counting from left to right is counting from right to left.
Define: Subtraction
1) The distance between things
2) To take away from something that is there
10 words that mean subtraction:
Subtract
Minus
Less
Difference
Descend
Take away
Down
Smaller
Withdraw
Decrease
Difference
1.4
Define: Multiplication
To count by more than 1 at a time
Words that mean multiply
Multiply
Times
By
Product
Of
Compound
Procreate
Multiply and Divide are inverse opperations, just as adding and subtracting are!
On a multiplication problem, left to right is called “running” up and down is “rising”
Addition and Subtraction are opposite operations!
An inverse means the opposite of.
Counting from left to right now becomes counting from right to left.
—
Define: Subtraction
1) A way to find out how far it is between things. (distance)
2) To take from something that is already there.
—
List 10 words that mean subtract:
Subtract
Minus
Less
Negative
Descend
Take away
Down
Smaller
Withdraw
Decrease
Define: Multiplication
To count things by more than one at a time.
List 5 words that mean multiply:
Multiply
Times
By
Product
Of
Multiply and divide are inverse operations.
——-
If 18 / 2 = 9 then 10 x 18/2 = 9 (?)
——-
If 50 / 1/2 = 25 then 10 x 1/2 = 25
——-
Define: Division
To separate things into equal groups.
——-
List 6 words that mean divide:
Divide
Cut
Separate
Ratio
Quotient
Per
——-
Define percent
Per means divide, and cent means 100.
1.4
Define: Multiplication
To count things by more than one at a time.
—
List 5 words that mean multiply:
Multiply
Times
By
Product
Of
Define: division
To seperate things into equal groups.
Words that mean division
Divide
Cut
Seperate
Ratio
Quotient
Per!
Percent is actually 2 words, and when put together mean divide by 100 (:
1.5
Define: Division
To separate things into equal groups.
*A remainder is what is left over if it does not fit into one of the equal groups.
—
List 6 words that mean divide:
Divide
Cut
Separate
Ratio
Quotient
Per
—
Define percent (or per cent):
Per means divide; cent is a prefix for 100 (as in century)
1.6
List 5 words that mean “equal to”:
Equal
The same as
Equivalent
Congruent
Is
—
Words that mean “equal to”:
What about things being equal in time?
Is – Happening now
Was – Happening before
Will be – Happening in the future
—
In math, what are the 3 ways numbers are related?
1) They are equal to
2) They are greater than
3) They are less than
—
List 6 words (or phrases) that mean “not equal to” without using the word “not”:
Is less than
Is less than or equal to
At most
Is greater than
Is greater than or equal to
At least
—
Words (or phrases) that mean “not equal to”:
“Not less than” … means >
“Not less than or equal to” … means >
“Not greater than” … means <
“Not greater than or equal to” … means <
I couldn't do the greater than or less than arrows with the lines underneath them on my keyboard, however I did understood the lesson.
All three of us need help with the course work 1.6 part 2, by the way.
What is the difference between rational and irrational numbers?
Rational numbers are predictable. Irrational numbers are unpredictable.
Why does it matter whether the “x” is first in the translation of 8 less than a number is 24?
Because since X represents a number, swapping the two numbers would change the problem, and therefore the answer. You couldn’t, for example, change 8 – 9 to 9 – 8 without changing the answer.
Q) What is the difference between a rational and irrational number?
A) Rational numbers are predictable. Irrational numbers are unpredictable.
What’s the difference between a rational and irrational number?
Rational numbers are predictable, irrational numbers are unpredictable!
Why does it matter whether the “x” is first in the translation of 8 less than a number is 24?
Because we don’t know what X is, the X may be bigger than 8 itself, so say that X is 12, you can’t do 8-12 (well, you could but it would be negative) so the x has to go first. Then it would be 12-8
Q) If a binomial is a polynomial, then is a polynomial a binomial?
A) Sometimes, because a binomial is always a polynomial, but a polynomial is not always a binomial because it could also be a monomial or a trinomial.
If a binomial is a polynomial, then is a polynomial a binomial?
Sometimes. A binomial is always a polynomial, because it has terms. But a polynomial could have more than two terms.
Q In the equation -2x + 8 = -14, what is happening to the variable?
A It is being multiplied by negative 2
Q Why do you do the order of operations backward when solving an equation?
A To undo what is being done to the variable
In the equation -2x + 8 = -14, what is happening to the variable?
It’s being multiplied by -2.
Why do you do the order of operations backward when solving an equation?
To undo what’s being done to the variable.
Part 1 : it is being times by -2 and added by 8
Part 2 : to undo what is being done to the variable
Test for divisibility
Number doing dividing:
27
Test:
The number is divisible by 9 and 3.
Example:
63 -> 6+3=9, which is divisible by 3 and 9.
Am I doing this right?
What is a Y intercept?
Where a line crosses the y-axis and X = 0
What is an X intercept?
Where a line crosses the x-axis and Y = 0
Why is math a language?
the definition of math is the systematic means of communicating by the use of sounds or conventional symbols. Math is a “system” of “communicating” by either saying the question (sound) or looking and figuring the symbols (conventional symbols)
Why is math language like dog language?
Because if you are talking to a dog, all they hear are the words that really matter like: “skipper, park and go?” All the other words just sound like “blah blah blah.” So in math we have to find the words or symbols that really matter.
Why is math a language?
A systematic means of communating by the use of sounds or conventional symbols. Just like in dog language, in math language only certain words have any meaning at all.
Why is math like dog language?
By knowing what words actually mean something in math, you can speak the language
How is the math superstar doing these days?
Why is math a language?
Math is a language because it uses symbols and sound to comunicate.
Why is math language like dog language?
The langauge of math is like that of a dog because only parts of it has meaning while most of it does’nt mean anthying at all.
1)What is an operation?
An operation is an action procedure which produces something.
2)Define Addition:
Addition is to count things that are the same.
3)Why can’t 1/4+2/5 be added?
They can’t be added becouse they are not the same things. They are not the same things becouse the bottom number is not the same.
4)Why can 1/5+2/5 be added?
These numbers can bee added becouse they are the samething.they are the same thing becouse the bottom numbers are the same.
12 words that mean addition.
1)add 5)positive 9)acscend
2)more 6)bigger 10)deposite
3)total 7)grow 11)increase
4)plus 8)up 12)greater
Alright Kyle…
Looking great
I am hoping this method of learning will make a huge difference for you!
Mr. D
1.) Why is math a language?
Because it uses a systematic form of communication using sounds and symbols.
2.) Why is math language like dog language?
The English language has a lot of words that are not used in both Math Language and Dog Language. These extra words are filtered out in both Math and Dog Languages.
Your job is to figure out which words are important and which are not…
Mr. D
I wonder how a dog knows which English words to filter out? Do grunts count?
That is one of the funniest things I have heard all day! I think it depends on what kind of treats the dog is getting for learning a new word.
1.) What ihttp://mrdmath.wordpress.com/algebra-i-course-work/#comment-341s an operation in math?
It is an action or procedure that produces an answer.
2.) Define: Addition
To count things that are the same.
3.) Why you can’t count 1/4 + 2/5?
You can’t count them because, by definition, the denominator is NOT the same! They need to be the same or else you can’t add them.
4.) Why can you add 1/5 + 2/5?
Because the denominators are the SAME! Therefore you can add them.
5.) List 12 words that mean add
(1) grow (2) increase (3) numerate (4) plus (5) greater (6) sum (7) positive (8) total (9) count (10) tally (11) ascend (12) append
Hi Ryan
Game on!
What is your favorite addition word?
Mr. D
Append. It sounds neat. But, then again, so does Numerate.
Love it…Append is a cool word!
en.wikipedia.org/wiki/Append says:
In general, to append is to join or add on to the end of something. For example, an appendix is a section appended (added to the end) of a document.
1.) Why is math a language?
A.) Math is a language because it is a Systematic way to communicate by the use of sounds or conventional symbols.
2.) Why is math language like dog language?
A.) Because like dog language, we only need to know the important things in
math and we don’t need the details like there were 4 small notebooks with green and white
stripes. All we need to know is that there were 4 notebooks.
You are funny!
What are your dogs favorite words?
Mr. D
Ummm…. Want to go for a ride? Want a treat? Want to go outside? They jump all around for those and their head tilts haha
Does it matter?
1) Why is math a language? Math is a language because it is a system that requiers communication, and it uses symbols.
2) Why is math language like dog language? Math language is like dog language because in dog language only certain words have meaning and in math laguage only some words have meaning.
It is just as simple as that. Glad you found your way to the posting area!
Have a great week
Mr. D
1. Math is a language because it is a means of communicating by sounds or conventional symbols.
2.Math is like dog language because only certain words have meaning at all.
Excellent…you are now a blogger and Algebraic Thinker!
Mr. D
Q) Why is math a language?
A) A language has:
A systematic means of communicating by the use of sounds or conventional symbols.
Math has:
A systematic means of communicating by the use of conventional symbols.
So that means Math is a language.
Q) Why is math like a dog language?
A) Some words have meaning and some words are just Blah Blah Blah.
For example:
You ask Skipper the dog:
“Skipper, do you want to go to the park?”
and Skipper hears:
“Skipper blah blah blah blah go blah blah park?”
He only hears the important words: Skipper (his name) go (the verb) and park (the
noun). We do the exact same thing in math. We sort out the important stuff from the
unimportant stuff.
This is excellent Sophie!
Great thinking!
Mr. D
3)What is an operation in math? An action or procedure which produces something.
4) Define: Addition. Addition is counting things that are the same.
5) Why can you not count 1/4+ 2/5? You can not count these because they have no common denominator.
6) Why can you count 1/5+ 2/5? You can count these because they have a common denominator.
7) List 12 words that mean add? Twelve words that mean add are, add, plus, more, total, greater, bigger, grow , up, positive, ascend, deposit, and decrease.
If I asked what an operation is, could you say without looking?
If yes, you are getting the magic of posting your work…
1. Why is math a language? Math is a language because it conveys information to a predetermined conclusion.
2. Why is math language like dog language? math language is like dog language because there are things in language that matter and things that do not matter or do not have any meaning at all, same as dog language.
Michael B.
Wow…
I love you put this into your own words Michael
Great thinking!
Mr. D
Alex
Math is a language because it uses symbols and sounds to communicate.
Math is like dog language because in math there is important things then there is nonsense (lots of blah).
dose computer code count as a language?
sorry forgot conventional sounds and symbols
Hi Alex,
You are right on the mark.
As for computer code, like HTML, there is definitely conventional symbols and a system that allow others to communicate, so I would say yes!
Mr. D
Conner.
math is a language because we use conventional symbols and and we communicate with it.
math language is like a dog language because we only her some of the words said to us
Hi Conner
Funny thing about what we hear and what we listen to. I think a good way to say it is we hear everything and only listen to some of it. Like the dog, it hears everything but only listens for the words that mean something.
Our year together will be about practicing what to listen for!
Mr. D
8) What is an operation in math? An operaton in math is a procedure that produces something.
9) Define: Addition. Addtion is the counting of things that are similar.
10) List 6 words that mean add? Six words that mean add are, greater, ascend, bigger, more, total, and positive.
11) Addition and subtraction are inverse operations!
12) An inverse means the opposite of.
13) Counting from left to right now becomes counting from right to left.
14) Define: Subtraction.
1) Finding out the distance between things.
2) TO TAKE FROM something that is there.
15) List ten words that mean subtraction. Ten things that mean subtraction are, subtract, minus, less, negative, descen, take away, down, smaller, withdraw, and decrease.
Love the smiley face!
Soon we will be taking these words and translating them into math equations. Thanks for doing the work to get ready to do just that!
Mr. D
1. Why is math a langugae?
The definition of a language is:
A systematic means of communicating by the use of sounds and conventional symbols. Math is systematic, a means of communication, and it uses sounds and conventional symbols.
2. Why is math language like dog language?
Math language and dog languge is like eachother, because blah dogs blah blah key words, math blah blah blah selective wording.
Hi Adi Awesomeperson!
The smiley face is communicating too I see!
you are doing great!
Mr. D
Love the name!
You are right on the mark with your answers!
Keep up the great work.
Mr. D
Math is a language because it is a systematic means of communicating by the use of sounds or conventional symbols.
Math language is like a dog language because only certain words matter to us to answer a question. If a dog hears a phrase, only certain words matter to it, the rest means nothing. In the phrase, “Skipper, today we are going to the park, are you ready to go?”, the only words that matter to Skipper are Skipper, park, and go.
Hi Sean,
Pretty simple! Math is going to be just like that for you!
Great job
Mr. D
Just like the English language, math uses the systematic means of communicating by the use of sounds or conventional symbols.
In dog language, a dog only hears certain words. It is the same in math language because only certain words are of importance. The rest of the words are not needed to solve the problem.
Hi Alessandra!
You will be able to see the words in math that are needed and the pones that are not this year!
Thanks for taking this on!
Mr. D
An operation is an action or procedure which produces something.
Addition: To count things that are the same.
1/5+2/5: you can count these because they are the same.
1/4+2/5: you cannot count these because they are not the same.
