Free Printable Combine like terms & distribute

1.

What are like terms?

a)

Terms with different variables

b)

Terms with the same variables

c)

Terms with no variables

2.

How many terms does the following expression have: 3x-9+4+2x

a)

1

b)

2

c)

3

d)

4

3.

Combine the like terms in the expression: 4t-9+3t

a)

7t-9

b)

43t-9

c)

There are no like terms

4.

Combine the like terms in the expression: 4z+2z-8

a)

There are no like terms

b)

6z-8

c)

8z-8

5.

Combine the like terms in the expression: 5y+2+3y+6

a)

There are no like terms

b)

8y+2+6

c)

53y+12

d)

8y+8

6.

Combine the like terms in the expression: 12c+2+7c

a)

There are no like terms

b)

19c+2

c)

5c+2

d)

19c

7.

Combine the like terms in the expression: 4+9g-3g

a)

4+6g

b)

There are no like terms

c)

13g-3g

d)

4+12g

8.

Combine the like terms in the expression: 3r+2r-8t

a)

There are no like terms

b)

5r-8t

c)

13rt

9.

Combine the like terms in the expression: x-8+4x

a)

3x-8

b)

4x-8

c)

There are no like terms

d)

5x-8

10.

Combine the like terms in the expression: 5b+9+3b

a)

There are no like terms

b)

8b+9

c)

2b+9

11.

Combine the like terms in the expression: 12x+2+3x

a)

9x+2

b)

15x+2

c)

There are no like terms

d)

13x

12.

Combine the like terms in the expression: 4d+2d-2

a)

6d-2

b)

d

c)

There are no like terms

d)

4d

13.

Combine the like terms in the expression: 3f+d+4f

(a)

14.

5x + 3y + 5 + 4x + 3y + y + 8

a)

9x + 7y + 13

b)

6x + 2y + 2

c)

25x + 2y + 3

d)

x + 7y + 12

15.

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

a)

-3x² - 11

b)

3x² + 11

c)

11 - 3x

d)

11 + 3x

16.

Simplify the following expression:
(5 + 4x) + (2x - 8)

a)

13 + 6x

b)

6x - 3

c)

6x - 13

d)

6x + 3

17.

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

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

18.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

19.

Simplify the expression: 3x + 2x

a)

5x

b)

x

c)

6x

d)

5

20.

What does 3² mean?

a)

3 x 2

b)

3 x 3

c)

2 x 2 x 2

21.

7 - 5m - 10m

a)

7 + 15m

b)

7 + 5m

c)

7 - 5m

d)

7 - 15m

22.

-3x + 11y - 4x

a)

7x + 11y

b)

-7x + 11y

c)

7x - 11y

d)

4xy

23.

5a + 2b - 7b + 4a

a)

7b - 3a

b)

9a - 5b

c)

4ab

d)

12a + 6b

24.

-9n + 12n + 7

a)

28n

b)

10n

c)

21n + 7

d)

3n + 7

25.

8y + 5 - 2y

a)

6y + 5

b)

11y

c)

10y + 5

d)

15y

26.

5x + 3x - 9

a)

7x - 9

b)

17x

c)

8x - 9

d)

-x

27.

4 $-$ 3 $+$ 2 + 5 $\cdot$ 3

a)

40

b)

17

c)

24

d)

18

28.

$6\times5$ $-$ 4 + 2 ÷ 2

a)

60

b)

24

c)

27

d)

12

29.

$5^2-10\div2\times4$

a)

4

b)

5

c)

80

d)

160

30.

$8^2-7^2$

a)

5

b)

2

c)

15

d)

1

31.

$32+42-4\times2$

a)

The correct answer is not given.

b)

69

c)

64

d)

66

32.

6³– 10 ÷ 5

a)

1.6

b)

200

c)

41.2

d)

214

33.

2 $\cdot$ 33 + 7

a)

72

b)

73

c)

235

d)

77

34.

(7 + 41) ÷ 2 – 15

a)

19

b)

9

c)

25

d)

3

35.

18 ÷ 2 $\cdot$ 3 – 17

a)

206

b)

100

c)

10

d)

5

36.

What is the first operation used in solving this problem:

2 ⋅ (3 + 8 ÷ 4)²

a)

multiplication

b)

addition

c)

division

d)

subtraction

37.

Which operation would you do first?

(12 + 10) ÷ 10 · 14 - 6

a)

Division

b)

Multiplication

c)

Addition (parentheses)

d)

Subtraction

38.

190 - 52 $\cdot$ 3

a)

34

b)

114

c)

144

39.

Find and explain the error.
5 - 3 + 2
5 - 5
0

a)

There is no error.

b)

Addition was done first and you should have subtracted first

c)

There is a subtraction error

40.

2(1.5 + 2.5)

a)

8

b)

5.5

c)

6

41.

$15\div3\times2+9\div3$

a)

5.5

b)

13

c)

3

42.

$62-10+4\div2\times2$

a)

55

b)

56

c)

48

d)

47

43.

Why is Order of Operations important?

a)

It's not important, I can solve in any order I want to and get the correct answer..

b)

Without order of operations there would not be one correct answer.

c)

What is Order of Operations?

d)

You have to do parentheses, exponent, multiplication then division, and addition then subtraction... just the way it is.

44.

2 (x + 4)

a)

2x + 4

b)

2x + 8

c)

2x + 6

d)

10x

45.

-3 (a + 3)

a)

3a - 9

b)

-3a + 9

c)

3a + 9

d)

-3a - 9

46.

6 (x + y + 7)

a)

6x + 6y + 42

b)

12xy + 42

c)

6x + 6y + 7

d)

6x6y + 42

47.

-10 (-3x - 5y)

a)

30x - 50y

b)

-30x - 50y

c)

80xy

d)

30x + 50y

48.

$\frac{1}{2}(t+8)$

a)

$\frac{1t}{2t}+\frac{8}{2}$

b)

$\frac{1}{2}t+8$

c)

$\frac{1}{2}t+4$

d)

$\frac{1}{2}t+\frac{8}{16}$

49.

9 (2x + 5x)

a)

90x

b)

18x + 45

c)

18 + 45x

d)

63x

50.

-4(8r + 3)

a)

-32r - 12

b)

32r - 12

c)

-32r + 12

d)

32r + 12

51.

a)

-24x+36

b)

24x+36

c)

-24x+32

d)

24x-32

52.

a)

50x+25

b)

-50x-25

c)

-50x+25

d)

50x-5

53.

a)

-45x+72

b)

45x+72

c)

-45x-72

d)

45x-72

54.

4(-p - 6)

a)

4p - 24

b)

4p + 24

c)

-4p + 24

d)

-4p - 24

55.

2(1+10v)

a)

2+12v

b)

2+20v

c)

2+9v

56.

3(4+3r)

a)

12+9r

b)

7+6r

c)

12+5r

57.

4(8n+2)

a)

4n+2

b)

12n+6

c)

32n+8

58.

6(7k+11)

a)

7k+11

b)

42k+66

c)

13k+16

59.

10(2a+1)

a)

20a+10

b)

12a+10

c)

10a+1

60.

4(k+7)

a)

4k+7

b)

4k+11

c)

4k+28

61.

5(4j+2)

a)

20j+10

b)

5j+10

c)

9j+7

Combine like terms & distribute

Total questions: 61

Worksheet time: 5hrs 5mins

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