Free Printable Review of Expressions

1.

the sum of a number and 8

a)

x + 8

b)

x - 8

c)

8x

d)

x ÷ 8

2.

the product of a number and 11

a)

x + 11

b)

x - 11

c)

11x

d)

x ÷ 11

3.

a number take away 3

a)

x + 3

b)

x - 3

c)

3x

d)

x ÷ 3

4.

the difference of a number and 7

a)

x + 7

b)

x - 7

c)

7x

d)

x ÷ 7

5.

4 less than a number x

a)

x - 4

b)

4 - x

c)

x ÷ 4

d)

4 ÷ x

6.

twice a number, increased by 5

a)

2(2x) + 5

b)

5(2x)

c)

2x + 5

d)

2(x+5)

7.

3 times the difference of a number and 4

a)

3(x ÷ 4)

b)

3(x - 4)

c)

3 - 4x

d)

3x - 4

8.

the quotient of a number and 6

a)

x ÷ 6

b)

6 ÷ x

c)

x - 6

d)

6x

9.

15 subtracted from a number

a)

15 ÷ x

b)

-15x

c)

15 - x

d)

x - 15

10.

twice the sum of a number and 10

a)

2x + 10

b)

2(x+10)

c)

(x+10) ÷ 2

d)

2(10x)

11.

Simplify this expression:

-7w + (-6) + 5 + (-9w)

a)

-2w - 1

b)

-16w - 11

c)

-16w - 1

d)

-2w + 11

12.

Find the simplified equivalent expression:

2.1 - 3.7c + 1.9c - 1.4

a)

1.8c + 0.7

b)

3.5 - 5.6c

c)

4.9c

d)

0.7 - 1.8c

13.

Simplify the expression:

-3c + 5r -7r + 8c + 23 - 3r -12

a)

5c -5r + 11

b)

5c - 15r - 35

c)

-5c + 5r + 35

d)

11c -15r + 11

14.

CHOOSE ALL ANSWERS THAT ARE CORRECT (SELECT ALL)

Which pairs are like terms in the expression below?

²/₃y + 5y - ¹/₅x + 2 - ³/_4x +7

a)

²/₃y and 5y

b)

- ¹/₅x and ²/₃y

c)

2 and 7

d)

7 and 5y

e)

- ³/_4x and - ¹/₅x

15.

Simplify this expression:

4.6x - 5.3x + 10.2y + 9 - 7.6

a)

0.7x + 10.2y +16.6

b)

-9.9x + (-10.2y) + 1.4

c)

-0.7x +10.2y 16.6

d)

-0.7x + 10.2y + 1.4

16.

Simplify this expression

-6x + 7y + (-5x) - 9 - 5y

a)

-9xy -9

b)

-11x + 2y -9

c)

-1x + 2y -9

d)

-11x - 2y -9

17.

Expand the expression:

5 ( -2x + 3)

a)

-10x + 15

b)

10x - 15

c)

3x + 8

d)

-10x + 3

18.

Expand the expressions using the distributive property:

-2( 2.5x - 6)

a)

-0.5x + 12

b)

5x -12

c)

-5x +12

d)

-5x - 6

19.

0.75(4y - 9)

a)

3y - 6.75

b)

-3y + 6.75

c)

4y - 9.75

d)

3y + 6.75

20.

¹/₂(8a - b +16)

a)

4a + ¹/₂b + 16

b)

8.5a + ¹/₂b + 16

c)

4a - ¹/₂b + 8

d)

4a + ¹/₂b - 8

21.

Use distributive property to expand this expression:

2w( - 4.5 - 2.7x)

a)

-9w - 2.7x

b)

2w - 4.5 - 2.7x

c)

-9w - 5.4x

d)

-9w - 5.4wx

22.

Using the GCF, what is the factored form of 18f - 45

a)

3(6f - 15)

b)

9(2f - 5)

c)

6(3f - 5)

d)

18(f - 3.5)

23.

Using the GCF, what is the factored form of -2x + 12xy

a)

4( -2x + 3xy)

b)

4x (-2 + 3y)

c)

2x(-1 + 6y)

d)

2(-1x + 6xy)

24.

Carol factored 28x + 16xy as 4(7x + 4xy). Is she correct? Explain.

a)

Yes, 4 is the GCF.

b)

No, 8 is the GCF.

c)

No, 4x is the GCF.

d)

No, 4xy is the GCF.

25.

Factor the expression:

-15x - 35xy

a)

5( -3x + 7xy)

b)

15( -x - 3y)

c)

-5x(3 + 7y)

d)

5x(3x + 7y)

26.

Select all expressions where the GCF is 4x.

a)

4x + 12xy - 16

b)

-8x + 24xy - 36xyz

c)

24x - 32xy + (-4yx)

d)

-4x + 8y - 12z

27.

Use the distributive property to find an equivalent expression of: 5(7m + 9)

a)

35 + 45

b)

35m + 45

c)

7m + 45

d)

80m

28.