12 words that mean add: add plus more total greater bigger grow up positive ascend deposit increase
Hi Caleb,
Watch as the words you are defining will start to show up when you are talking…you will be amazed!
Mr. D
subtraction: 1) a way to find out how far it is between things.
2) to take from something that is already there.
words that mean subtract: subtract minus less negative descend take away down smaller withdraw decrease
The first definition will become the one you like using the most!
Have a nice weekend!
Mr. D
1.) Math is a language because it is a way of communicating by the use of sound or symbols
2.) Math languange is like a Dog language because only some words have any meaning at all
Hi Holt
It’s just that easy!
Have a great weekend!
Mr. D
Why is math a language?
Math is a language because it is a systematic way of communicating by the use of sound or conventional symbols. This is a definition of a language.
Why is math language like dog language?
In math language you only take whats important and useful, just like in dog language. for example if you say to a dog “Rex, lets go outside and play fetch” A dog will only pay attention to words such as “play” “fetch” “outside”.
Hi Avery
You got it Avery. I like that you are using your own ideas too!
Mr. D
1.) A Operation is an action or procedure that produces something.
2.) The definition of Adding is to count (add) things that are the same
3.) (1/4+2/5) I cannot add them because they are the same
4.) Add, Plus, More, Total, Bigger, Greater, Grow, Positive, Up, Increase, Deposit, Ascend
Agreed!
Holton is Awesome!
You are rocking
Mr. D
1.) The definition of Subtraction is 1- A way to find out how far it is between things, 2-to take away from something that is already there.
2.) Words that mean Subtract- Decrease, Negative,Down,Smaller,Descend,Withdraw,Take away,Minus,Less
As you can see, learning a new language is as simple as figuring out what words mean what. A clue from addition gives you subtraction.
Mr. D
A Operation is an action or procedure that produces something.
2.) The definition of Adding is to count (add) things that are the same
3.) (1/4+2/5) I cannot add them because they are the same
4.) Add, Plus, More, Total, Bigger, Greater, Grow, Positive, Up, Increase, Deposit, Ascend (Multiply?)
Hi Avery
Multiply is a form of adding, it is when we are counting by more than one at a time! that is section 1.4!
Mr. D
The definition of Subtraction is 1- a way to find out how far it is between things, 2-to take away from something that is already there.
2.) Words that mean Subtract- Decrease, Negative,Down,Smaller,Descend,Withdraw,Take away,Less,Minus
Excellent!
You are on a roll!
Have a great weekend.
Mr. D
Why is math a language?
Math is a language because it is a system in which you communicate with sounds and conventional symbols, just like any other language, such as English and Spanish.
Why is math a language like dog language?
Math is a language like dog language because in math we only hear what is necessary, like Skipper the dog heard only, “Skipper, park, and go.”
Hi Anna
You got it!
Mr. D
1) What is an operation in math? An Operation in math is a procedure that produces something.
2) Define: Adittion. Addition is the counting off things that are similar.
3) List 6 words that mean add? Six words that mean add are up, deposit, increase, total, more, and grow.
4) Addition and subtraction are inverse operations.
An inverse the opposite of.
Counting from left to right now becomes coumting from right to left.
5) Define: Subtraction.
1. Finding out the distance between things.
2. To take from something that is there.
6) List 6 words that mean subtract. Six words that mean subtract are subtract, minus, less, negative, down, and descend.
7)Define: Multiplication. Multiplication is the counting of something more than once at a time.
8) List 5 words that mean multiply. Five words that meann multiply are multiply, times, by, product, and of.
Hi Gabriel!
Game on…you are rocking it!
Mr. D
1) “less than” it is smaller than or equal to something but “is less than” means that it is smaller than something.
2) The car sales man said the BMW was at most $46,000.
3) The cop said to the driver “your ticket is at least $500.”
Alright Kyleb the man!
I love the examples…
on the “less than”
less than means subtract
is less than means that something is smaller than something else
Mr. D
1) What is an operation in math? An operation in math is a procedure that produces something.
2) Define: Addition. Addition is the counting of things that are similar.
3) List four words that mean add. Four words that mean add are plus, more, total, and greater.
4) Addition and subtraction are inverse operations.
5) An inverse means the opposite of.
6) Counting from left to right now becomes counting from right to left.
7) Define: Subtraction.
1. Finding out the distance between things.
2. To take from something that is there.
8) List 4 words that mean subtraction. Four words that mean subtraction are minus, decrease, withdraw, and smaller.
9) Define: multiplication. Multiplication is the counting of something more than once at a time.
10) List 5 words that mean multiply. Five words that mean multiply are of, product, by, times, and multiply.
11) Mulitiply and divide are inverse operations.
12) If 18/2=9 then 18*1/2=9.
13) If 50/2=25 then 50*1/2=25.
14) Define: Division. Division is when you classify things into like groups.
15) List 6 words that mean division. Six words that mean division are divide, cut, seperate, ratio, quotient, and per.
16) Define: Percent. Percent means to divide by 100.
Alright Gabriel!
Are you able to start saying the definitions without looking yet?
Mr. D
1. Don’t know please help?
2. 2 is less then 6.
3. 5 is greater then 3
Hi Alex
on the “less than” question
less than means subtract…
5 less than 7 is 2
is less than means that something is smaller than something else…
5 < 7
Mr. D
Thank you! =D
1) What is an operation in math? Aoperation in math is a procedure that produces something.
2) Define: addition. Addition is the counting of things that are similar.
3) List 4 words that mean add. Four words hat mean add are add, bigger, grow, up, positive.
4) Addition and subtraction are inverse operations.
5) An inverse means the opposite of.
6) Counting from left to right now becomes counting from right to left.
7) Define: subtraction.
1. Finding the distance between things.
2. To take from something that is there.
8) List 4 words that mean subtract. Four words that mean subtract are minus, withdraw, less, and negative.
9) Define: multiplication. Multiplacation is the counting of something more than once at a time.
10) List 5 words that mean multiply. Five words that mean multiply are product, multiply, times, by, and of.
Alright Gabriel!
You now can say you speak 2 languages!
Mr. D
11) Define: division. Division is when you classify things into like groups.
12) List 6 words that mean divide. Six words that mean divide are divide, cut, seperate, ratio, quotient, and per.
13) Define: percent. Percent means to divide by 100.
14) List 5 words that mean equal to. Five words that mean equal to are equal, the same as, equivalent, is, and congruent.
15) What about things being equal in time?
1. Is- Happening now
2. Was- Happening before
3. Will be- Happening in the future
16) In math, what are the only 3 ways numbers are related?
1. numbers are equal.
2. It is greater than.
3. It is less than.
17) List 6 words or phrases that mean not equal to without using the word not. The answers to this question are is less than, is less than or equal to, at most, is greater than, is greater than or equal to, and at least.
18) Not less than means >.
19) Not less than or equal to means _>.
20) Not greater than means <.
21) Not greater than or equal to means _<.
18) Not less than means >.
19) Not less than or equal to means _>.
20) Not greater than means <.
21) Not greater than or equal to means _ (is greater than or equal to)
19) – means > (is greater than)
20) – means _< (is less than or equal to)
21) – means < (is less than)
The difference in meaning between less than and is less than is that less than means subtracting and is less than means the number is smaller. 2 less than 3 is 1, while if 2 is less than 3, that is just stating that 2 is smaller than 3.
The man at the cash register told the child, “I can give you a 20 percent discount at most. however, I can at least give you a 10 percent discount.”
Nice work Sean…
Take the 20%!
Excellent work!
Mr. D
1) What is the difference in the meaning between “less than” and “is less than”? The difference is that less than is only less than something and is less than can be less than or equal to something
2) Write a sentence that uses the words at most meaning is less than or equal to. Mom I need at most $10 in order to buy this toy.
3) Write a sentence that uses the words at least meaning is greater than or equal to. Dad I need at least 1 more hour on the computer.
on the “less than” question
less than means subtract…
5 less than 7 is 2
is less than means that something is smaller than something else…
5 < 7
Mr. D
1.) Multiplication, Multiplication is the counting of something more than once at a time
2.) 5 Words that mean multiply= Multiply,Times,By,Product,Of
3.) Multiply and Divide are Inverse Operations
4.) If 18 / 2 =9 then 18 x 1/2 = 9
5.) If 50 / 2 =25 then 50 x 1/2 equals 25
Hola Mr. Amazing!
Excellent!
Have a great weekend
Mr. D
WHat is an operation in math? An operation is a procedure that produces something.
Define: Addition: To count things that are the same.
List 6 words that mean add: increase, grow, gain, incremental, greater, sum.
Addition and Subtraction are _inverse________ operations.
An inverse means the opposite of.
Counting from left to right now becomes counting from right to left.
Define subtraction: It is the inverse of addition. subtraction is the action of taking away or decreasing.
6 Words that mean subtract are: Decrease, minus, withdraw, less, negative, lower.
Define Multiplication: To increase in number greatly or in multiples.
Multiply: times, by, product, of, multiplication.
Hi Avery!
Yes yes and yes!
Nice work…
Have a great weekend!
Mr. D
Thanks, you too!
1.) Define Devision, To separate things into equal groups.
2.) Words that mean divide= Cut, Ratio, Divide, Separate, Quotient,Per
3.) Percent means= Dividing using a prefix of 100.
Percent is one of my favorite words!
Multiply and Devide are inverse operations.
If 18 / 2 = 9
then
18 x _1/2__ = 9
If 50 / _2__ = 25
then
50 x 1/2 = 25
Division: To separate into different groups.
Divide: Quotient, per, cut, separate, ratio, division.
Percent: per means divide. Cent is a prefix for 100. So percent means 1 part in every hundred.
5 Words that mean equal to are: The same as, equal, equivalent, congruent, is.
What about things being equal in time? Is – Happening now, Was – Happening before, Will be – Happening in the future.
In Math there are only 3 ways numbers are related. = equal to, greater than and less than.
6 Words that mean not equal without the word “not” in them are: is less than, is less than or equal to, at most, is greater than, is greater than or equal to, and at least.
Not less than = >_
Not Less Than or Equal to = >
Not greater than = <_
Not Greater Than or Equal to = <
1Q) What is the difference in meaning between “less than” and “is less than”?
1A) Less than is only less than something but is less than can be less than or equal to something.
2) Write a sentence that uses “at most”:
“You can only watch TV for a half an hour at most.”
3) Write a sentence that uses “at least”:
“I need at least $15.00 to get this book”.
Hi Sophie,
on the “less than” question
less than means subtract…
5 less than 7 is 2
is less than means that something is smaller than something else…
5 < 7
Mr. D
1) What is the difference in meaning between “less than” and “is less than”? Less than means subtracting and is less than means the number is smaller.
2) Write a sentence that uses the words at most meaning is less than or equal to. Billy says to the Cashier ” At most I have to give you is $5 for two rolls of duct tape.”
3) Write a sentence that uses the words at least meaning is greater than or equal to. Joey says ” Mom can I have at least $50 for a new pair of cleats?”
Love your answers!!!!!!
Hey Mr. D, in video 1.6 it says to use a >, _, <_, and etc for all those words. Do you want us to do that and bring it in on Monday?
Hi Avery,
no, that you are looking in the notes to check is what is most important. We will review Monday as well.
thanks for asking!
Mr. D
1) Why is math a language?
It is a systematic way of communicating, using sounds and symbols.
2) Why is math language like dog language?
Because there are only certain words that you have to understand in math.
Caleb A.
Hi Caleb,
Looking great!
Welcome to Mr. D Math!
1. What is the difference in the meaning between “less than” and “is less than?” “Less than” means subtracting and “is less than” means the number is smaller.
2. Write a sentence that uses the words at most meaning is less than or equal to:
I said to mom at most I have to give you two dollars for the snack you bought for me
3. Write a sentence that uses the words “at least” meaning is greater than or equal to:
I said to my dad, “Dad, may I have at least twenty dollars back for some socks?”
Michael S
Excellent work Michael!
Mr. D
1) What is an operation? (in math)
An action or procedure which produces something.
2) Define: Addition
To count things that are the same.
3) List 12 words that mean add:
plus, more, total, greater, bigger, grow, up, positive, ascend, deposit, increase, SUM
4) Why can you count these? one fifth plus two fifths
Because they have the same denominator.
5) Why can you not count these? one fourth plus two fifths
Because they do not have the same denominator.
Caleb A.
Perfect answers!
Mr. D
1). What is an operation in math?
An operation in math is a process or procedure that produces something
2). Define: Addition
To count things that are the same.
3). List 6 words that mean Add:
More, Sum, Greater, Grow, Increase, Numerate, Append, Supply, Contribute, Tally, Calculate, Compute.
4). Addition and Subraction are Inverse operations
Inverse means the Oposite of.
5). Counting from left to right now becomes counting from right to left.
6). Define: Subtraction
Decrease or take away
7). List 6 words that mean subtract:
Deduct, Take off, Reduce, Cut, Bring Down, Diffrence
8). Define: Multiplication
To count things more that one at a time.
9). List 5 words that mean Multiply:
Procreate, Product, Manifold, By, Of
Sorry to get this posted late.
Hi Ryan
No worries!
it all looks great!
Mr. D
1). What is an operation in Math?
