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Distributive Property

Total questions: 10

Worksheet time: 50mins

Name
Class
Date
1.

Simplify using the distributive property: 2(2x+4)2\left(2x+4\right)

a)

4x+44x+4

b)

4x−84x-8

c)

4x+84x+8

d)

4x−44x-4

2.

What is the simplified version of this expression?  7(5x−1)7\left(5x-1\right)  

a)

 35x+735x+7  

b)

 35x−135x-1  

c)

 35x−735x-7  

d)

 5x−75x-7  

3.

What is the simplified version of this expression?  9(5x+8)9\left(5x+8\right)  

a)

 5x−725x-72  

b)

 45x+845x+8  

c)

 45x−7245x-72  

d)

 45x+7245x+72  

4.

Simplify using the distributive property: 56−8a56-8a  

a)

 8(7−a)8\left(7-a\right)  

b)

 7(8−a)7\left(8-a\right)  

c)

 8(7+a)8\left(7+a\right)  

d)

 7(8+a)7\left(8+a\right)  

5.

Find an equivalent expression for the following: 8a+248a+24  

a)

 8(a+24)8\left(a+24\right)  

b)

 2(4a+12)2\left(4a+12\right)  

c)

 8(a−24)8\left(a-24\right)  

d)

 2(4a−12)2\left(4a-12\right)  

6.

Find an equivalent expression for the following: 12c−3612c-36  

a)

 3(4c+12)3\left(4c+12\right)  

b)

 2(6c+17)2\left(6c+17\right)  

c)

 2(6c−17)2\left(6c-17\right)  

d)

 3(4c−12)3\left(4c-12\right)  

7.

What is the simplified version of this expression?  5(a+6)5(a+6)  

a)

 5a+65a+6  

b)

 a+30a+30  

c)

 5a+305a+30  

d)

 5a−305a-30  

8.

Find an equivalent expression for the following: 60x−1260x-12  

a)

 12(5x−12)12\left(5x-12\right)  

b)

 12(5x+1)12\left(5x+1\right)  

c)

 12(5x−1)12\left(5x-1\right)  

d)

 12(5x+12)12\left(5x+12\right)  

9.

Find an equivalent expression for the following: 66z+1166z+11  

a)

 11z(6+1)11z\left(6+1\right)  

b)

 11(6z+1)11\left(6z+1\right)  

c)

 11z(6−1)11z\left(6-1\right)  

d)

 11(6z−1)11\left(6z-1\right)  

10.

Find an equivalent expression for the following: 24g−624g-6  

a)

 3(8g+2)3\left(8g+2\right)  

b)

 24(g−1)24\left(g-1\right)  

c)

 2(12g−3)2\left(12g-3\right)  

d)

 6(4g+1)6\left(4g+1\right)