Question

1) Identify the like terms: 9x , 10y , -9y , 10.

2) Identify the like terms: -7w , 2y , 7 , 3w

3)Combine like terms: 8 + 16r - 9r

4) Combine the terms:5/6 x - 2/3 x

5) Combine the terms: 7 + 19t - 6t

Answer 1

DEFINITION OF LIKE TERMS: Same variables raised to the same powers

5:

7 + 19t - 6t

7 + 13t

3:

8 + 16r - 9r

8 + 7r

4:

5/6x - 2/3x

5/6x - 4/6x

1/6x

Because you only need a common denominator for subtraction & addition, but you do NOT need a common denominator when multiplying or dividing. So, 6 is the common denominator. So, I multiplied both 2 & 3 by 2 to get the same denominator. then, I subtracted 5/6x - 4/6x & got 1/6x as an answer.

1:

10y & -9y are like terms because they have the same variables

2:

-7w & 3w are like terms because they have the same variables

Hope this helps you!!! :)