An operation in math is an action or procedure that produces something.
2). Define: Addition
To count the things that are the same
3). List 4 words that mean Add:
Sum, Append, Supply, Compute
4). Addition and Subtraction are Inverse Operations
5). Inverse means the Opposite of.
6). Counting from Left to Right now becomes counting from right to Left.
7). Define: Subtraction
Take away or Decrease
8). List 4 words that mean Subtract:
Diffrence, Cut, Deduct, Take off.
9). Define Multiplication:
To count things more that one at a time.
10), List 5 words that mean Multiply:
Procreate, Product, Manifold, By, Of
11). Multiply and Divide are Inverse operations.
12). If 18/2 = 9 Then 18 x 1/2=9
13). If 50/2=25 Then 50 x 1/2 =25
14). Define: Division
To separate things into equal groups
15). List 6 words that mean Divide:
Split, Separate, Dissever, Move, Quotient, Carve up
16). Define: Percent
Used to express a proportion of an amount in hundredths.
I like percent…it’s simple
It means divide by 100
Mr. D
1). List 5 words that mean Equal To:
Adequate, Capable, Equal, Equivilant, Congruent
2). Is- Equal now
Was- It was equal (And still is)
Will be- It is going to be equal (It already is and will still be)
3).In Math what are the only 3 ways numbers are related?
1. Less than each other
2 Equal to each other
3 Greater than each other
4). Not less than= >
Not Less than or Equal to=> with line underneath (sorry couldn’t figure out how to put the line underneath it)
Not Greater Than=<
Not Greater Than or Equal to=< With line underneath.
Adequate and capable
Those are new for me…
I like them!
Mr. D
1). What is the Difference in meaning between “Less than” and “Is less than”?
Less than means subtract. Is less than means the number is smaller
2). Write a sentence that uses the words at most meaning is less that or equal to.
The cashier said to the costumer “At most you owe me is $30.”
3). Write a sentence that uses the words at least meaning is greater than or equal to
The Mechanic said to the customer “You owe me at least $25,000.”
Perfect!!!!!
Mr. D
1.) 5 words that mean Equal to- Equal,The same, Equivelent,Congruent,Is
2.)Is= Equal Now
Was= Happening Before
It was=Happening in the future
3.)In Math the the only 3 ways numbers are related are:
1. Equal to each other
2. Greater than each other
3.The same as(AKA Equal) each other
4.)
1.Not less than= >
2. Not Less than or Equal to=>(With line)
3.Not Greater Than=<
4.Not Greater Than or Equal to=<
5.)What is the Difference in meaning between “Less than” and “Is less than”?
Less than means subtract. Is less than means the number is smaller
6.)Write a sentence that uses the words at most meaning is less that or equal to.
The Kid said to his Dad "You owe me at at most 10.00 more because I washed the dogs"
7.)Write a sentence that uses the words at least meaning is greater than or equal to
The Lawyer said to his client " I need at least 800.00$
Hello Mr. Amazing…
Lawyer talk – I like it!
A great career choice!
Mr. D
1) What is an operation? (in math)
An action or procedure which produces something.
2) Define Addition:
To count things that are the same.
3) List six words that mean add:
Plus, grow, greater, positive, increase, and…SUM!!!!!!!
4) Addition and Subtraction are INVERSE operations.
An inverse means the OPPOSITE of.
Counting from left to RIGHT becomes counting from right to LEFT.
5) Define Subtraction: 1)A way to find out how far it is between things (or distance).
2)To take from something that is already there.
6) List ten words that mean subtract: Minus, less, negative, withdraw, descend, decrease, take away, down, smaller, and…DIFFERENCE!!!!!!!
Looking great Caleb!
Mr. D
1- Why is math a language?
Math is a language because it is a systematic way of communicating by the use of sound or conventional symbols. Just like any language.
2- Why is math language like dog language?
Math language is like dog language because you only have to know certain words or things about math language to know the important things that need to be communicated.
Hi Marissa
Welcome to Mr. D Math!
This will be fun!
1) What is an operation in Math?
It is an action or procedure which produces something.
2) Define: Addition
Addition is to count things that are the same.
3) List 12 words that mean add: Plus, More, Total, Greater, Bigger, Grow, Up, Positive, Ascend, Deposit, Increase, Count.
Soon the words will be a part of your speaking!
Get ready
Mr. D
Hello
1.An Action or Procedure that produces something.
2.To count things that are the same.
3.1.plus 2.up 3.big 4. increase 5.sum 6.deposit
4. 1. inverse 2. opisat 3. right 4. left.
5.To take away from something that is already there.
6. To find the distance between something.
7. 1.minus 2. down 3. small 4. decrees 5.withdraw 6. ???
8. to count things more than 1 at a time.
9. 1. Multiply 2. times 3. by 4. product. 5. of
thanks see you wensday!
Go Alex!
1) What is the difference in the meaning between “less than” and “is less than”?
Well “less than” means to take away from something. While “is less than” means a smaller number.
2) Write a sentence that uses the words “at least” meaning “is less than” or “equal to”.
“I need at the most $25 to go to the basketball game.”
3) Write a sentence that uses the words “at least” meaning “is greater than” or “equal to”.
“Mom, I need at least one tire for my new bike.”
Hi Laura!
Looking great!
Mr. D
conner.
less than means equal or less than, is less than means its less than.
at most i will give you 3 dogs.
i will give you at least 10 dollers.
Hi Connor
on the “less than” question
less than means subtract…
5 less than 7 is 2
is less than means that something is smaller than something else…
5 < 7
Mr. D
1) What is an operation (in math)
An action or procedure which produces something.
2) Define Addition:
To count things that are the same.
3) List six words that mean add:
Plus, grow, positive, increase, greater, and…SUM!!!!!!
4) Addition and Subtraction are INVERSE operations.
An inverse means the OPPOSITE of.
Counting from left to RIGHT becomes counting from right to LEFT.
5) Define Subtraction: 1)A way to find out how far it is between things (or distance)
2)To take from something that is already there.
6) List six words that mean subtract: Minus, less, negative, withdraw, down, and…DIFFERENCE!!!!!!
7) Define Multiplication: To count things by more than one at a time.
8) list five words that mean multiply: Multiply, times, by, of, and…PRODUCT!!!!!!
Are you noticing the words are starting to make more sense to you?
Mr. D
1) Less than is used more for subraction problems. Example, 5 less than 20 is 15. Is less than makes a statement. For Example, 5 is less than 20.
2)I will give you $20 at most to go to the mall.
3)”The teacher will give us at least 3 candies each if were good in class,”says Jessica.
Perfecto Alessandra!
Mr. D
My All That Work For Nothing Problem
[3(3to the third power - 4to the second power - 20/2)] – [3(5 + 6 - 10)]
[3(27 - 16 - 10)] – [3(5 + 6 - 10)]
[3(1)] – [3(11 - 10)]
3 – 3
0
What!?! I just did all that work for nothing?
Laura! This is so awesome…great job!
An operation is an action or procedure that produces something – a result.
Addition is to count things that are the same. 4 words – bigger, up, plus, more.
Addition and subtraction are INVERSE operations. Inverse means the OPPOSITE of.
RIGHT
LEFT
Subtraction is to take away from something that is already there. The distance between things. 4 words – less, down, minus, withdraw, smaller
Multiplications is to count things more than one at a time. 5 words – of, multiply, by, times, product.
INVERSE
18 x 1/2 = 9
50/2 = 25
Division is to separate things into equal groups. 6 words – cut, divide, quotient, per, ratio,
and seperate.
That’s it!
Per cent is to divide by 100. Per is to divide, cent is 100.
I love the word percent!
Mr. D
1) What is the difference in meaning between “less than” and “is less than”?
Is less than means the answer is less than, but less than just means any number can be less than.
2) Write a sentence that uses the words at most meaning is less than or equal to.
Bob’s father told Bob that he would give him at most $5,000 to spend on his first car.
3) Write a sentence that uses the words at least meaning is greater than or equal to
Bob then told his father that he would need at least $10,000 for his first car.
Hi Anna
on the “less than” question
less than means subtract…
5 less than 7 is 2
is less than means that something is smaller than something else…
5 < 7
Mr. D
happy bday mr. d!!!
Thank you! I had a delightful birthday!
Mr. D
2 ( 6 x 2 2nd power /2 ) -2 (6 x 2 2nd power / 2)
2 (12 ) -2 (12)
24 -24
0
Very nice work!
Interesting idea.
Anything – itself is 0
Mr. D
2 ( 6 x 2 2nd power /2 ) -2 (6 x 2 2nd power / 2)
2 ( 6 x 4 / 2 = 12 )
2 x 12 -2 x 12
24 -24
0
^sorry forgot
3[4 x 3(2nd power /2) – 3[4 x 3(2nd power) /2)
3[4 x 6) – 3[4 x 6)
3[24) – 3[24)
76 – 76
0!
I FEEL SMARTER!
How fun is that! Come on Smarter Awesome Man!
Mr. D
Hi Mr. D!!
Here’s my all that work for nothing problem!
((5(2-10)/2)-20)
Should I make one longer or is this
fine?
-Bethany E.
HI There…
Did you work this out to see if it = 0?
Check and see. I got something other than 0.
Mr. D
I worked it out and I got 0.. I must be doing something wrong
((5(2-10)/2)-20)
((5(8)/2)-20)
((5(4)-20)
20-20
0
2-10 equals negative 8 not positive 8
Oh! Ok. Thank you Jonathan!
So does that mean I should switch my 10 and 2 around so that
it will come out to 0?
Define: Subtraction
1) A way to discover how far it is between things. (distance)
2) To take from something that is already there.
Words that mean subtract:
Minus, Less, Take away, Down, Subtract, Negative, Smaller, Withdraw, Decrease, Descend, and Difference.
Addition and Subtraction are inverse operations! An Inverse means the opposite of.
Define Multiplication:
To count things by more then one at a time.
List 5 Words that mean multiply:
Multiply, times, By, And Product.
Multiply and Divide are also inverse operations.
Define: Division
To separate things into equal groups.
*A remainder is what is left over if it doesn’t fit into one of the equal groups.
Words that mean divide:
Cut, Divide, Separate, Ratio, and Quotient. Percent!
Hi Marissa
Yes…looking great.
Are the words becoming a part of your thinking yet?
Mr. D
Why Is math a language? The definition of the word language says that a language is a systematic means of communicating, by using sounds or symbols. Math is systematic, a ways of communicating, and has symbols and sounds.
Why is math language like dog language? In math, there will be terms that mean nothing, or are not usefull, just like when talking to a dog they only hear specific things.
Hi Sierra
Welcome to Mr. D Math!
You are right on track…
Mr. D
In the equation 8 less than a number equals 24, the x must come first because if it said 8 less than your age, you would write the equation as your age – 8, not the other way around. Besides, if you make it 8 – x, you’ll get the wrong answer.
Alright Sean
Have a great trip!
Sorry, I tried to post this before but my computer wouldn’t let me.
The difference between Rational and Irrational numbers:
Rational means predictable while Irrational means unpredictable.
Silly computer!
you got it!
1) What is the difference in meaning between “less than” and “is less than”?
“Less than” means to take away from something. But “is less than” means a smaller number.
2) “I’m looking for a fun toy for my dog, that’s inexpensive and lasts long. However, I will pay at most $10 for one.”
3) “I am making my famous Fettuccine Alfredo for a family reunion coming up. And I need to make a serving for at least 21 people.”
Excellent Marissa
How are you liking the course so far?
Mr. D
I’m loving it Mr. D
Thanks!
Again, sorry, I tried to post this comment before but my computer wouldn’t let me.
My All That Work for Nothing problem:
25+5[(3+5-2^2)/2*2]-[2^2+2^4+(10*2)+5]
Excellent!
conner.
2(10+5)+30/10-6 = 0
Hi Connor,
This doesn’t come to 0
try again please!
2(10+5)+30/10-6 = 0
2(15) + 3 – 6
30 + 3 – 6
33 – 6
27
2(24-6/2x2x4)-(25-5/5x5x2^3-1)
2(24-6/2x2x4)-(25-5/5x5x2^3-1)
2(24 – 3 x 2 x 4) – (25 – 1 x 5 x 8 – 1)
2(24 – 24) – (25 – 40 – 1)
2(0) – (-15 -1)
0 – (-16)
16
try again!
have fun!
Mr. D
Hey Mr. D
Here is my work from section 1.6 that I didn’t get finished!
1.) What is the difference in meaning between “less than” and “is less than”?
A.) Is less than means to subtract and less than means at most.
2.) Write a sentence that uses the words at most meaning is less than or equal to.
A.) I need $50.00 at the most to ride on the “Sheikra”.
3.) Write a sentence that uses the words at least meaning is greater than or equal to.
A.) My dog needs at least 2 shots at the vet.
-Bethany E.
Hi!
on the “less than” question
less than means subtract…
5 less than 7 is 2
is less than means that something is smaller than something else…
5 < 7
Mr. D
Yeah
All that Work for Nothing
(2(6+20/10)-(2^2+4^2)/4) – [(6x2/2^2)(2^3-2x2)+(7-2)+10)]
Hi Marissa!