Use the distributive property to find an equivalent expression of: 4(b + 6n)

a)

4b + 24n

b)

b + 6n

c)

4 + 6n

d)

28bn

29.

Combine the like terms to create an equivalent expression of:
6m + 4m + 3c + 2c

a)

11m + 6c

b)

10m + 3c + 5c

c)

10m + 5c

d)

15mc

30.

Combine the like terms to create an equivalent expression of:
3d + 4g - 2d + 7g + 5

a)

5d + 11g + 5

b)

5d - 11g + 5

c)

d + 11g +5

d)

d + 16g

31.

Use the distributive property and combine the like terms to create an equivalent expression of:
4(3m + 5) + 5

a)

12m + 25

b)

12m + 40

c)

3m + 40

d)

3m + 25

32.

Use the distributive property and combine the like terms to create an equivalent expression of:
8c + 9(c + 2)

a)

17c + 16

b)

8c + 16

c)

17c + 2

d)

17c + 18

33.

Which is an equivalent expression for 8(2x+ 3)

a)

8x + 24

b)

8x + 16

c)

16x + 3

d)

16x + 24

34.

Which is an equivalent expression(s) for 4x + 8

a)

4(x) + 4(2)

b)

4(x + 2)

c)

4(2x + 2)

d)

2(x + 4)

35.

Find an equivalent expression(s) for

7y + y + 2y

a)

7y + 3y

b)

2y + 9y

c)

10y

d)

9y

36.

Find a(n) equivalent expression(s) for

64y - 40

a)

5(8y - 8)

b)

64y-5

c)

8(8y - 5)

d)

5(4y - 8)

37.

Find a(n) equivalent expression(s) for

6( 3 + 5y)

a)

30y - 18

b)

18 + 30y

c)

18 - 30y

d)

(6x3) + (5y)

38.

Find a(n) equivalent expression(s) for

14 + 9y - 5 - y

a)

9 + 9y - y

b)

8 + 9y

c)

9 - 8y

d)

9 + 8y

39.

Is 5(2n + 8) equivalent to 10n + 40?

a)

Yes

b)

No

40.

Is 9v + 21 equivalent to 3(3v + 7v)?

a)

Yes

b)

No

41.

What is equivalent to x + x + x +3x

a)

3x + 2x

b)

6x

c)

3x³

d)

3x + x³

42.

What is an equivalent expression to 4(3x + 2)

a)

8x + 12

b)

12x +2

c)

12x + 8

d)

8x - 12

43.

What is equivalent to 5(4 - 3x)?

a)

20 + 15x

b)

20 - 15x

c)

20x - 15x

d)

20x - 15

44.

The number before a variable is the _____.

a)

term

b)

constant

c)

coefficient

d)

variable

45.

A letter that represents a number is called a _____.

a)

variable

b)

coefficient

c)

constant

d)

term

46.

A number with no variable attached is called a _____.

a)

coefficient

b)

constant

c)

variable

d)

term

47.

What do you call each part of an expression that is separated by a + or a -?

a)

coefficient

b)

constant

c)

variable

d)

term

48.

What is the coefficient in the expression: 94a+2?

a)

2

b)

4

c)

94

d)

94a

49.

What is the coefficient of x?
8 + 5x - y

a)

8

b)

1

c)

5

d)

-5

50.

What is the coefficient in this expression?
3x+4-2

a)

x

b)

4

c)

3x

d)

3

51.

Find the perimeter of the rectangle.

a)

3x + 7

b)

6x + 14

c)

18x + 6

d)

18x + 6

52.

Find the perimeter of the rectangle

a)

2x - 2

b)

6x - 15

c)

4x - 4

d)

6x - 15

53.

Find the perimeter of the rectangle.

a)

16x + 20

b)

8x + 10

c)

80x

d)

18x

54.

Find the perimeter of the rectangle.

a)

2x + 4

b)

x + 2

c)

4x - 8

d)

6x

55.

Find the perimeter of the rectangle.

a)

3x² + 6x

b)

4x + 6

c)

8x + 12

d)

6x + 12

56.

Find the perimeter of the rectangle.

a)

20x - 4

b)

10x - 2

c)

9x² - 2x

d)

18x - 4

57.

Find the perimeter of the rectangle.

a)

5x + 5

b)

10x + 10

c)

20x + 4

d)

20x

58.

Find the area of the rectangle.

a)

6x + 14

b)

18x + 6

c)

3x + 7

d)

9x + 7

59.

Find the area of the rectangle.

a)

6x - 15

b)

4x - 4

c)

2x - 2

d)

5x - 2

60.

Find the area of the rectangle.

a)

80x

b)

18x

c)

8x + 10

d)

16x + 20

61.

Find the area of the rectangle.

a)

2x + 4

b)

x + 2

c)

8x - 16

d)

4x - 8

62.

Find the area of the rectangle.

a)

20x + 5

b)

20x + 4

c)

5x + 5

d)

10x + 10

63.

(3x + 5) + (2x + 1)

a)

5x + 5

b)

5x + 6

c)

x + 4

d)

6x + 5

64.

