Free Printable Distribution and Combining Like Tetms

1.

Simplify the following expression:

-7x - 9x

a)

63x²

b)

-16x²

c)

-16x

d)

-15x

2.

Simplify the following expression:

-10x + 15 - 3x + 2

a)

-7x + 17

b)

-13x + 13

c)

-13x + 17

d)

-7x + 17

3.

Simplify the following expression:

3 + 5x + 8 - 2x

a)

-3x - 11

b)

3x + 11

c)

-3x -11

d)

8x + 6

4.

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

a)

-10+14c

b)

-25

c)

10-14c

d)

25c

5.

Simplify the following expression
9 + 5m - 4

a)

5m-5

b)

10m

c)

5m+5

d)

5m+13

6.

2(4k + 7)

a)

4k-9

b)

4K+9

c)

8k-14

d)

8k+14

7.

-3(3 - 8j)

a)

-6-11j

b)

9+24j

c)

-9+24j

d)

9-24j

8.

-8(6x + 3)

a)

48X+3

b)

-48X-3

c)

14x+3

d)

-48x-24

9.

-4(-4d - 5)

a)

-16d+20

b)

16+20

c)

16d+20

d)

16d-20

10.

2(4X-7)

a)

8x-14

b)

8x-7

c)

6x+7

d)

8x+14

11.

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

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

12.

A coefficient is __________.

a)

the variable

b)

a constant

c)

an exponent

d)

the number that comes before the variable

13.

How many terms does this expression have?
-18y + 7yz - 4z

a)

-18

b)

3

c)

7

d)

-4

14.

Simplify: x + 3x + 6x + x

a)

9x

b)

11x

c)

2x + 9x

d)

Can't be simplified

15.

Simplify: 7t - 3t + t - 3t

a)

2t

b)

8t - 6t

c)

14t

d)

Can't be simplified

16.

Simplify: 4q + 4t + 3q + t

a)

12tq

b)

3q + 4t

c)

7q + 5t

d)

Can't be simplified

17.

Simplify: 10w + 3d + 3w + d

a)

13w + 4d

b)

17wd

c)

13w + 3d

d)

Can't be simplified

18.

Simplify: m + m + m + m

a)

4m

b)

m⁴

c)

m

d)

Can't be simplified

19.

A constant term has ______.

a)

no exponents

b)

no variables

c)

no numbers

d)

no letters

20.

A variable can be _______?

a)

Any number

b)

Any letter of the alphabet

c)

only X

d)

only 1

21.

3x-5x

a)

2x

b)

8x

c)

-2x

d)

15x²

22.

Simplify by combining like terms.
m + 9 - 4m

a)

5m

b)

m + 5m

c)

-3m + 9

d)

4m

23.

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

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

24.

Simplify: 6x + 12x + 3 y

a)

21x

b)

18x + 3y

c)

72x + 3y

d)

6x + 15y

25.

Simplify: 15x + 19 + 2x - 4

a)

17x + 15

b)

17x + 23

c)

30x + 15

d)

13x + 15

26.

Which expression is equivalent to
v + v + v + v + v?

a)

5v

b)

v⁵

c)

v + 5

d)

v5

27.

-r -10r

a)

11r

b)

-11r

c)

9r

d)

-11

28.

Combine like terms
3x + 2x + 11y - 7y

a)

5x + 10y

b)

5x - 4y

c)

5x + 4y

d)

5x -10y

29.

Simplify: 4k + 6k - 3k + 3s - s

a)

13k + 3s

b)

7k + 2s

c)

7k + 4s

d)

Can't be simplified

30.

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

a)

-b + 2

b)

-b - 10

c)

7b - 10

d)

7b + 2

31.

Simplify: x + 3x + 6x + x

a)

9x

b)

11x

c)

2x + 9x

d)

Can't be simplified

32.

Simplify: 4q + 4t + 3q + t

a)

12tq

b)

3q + 4t

c)

7q + 5t

d)

Can't be simplified

33.

Simplify: 10w + 3d + 3w + d

a)

13w + 4d

b)

17wd

c)

13w + 3d

d)

Can't be simplified

34.

Simplify: m + m + m + m

a)

4m

b)

m⁴

c)

m

d)

Can't be simplified

35.

3 + 5x + 4

a)

5x ∙ 7

b)

12x

c)

35x

d)

5x + 7

36.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

37.

How many terms are in the expression
3x + 2y + z

a)

5

b)

2

c)

4

d)

3

38.

A number by itself with no variable attached is called a _____.

a)

coefficient

b)

constant

c)

variable

d)

term

39.

The number in front of a variable is the _____.

a)

term

b)

constant

c)

coefficient

d)

variable

40.

What is the coefficient in the algebraic expression?

a)

4x

b)

4

c)

5

d)

9

41.

Which expression is equivalent to

v + v + v + v + v?

a)

5v

b)

v⁵

c)

v + 5

42.

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

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

43.

Simplify by combining like terms:
4x² - 3x + 11 -2x

a)

4x² - 5x + 11

b)

11x + 11

c)

16x² - 5x + 11

d)

10x²

44.

Simplify: 8x² + 5x + 2y + x

a)

14x + 2y

b)

13x²+ 2y + x

c)

8x² + 6x + 2y

d)

8x² + 7xy + x

45.

Simplify and combine like terms: -6k +7k

a)

K

b)

-K

c)

13K

d)

-13K

46.

Which expression has 4 terms?

a)

3 + 5t - 24d

b)

15r + 10s - 12t + 4

c)

9stp - 3

d)

x/4 - 8p

47.

3x-5x

a)

2x

b)

8x

c)

-2x

d)

15x²

48.

Simplify: 6x + 12x + 3 y

a)

21x

b)

18x + 3y

c)

72x + 3y

d)

6x + 15y

49.

-r -10r

a)

11r

b)

-11r

c)

9r

d)

-11

50.

Like terms have the same _____ and the same _____.

a)

variables and numbers

b)

signs and numbers

c)

variables and exponents

d)

variables and signs

51.

8(8 + 4x) + 6

a)

38x + 64

b)

32x + 38

c)

32x + 70

d)

38x + 70

52.

2(3x + 8) + 5x

a)

8x + 16

b)

11x + 8

c)

6x + 16

d)

11x + 16

53.

5(2x + 7) + 4

a)

10x + 39

b)

7x + 16

c)

10x + 35

d)

10x + 11

54.

Simplify the following expression:

2x + 7(x - 5) - 4

a)

9x + 20

b)

9x + 31

c)

9x - 31

d)

9x - 39

55.

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

a)

43f - 7

b)

37f - 56

c)

43f - 56

d)

40f - 56 + 3f

56.

Distribute and then Combine Like Terms:

2(5x + 6) + 7

a)

10x + 12

b)

10x + 7

c)

10x + 19

d)

5x + 19

57.

Distribute and then Combine Like Terms:

-3(4x + 2) + 5x

a)

-12x - 6

b)

-7x - 6

c)

-12x + 6

d)

-7x + 2

Distribution and Combining Like Tetms

Total questions: 57

Worksheet time: 1hrs 28mins

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