Here is what I got
(2(6+2)-(4+16)/4) – [(6*2/4)(8-4)+(5) +10]
(2(8) – 20/4) – ((12/4)(4) + 5 +10)
(16 – 5) – ((48)(4) + 5 +10)
11 – (192 + 5+10)
11 – (207)
-194
not quite 0…
See if you can get this to = 0
Mr. D
Hi Mr. D! Here is my corrected all that work for nothing problem!
((5(10-2)/2)-20)
-Bethany E.
((5(8)/2) – 20)
(40/2 – 20)
20 – 20
0
that works!
Mr. D
The x has to come after the 8 becouse it would make a negative number and then the answer would be wrong and this would be good.
You are thinking! Very good.
8 less than a number means to take 8 away from the number or antother way to say that is the number – 8
Mr. D
What is the diffrence between a Rational Number and a Irrational Number?
A Rational Number is a number that can have the number after it be predicted correctly. Like for example 0.3 Repeating. We all know that after the 3 will come another 3 forever. Therefore 3 is a Rational number in this case.
An Irrational Number is a number that cannot have the number after it be predicted correctly. For example Pi is a Irrational Number because it keeps on going with diffrent numbers after the next.
And I have a question:
This is the course work for 2.1 Part II and I was wondering if I post the 2.1 Part I answers here the same way.
Hi Ryan,
No need to post the course for Part I
and you are doing great!
Mr. D
Hi Ryan,
No need to post the course work for Part I
and you are doing great!
Mr. D
1) What is the difference in meaning between “less than” and “is less than”? The signs you use are different.
2) Write a sentence that uses the words at most meaning is less than or equal to. I would pay $20 at most for this product.
3) Write a sentence that uses the words at least meaning is greater than or equal to. I need to earn at least $100 for my Disney trip.
Hi Sierra!
on the “less than” question
less than means subtract…
5 less than 7 is 2
is less than means that something is smaller than something else…
5 < 7
Mr. D
1.) What is the difference between a “rational” number and a “irrational” number?
A. A rational number is a predictable number where a irrational number is unpredictable
Example: a rational number- _
.3=.33333333
Example: a irrational number-
(pie symbol) 12.283954037453720475382301645597352822265495863042093874542378909857432235478909875423….
-Bethany E.
Hi Bethany!
Pi is spelled this way. The other pie is the kind you eat!
Great work by the way!
Mr. D
Haha! Ok.
-Bethany E.
1) Numbers began with counting numbers.
2) Counting began at the number 1
3) The counting numbers are 1,2,3,4,5,6,7,8,9,10… that means that numbers never stop
4) What is the difference between rational and irrational numbers? The difference is that rational means prdictable and irrational means unpredictable.
5) In math ratio means that you know what the next number is in a decimal or you gan write the number as a fraction of two integers.
6) 3.333333 what is next? 3
7) pie= 3.14159 what comes next? We do not know because you can not predict irrational numbers.
8) Natural numbers- positive counting numbers
9) Whole numbers- positive counting numbers and zero.
10) integers- negative/positive counting numbers and zero.
11) Rational numbers- a number that is able to be written as a fraction, a repeating, or terminating decimal.
12) To terminate means to stop. So a terminating decimal stops like 4.25.
13) 4.25 is predictable because the next number after the 5 is 0 4.250.
14) irrational numbers- all numbers that are non terminating/non repeating decimals.
15) real numbers- all numbers that are whole, natural, integers, rational, and irrational.
16) If numbers are not real then that means they must be imaginary.
17) You will learn about imaginary numbers in algebraII.
18) Imaginary numbers are not real but they do exist!
Hi Gabriel!
Ratio will mean divide…
You are doing amazing work!
Mr. D
1) The difference between irrational and rational is that rational means predictable and irrational means unpredictable.
Exactly!
Mr. D
1) What is the difference between a rational and irrational number?
Rational means predictable compared to irrational which means unpredictable.
Hi Marissa!
You go it!
Mr. D
1) What is the difference between an equation and an expression? An equation is a complete sentence and an expression is a command.
2) Equation: 4 more than 6 is 10 = 4+6=10.
3) Expression: 4 more than 6 = 4+6.
4) What is a variable? A variable is something that takes the place of a number in an equation, expression, and inequality.
5) 4 more than a number is ten. More than means add. A number means variable. Is means =.
6) 4 more than a number is 10. 4+x=10.
7) 5 more than a number is 12. 5+x=12.
8) 8 less than a number is 24. less than means subtract. A number means variable. is means =.
9) 5 less than a number is 12. x-5=12.
10) 4 less than 3 times a number is 10. 3x-4=10
11) Twice a number decreased by twelve is the same as the number increased by eight. 2x-12=x+8.
awesome work!
Looks great Gabriel
Mr. D
1) It matters whether the x is first in a problem like in 8 less than a number is 24, because if you put 8-x the answer would be negative, but if you did x-8 the answer would come out right. 8)
:/
excellent!
Mr. D
Q) What’s the difference between a rational and irrational number?
A) Rational numbers are predictable and irrational numbers are unpredictable.
You got it Sophie!
Mr. D
= ) Rational numbers are predictable and irrational numbers are unpredictable.
= ) Rational numbers are predictable and irrational numbers are not predictable (unpredictable).
oops! =)
Gotcha! Thanks for the oops and correcting it!
Mr. D
1) Numbers began with counting numbers
2) counting began at number 1
3) the counting numbers are 1,2,3,4,5,6,7,8,9,10… means they do not stop
4) rational numbers are any numbers that are a fraction or is a repeating or a terminal decimal. irrational is any number that is non terminating or non repeating decimal.
5) in math you know what the next number is in a decimal or you can write it as a fraction of two integers
6) =3
7) we cannot know the answer because a irrational number is unpredictable.
8)natural numbers are all numbers that are positive from 1-100+
9)whole numbers are 0-100+
10)integers are -5,-4-,-3,-2,-1,0,1,2,3,4,5 and etc
11)rational numbers are ny numbers that are a fraction or is a repeating or a terminal decimal.
12) to terminate a decimal means to stop. so a terminating decimal stops.
13)the next number after the 5 is 0
14)irrational numbers are numbers that are non terminating or non repeating decimal.
15) real numbers are all numbers that are whole, natural, integers, rational, and irrational.
16) if numbers are not real then they must be imaginary.
17)imaginary numbers are not real but they do exist.
Very good!
Mr. D
rational numbers are predictable while irrational numbers are unpredictable.
Yes indeed!
Mr. D
1) An equation is a complete sentence while an expression is a command.
2) equation= 4 + 6 = 10, expression= 4 + 6
3) A variable is something that takes the place of a number in a equation, expression or inequality.
4) more than means add, a number means variable and is means =
5) 4 + x = 10
6) 5 + x = 12
7) less than means subtract, a number means variable and is means =
8) X – 8 = 12
9) 3X – 4 = 10
10) 2X – 12 = X +8
You are rocking!
Mr. D
It matters where you place the X because depending on where you place it, it could end up equaling either a positive or a negative.
That is exactly what would happen!
Mr. D
A rational number is one that terminates, which means you can predict it. An Irrational number does not terminate, therefore, you can not predict what number will be next.
Hi Sierra
A rational number can also repeat which makes it predictable as well
Great thinking…
Mr. D
It matters where the X is in the translation because if it was one way, the answer would be negative, if it was the other way, the answer would be positive.
That is exactly right!
Mr. D
Math is a language because the definition of a language is a systematic means of communicating by the use of sounds and conventional symbols. Math is all that.
Math language is like dog language because only certain word matter in a sentence.
Hi Charles!
Welcome to the virtual world! Great to be working with you!
Mr. D
Thanks
What is the difference between a rational and irrational number? The difference between a rational and irrational number is that a rational number is predictable and there is always a pattern. And since a Irrational number is ” Any number that is a non terminating, non repeating decimal.” the simple difference is that rational numbers repeat and have pattarns and Irrational numbers do not repeat and have any pattern.
Great Alex!
You got it!!!!
Mr. D
1.)Numbers began with counting numbers
2.)Counting began at number 1
3.)The counting numbers are 1,2,3,4,5,6,7,8,9,10… Which means they do not stop
4.)Rational means Predictable and Irrational means Unpredictable
5.)In math Rational means that you know next number is in a decimal or you can write it as a fraction of two integers
6.)=3
7.)We cannot know the answer because a irrational number is unpredictable
8.)Natural Numbers is the positive counting numbers
9.)Whole Numbers is the positive counting numbers and zero
10.)Integers is the negative and positive counting numbers and zero
11.)Rational Numbers is any numbers that can be written as a fraction or any number that can be written as a repeating as a repeating or terminating decimal
12.)To terminate means to stop so a terminating decimal stops like 4.25
13.)The next number after the 5 is 0
14.)Irrational Numbers are any numbers that is a non terminating non repeating decimal.
15.)Real numbers are any numbers that are natural, whole, integer, rational or irrational numbers
16.)If numbers are not real then they must be Imaginary
17.)Imaginary numbers are not real but they do exist
Very good Holton!
Great work!
Mr. D
Rational numbers are Predictable while Irrational numbers are Unpredictable
Yes indeed and you are Awesome!
Mr. D
1.)An equation is a complete sentence while an expression is a command
2.)Equation-4+6=10 Expression-4+6
3.)A variable is something that takes the place of a number in equation, expression or inequality
4.)More then means add. Less then means subtract. A Number means variable and Is means = (equal)
5.) (4 + x =10) (5 + x = 12)
6.) x – 8 = 24
7.) 8 + 2x = 24
8.) 3x – 4 =10
9.) 4x – 5 = <10
10.) 2x – 12 = x + 8
Very good!
Excellent work!
Mr. D
It matters where you place the x because where you put it could change the equation to either negative or positive
That is exactly right!!!!
Mr. D
1.) Integers-The negative and positive counting numbers and zero
2.) A number line is a line with numbers on it. (No Way!) lol
3.) A negative number is the opposite of a positive number
4.) A negative of a negative number is a positive number
5.) An absolute value is any number from 0
Oh my – math is becoming fun!!!
Mr. D
1.)Why does it matter whether the x is first in the translation of 8 less than a number is 24?
A.) Because if your age was 13 and your subtracting 8-13 then that would make -5 instead of positive 5 so if you always put your age first then it will come out positive unless its actually suppost to come out negative like 5-8= -3. (age- 5 and number=8)
Very good!
Bethany you are doing great!
Mr. D
I’m soo glad I took pre-algebra last year. It’s really helping me!
-Bethany E.
I am glad you did too!
It’s always good to have an idea about what’s happening!
Mr. D
2.2
1) Why does it matter whether the ‘x’ is first in the translation of 8 less than a number is 24?
A. Because the positioning of the ‘x’ can change the answer to your problem completely, so it’s very important to keep it where it needs to be.
Right you are miss jillian!
Mr. D
Integers- The negative and positive counting numbers and zero
What is a number line?- A line with numbers on it
What is a negative number?- The opposite of a positive number
What is the negative of a negative number?- A positive number
Todays it is a not a not sunny day- It’s a sunny day
What is absolute value?- The distance of any number from zero
A bank withdrawal of $30- -30
A loss of 9 pounds- -9
A gain of 21 yards- +21
3 seconds before liftoff- -3
2 seconds after liftoff- +2
11 degrees below zero- -11
When is only time the absolute value of a number not positive?- When it is 0 which =0. Zero is not a negative or positive number!
-Bethany E.
Hi again!
Perfect answers!
Mr. D
1) Integers- negative and positive counting numbers and zero.
2) A number line is a line with numbers on it.
3) A negative number is the opposite of a positive number.
4) The negative of a negative number is a positive number.
5) Absolute value is the distance of any number from 0.
6) 16_ -2 is false. -16-10 is false. -6 <_ -6 is true. 0<-9 is false.
You are great at this Gabriel!
Excellent!
Mr. D
2.2- It matters where you put the x in an equation because by putting it in the wrong place you could make an answer that is supposed to be positive, negative, or vise versa.
Yes indeed…that is exactly what could happen!
1) Integers are the negative and positive counting numbers.
2) A number line is a line with numbers on it.
3) A negative number is the opposite of a positive number
4) A positive number
5) Absolute value is the distance of any number from 0
6) 16 -2 false, -16 -10 true, -6 _< -6, true 0 < -9 false.
7) |6||10| false, 8 -1 true, |-6|<-6 false, |18|< |-11| false.
8) a bank withdrawal of $30 = -30, a loss of 9 pounds = -9, a gain of 21 yards = 21, 3 seconds before liftoff = 3, 2 seconds after liftoff -2, 11 degrees below 0 = -11.
-11 degrees sounds very cold!!!!!
Great work
Mr. D
7) /-6/ _ /-10/ is false. 6 -1 is true. /-6/ <_ -6 is false. /-18/</-11/ is false.
8.) brank withdrawal of $30 is-$30
9) A loss of 9 pounds is -9
10) A gain of 21 punds is +21
11) 3 seconds before liftoff is -3
12) 2 seconds after liftoff is +2
13) 11 degrees below 0 is -11 degrees
8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8) 8)
Love the smileys!
You’re doing great!
