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- jessiegonzales

MEDAL!!!!
20. Combine like terms. What is a simpler form of each expression?
9c-6d+4c-3d

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- jessiegonzales

MEDAL!!!!
20. Combine like terms. What is a simpler form of each expression?
9c-6d+4c-3d

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- misssunshinexxoxo

9c + 4c - 6d - 3d.
9c + 4c = 13c,
so overall, it simplifies down to 13c - 9d.

- jessiegonzales

okay thanks one question! 6d-3d=3d? so wouldn't it be 13c-3d?

- misssunshinexxoxo

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- jessiegonzales

there are no answer choices

- jessiegonzales

- misssunshinexxoxo

Do you know how to simplify?

- jessiegonzales

yes

- jessiegonzales

so 13c-9d is the answer?

- UsukiDoll

let me check
first we rearrange the terms
9c+4c-6d-3d

- UsukiDoll

we are just adding for c
9c+4c = 13c
we are dealing with negative numbers for d
-6d-3d = -9d
so let's modify the problem
9c+4c+6d-3d

- UsukiDoll

the c portion remains the same.. we just have to figure out what 6d-3d is

- jessiegonzales

3d

- UsukiDoll

mhm so the answer is 13c+3d

- jessiegonzales

yes thanks

- UsukiDoll

When we are dealing with problems like -6d-3d both of these numbers are negative so the negative sign remains and your number should increase
the problem can also be re-written as -6d+(-3d) but normally the + sign is dropped because writing 2 signs at once is frowned upon, so it becomes -6d-3d
6d-3d is just normal subtraction.

- jessiegonzales

oh.. so 13c+9d is the answer

- UsukiDoll

sort of .. the negative sign stays for -6d-3d

- UsukiDoll

-6d is negative
-3d is also negative
-6d-3d produces a bigger negative number..
d(-6-3) (I factored out the d to make it easier to see that -6-3 = -9)

- jessiegonzales

so 13c+9d is the answer

- UsukiDoll

. 13c-9d was the correct answer... I typed that we have a negative number and another negative number.... which is -6d-3d .. that negative sign stays.

- UsukiDoll

I'll use a number line |dw:1435040305329:dw|

- UsukiDoll

we have the problem -6-3... I start at -6|dw:1435040356711:dw|

- UsukiDoll

-3 means I have to move 3 units to the left.
-6-3 = -9|dw:1435040379706:dw|

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