Free Printable Equations Test Review

1.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

2.

Solve for w:
-6w + 1 = -11

a)

2

b)

1.2

c)

12

d)

-2

3.

Solve for a

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

4.

Level 3

Identify the steps to solve for b

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

5.

5x-1=19

a)

$x=4$

b)

$x=10$

c)

$x=5$

d)

$x=15$

6.

$\frac{x}{4}+8=10$

a)

$x=-4$

b)

$x=-8$

c)

$x=8$

d)

$x=16$

7.

20 = 2 - a

a)

a= 18

b)

a= -18

c)

a= -10

d)

a= 12

8.

The steps in solving 5b - 6 = 24 are:

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

9.

Solve for y.
-2y=20

a)

y=-10

b)

y=2

c)

y=-20

d)

y=15

10.

-5z+5=-30

a)

z=7

b)

z=6

c)

z=5

d)

z=35

11.

13= 5m -2

a)

-3

b)

2

c)

3

d)

-2

12.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

13.

-4x+1=21

a)

x=120

b)

x=5

c)

x=30

d)

x=-5

14.

6p - 5 =13

a)

12

b)

15

c)

3

d)

-3

15.

2 (x + 4)

a)

2x + 4

b)

2x + 8

c)

2x + 6

d)

10x

16.

-3 (a + 3)

a)

3a - 9

b)

-3a + 9

c)

3a + 9

d)

-3a - 9

17.

(x + 10) (-2)

a)

-2x + 20

b)

-2x - 20

c)

2x - 20

d)

2x + 20

18.

6 (x + y + 7)

a)

6x + 6y + 42

b)

12xy + 42

c)

6x + 6y + 7

d)

6x6y + 42

19.

-10 (-3x - 5y)

a)

30x - 50y

b)

-30x - 50y

c)

80xy

d)

30x + 50y

20.

(-n + 3) (-8)

a)

n - 5

b)

n + 24

c)

8n - 24

d)

-8n - 24

21.

(b - 7) (-7)

a)

-7b + 49

b)

7b - 49

c)

b - 14

d)

-7b - 14

22.

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

a)

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

b)

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

c)

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

d)

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

23.

$-\frac{1}{3}\left(y\ -\ 9\right)$

a)

$\frac{1}{3}y+3$

b)

$-\frac{1}{3}y+3$

c)

$-\frac{1}{3}y-3$

d)

$-\frac{1}{3}y+9$

24.

0.5 (u - 6)

a)

0.5u + 6

b)

0.5u + 3

c)

0.5u - 6

d)

0.5u - 3

25.

(p - 12) (-0.25)

a)

-0.25p - 3

b)

0.25p + 3

c)

-0.25p + 3

d)

0.25p - 3

26.

3x (9 + 2y - 3z)

a)

27x + 6xy - 9xz

b)

24xyz

c)

27 + 6y - 9z

d)

27x + 6x - 9x

27.

9 (2x + 5x)

a)

90x

b)

18x + 45

c)

18 + 45x

d)

63x

28.

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

29.

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

30.

(b + 8)5

a)

b + 40

b)

5b - 40

c)

5b + 40

d)

5b + 8

31.

(x - 6)4

a)

24 - 4x

b)

4x - 6

c)

x - 24

d)

4x - 24

32.

-(8 - m)

a)

m - 8

b)

-8 - m

c)

8 - m

d)

m + 8

33.

-9(2g - 3)

a)

18g + 27

b)

-18g + 27

c)

-18g - 27

d)

18g - 27

34.

-4(k - 7)

a)

-4k + 28

b)

-4k - 28

c)

4k + 28

d)

4k - 28

35.

4(-p - 6)

a)

4p - 24

b)

4p + 24

c)

-4p + 24

d)

-4p - 24

36.

-2(x + 5)

a)

-2x + 10

b)

-2x - 10

c)

-2x + 5

d)

-2x - 5

37.

-3(2c - 5)

a)

-6c - 15

b)

-6c + 15

c)

6c + 15

d)

6c - 15

38.

9 × 4 = (☐ × 4) + (☐ × 4)

a)

5, 4

b)

6, 10

c)

3, 3

d)

2, 2

39.

Select all the expressions that could be used to find the product of 3 x 9.

a)

3 x 9 = 20 + 7

b)

3 x 9 = 9 x 4

c)

3 x 9 = 3 x (5 x 4)

d)

3 x 9 = ( 3 x 5) + ( 3 x 4)

40.

Rewrite using the Distributive Property: 6(3 + 6)

a)

(6x3) + 6

b)

63

c)

(6x3) + (6x6)

d)

18 + 36

41.

Rewrite using the Distributive Property: 14(10 + 7)

a)

(14+10) x (14+7)

b)

(14x10) + (14x7)

c)

(14x10) + 7

d)

140 + 98

42.