Mr. D
Would you please e-mail the gradebook link to me when you get a chance Mr. D? Thanks
Hi,
It is in your mailbox as of sunday evening.
Holton’s is there too!
Mr. D
WHAT is THE difference BETWEEN a RATIONAL & irrational NUMBER?!- a RATIONAL number THE next NUMBER in A decimal CAN BE predicted. AN irrational NUMBER the NEXT number IN a decimal CAN not BE predicted.
Perfecto Patrick!
Mr. D
Rational means predictable irrational means unpredictable
Hi Nick,
That is it!
Great
Mr. D
1.
Rational — Any number that can be written as a fraction or any number that can be written as repeating or terminating decimal. Or, predictable.
Irrational — Any number that is a non-terminating, non-repeating decimal. Or, unpredictable.
2.
Because if you put the x after the 8, you would get a different answer. Instead of x – 8 = 24, you would get 8 – x = 24, causing you to come up with a totally different number for x.
(p.s. the number for x in the first equation is 32)
Hi Giselle,
Perfect answers!
Mr. D
Rational means that you know what the next number is in a decimal or can write the number as a fraction of two integers. It is predictable.
Irrational means that it is unpredictable.
Hello Alessandra!
You got it!
very good
Mr. D
(2.2)
If you put the “x” in front of the 8 the number the answer would be different. Instead of being x-8=24 it would be 8-x=24.
That could something negative that is not supposed to be!
Great work!
Mr. D
Why does it matter if the ‘x’ is in front is first in the translatino of 8 less that a number is 24?:
First you would write the problem as x-8=24. But if you put the x in a diffrent place you would get a totally diffrent answer. X in the problem equals 32 but if the problem is like this:
8-x=24 X is 32 so you would get -24=24 and we all know that, that isn’t right.
Hello my rock n roll buddy!
answers looking great!
Mr. D
Hey Mr. D!!
I was trying to put in the dates that I got all my stuff done this week in the gradebook
and each time I put in like Sept-13 it puts in all these random numbers and wont give me my grade!
-Bethany E.
hmmm.
Try putting in the date as 9-13 or spell out September.
The grade will be what you put in even if the date is not entering the way you want it to.
Mr. D
The difference between rational and irrational numbers is with a rational number, you can predicate what is coming next,
7.5_ = 0
But with an irrational number is the opposite.
√2
(answer: http://apod.nasa.gov/htmltest/gifcity/sqrt2.10mil)
nice work on the square root key…
I like it…you went to the NASA website to get that. I have a friend who works there!
Mr. D
“Why does it matter whether the “x” is first in the translation of 8 less than a number is 24?”
If you were to put it backwards, you would get a completely different answer, and we all know that the is not good in math at all.
lets say x is 80.
5 less than a number is 75
the right way:
x – 5 = 75 (80 – 5 = 75)
the wrong way:
5 – x = 75 (5 – 80 = 75!?!)
Thus putting the number (x) in the right place is important.
Excellent work Calvin!
Mr. D
What is the difference between rational and irrational numbers? Well a simple explanation would be, rational is predictable and irrational is not so its unpredictable!
Simple is good!
Do you agree?
Mr. D
Putting the (x) first is very important because if you put it in any other place you would get another assure. Example: the normal way.- x-5=25 – x= 30 so 30-5=25
And if you do it another way. Example: the wrong way: 5-x=25 so it would be 5-30=25!(-25?)
very good Alex!
Mr. D
Why does it matter whether the “x” is first in the translation of 8 less than a number is 24?
If “x” isn’t put in the right position, you’d simply get the wrong answer.
It’s that simple!
Hey Mr. D!
My gradebook isn’t working right.. It’s not giving me my grade at all when I put all my stuff in!
-Bethany E.
Hi,
Email it to me!
Email the gradebook? Should I put in all my stuff first or just leave it blank?
-Bethany E.
Why is adding integers like gains and losses?
Because when you consider adding integers on the number line, you move into positive (gains) and negative (losses)
Very good Marissa!
How is chapter 2 going for you?
Mr. D
Why is adding integers like gains and losses?
Adding integers is like gains and losses because if you add negatives plus negitive you get a negitive and you keep on losing (or going down). But If you add positives plus positive you get positive and you keep on gaining (or going up).
Alright Sophie!
Because integers on a number line can be thought of as positive (gains) AND negatives (losses)
Yes indeed!
Did you get the grade book working?
No Mr. D I never received the e-mail.
1) Adding integers is like gain and loss because when you add 2 positive numbers you gain, when you add a positive and a negative number you have a loss.
Gains and Losses! That is how business works!
1.) Why is adding integers like gains and losses?
A. Because when you add a positive and negative you have a loss because you subtract and when you add a negative and a negative you gain because you add and when you have a positive and a positive you gain because you add also. And integer numbers are negative and positive counting numbers plus zero where you can’t do that with whole or natural numbers because you don’t have negatives.
-Bethany E.
Wow…Really great!!!!!
Putting the “x” first in the equation is very important because if you don’t you will come out with a different answer. For example, you wouldn’t do 8 minus your age, you would do your age minus 8.
Exactly!
You got it
Mr. D
Hey Mr. D
I was checking my work for section 2.4 part 1 and I think I found a mistake with number 10. The question is-
-3+5+-5
So here is how I worked it out
3-5=2 (give it the sign of the bigger absolute value)
2+-5
5-2
-3 (give it the sign of the bigger absolute valute)
So I got -3 and you put down +5
I’m not sure if I maybe did something wrong though..
-Bethany E.
-3 it is!
Great
Why is adding integers like gains and losses?
Because integers can have equations such as 5 + 3 (which is a gain of three) and 5 + -3 (which is a loss of three). Natural and whole numbers can’t lose while adding while integers can.
Excellent Giselle!
Mr. D
An operation (in math):
An action or procedure which produces something.
Addition
To count things that are the same.
You can not count 1/4+ 2/5 because they don’t have the same denominator.
But you can count 1/5+2/5 because they do have the same denominator.
Words that mean add:
Add, Bigger, Ascend, Plus, Grow, Deposit, More, Up, Increase, Total, Positive, Greater, and Sum.
Alright Charles!
An operation (in math):
An action or procedure which produces something.
Addition
To count things that are the same.
Addition and Subtraction are inverse operations!An inverse means the opposite of.Counting from left to right now
becomes counting from right to left
Subtraction
A way to find out how far it is between things. (distance)
To take from something that is already there.
Words that mean subtract:
Subtract, Descend, Smaller, Minus, Take away, Withdraw, Less, Down, Decrease, Negative, and Difference.
You are going to love this way of doing algebra
Mr. D
An operation (in math):
An action or procedure which produces something.
Addition
To count things that are the same.
Addition and Subtraction are inverse operations!An inverse means the opposite of.Counting from left to right now
becomes counting from right to left
Subtraction
A way to find out how far it is between things. (distance)
To take from something that is already there.
Words that mean subtract:
Subtract, Descend, Smaller, Minus, Take away, Withdraw, Less, Down, Decrease, Negative, and Difference.
Multiplication
To count things by more than one at a time.
Words that mean multiply:
Multiply
Times
ByProduct
Of
Excellent again!
Mr. D
An operation (in math):
An action or procedure which produces something.
Addition
To count things that are the same.
Addition and Subtraction are inverse operations!An inverse means the opposite of.Counting from left to right now
becomes counting from right to left
Subtraction
A way to find out how far it is between things. (distance)
To take from something that is already there.
Words that mean subtract:
Subtract, Descend, Smaller, Minus, Take away, Withdraw, Less, Down, Decrease, Negative, and Difference.
Multiplication
To count things by more than one at a time.
Words that mean multiply:
Multiply
Times
By
Product
Of
Perfect!
Mr. D
An operation:
An action or procedure which produces something.
Addition
To count things that are the same.
Addition and Subtraction are inverse operations!An inverse means the opposite of.Counting from left to right now
becomes counting from right to left
Subtraction
A way to find out how far it is between things. (distance)
To take from something that is already there.
Words that mean subtract:
Subtract, Descend, Smaller, Minus, Take away, Withdraw, Less, Down, Decrease, Negative, and Difference.
Multiplication
To count things by more than one at a time.
Words that mean multiply:
Multiply
Times
By
Product
Of
oops, posted this twice.
No problem!
Math is a language because the definition of a language is a systematic means of communicating by the use of sounds and conventional symbols.
Math is just like dog language because in math language only certain words have any meaning at all.
Welcome to the virtual world Kelly!
An operation:
An action or procedure which produces something.
Addition
To count things that are the same.
Addition and Subtraction are inverse operations!An inverse means the opposite of.Counting from left to right now
becomes counting from right to left
Subtraction
A way to find out how far it is between things. (distance)
To take from something that is already there.
Words that mean subtract:
Subtract, Descend, Smaller, Minus, Take away, Withdraw, Less, Down, Decrease, Negative, and Difference.
Multiplication
To count things by more than one at a time.
Words that mean multiply:
Multiply
Times
By
Product
Of
Multiply and Divide are inverse operations.
If 18 / 2 = 9 then 18 x 1/2 = 9
If 50 / 2 = 25 then 50 x 1/2 = 25
Division
To separate things into equal groups.
A remainder is what is left over if it does not fit into one of the equal groups.
Six words that mean divide:
Divide
Separate
Cut
Ratio
Quotient
Per
percent=divide by 100.
Yes indeed! Great job
An operation:
An action or procedure which produces something.
Addition
To count things that are the same.
Addition and Subtraction are inverse operations!An inverse means the opposite of.Counting from left to right now
becomes counting from right to left
Subtraction
A way to find out how far it is between things. (distance)
To take from something that is already there.
Words that mean subtract:
Subtract, Descend, Smaller, Minus, Take away, Withdraw, Less, Down, Decrease, Negative, and Difference.
Multiplication
To count things by more than one at a time.
Words that mean multiply:
Multiply
Times
By
Product
Of
Multiply and Divide are inverse operations.
If 18 / 2 = 9 then 18 x 1/2 = 9
If 50 / 2 = 25 then 50 x 1/2 = 25
Division
To separate things into equal groups.
A remainder is what is left over if it does not fit into one of the equal groups.
Six words that mean divide:
Divide
Separate
Cut
Ratio
Quotient
Per
percent=divide by 100.
Words that mean equal to:
Equal
The Same As
Equivalent
Congruent
Is
What about things being equal in time?
Is –Happening now
Was –Happening before
Will be –Happening in the future
3 ways numbers are related are equal to, less than, or more than.
6 Words that mean not equal to without the word not:
Is Less Than
Is Less Than or Equal to
At Most
Is Greater Than
Is Greater Than or Equal to
Not Less Than means Greater than or equal to
Not Less Than or Equal to means Greater than
Not Greater Than means Less than or equal to
Not Greater Than or Equal to means Less than.
Simple as you have put it!
Mr. D
An operation in math is an action or procedure which produces something.
Addition is to count thing that are the same.
You can not count 1/4+2/5 because they are not the same.
You can count 1/5+2/5 because they are the same.
AddBigger Ascend
PlusGrowDeposit
MoreUpIncrease
TotalPositive
Greater
Sum is all the ways you can say add.
Sum is all those ways!
Great
Mr. D
addition and subtraction are inverse operations.
an inverse means the opposite of. counting from left to right now becomes counting from left to right.
subtraction is 1)A way to find out how far it is between things. (distance)
2)To take from something that is already there.
ten words that mean subtract are SubtractDescendSmallerMinusTake awayWithdrawLess DownDecreaseNegativeDifference
Nice Work Kelly!
Mr. D
multiplication:To count things by more than one at a time.
Multiply
Times
By Product of are words that mean multiply.
Of is my favorite!
Adding integers is like gains and losses because if you lose 2 then it is negative 2. But if you gain 5 then that is positive 5. If you lose 2 and then you gain 5, you gained 3.
Excellent Sean!
It’s like money. When you make money, it’s positive. But when you lose money, it makes it negative.
Money is a good thing especially when it is positive!
Hey Mr. D!
I found something else on a different section that I think might be a mistake. Its from section 2.5 for the multiplication. Here is the question-
14.) -7x-1x8x-1x-1
I counted 4 negative signs so that would be positive you said.
But you put that it was negative.
I might be wrong though.
-Bethany E.
Wow you are getting very good at this! Thanks so much!!!!!
Adding integers are like gains and losses because when you subtract, you lose some so it becomes negative. When you add, it’s like gaining something. +7 or 7.
Guessing you like the gains better than the losses!
Why is adding integers like gains and losses?
It is like that because if you add positives it gives you a positive so you have a gain.
When you subtract negatives it gives you a negative so you have a loss.
Adding and subtracting positives and negatives in the same problem is another matter altogether.
Excellent Ryan!
Mr. D
Why is adding integers
like gains and losses?
Think of it like point for sports and penalty. Positive points go up penalrys make points go down
Alright Alex!
Love it!
Why is adding integers like gains and loses?
Because there are negatives which are losses and positives which are gains!!!!!
right Michael – its that easy!
Why is adding integers like gains and loses?
Its like sports. When you gain yards its a positive. When you get sacked and lose yards in a negative
Awesome!