(-m + 3) + (7m – 1)

a)

-8m + 2

b)

6m + 2

c)

-8m + 4

d)

-6m + 2

65.

Find the sum: (3d - 5) + (d + 3)

a)

4d + 8

b)

2d + 8

c)

2d + -2

d)

4d + -2

66.

Find the sum: (3w - 8) + (-6w - 4)

a)

-3w + 12

b)

9w + 12

c)

-3w + -12

d)

-9w + -12

67.

Find the sum: (n + 7) + (n - 14)

a)

n + 7

b)

2n + 7

c)

2n + -7

d)

n + -7

68.

Find the sum: (6 - k) + (4k + 1)

a)

5k + 7

b)

3k + 7

c)

5k + 5

d)

3k + 5

69.

Find the sum:
(7k + 9) + (4k - 3)

a)

3k + 6

b)

11k + 6

c)

-11k + 6

d)

- 3k + 6

70.

Find the sum (−x + 8) + (−5x − 1).

a)

−6x + 7

b)

−4x + 7

c)

−6x + −8

d)

−6x + 8

71.

Find the Sum:

(5 - t) + (3t +2)

a)

2t + 7

b)

2t + 3

c)

-2t + 3

d)

-2t + 7

72.

Find the sum (−x + 8) + (−5x − 1).

a)

−6x + 7

b)

−4x + 7

c)

−6x + −8

d)

−6x + 8

73.

Rewrite the expression without parenthesis:

$\left(3x+6\right)-\left(2x-3\right)$

a)

3x + 6 - 2x + 3

b)

3x + 6 - 2x - 3

c)

3x + 6 + 2x - 3

d)

3x + 6 + 2x + 3

74.

Rewrite the expression without parenthesis: $\left(3x+6\right)-\left(4x+3\right)$

a)

3x + 6 + 4x + 3

b)

3x + 6 + 4x - 3

c)

3x + 6 - 4x + 3

d)

3x + 6 - 4x - 3

75.

Rewrite the expression without parenthesis: $\left(x+6\right)-\left(x-3\right)$

a)

x + 6 - x - 3

b)

x + 6 + x - 3

c)

x + 6 - x + 3

d)

x + 6 + x + 3

76.

Rewrite the expression without parenthesis: $\left(x+6\right)-\left(-2x-3\right)$

a)

x + 6 - 2x + 3

b)

x + 6 - 2x - 3

c)

x + 6 + 2x + 3

d)

x + 6 + 2x - 3

77.

Rewrite the expression without parenthesis:

$\left(x+6\right)-\left(-3x+2\right)$

a)

x + 6 + 3x - 2

b)

x + 6 - 3x + 2

c)

x + 6 + 3x + 2

d)

x + 6 - 3x - 2

78.

Rewrite the expression without parenthesis: $\left(x+6\right)-\left(-2x+2\right)$

a)

x + 6 - 2x - 2

b)

x + 6 - 2x + 2

c)

x + 6 + 2x - 2

d)

x + 6 + 2x + 2

79.

Find the difference:

(p + 5q) – (p + 2q)

a)

3q

b)

2p + 7q

c)

7q

d)

2p + 3q

80.

Find the difference:

(6x + 3y + 4) – (x + y – 5)

a)

7x + 4y + 9

b)

5x + 2y - 1

c)

5x + 2y + 1

d)

5x + 2y + 9

81.

Find the difference:

(x + 9y + 5) – (-8x + 4y – 7)

a)

-7x - 13y + 2

b)

9x - 5y - 12

c)

-7x + 13y - 2

d)

9x + 5y + 12

82.

Find the difference:

(-11a + 7) – (11a – 7)

a)

0

b)

-22a + 14

c)

14

d)

22a

83.

Find the difference:

(8 - u) - (5u + 1)

a)

-6u + 9

b)

3u

c)

4u + 7

d)

4u - 7

84.

Find the difference:
(2x + 7) - 3(5x - 4)

a)

-17x - 11

b)

13x - 11

c)

17x + 19

d)

-13x + 19

85.

Find the difference:

(4y - 8) - (3y - 9)

a)

y + 1

b)

7y + 17

c)

y - 1

d)

7y - 17

86.

Find the difference:

(2x + 5) − (x + 4)

a)

3x - 1

b)

3x + 9

c)

x + 1

d)

x + 9

87.

Find the difference:

(-5x + 6) - (-2x - 7)

a)

-3x - 1

b)

-7x + 13

c)

-7x - 1

d)

-3x + 13

88.

Find the difference:

(6x + 3y + 4) – (8x + 9y)

a)

-2x - 6y + 4

b)

14x + 12y + 4

c)

-2x + 6y + 4

d)

14x - 12y + 4

89.

Find the difference:
2(x - 2) - 3(x - 4)

a)

5x - 16

b)

-x - 8

c)

5x + 16

d)

-x + 8

Review of Expressions

Total questions: 89

Worksheet time: 3hrs 58mins

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