Rewrite using the Distributive Property: 5(20 x 10)

a)

(5x20) + (5+10)

b)

(100) + (50)

c)

100 + (5x10)

d)

(5x20) + (5x10)

43.

Fill in the missing addend in each box that makes the equation true.

9(5+ (a) )= 45 + 18

44.

Fill in the missing addend in each box that makes the equation true.

-3(4 - (a) )= -12 + 18

45.

What is the difference between an expression and equation?

a)

Expressions have an equal sign and equations do not have an equal sign

b)

Expressions do not have an equal sign and equations do have an equal sign

c)

There is not a difference

d)

Expressions do not have variables and equations have variables

46.

What what is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

47.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

48.

What is your first step when you solve x + 5 = 12

a)

Add 5 to 5 and add 5 to 5 to 12

b)

Subtract 5 from 5 and subtract 5 from 12

c)

Subtract 12 from 12 and subtract 12 from 5

d)

Add 12 to 12 and add 12 to 5

49.

In the equation
x + 7 = 12
7 is being added to the variable, x. How should you show your work to isolate the variable and solve the equation?

a)

Subtract 7 from both sides. The solution is x = 5.

b)

Add 7 to both sides.
The solution is x = 19.

c)

Multiply both sides by 7 The solution is x = 84.

50.

Solve the equation
3x = 27.

a)

x = 24

b)

x = 81

c)

x = 9

51.

5 less than a number is 15.

a)

x - 5 = 15

b)

5 - x = 15

c)

15 - x = 5

52.

Which choice models this situation? Marcus needs to sell 25 tickets to a fundraiser by Friday. So far, he has sold 9 tickets. How many tickets does he still need to sell?

a)

t - 9 = 25

b)

t + 9 = 25

c)

9t = 25

d)

t/9 = 25

53.

Which equation has w = 8 as the solution?

a)

8w= 64

b)

16w = 240

c)

16 - w = 9

d)

4 + w = 10

54.

Which choice models this situation?

Anna participated in a read-a-thon. Mr. Cole pledged $4 per book and gave Anna $44. How many books did Anna read?

a)

b - 4 = 44

b)

b + 4 = 33

c)

4b = 44

d)

b/4 = 44

55.

Solve the following equation
8 = m - 12

a)

4

b)

0.5

c)

5.0

d)

20

56.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

57.

-16+ x= -15

a)

2

b)

0

c)

-1

d)

1

58.

What equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.

a)

v - 4 = 10

b)

v + 4 = 10

c)

10 - 4 = v

d)

Answer not Given

59.

To solve the equation:

4p = 16

what needs to be done to both sides to isolate the variable?

a)

Add 4

b)

Subtract 4

c)

Multiply by 4

d)

Divide by 4

60.

Mathematically, what is the 10 doing to the x?

10x = 90

a)

Adding 10

b)

Subtracting 10

c)

Multiplying 10

d)

Dividing 10

61.

Solve the equation:
-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

62.

Solve the following equation
1 + a = 15

a)

14

b)

16

c)

12

d)

- 16

63.

Solve the equation:
4p = 16

a)

p = 12

b)

p = 64

c)

p = 3

d)

p = 4

64.

18 + a = -50

a)

a = -950

b)

a = -68

c)

a = -32

d)

a = -50/19

65.

Solve the following equation:

$5x+8=43$

(a)

66.

Solve the following equation:

$\frac{x}{3}-7=1$

(a)

67.

Solve the following equation:

$54=\frac{7}{5}x+5$

(a)

68.

Solve the following equation:

$-12-6x=-60$

(a)

69.

Solve the equation:

$\frac{x+12}{-5}=-4$

(a)

70.

Solve the following equation:

$4y+11=23$

(a)

71.

Solve the following equation:

$10-6x=-104$

(a)

72.

Solve the following equation:

$63=7+28y$

(a)

73.

Solve the following equation:

$-3=\frac{x}{4}+7$

(a)

74.

Solve the following equation:

$\frac{x}{5}+4=-4$

(a)

75.

Solve the following equation:

$\frac{x}{-5}+6=3$

(a)

76.

Solve the following equation:

$\frac{2}{3}x+4=-26$

(a)

77.

Solve the following equation:

$\frac{4}{5}y-8=8$

(a)

78.

Solve the following equation:

$\frac{3}{5}x+8=20$

(a)

79.

Solve the following equation:

$\frac{x+9}{3}=8$

(a)

80.

Solve the following equation:

$-1=\frac{x+5}{6}$

(a)

81.

Solve the following equation:

$\frac{n+5}{-16}=-1$

(a)

82.

Solve the following equation:

$12x-15=45$

(a)

83.

Solve the following equation:

$40=9x-14$

(a)

84.

Solve the following equation:

$65=8x+25$

(a)

85.