Sports is great way to look at how to do math!
its*
Adding integers is like gains and losses because when you add two positive integers, you have a gain, and when you add a positive and a negative integer, you would have a loss.
Sorry this is late, but I totally forgot about this when I did the course work.
No worries!
You are doing great
1.) A term in algebra is anything that is separated by a + or a – sign
2.) Monomial= One term.(4x) Binomial= Two terms (2x+3y) Trinomial=(4x^2 + 2x – 3)
3.) Like terms in Algebra are when the variable and the exponent are the same
4.) Like terms in algebra can be added because you are counting the same thing
5.) You cannot add not like terms you can only add like terms
Alright Holton!
this is awesome!!!!
Hey Mr. D is 4.) wrong on course work section 2.7 wrong? Shouldn’t -18cm + -16cm equal -34cm?
thats what i thought to. It says that it should be -24cm instead of -34cm.
Yeah, that’s what I thought too.
Hi guys! You are both correct!
I will correct answer key
thanks for finding!!!!!
A monomial is a polynomial but a polynomial is barley a monomial because a polynomial is something with terms so it is a monomial but it is also all the other terms
Yes it is!
1) A term in algebra is anything that is seperated by a+ or -sign.
2) Monomial means one term, Binomial means two terms, trinomial means three terms, and polynomial means something with terms.
3) Like terms in algebra are when the variable and exponent of the variable are the same.
4) Like terms in algebra can be added because you are counting the same thing.
5) 2x+x=3x because x is like saying 1x so 2x and x are the same.
6) 2x+y=2x+y because the y is not the same as 2x so the y and x are different letters.
7) a+b=a+b because the a and the b are not the same letters so you can not add them together.
8)4x^2+5x^2=9x^2 because the 4x^2 is the same as 5x^2.
9) 2xy^4-8xy^4+4xy^4=-2xy ^4 because all the numbers have xy^4 after them and that makes them the same.
10) 3a^3b-4ab^3=3a^3b-4ab^2 because the a^3b and the ab^3 are not the same so therefore it equals 3a^3b-4ab^3.
Excellent
Wow are you great at this!
1) If a binomial is a polynomial,then a polynomial is sometimes a binomial.8) 8) 8)
Perfecto!
1) If a binomial is a polynomial them the polynomial is sometimes a binomial.
If a Binomial is a Polynomial, then is a Polynomial a Binomial?
Sometimes because Polynomial is any number and a Binomial is 2. Binomial is a Polynomial because it is 2 and since Polynomial is any number it would be 2 also. But any number can’t be 2 all the time because it is ANY number.
Excellent Ryan!
1)If a binomial is a polynomial then is a polynomial a binomial?
Sometimes. A polynomial can be an type of ___nomial so it can sometimes be a binomial.
very nice sophie!
2.7
If a binomial is a polynomial, then is a polynomial a binomial.
The answer is sometimes.
ding ding!
Great!!!!
the difference between Rational and Irrational Numbers is:
Rational means predictable
Irrational means unpredictable
Great Charles!
You Are a Star Student!
What is the difference between an equation and an expression?An equation is a complete sentence while an expression is a command
Equation: Four more than six is ten4 + 6 = 10
Expression: Four more than six 4 + 6
What is a variable?
A variable is something that takes the place of a number in an equation, expression or inequality!
Translate: 4 more than a number is10
more than means add
a number means variable
is means =
4 more than a number is 104 + x = 10
5 more than a number is 12 5+x =12
Translate:
8 less than a number is 24
less than means subtract a number means variable
is means =
Translate:
5 less than a number is 12
X -5 =12
Translate:
4 less than 3 times a number is 10
3x -4 = 10
Translate:
Twice a number decreased by 12 is the
same as the number increased by 8.2x –12 = x + 8
very good charles!
it matters whether the “x” is first in the translation of 8 less than a number is 24 because 8 less than a number means that 24 is 8 more than the variable, not the 8-x.
Right! The answer will not be the same otherwise!
If a binomial is a polynomial, then is a polynomial a binomial?
Sometimes.
A polynomial is any “nomial”, Monomial, Binomial, trinomial and above. It can be a binomial, but it doesn’t have to be just a binomial.
Perfect Calvin!
Integers –
The negative and positive counting numbers and Zero
a number line is a line with numbers on it!
What is a negative number?
The opposite of a positive number!
What is the negative of a negative number?
A positive number
What is Absolute Value?
The distance of any number from 0 Absolute is shown by using these symbols in math | |
Very very good!!!!
adding integers is like gains and losses because adding a – is like lossing some thing and adding a + is like gaining something.
awesome
that is it!
A polynomial sometimes can be a binomial because a binomial has 2 monomials, a polynomial has more than 1. More than one means it could be 2 or anything higher.
Very good
You got it!
Q: If a binomial is a polynomial, is a polynomial a binomial?
A: Well we know that polynomials include all three types: monomial, binomial, and trinomial. So it COULD be a binomial . . . or it could be a monomial or a trinomial or a whatever-nomial.
Oh and it’s “sometimes,” in answer to “Always, sometimes, or never?”
That is correct Giselle!
Great job!
Mr. D
1) Distribute means to give to several things equally.
2) The distributive properties is one of the most important properties in algebra.
3) -(x-3) means the opposite of or distribute the negative.
Great Gabriel!
Mr. D
Q: If a binomial is a polynomial, then is a polynomial and binomial?
A: Sometimes.
- A binomial will always be a polynomial, however, a polynomial can have one or more terms.
Very good Marissa!
You’re doing great!
Mr. D
What is a term in Algebra?Anything that is separated by a + or –sign.
Names for terms Monomial –One term example: 4x Binomial –Two terms example: 2x + 3y Trinomial –Three terms example: 4×2+ 2x -3Polynomial –Something with terms
What are like terms in Algebra? When the variable and exponent of the variable are the same!
Like terms in Algebra can be added because you are counting the same thing: 3x + 5x = 8x
So good!!!!!
What does distribute mean? To give to several things equally.
The distributive property is one of the most important properties in Algebra. We have already been using it!
24 * 7
=7(20 + 4)
=7 * 20 + 7 * 4
=140 + 28
=168
Look at
-(x -3)
This means the opposite of
or distribute the negative
nice work Charles!
Multiply and Divide are inverse operations.
If 18 divide by 2 is 9 then 18 times 1/2 is 9.
If 50 divided by 2 is 25 then 50 times 1/2 is 25.
Division is to separate things into equal groups.
DivideSeparate
CutRatio
Quotient and per are 6 words that mean divide.
percent means divide the prefix for 100.
Go Thursday morning math man!
Nice work!
Equal
The Same As
Equivalent
Congruent and is are 5 words that means equal to.
Words that mean equal to:
What about things being equal in time?
Is –_____Happening now_______________
Was –_________Happening before____________
Will be –___________Happening in the future___________
In Math, what are the only 3 ways numbers are related!
1.=
2.greater than
3.less than
Is Less Than<
Is Less Than or Equal to<
At Most
Is Greater Than or Equal to>
At Least> are six phrases than mean not equal without the word not.
Not Less Thanmeans ______>__
Not Less Than or Equal to means >_
Not Greater Thanmeans ____<____ Not Greater Than or Equal to means <_
I think you have got this down!
the difference between Rational and Irrational Numbers is:
Rational is predictable
Irrational is unpredictable
Yes…
What is the difference between an equation and an expression?An equation is a complete sentence while an expression is a command
Equation: Four more than six is ten4 + 6 = 10
Expression: Four more than six 4 + 6
What is a variable?
A variable is something that takes the place of a number in an equation, expression or inequality!
Translate: 4 more than a number is10
more than means add
a number means variable
is means =
4 more than a number is 104 + x = 10
5 more than a number is 12 5+x =12
Translate:
8 less than a number is 24
less than means subtract a number means variable
is means =
Translate:
5 less than a number is 12
X -5 =12
Translate:
4 less than 3 times a number is 10
3x -4 = 10
Translate:
Twice a number decreased by 12 is the
same as the number increased by 8.2x –12 = x + 8
Excellent Kelly!
it matters whether the “x” is first in the translation of 8 less than a number is 24 because 8 less than a number means that 24 is 8 more than the variable, not the 8-x.
sometimes the 24 will be more…it will effect the sign of the final answer when not in the right order
Integers –
The negative and positive counting numbers and Zero
a number line is a line with numbers on it!
What is a negative number?
The opposite of a positive number.
What is the negative of a negative number?
A positive number
What is Absolute Value?
The distance of any number from 0 Absolute is shown by using these symbols in math | |
Great…this looks perfect!
adding integers is like gains and losses because adding a – is like lossing some thing and adding a + is like gaining something.
yes it is Kelly!
A polynomial sometimes can be a binomial because a binomial has 2 monomials, a polynomial has more than 1. More than one means it could be 2 or anything higher.
it has 1 or more more…a monomial is a polynomial too
What is a term in Algebra?Anything that is separated by a + or –sign.
Names for terms Monomial –One term example: 4x Binomial –Two terms example: 2x + 3y Trinomial –Three terms example: 4×2+ 2x -3Polynomial –Something with terms
What are like terms in Algebra? When the variable and exponent of the variable are the same.
Like terms in Algebra can be added because you are counting the same thing: 3x + 5x = 8x
Wow you do get a lot of work done when you are are in to this! Nice!
What does distribute mean? To give to several things equally.
The distributive property is one of the most important properties in Algebra. We have already been using it!
24 * 7
=7(20 + 4)
=7 * 20 + 7 * 4
=140 + 28
=168
Look at
-(x -3)
This means the opposite of
or distribute the negative
Very good!
Kelly, this is an important Algebra concept and you’ve got it!
If a binomial is a polynomial, then is a polynomial abinomial. Sometimes only when it is four but if it is less or more then it is not a binomial.
a polynomial could be anything with terms. a binomial has exactly 2
1.) If a binomial is a polynomial, then is a polynomial a binomial?
A.) Sometimes.
Because sometimes a polynomial is a binomial, and other times it isn’t. It just depends.
-Bethany E.
What does it depend on?
If there are more then 2 terms then it isn’t because a binomial has 2 terms?
-Bethany E.
Section 2.7 Like Terms
1.What is a term in Algebra? Anything that is separated by a + or – sign.
2.Names for terms-
Monomial- One Term
Binomial- Two Terms
Trinomial- Three Terms
Polynomial- Something with terms
3.Monomials, Binomials and Trinomials are Polynomials too. They just have their own special cool names!
4.What are like terms in Algebra? When the variable and exponent of the variable are the same!
5.Like terms in Algebra can be added because you are counting the same thing. 3x+5x=8x
6.2x+x=3x- Why? Because you have two x’s plus one x. You have like terms and you can add two x’s plus one x and get three x’s.
7.2x+y=2x+y- Why? They are not like terms. You don’t have an x and a x. You have a x and a y. You can’t add them together so it’s literally 2x+y.
-Bethany E.
very good!
2 not four woops.
Oh – that helps!
Mr. D
If a binomial is a polynomial, then is a polynomial a binomial?
Answer:
Sometimes
This is because a polynomial is something with terms, and a binomial is two terms. So, a binomial is a polynomial, because it has terms, and a polynomial is sometimes a binomial, because a polynomial can be two terms but it could also be three terms, four terms, five terms, etc.
Very good Sean Patrick!
1) anything that is seperated by a + or – sign.
2) monomial = 1 term, binomial = 2 terms, trinomial= 3 terms, polynomial = something with terms.
3)when the variable and the exponent of the variable are the same.
4)like terms can be added because you are counting the same thing.
5)2x + x = 3x because X is the same.
6)2x + y = 2x + y because X and Y are not alike.
7)a + b = a + b because A and B are not alike.
8)4×2+ 5×2= 9×2 because 4×2 and 5×2 are the same.
9) 2xy2–8xy2+ 4xy2= -2xy2 because 2xy2–8xy2+ 4xy2 are all the same.
10) 3a3b –4ab3= 3a3b –4ab3 because they are not alike.
Right on Avery!
Sometimes
The reason why is because a monomial is always a polynomial but a polynomial can be 1 or more terms.
Yes!
Nice work!
1) distribute means to give to several things equally.
2) the distributive property is one of the most important in algebra
3) 24 * 7 = 20 + 4 * 7
4)This means the _opposite______ of
or distribute the negative
You are tearing it up!
Great
We simplify expressions and solve equations!
An equation will have an = sign.
There will be a form of the word is in the problem if it has been written in the English language waiting for translation to Math language.
In this chapter you will be working with linear equations. A linear equation is an equation of a line. You will be graphing lines later in this text series.
A linear equation has 2 things happening:1) There is an = sign. That is the equation piece.
2) The variable will be a 1stpower variable. That is what creates a line.
To solve equations both
linear and non-linear here is the rule. UNDO WHAT IS
BEING DONE TO THE VARIABLE.
To undo what is being
done to the variable you will do the order of operations backwards.
That means undo
addition and subtraction first then undo multiplication and division.
To undo an operation, you use inverse operations.
To undo addition, you use subtraction.
Why is getting a zero important?Adding 0 to anything gives you what you already have.
By the way to keep things equal when there is an equal sign, what ever you do one side of an equation you must do the same thing to the other side of the equation
x + 8 = 12What is happening to the variable?It is being added by 8.
