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Worksheets

Distributing, Factoring, and Combining Like Terms

Total questions: 25

Worksheet time: 57mins

Name
Class
Date
1.

Factor the following expression: 3 + 9

a)

3 (1 + 9)

b)

3 (1 + 3)

c)

3 + 9

d)

3 ( 3 + 3)

2.

Factor the following expression: 24 + 16w

a)

4 (7 + 4w)

b)

8 (3 + 2w)

c)

4 (6w + 2)

d)

24 (24 - 16w)

3.

Factor the following expression: 2x + 144

a)

8 (16x + 1152)

b)

2 (2x + 144)

c)

2 (x + 72)

d)

2 (x + 144)

4.

Factor the following expression: 35y + 21y

a)

3 (5y + 21y)

b)

3y (5 + 7)

c)

7y (5 + 3)

d)

7 (5y + 21y)

5.

Factor the following expression: 20s + 200s

a)

20s (1 + 10)

b)

20 (s + 10)

c)

2 (10s + 100s)

d)

2 (10 + 100)

6.

Factor the following expression: 14r - 8

a)

2 (7r - 3)

b)

2 (7r - 4)

c)

7 (2r - 4)

d)

4 (2r - 7)

7.

Combine like terms to simplify the expression: 3x + 2x

a)

5x

b)

x

c)

6x

d)

5

8.

Combine like terms to simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

9.

Combine like terms to simplify the expression: 3r - 2r + 5

a)

5r + 5

b)

r + 5

c)

5r - 5

d)

5

10.

Combine like terms to simplify the expression: 7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

11.

Combine like terms to simplify the expression: 8 + 5x - 3 - 2x

a)

-3x2 - 11

b)

3x2 + 5

c)

11 - 3x

d)

5 + 3x

12.

Combine like terms to simplify the expression: 3x + 3y - 7y + 2x

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

13.

Combine like terms to simplify the expression: 5x + 3y + 5 + 4x + 3y + y + 8

a)

9x + 7y + 13

b)

6x + 2y + 2

c)

25x + 2y + 3

d)

x + 7y + 12

14.

Use the distributive property on this expression: 5 (x + 2)

a)

5x + 10

b)

5x + 7

c)

4x + 7

d)

5x + 3

15.

Use the distributive property on this expression: 3 (-x + 7)

a)

-3x - 21

b)

-3x + 21

c)

3x + 21

d)

3x - 21

16.

Use the distributive property on this expression: -2 (w + 8)

a)

-2w - 16

b)

2w - 16

c)

-2w + 16

d)

2w + 16

17.

Use the distributive property on this expression: -3 (x + w + 5)

a)

-3x - 3w - 15

b)

-3x + w + 5

c)

3x - 3w - 15

d)

-3x + w +15

18.

Use the distributive property on this expression: (3a - 4b) 2

a)

6a - 4b

b)

3a - 4b

c)

6a - 8b

d)

3a - 8b

19.

Use the distributive property on this expression: -5 (2 - 7n)

a)

52 - 7n

b)

-10 - 7n

c)

-10 + 35n

d)

10 - 35n

20.

Use the distributive property on this expression: -4 (c - 5 + 2g)

a)

-4c + 20 - 8g

b)

-4c - 20 - 8g

c)

4c - 20 + 8g

d)

c + 20 - 8g

21.

Use the distributive property and then combine like terms to simplify this expression: 3 (9 + 2d) + 4d

a)

18d + 10d

b)

18d - 10d

c)

27 + 10d

d)

37d

22.

Use the distributive property and then combine like terms to simplify this expression: (2x + 3) + 2 (x - 5)

a)

3x - 2

b)

4x - 7

c)

4x - 2

d)

2x - 2

23.

Use the distributive property and then combine like terms to simplify this expression: 3 (x + 4) + (3x + 9)

a)

6x + 21

b)

4x + 5

c)

6x + 13

d)

9x + 21

24.

Solve this equation:

4 = 2 (x + 3)

a)

x = 1/2

b)

x = 7/2

c)

x = -1

d)

x = 5

25.

Solve this equation:

-2x - 7 + 3x = 10

a)

x = -2

b)

x = 3

c)

x = 10

d)

x = 17