Solve for x:

4x - 3 = 9

a)

x = 3

b)

x = 2/3

c)

x = 4

d)

x = 1.25

86.

Solve for x:

5 - 2x = 13

a)

x = -4

b)

x = 9

c)

x = 4

d)

x = -3

87.

Solve for x:

$-9\ +\ \frac{x}{4}=-7$

a)

x = 8

b)

x = -64

c)

x = 16

d)

x = -8

88.

Solve for x:

$\frac{x}{2}+5=3$

a)

x = -4

b)

x = -2

c)

x = 16

d)

x = 8

89.

Solve for x:

3(x + 2) = 15

a)

x = 3

b)

x = 4 1/3

c)

x = 10

d)

x = 6

90.

Solve for x:

2(2x - 1) = 10

a)

x = 3

b)

x = 2

c)

x = 4.5

d)

x = 5

91.

Solve for x:

-12x + 4 = 100

a)

x = -8

b)

x = 22

c)

x = 8

d)

x = 8.5

92.

Solve for x:

-7 + 4x = -15

a)

x = -2

b)

x = 2

c)

x = 5.5

d)

x = -12

93.

Which description matches the following equation?

$\frac{x}{2}-5\ =\ -7$

a)

The difference between two times a number and 5 is -7.

b)

Five fewer than half a number is -7.

c)

Double a number plus 5 is 7.

d)

A number times two decreased by 5 is -7.

94.

Which description matches the following equation?

$5\ +\ 2x\ =\ -7$

a)

The difference between two times a number and 5 is -7.

b)

Five fewer than half a number is -7.

c)

Double a number plus 5 is -7.

d)

A number times two decreased by 5 is -7.

95.

Solve for x.

$2x\ -\ 5\ =\ -7$

a)

x = -1

b)

x = -6

c)

x = -24

d)

x = -12

96.

Solve for x.

$\frac{x}{2}-5\ =\ -7$

a)

x = -4

b)

x = 24

c)

x = 8

d)

x = 6

97.

Solve for x.

$5\ +\ 2x\ =\ -7$

a)

x = -6

b)

x = 1

c)

x = -4

d)

x = 6

98.

Which description matches the following equation?

$\frac{x}{4}\ -\ 8\ =\ 12$

a)

The difference between a number split into four equal parts and 8 is 12.

b)

Eight fewer than the product of a number and 4 is 12.

c)

The sum of 8 and the quotient of a number and four is 12.

d)

The product of a number and 4 increased by 8 is 12.

99.

Which description matches the following equation?

4n - 8 = 12

a)

The difference between a number split into four equal parts and 8 is 12.

b)

Eight fewer than the product of a number and 4 is 12.

c)

The sum of 8 and the quotient of a number and four is 12.

d)

The product of a number and 4 increased by 8 is 12.

100.

Which description matches the following equation?

$\frac{n}{4}+8\ =\ 12$

a)

The difference between a number split into four equal parts and 8 is 12.

b)

Eight fewer than the product of a number and 4 is 12.

c)

The sum of 8 and the quotient of a number and four is 12.

d)

The product of a number and 4 increased by 8 is 12.

101.

Solve for x.

$\frac{x}{4}\ -\ 8\ =\ 12$

a)

x = 80

b)

x = 20

c)

x = 5

d)

x = 16

102.

Solve for x.

4x - 8 = 12

a)

x = 80

b)

x = 5

c)

x = 1

d)

x = 16

103.

Solve for n.

$\frac{n}{4}+8\ =\ 12$

a)

n = 1

b)

n = 80

c)

n = 16

d)

n = 5

104.

Which description matches the following equation?

2x - 5 = -7

a)

The difference between two times a number and 5 is -7.

b)

Five fewer than half a number is -7.

c)

Double a number plus 5 is -7.

d)

A number times two decreased by 5 is -7.

105.

Solve for x:

4x - 3 = 9

a)

x = 3

b)

x = 2/3

c)

x = 4

d)

x = 1.25

106.

Solve for x:

5 - 2x = 13

a)

x = -4

b)

x = 9

c)

x = 4

d)

x = -3

107.

Solve for x:

$-9\ +\ \frac{x}{4}=-7$

a)

x = 8

b)

x = -64

c)

x = 16

d)

x = -8

108.

Solve for x:

$\frac{x}{2}+5=3$

a)

x = -4

b)

x = -2

c)

x = 16

d)

x = 8

109.

Solve for x:

3(x + 2) = 15

a)

x = 3

b)

x = 4 1/3

c)

x = 10

d)

x = 6

110.

Solve for x:

2(2x - 1) = 10

a)

x = 3

b)

x = 2

c)

x = 4.5

d)

x = 5

111.

Solve for x:

-12x + 4 = 100

a)

x = -8

b)

x = 22

c)

x = 8

d)

x = 8.5

112.