Everything is adding, Everything is adding, so this is read 12 + -8
x + -8 = 12What is happening to the variable?It is being added by -8
The selling price of a certain DVD is $8 more than the price the store paid for it. The selling price is $18. What is the price the store paid for the DVD?What is the question?
What is the price the store paid for the DVD?
What are the math words and numbers?
18-8=10
The store paid $10 for the DVD
Great! Wow!
Mr. D
Sometimes. A binomial is always a polynomial. A polynomial is sometimes binomial because a polynomial can have more than two terms.
Hi there math superstar!
A polynomial is something with 1 or more terms. A monomial is a polynomial too!
Hey Mr. D, would you mind sending me my gradebook again please? I don’t have it in my email
Hi Avery,
wil do
Mr.D
We simplify expressions and solve equations! An equation will have an = sign. There will be a form of the word is in the problem if it has been written in the English language waiting for translation to Math language.
In this chapter you will be working with linear equations. A linear equation is an equation of a line. You will be graphing lines later in this text series. A linear equation has 2 things happening:
1) There is an = sign. That is the equation piece.
2) The variable will be a 1stpower variable. That is what creates a line.
To solve equations both linear and non-linear here is the rule! UNDO WHAT IS BEING DONE TO THE VARIABLE!
To undo what is being done to the variable you will do the order of operations backwards.
That means undo addition and subtraction first then undo multiplication and division.
To undo an operation, you use inverse operations!
To undo addition, you use subtraction!
Why is getting a zero important? Adding 0 to anything gives you what you already have.
By the way to keep things equal when there is an equal sign, what ever you do one side of an equation you must do the same thing to the other side of the equation!
x + 8 = 12 What is happening to the variable? It is being added by 8
x + 8-8 = 12-8
Everything is adding, so this is read 12 + -8
Everything is adding, so this is read 8 + -8
x + -8 = 12What is happening to the variable?It is being added by -8
x + 8 = -12What is happening to the variable?It is being added by 8
x + -8 = -12What is happening to the variable?It is being added by -8
The selling price of a certain DVD is$8 more than the price the store paid for it. The selling price is$18.
What is the price the store paid for the DVD?
selling price = 8 + price store paid
Hi Charles,
wow, great job! You rock
So, the store paid $10 for the DVD, right? 18 = 8 + x
18 – 8 = 8 – 8 + x
x = 10
To solve equations both
linear and non-linear here is the rule!UNDO WHAT IS
BEING DONE TO THE VARIABLE
Hi Kelly,
exactly!
To undo an operation, you use inverse operations
To undo multiplication,
you use division
To undo division,
you use multiplication
Why is getting a one important?Multiplying 1 by anything gives you what you already have
8x = 24
What is happening to the variable?It is being multiplied by 8
A fraction bar is a division sign
-8x = 24
What is happening to the variable?It is being ___mutiplied_____ by __-8
If a variable is being divided by 8 you multiply by 8!
x= 3
8 0
What is happening to the variable?
It is being divided by 8
The area of a parallelogram =the base times the height. If the area of a parallelogram is 60 and the heightis 15, what is the base of the parallelogram?
What are the math words and numbers?
Area = Base x Height
A = bhor bh= A
Hi Kelly,
you are doing awesome on all of your answers
Perfect way to set up the parallelogram problem. Now, to solve it: the parallelogram has an area of 60 and height of 15.
A = bh
60=b x 15 (divide both sides by 15 – opposite operation of multiplication)
b = 4
My base is 4.
Again, Great Job!
Section- 3.1
1.We simplify expressions and solve equations.
2.There will be a form of the word is in the problem if it has been written in the English language waiting for translation to Math language.
3. In this chapter you will be working with linear equations.
4. A linear equation has 2 things happening:
1) There is an = sign. That is the equation peice.
2) The variable will be a 1st power variable. That is what creates a line.
5. To solve equations both linear and non-linear here is the rule.
UNDO WHAT IS BEING DONE TO THE VARIABLE!
6. To undo what is being done to the variable you will do the order of operations backwards.
7. That means undo addition and subtraction first then undo multiplication and division.
8. To undo an operation, you use inverse operations!
9. To undo addition is to add it’s opposite.
10. Why is getting a zero important?- Adding 0 to anything gives you what you already have.
11. By the way to keep things equal when there is an equal sign, what ever you do one side of an equation you must do the same thing to the other side of the equation.
-Bethany E.
Hi Bethany,
good job girl!
Hey Mr. D!
#9 on section 3.1 part 2 is a mistake I think. You put -4 but isn’t it suppost to be -15? Because you need to add -9 and -11. I might be doing something wrong though.
Thanks!
-Bethany E.
1) We simplify expressions and solve equations.
2) An equation has an = sign.
3) There will a form of the word is in the problem if it has been written in the English language waiting for translation to math language.
4) Int his chapter you will be working with linear equatoins.
5) A linear equation has two things happening: 1)Thee is a = sign. That is the equation piece. 2)The variable will be a 1st power variable.
6) Undo what is being done to the variable!
7) To undo what is being done to the variable you will do the order of operations backwards.
8.) That means undo multiplication and subtraction first then undo multiplication and division.
9) To undo an operation, you use inverse operations!
10) To undo addition is to add it’s opposite!
11) Adding 0 to anything gives you what you already have.
12) By the way to keep things equal when there is an equal sign, What ever you do one side of an equation you must do the same= thing to the other side of the equation!
13) The variable is being added by 8 in x+8=12.
14) Everything is adding, so this is read 8+-8. x+8=12, Everything is adding, so this is read 12+-8. -8 -8
15) x+-8=12 the variable is being added by -8.
16) x+-8=-12 the variable is being added by -8.
17) $8+x=$18.
18) $10 is the answer. The math words and numbers are selling price, is, 8 more than, price the store paid, and selling price is 18.
19) The store paid $10 for the dvd.
Hi Gabriel
you are on the right track!
Awesome!!
1. In the equation -2x + 8 = -14, what is happening to the variable?
It is being multiplied by -2 and added by 8.
2. Why do you do the order of operations backward when solving an equation?
Because you have to undo what is being done the variable!
Hi Giselle,
that’s right!
Part I
In the equation -2x + 8 = -14, what is happening to the variable?
it is being multiplied by -2 then added by 8
Part IIWhy do you do the order of operations backward when solving an equation?
To undo what is done to the variable.
Hi Kelly,
that’s right!
Part I
In the equation -2x + 8 = -14, what is happening to the variable?
the variable is being multiplied by -2 and added by 8.
Part II
Why do you do the order of operations backward when solving an equation?
To undo what is being done to the variable.
Hi Charles,
Exactly!
1.) We simplify and solve equations
2.) An equation will have a = sign
3.) There will a form of the word is in the problem if it has been written in the English language waiting for translation to math language.
4.) In this chapter you will be working with linear equations
5.) 1) There is a = sign. That is the equation piece. 2) The variable will be the 1st power variable. That is what creates a line.
6.) Undo what is being done to the variable
7.) To undo what is being done to the variable you will do the order of operations backwards
8.) That means undo addition and subtraction first then undo multiplication and division
9.) To undo an operation, You use inverse operations
10) To undo addition is to add it’s opposite
11.) Adding a zero is important because adding a 0 to anything gives you what you already have
12.) By the way to keep things equal when there is an equal sign, What ever you do one side of an equation you must do the same= thing to the other side of the equation!
13.) x+8=12. ( The variable is being added by -8)
14.) Everything is adding, so this is read -8+8. x+-8=12, Everything is adding, so this is read 12+8.
15.) x+-8=12 ( The variable is being added by 8)
16.) x+8=-12 ( The variable is being added by -8)
17.) x=-8=-12 ( The variable is being added by +8)
18.) 18=8+x
Hi Awesome Holton
,
good job!
13) The variable is being added by 8.
14) Everything is adding, so this is read 8+-8. x+8=12, Everything is adding, so this is read 12+-8 (twelve plus negative eight)
15) x+-8=12 the variable is added by -8..correct! However, the variable is equal to 16.
16) x+-8=-12 the variable is being added by -8.
1) To solve both linear and non-linear equations you need to undo what is being done to the variable.
2) To undo an operation, you use inverse operations!
3) To undo multiplication you use division! To undo division you use multiplication!
4) To undo multiplication you divide!
5) Getting a one is so important because multiplying 1 by anything gives you what you already have.
6) 8x=24 the variable is being multiplied by 8.
7) A fraction bar is a division sign.
8.) -8x=24 the variable is being multiplied by -8.
9) To undo division you multiply.
10) If a variable is being divided by 8 you multiply by 8.
11) Getting a one is important because multiplying 1 by anything gives you what you already have.
12) x/8=3 the variable is being divided by 8.
13) x/-8=3 the variable is being divided by -8.
14) 15x=60 is the question for the parallelogram.
15) The math words and numbers are area of a parallelogram= base times height, area of a parallelogram is 60, height 15.
16) Area= Base x Height
A= bh
or
bh= A
Hi Gabriel,
Excellent job!
I think Question 6.) In 3.1 course work part III is wrong. x+ -4=-9. 9 was supposed to be added not subtracted to get the answer (-5)
Hi Holton…
Since the x is being added by -4 you undo that by adding +4 to both sides…so the answer does come out to -5.
Let me know if that makes sense.
Mr. D
Hi again,
I see why you had this question…the answer key says x = -13
My mistake!!!!!!
1.) To solve both linear and non-linear equations you need to undo what is being done to the variable.
2.) To undo an operation, you use inverse operations!
3.) To undo multiplication you use division! To undo division you use multiplication!
4.) To undo multiplication you divide!
5.) Getting a one is so important because multiplying 1 by anything gives you what you already have.
6.) 8x=24 the variable is being multiplied by 8.
7.) A fraction bar is a division sign
8.) -8x=24 ( the variable is being multiplied by -8)
9.) To undo division you Multiply!
10.) If a variable is being divided by eight you multiply by 8!
11.) Multiplying 1 times anything gives you what you already have
12.) x/8=3 ( The variable is being divided by 8)
13.) x/-8=3 the variable is being divided by -8.
14.) 14) 15x=60 is the question for the parallelogram.
15.) The math words and numbers are Area=Base x Height, A=bh, or bh=A
16.)15b=60 (divide both sides by 15) (1x=4) then (1=4)
Holton
You are Awesome for sure!
Part I) In the equation -2x+ 8= -14 the variable is being multiplied by -2 and added by 8
Part II) Why do you do the order of operations backward when solving an equation?
To undo what is being done to the variable.
Excellent Amigo!
Homework Question….from Mom with math insecurities
Section 3.1 Part III
Question 6
x + -4 = -9 so we add +4 to each side
+4 +4
for -9 +4 I thought it would be -5, so x= -5
the answer says -13
Which is correct?
x = -5
Mr. D had an oops
1) -2x+8= -14 the variable is being multiplied by -2 and added by 8.
2) You do the order of operation backwards when solving an equation in order to undo the what is being done to the variable.
Awesome!!!!!!
Superstar Math Man strikes again!
Section- 3.1
1. To undo multiplication, you use division.
2. To undo division you use multiplication.
3. To undo multiplication, you divide!
4. Why is getting a one important?- Multiplying 1 by anything gives you what you already have.
5. To undo division, you multiply!
6. If a variable is being divided by 8 you multiply by 8.
-Bethany E.
*Section- 3.2
Right right and right!
Section- 3.2
1.8x=24
What is happening to the variable?- It is being multiplied by 8.
2. A fraction bar is a division sign.
3.-8x=24
What is happening to the variable?- It is being multiplied by -8.
4.x=3
-
8 What is happening to the variable?- It is being divided by 8.
5.x=3
-
-8 What is happening to the variable?- It is being divided by -8.
Bethany E.
Rock on miss bethany!
If a binomial is a polynomial, then is a polynomial a binomial.
Sometimes, only if there is two terms.
Nice work RJ!
Having fun yet?
1.) We simplify and solve equations
2) An equation will have an = sign.
3) There will be a form of the word is in the problem
4) We will be working with linear equations.
5) The two things happening are, there is an equal sign. that is the equation piece. The variable will be a 1st power variable.
6)Undo what is being done to the variable
7)To undo what is being done to the variable you will do the order of operations backwards.
8) That means undo addition and subtraction first and then undo multiplication and division.
9) To undo and operation, you use inverse operations.
10)To undo addition is to add its opposite
11) Adding 0 to anything gives you what you already have.
12) To keep things equal when there is an equal sign, what ever you do to one sign of the equation, you must do to the other side as well
13) It is being added by 8
14) X + 8 | 12 + -8
15) It is being subtracted by 8
16) It is being added by 8
17) It is being subtracted by 8
18) What is the price the store paid for the DVD?
19) 18 + 8 + X
What is your answer to 18) What is the price the store paid for the DVD?
Mr. D
1) Undo the variable
2) To undo an operation you must use inverse operations
3) To undo multiplication you use division and vice versa.
4) When you multiply 1 by anything it gives you what you already have.
5) It is being multiplied by 8.
6) A fraction bar is a division sign.
7) It is being multiplied by – 8
8) To undo division you multiply.
