Free Printable Distribution and Combining Like terms

Worksheets

Distribution and Combining Like terms

Total questions: 61

Worksheet time: 3hrs 35mins

Name

Class

Date

2(3x+8) + 5x

8x + 16

6x + 16

11x + 16

11x + 8

5(2x + 7) + 4

10x + 39

10x + 35

7x + 16

10x + 11

4(5x + 4) + 3x

12x + 8

23x + 16

20x + 16

9x + 8

3(7x + 9) + 2x + 5

23x + 27

12x + 17

12x + 32

23x + 32

2(3x + 4) + 6 + 7x

12x + 12

13x + 14

6x + 14

13x + 8

8 + 2(6x + 9)

12x + 18

8x + 19

12x + 26

60x + 90

4x + 6(7x + 4)

46x + 24

42x + 24

17x + 10

51x + 4

3(x + 8) + 5x

6x + 24

7x + 11

8x + 24

9x + 11

7(x + 4) + 10

8x + 21

7x + 14

8x + 40

7x + 38

10.

12 + 7(x + 5) + 8x

16x + 35

15x + 35

15x + 47

16x + 47

11.

Simplify the following expression:

-7x - 9x

63x²

-16x²

-16x

-15x

12.

Simplify the following expression:

-10x + 15 - 3x + 2

-7x + 17

-13x + 13

-13x + 17

-7x + 17

13.

Simplify the following expression:

3 + 5x + 8 - 2x

-3x - 11

3x + 11

-3x -11

8x + 6

14.

Simplify the following expression
7 - 8c + 3 - 6c

-10+14c

-25

10-14c

25c

15.

Simplify the following expression
9 + 5m - 4

5m-5

10m

5m+5

5m+13

16.

2(4k + 7)

4k-9

4K+9

8k-14

8k+14

17.

-3(3 - 8j)

-6-11j

9+24j

-9+24j

9-24j

18.

-8(6x + 3)

48X+3

-48X-3

14x+3

-48x-24

19.

-4(-4d - 5)

-16d+20

16+20

16d+20

16d-20

20.

2(4X-7)

8x-14

8x-7

6x+7

8x+14

21.

Use the distributive property to write an equivalent expression.
3(x + 4)

3x + 4

3x + 7

3x + 12

x + 7

22.

Use the distributive property to write an equivalent expression.
-8(z - 5)

-8z - 40

-8z + 40

-8z - 13

23.

Expand using the distributive property

-2(3x + 4y + 1)

-6x + 8y + 2

-6x - 8y + 2

-6x - 8y - 1

-6x - 8y - 2

24.

Expand using the distributive property

5(2x + 3y + 2)

10x + 3y + 2

10x + 15y + 2

10x + 15y + 10

10x + 15y + 7

25.

-2(3m + 9)

-6m + 7

-6m - 7

-6m + 18

-6m - 18

26.

8(x + 5)

8x + 13

8x + 5

8x + 40

13x

27.

Simplify by combining like terms:
5a + 2b - 3a + 4

8a + 2b + 4

2a + 2b + 4

8ab

4ab + 4

28.

Simplify the following expression by combining like terms:
3(2x - 4) + 6x - 1

12x - 13

12x - 5

11x - 2

-x

29.

Simplify the following expression:
-10x + 15 - 3x + 2

13x² + 17

-13x² + 13

-13x + 17

-7x + 17

30.

Simplify the following expression:
-10x - 9x + 1

-19x + 1

-19x² + 1

-10x - 8

-19x - 1

31.

Simplify:
4(8x + 1) - 6(1 - 8x)

-80x - 2

80x + 2

-80x + 2

80x - 2

32.

Distribute the following:
10(z - 6)

10z - 60

10z + 60

-10z - 60

-10z + 60

33.

8y+5

3y+3

7y+5

7y+4

34.

24z+8

22z+6

23z+8

24z+2

35.

Which of the following is equivalent to 8(5f - 7) + 3f ?

43f - 7

-13f

43f - 56

40f -7 + 3f

36.

2(4X-7)

8x-14

8x-7

6x+7

8x+14

37.

7(y+9)

7+9

7y+63

-7y-63
-7y+63

7x+63

38.

2(4 + 9w)

8+9w

2+9

8+18w

2+9w

39.

-4(-4d - 5)

-16d+20

16+20

16d+20

16s-20

40.

-8(6x + 3)

48X+3

-48X-3

14x+3

-48x-24

41.

-3(3 - 8j)

-6-11j

9+24j

-9+24j

9-24j

42.

(-5f + 8)4

-20f+32

20f+32

-20f-32

-5f+12

43.

Simplify the following expression:
3 + 5x + 8 - 2x

-3x² - 11

3x² + 11

11 - 3x

11 + 3x

44.

Simplify by combining like terms:
5a + 2b - 3a + 4

8a + 2b + 4

2a + 2b + 4

8ab

4ab + 4

45.

Combine like terms
3x + 2x + 3y - 7y

5x + 10y

5x + 4y

5x - 4y

5x -10y

46.

Simplify the expression: 2x + 1 + 7x

10x

9x + 1

9 + 1x

47.

Simplify the expression: 3x + 2x

48.

What would be my first step? 3 + 4 x 6 - 4 =

addition

multiplication

subtraction

exponents

49.

5x + 3x - 9

7x - 9

17x

8x - 9

-x

50.

Simplify the expression:
6 + 2(7x - 3)

12 + 7x

14x

14x + 3

9 + 7x

51.

Simplify the expression: 7+3(1 - 2x)

21 - 6x

10 - 2x

10 - 20x

10 - 6x

52.

Simplify the following expression:
-6x + 4(-x - 3)

-2x - 12

10x + 12

-10x - 12

-2x + 12

53.

Simplify
-2x - 4(4x - 8)

-16x - 2

-18x + 32

18x - 32

-16x + 2

54.

Simplify the following expression:
-6x + 4(-x - 3)

-2x - 12

10x + 12

-10x - 12

-2x + 12

55.

Simplify:
3x - (x - 6) - 12

2x - 6

4x - 18

2x + 6

4x - 6

56.

In order for terms to be "like", they need to have the __________________

same variable only

same exponent only

same variable and same exponent

either same variable or same exponent

57.

When distributing a number through ( ), it needs to multiply to __________________

just the first term inside the ( )

just the last term inside the ( )

every term inside the ( )

any two terms inside the ( )

58.

What's the FIRST step to solving the equation below:

3\left(2x-5\right)=21

add the 5

divide by the 2

distribute the 3

subtract the 21

59.

Solve the equation below. Distribute FIRST and then combine like terms:

3 (4 – 2x) + 4x = 2

x = 5

x = 1

x = –1

x = –5

60.

Solve for x. Distribute then Combine Like Terms:

3(2x – 5) – 4x = –19

x = –2

x = 2

x = 10

x = –11

61.

Solve for x by combining like terms:

2x + 9 + 4x + 3 = 5 + x + 12

x = 1

x = 3

x = –2

x = 4

Reset

Distribution and Combining Like terms

Total questions: 61

Worksheet time: 3hrs 35mins

Similar Resources on Wayground