**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)

**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**

After having gone through the stuff given above, we hope that the students would have understood "Simplify variable expressions involving like terms".

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