9) If a variable is being divided by 8, you multiply by 8
10) X is being divided by 8.
11) X is being dived by -8.
12) What is the base of the parallelogram?
13) Base times height. a = bh or bh = a.
12) What is the base of the parallelogram?
13) Base times height. a = bh or bh = a.
what answers did you get?
Mr. D
In the equation -2x + 8 = -14, what is happening to the variable? It is being multiplied by -2 and added by 8.
Why do you do the order of operations backward when solving an equation? To undo the variable.
Excellent again Avery!
Part 1) -
In the equation -2x + 8= -14, what is happening to the variable?
It is being multiplied by 2 and added by 8.
Part 2)-
Why do you do the order of operations backwards solving an equation?
To undo what is being done to the variable.
Hi Marissa,
You are doing great!
I will be emailing mom a new chapter 3 test in a couple of weeks.
So don’t do the one on the DVD.
The new test will tell you which section to look in if you need to look back to see how to do the test question.
Section 3.3 Part 1
1.) In the equation -2x+8=-14, what is happening to the variable?
A. It is being multiplied by -2 and added by 8.
2.) Why do you do the order of operations backward when solving an equation?
A. To undo what is being done to the variable.
Bethany E.
Hi Bethany,
that’s right girl!
Mr. D
Section 3.2-
1) In the equation -2x + 8 = -14, what is happening to the variable?
A) It is being multiplied by -2.
2) Why do you do the order of operations backward when solving an equation?
A) To undo an operation.
Hi Jilian,
you are correct. The variable is being multiplied by -2, and it is also added by 8.
And yes, we do order of operations backwards to undo what is being done to the variable.
Good job
Mr. D
3.3
Part 1
Q) In the equation -2x+8= -14, what is happening to the variable?
A) The variable(x) is being multiplied by -2 and added to 8.
Part 2
Q) Why do you do the order of operations backward when solving an equation?
A) To undo what is being done to the variable in said equation.
Hi Jacob,
right on!
Mr.D
Sorry so late… anyways here are my answers:
Part 1:
Q) In the equation -2x+8=-14 what is happening to the variable?
A) It (the is variable x) is being multiplied by -2 and added to 8
Part 2:
Q)Why do you do the order of operations (PEMDAS) backwards when solving an equation?
A) To undo what is being done to the variable.
Hi Sophie
,
You got it girl!
Mr.D
In the equation -2x + 8 = -14 what is happening to the variable?
It is being multiplied by -2 and added by 8!
Why do you do the order of operations backwards when solving an equation?
To undo what is being done to the variable!
Hi Michael,
you got it!
Mr.D
NUMBER DOING DIVIDING 12
TEST Has to be divisible by 3 and 4
EXAMPLE 144 is divisible by 12.
Hi Charles,
good job. A number is divisible by 12, if its last two digits are divisible by 4 and the sum of its digits is divisible by 3.
Mr. D
In the equation -2x+8=-14, the variable is being multiplied by -2 and added by 8.
When solving an equation, you undo what is being done to the variable. That means that you use the inverse (opposite) operation. So that means to undo what is being done to the variable, you do the order of operations backwards.
Hi Sean,
right on!
Mr.D
Part I
In the equation -2x + 8 = -14, what is happening to the variable?Part IIWhy do you do the order of operations backward when solving an equation?
The x is being mutiplided by -2 and added by 8
Part II
Why do you do the order of operations backward when solving an equation?
So that we undo what is being done to the varibal (did you say that so we could get the number or varibal we started with?)
I hope I said it right! see ya wensday!
Hi Alex,
good job
Mr.D
1) Undo what is being done to the variable.
2) If an equation has variables on both sidesof the = sign then bring the smaller x to the bigger x.
3) Add the opposite of 7x. Notice the x is moving with the 7.
4) 12x-8=7x+7
-7x -7x
__________
5x-8=0+7
5x-8=7
+8 +8
__________
5x+0=15
5x = 15
5) 5x=15
_ _
5 5
1x=3
x=3
6) 12x-8=7x+7
12(3)-8=7(3)+7
36-8=21+7
28=28
7) ( break even means when the sales = costs)
8.) How many shirts will you have to sell before you break even?
This is the question.
9) Sell $12 each, costs$112, costs$4 for each shirt
10) 12x=112+4x
-4x -4x
__________
8x=112+0
8x=112
8x=112
_ _
8 8
1x=14
x=14
11) 14 Shirts.
Hi Gabriel,
right on!
Mr.D
1) Undo what is being done to the variable
2) Bring the smaller X to the bigger X
3) Add the opposite of 7x, the X moves with the 7
4) -7x -7x. +8 +8. 5x + 0
5) 5x 15. 1x = 3
5 15
6) 12x –8 = 7x + 7
12(3) –8 = 7(3) + 7
36 –8 = 21 + 728 = 28
7)How many shirts do you have to sell to break even? sales = cost.
8)12x = 112 + 4x
-4x -4x
8x = 112 + 08x = 1128x= 112
8 8 0
1x = 14
X =14
9)14 shirts
Hi Avery,
good Job!
Mr.D
Section 3.5
1.) To solve equations both linear and non-linear here is the rule! Undo what is being done to the variable.
2.) What if an equation has variables on both sides of the = sign?
12x-8=7x+7 Bring the smaller x to the bigger x!
3.)12x-8=7x+7
-7x -7x
———————
Add the opposite of 7x. Notice the x is moving with the 7!
4.) Break even means- sales=cost
-Bethany E.
1) Undo what is being done to the variable
2) Bring the smaller X to the bigger X
3) Add the opposite of 7x, the X moves with the 7
4) -7x -7x. +8 +8. 5x + 0
5) 5x 15. 1x = 3
6) 5x/5= 15/5 (1x=3) (x=3)
7) 12(3) –8 = 7(3) + 7 (28=28)
8)12x=112=4x
-4 -4
8x = 112 + 0
8x/112
8 8
1x=14
(x=14)
9) 14 shirts
Hi Holton,
that’s right!
Mr.D
Section 3.6
1.)Sometimes with a formula you have the answer but need to find out how the answer was found! This is an opportunity to solve equations.
2.) Formula for simple interest-
I=prt
I= Interest
P= Principal (how much start with)
R= Rate (the interest rate as a %)
T= Time (how long did the principal earn interest)
3.) Perimeter of a rectangle-
P=2l+2w
P= Perimeter (the distance of a rectangle)
L= The length
W= The width
-Bethany
Hi Bethany,
That’s right. Good job
Mr.D
Q.Part I
In the equation -2x + 8 = -14, what is happening to the variable?
A.the variable is being multiplied by -2 and being added by 8.
Q.Part II
Why do you do the order of operations backward when solving an equation?
A.you undo what is being done to the variable.
Hi RJ,
Exactly!
Mr. D
Part I
In the equation -2x + 8 = -14, what is happening to the
variable?
The variable is being multiplied by -2 and having 8 added to it.
Part II
Why do you do the order of operations backward when
solving an equation?
Undo what is being done to the variable.
Hi Anna,
good job!
Mr.D
Section 4.1-
Number doing dividing- 50
Test- Last 2 digits must be 50 or 00
Example- 200, 350, 5,250, and 3,000 all end in 00 or 50 so 50 can go into them all evenly.
Hi Jillian,
you got it!
Mr.D
Section 4.1
NUMBER DOING DIVIDING- 30
TEST- The number must be divisible by 10 and the sum of the numbers digits must be divisible by 3.
EXAMPLE- 120 = 1+2+0 = 3, which is divisible by 3 and 120 is divisible by 10. Therefore, 120 is divisible by 30, along with 150, 180, 210, 240, 270, 300..etc.
Hi Jacob,
good Job!
Mr. D
Section 4.1
Number doing dividing- 18.
Test- The last digit must be even and the sum of the digits must be able to be divided by 9.
Example- 90- It is even and 9+0=9 and 9 can be divided by 9.
Bethany E.
Hi Bethany,
great job!
Mr.D
Tests for divisibility
Number doing dividing- 2350
Test- The last two digits must end in 00, 25, 50, or 75. It’s easy, just think of money!
Example- 650, 375 and 3000 all end in either 00, 25, 50 or 75.
Hi Marissa,
This part is to make a a divisibility rule.
Here is an example. for 15 since 15 = 3 * 5, then the rule for 15 is combining the rule for 5 and 3.
for 15 – if the number ends in a 5 or 0 and can be divided by 3 then it can be divided by 15.
your turn!
Mr. D
Number doing dividing 150
test- the number must end in 25,50, or 75 so the answer can be either of these numbers.
example is 1000, can be divided by all the numbers above.
HI Avery
This part is to make a a divisibility rule.
Here is an example. for 15 since 15 = 3 * 5, then the rule for 15 is combining the rule for 5 and 3.
for 15 – if the number ends in a 5 or 0 and can be divided by 3 then it can be divided by 15.
your turn!
Mr. D
Number doing dividing-150
test- the number must end in 25,50, or 75 so the answer can be either of these numbers.
example is 1000, can be divided by all the numbers above
Hi Holton
This part is to make a a divisibility rule.
Here is an example. for 15 since 15 = 3 * 5, then the rule for 15 is combining the rule for 5 and 3.
for 15 – if the number ends in a 5 or 0 and can be divided by 3 then it can be divided by 15.
your turn!
Mr. D
1)The number I am doing is 16.
The rule is that it has to be divisible by 2 and 8.
Example 192 is divisible by 2 and 8 so 192 is divisible by 16.
Hi there.
For 16, the last 4 digits must be divisible by 16.
examples:
10000
10160
0048
The number I am doing is 24. For a number to be divisible by 24, the last three digits of the number must be a number divisible by 8, and they must add up to a number divisible by 3.
Example: 2400: 2+4+0+0=6 which is a number divisible by 3, and the last three digits 400 are a number divisible by 8 (400/8=50).
Excellent Spencer!!!!!
Great thinking!!!!!
Mr. D
THE NUMBER I AM DOING IS 164!
TEST
IF THE LAST 2 DIGITS OF THE NUMBER CAN BE DIVIDED BY 4 THEN THE NUMBER CAN BE DIVIDED BY 4 ALSO.
EXAMPLE
164 CAN BE DIVIDED BY 4 BECAUSE THE LAST 2 DIGITS CAN BE DIVIDED BY 4, SO 4 GOES INTO 164!
Hi Michael
This part is to make a a divisibility rule.
Here is an example. for 15 since 15 = 3 * 5, then the rule for 15 is combining the rule for 5 and 3.
for 15 – if the number ends in a 5 or 0 and can be divided by 3 then it can be divided by 15.
your turn!
Mr. D
1.
The number doing dividing: 36
Test: Must be divisible by 4 (last two numbers must be divisible by 4) and 9 (sum of number must be divisible by 9)
Example: 144. 44 is divisible by four, and the sum (9) is divisible by 9, so 144 is divisible by 36. (It’s 36 x 4, by the way.)
wow – great work Giselle!!!!
Mr. D
number i am doing: 54
test:
for the number to be divisble by 54 the sum of the digits must be divisible by 9 or 3 and 2 (last digit must be even).
example:
108. the sum of the digits are divisible by 9 and it is even
Wow
so 378 is divisible by 54 because 3+7+8 = 18 so 9 goes into it and it is even!
Excellent!!!!!!
that would’ve been a cool number to do. it’s a (very) random number!
For a number to be divisible by 30, it must end in 0 and the sum of the digits must be divisible by 3.
Nice work Sean!
Loved the video from the TV interview!
Mr. D
Number 81
the three numbers added together have to be dividable by 3?
They will add to something divisible by 9
81
162
243
324
405
486
547
Nice thinking!!!!!
4.5
What is an y- intercept? The line crosses the y-axis and x=0
What is an x- intercept? The line crosses the x-axis and y=0
4.6
Name 5 places in the “real world” where slope exists:
1. Tires
2. Ski Slopes
3. Ramps
4. Windsheild
5. Stair Rail
-Bethany E.
You are rocking miss Bethany!
Mr. D
Part 1~ In the equation -2x+8=-14, what is happening to the variable is doing what is being done to the order of operation backwards.
Part 2~ The order of operations is backward when solving an equation because the order will be done in a normal order when divinding 8 by 24.
Hi Mr. D. Here are two questions from course work part 1. Q. In the equation -2x + 8 = -14, what is happening to the variable? A. The variable is being multiplied by 2 and added by 8. 2. Q. Why do you do the order of operations backward when solving an equation? To undo what is being done to the variable.
If a binomial is a polynomial, then is a polynomial a binomial.
It is because a Binomial has two terms so a polynomial has at least 2 terms. Poly means many.
Jesse D
Why is math a language?
Math is a language because it has defintions of words. Also, it uses numbers instead of words and many people can not interpret the numbers. In math some people can’t understand the numbers just like other people can’t interpret other languages.
Why is Math language like dog language?
Math language is like dog langauge because in math word probelms you half to listen for special words to know what to do just like how the dog listens for skipper,park, and go.
Hi Jesse,
Welcome to the Algebra I. So great to see you off and running!
Great answers! The beginning of the course will be fun for you as you have the opportunity to think from the world of Math as Language!
Looking forward to hearing more of your thoughts!
Mr. D