Question

Which algebraic expression is equivalent to the expression below?


(9x + 12) - 6


A. 9x + 18
B. 21x - 6
C. 9x + 6
D. 21x + 6

Answer 1

Do you know how to combine like terms?

Answer 2

no how do you do that

Answer 3

Like terms are expressions which have a similar look. For example, 3x and -5x are like terms because they both have an x. -4x and 7 are not like terms because the 7 doesn't have an x. Only like terms can be combined. Now look at your problem. What two terms look the same?

Answer 4

none of them look the same

Answer 5

ok, list for me all the terms that you see.

Answer 6

i see that the 9 is the only umber that has a x by it. But the 12 & the 6 do not

Answer 7

Ok, well like terms don't have to have an x. I was just giving you examples of what like terms looked like. 7 and -5 are like terms because neither of them have an x.

Answer 8

oh so then -6 and 12

Answer 9

So, returning to our problem, what are the like terms?

Answer 10

Good!

Answer 11

yay!

Answer 12

Now, we can combinee them through addition, but remember that one of them is negative. So what do you get?

Answer 13

6

Answer 14

wait are we subtracting or adding

Answer 15

Good! Now, that is the result of the two terms that were like. What about the term that was not the same?

Answer 16

You are adding two numbers with different signs.

Answer 17

So, you can think about it as subtraction if you prefer.

Answer 18

9x + 6. is that the answer?

Answer 19

There you go! Perfect!

Answer 20

Try this one : (2x+4)-5x

Answer 21

THANK YOU SOOO MUCH :)))

Answer 22

yw...anytime!