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Worksheets

Distributive property/factoring/combining like terms

Total questions: 17

Worksheet time: 34mins

Name
Class
Date
1.

Rewrite the product as a sum using the distributive property:

7(u+4)

a)

7u+28

b)

7u-4

c)

7u+4

d)

35u

2.

Rewrite the product as a difference using the distributive property:

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

3.

Rewrite the product as a difference using the distributive property:

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

4.

Rewrite the product as a sum using the distributive property:

-9(2g - 3)

a)

18g + 27

b)

-18g + 27

c)

-18g - 27

d)

18g - 27

5.

Rewrite the difference as a product by factoring and using the GCF:

8x-10

a)

2(4x-5)

b)

6(2x-4)

c)

2(4x+5)

d)

8(x+5)

6.

Rewrite the sum as a product by factoring and using the GCF:

3x+27

a)

3(x+3)

b)

9(3x+9)

c)

3(x-3)

d)

3(x+9)

7.

Rewrite the sum as a product by factoring and using the GCF:

16x+32

a)

8(2x+4)

b)

16(x+2)

c)

7(8x+32)

d)

2(8x+16)

8.

Rewrite the difference as a product by factoring and using the GCF:

20y - 5

a)

4(5y - 1)

b)

5(4y - 1)

c)

20(y - 5)

d)

y(20 - 5)

9.

Simplify the expression by combining like terms:

v + v + v + v + v

a)

5v

b)

v5

c)

v + 5

d)

v5

10.

Simplify the expression by combining like terms:

d + d + d + 3 + 2

a)

3d + 5

b)

d + 5

c)

2d + 7

d)

3d + 4

11.

Simplify the expression by combining like terms:

-6k + 7k

a)

k

b)

-k

c)

12k

d)

-12k

12.

Simplify the expression by combining like terms:

-r -10r

a)

11r

b)

-11r

c)

9r

d)

-11

13.

Simplify the expression by combining like terms:

5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

14.

Simplify the expression by combining like terms:

-2x + 11 + 6x

a)

8x+11

b)

4x +11

c)

4x

d)

15x

15.

Rewrite the product as a sum using the distributive property:

5(a + 6)?

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

16.

Rewrite the product as a difference using the distributive property:

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

17.

Rewrite the sum as a product by factoring and using the GCF:

16ab + 24b?

a)

8b(2a + 3)

b)

8ab(2 + 3)

c)

8a(2b + 3)

d)

8(2a + 3b)