# SIMPLIFY VARIABLE EXPRESSIONS INVOLVING LIKE TERMS WORKSHEET

## About "Simplify variable expressions involving like terms worksheet"

Simplify variable expressions involving like terms worksheet :

Here we are going to see some practice questions on simplify variable expressions.

(1) Simplify −2(x − 9) + 4 (x + 7)

(2)  Simplify  6x − 3(2 − 3x)

(3)  Simplify  −6 + 9 (8 − 2b)

(4)  Simplify  4(x − 10) − 6(x − 4)

(5)  Simplify  10(9 + 8x) − 6(7x + 9)

(6)  Simplify 7(1 + 10p) + 8(1 + 6p)

## Simplify variable expressions involving like terms worksheet - Solution

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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