SIMPLIFY VARIABLE EXPRESSIONS INVOLVING LIKE TERMS WORKSHEET

Question 1 :

Simplify :

-2(x - 9) + 4 (x + 7)

Question 2 :

Simplify :

6x - 3(2 - 3x)

Question 3 :

Simplify :

- 6 + 9 (8 - 2b) 

Question 4 :

Simplify :

4(x - 10) - 6(x - 4)

Question 5 :

Simplify :

10(9 + 8x) - 6(7x + 9)

Question 6 :

Simplify :

7(1 + 10p) + 8(1 + 6p)

Detailed Answer Key

Question 1 :

Simplify :

-2(x - 9) + 4 (x + 7)

Solution :

In order to simplify the above expression, we need to use the distributive property.

  =  −2(x − 9) + 4 (x + 7)

  =   -2x + 18 + 4x + 28

  =  -2x + 4x + 18 + 28

  =  2x + 46

Question 2 :

Simplify :

6x - 3(2 - 3x)

Solution :

In order to simplify the above expression, we need to use the distributive property.

  =   6x − 3(2 − 3x)

  =    6x − 6 + 9x

  =  6x + 9x - 6

  =  15x - 6

Question 3 :

Simplify :

- 6 + 9 (8 - 2b) 

Solution :

In order to simplify the above expression, we need to use the distributive property.

  =   −6 + 9 (8 − 2b) 

  =    -6 + 72 -  18b

  =  66 - 18 b

Question 4 :

Simplify :

4(x - 10) - 6(x - 4)

Solution :

In order to simplify the above expression, we need to use the distributive property.

  =   4(x − 10) − 6(x − 4)

  =   4x - 40 - 6x + 24

  =  4x - 6x - 40 + 24

=  -2x - 24

Question 5 :

Simplify :

10(9 + 8x) - 6(7x + 9)

Solution :

In order to simplify the above expression, we need to use the distributive property.

  =   10(9 + 8x) − 6(7x + 9)

  =   90 + 80 x  - 42x - 54

  =  90 - 54 + 80 x  - 42x

=  36 + 38x

Question 6 :

Simplify :

7(1 + 10p) + 8(1 + 6p)

Solution :

In order to simplify the above expression, we need to use the distributive property.

  =   7(1 + 10p) + 8(1 + 6p)

  =   7 + 70 p + 8 + 48 p

  =  7 + 8 + 70 p + 48 p

=  15 + 118 p

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