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Factoring Using the Distributive Property

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

3x+ 9x- 15x 

a)

x(3x2 + 9x - 15) 

b)

3x(x2 + 3x - 5)

c)

3x(x2 - 9x + 15) 

d)

x(3x2 -9x + 15) 

2.

Factor:
2n3+16n+12

a)

2n(n3+24n+6)

b)

2(n3+8n+6)

c)

2n(n3+8n+6)

d)

3(n3+8n+6)

3.

70c + 120

a)

10(7c + 12)

b)

10(7c +120)

c)

10c(7 + 12)

d)

10(70c + 120)

4.

96 + 132m

a)

2(48 +66m)

b)

12(8 + 11m)

c)

4(24 + 33m)

d)

3(32 + 44m)

5.

Solve using distributive property. 
3(x-6)

a)

3x+18

b)

3x-6

c)

3x+6

d)

3x-18

6.

Use the distributive property to simplify the expression

-2(6n + 3)

a)

-12n + 3

b)

-12n - 6

c)

-12n - 2

d)

-12n - 3

7.

Simplify the Expression using the Distributive Property: 6 (5 - 3w)

a)

30 - 18w

b)

30-3w

c)

12w

8.

Use the distributive property to simplify the expression

11(9 + d)

a)

99 + d

b)

20 + 9d

c)

20 + d

d)

99+11d

9.

Simplify the Expression using the Distributive Property : 8 (12 + a )

a)

20 + a

b)

96 + a

c)

96 + 8a

10.

50 + 55m

a)

50(1 + 5m)

b)

5(50 + 55m)

c)

5(10 + 11m)

d)

5(10 + 55m)

11.

42 + 66c

a)

6(42 + 66c)

b)

2(21 + 33c)

c)

3(14 + 22c)

d)

6(7 + 11c)

12.

8a + 22

a)

2(4a + 11)

b)

2(4a + 22)

c)

2a(4 + 11)

d)

2a(4 + 22)

13.

-70m - 63

a)

7(10m - 9)

b)

7(-10m + 9)

c)

-7(10m - 9)

d)

-7(10m + 9)

14.

36r - 16

a)

4r(9 - 4)

b)

2(18r - 8)

c)

4(9r - 16)

d)

4(9r - 4)

15.

-35 + 30b

a)

-5(7 + 6b)

b)

5(-7 + 6b)

c)

-5(7 - 6b)

d)

-5(7 + 30b)

16.

Use the distributive property to write an equivalent expression.
-9(2g-3)

(a)  

17.

Factor the expression. Do not enter spaces in your answer!

(a)  

18.

Factor the expression.

9u81-9u-81  

a)

9(u + 9)

b)

-9(u - 9)

c)

-9(u + 9)

d)

-90u

19.

Factor the expression.
Do not enter spaces in your answer.

(a)  

20.

Use the distributive property to expand the expression.
-2\left(-2b+6\right)

a)

-4b - 12

b)

-4b + 12

c)

4b - 12

d)

4b + 12