Solve for x:

-7 + 4x = -15

a)

x = -2

b)

x = 2

c)

x = 5.5

d)

x = -12

113.

Which description matches the following equation?

$\frac{x}{2}-5\ =\ -7$

a)

The difference between two times a number and 5 is -7.

b)

Five fewer than half a number is -7.

c)

Double a number plus 5 is 7.

d)

A number times two decreased by 5 is -7.

114.

Which description matches the following equation?

$5\ +\ 2x\ =\ -7$

a)

The difference between two times a number and 5 is -7.

b)

Five fewer than half a number is -7.

c)

Double a number plus 5 is -7.

d)

A number times two decreased by 5 is -7.

115.

Solve for x.

$2x\ -\ 5\ =\ -7$

a)

x = -1

b)

x = -6

c)

x = -24

d)

x = -12

116.

Solve for x.

$\frac{x}{2}-5\ =\ -7$

a)

x = -4

b)

x = 24

c)

x = 8

d)

x = 6

117.

Solve for x.

$5\ +\ 2x\ =\ -7$

a)

x = -6

b)

x = 1

c)

x = -4

d)

x = 6

118.

Which description matches the following equation?

$\frac{x}{4}\ -\ 8\ =\ 12$

a)

The difference between a number split into four equal parts and 8 is 12.

b)

Eight fewer than the product of a number and 4 is 12.

c)

The sum of 8 and the quotient of a number and four is 12.

d)

The product of a number and 4 increased by 8 is 12.

119.

Which description matches the following equation?

4n - 8 = 12

a)

The difference between a number split into four equal parts and 8 is 12.

b)

Eight fewer than the product of a number and 4 is 12.

c)

The sum of 8 and the quotient of a number and four is 12.

d)

The product of a number and 4 increased by 8 is 12.

120.

Which description matches the following equation?

$\frac{n}{4}+8\ =\ 12$

a)

The difference between a number split into four equal parts and 8 is 12.

b)

Eight fewer than the product of a number and 4 is 12.

c)

The sum of 8 and the quotient of a number and four is 12.

d)

The product of a number and 4 increased by 8 is 12.

121.

Solve for x.

$\frac{x}{4}\ -\ 8\ =\ 12$

a)

x = 80

b)

x = 20

c)

x = 5

d)

x = 16

122.

Solve for x.

4x - 8 = 12

a)

x = 80

b)

x = 5

c)

x = 1

d)

x = 16

123.

Solve for n.

$\frac{n}{4}+8\ =\ 12$

a)

n = 1

b)

n = 80

c)

n = 16

d)

n = 5

124.

Which description matches the following equation?

2x - 5 = -7

a)

The difference between two times a number and 5 is -7.

b)

Five fewer than half a number is -7.

c)

Double a number plus 5 is -7.

d)

A number times two decreased by 5 is -7.

125.

a)

18

b)

34

c)

13/4

d)

20

126.

a)

6

b)

-6

c)

24

d)

-24

127.

a)

- 4

b)

4

c)

- 70

d)

70

128.

a)

- 108

b)

108

c)

3

d)

- 3

129.

a)

16

b)

1/4

c)

4

d)

10

130.

a)

- 3

b)

3

c)

29

d)

14

131.

a)

0

b)

15

c)

- 15

d)

1

132.

a)

- 7

b)

7

c)

9/16

d)

16/9

133.

a)

- 90

b)

90

c)

13

d)

- 23

134.

a)

20

b)

6

c)

- 6

d)

- 20

135.

What is the first step?

a)

add -8 to both sides

b)

subtract -8 to both sides

c)

Multiply -8 to both sides

d)

divide -8 to both sides

136.

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

137.

-3=x+5

What is the first step?

a)

add 3 to both sides

b)

subtract 5 from both sides

c)

add 5 to both sides

d)

subtract -5 from both sides

138.

-6x=-24

What is the first step?

a)

multiply both sides by -6

b)

divide both sides by -6

c)

add 6 to both sides

d)

subtract -6 from both sides

139.

-18=m+12

What is the first step?

a)

add 18 to both sides

b)

subtract 18 from both sides

c)

add 12 to both sides

d)

subtract 12 from both sides

140.

What is the first step?

a)

multiply both sides by 3

b)

multiply both sides by -3

c)

divide both sides by -3

d)

add 3 to each side

141.

What is the first step?

a)

multiply both sides by 3

b)

multiply both sides by -3

c)

divide both sides by 18

d)

divide both sides by 3

142.

f+6=-6

What is the first step?

a)

multiply both sides by 6

b)

divide both sides by 6

c)

add 6 to both sides

d)

subtract 6 from both sides

143.

x + 12 = 20

a)

x = 32

b)

x = -32

c)

x = 8

d)

x = -8

144.

5. 6b = 30

a)

x = 36

b)

x = 24

c)

x = 180

d)

x = 5

145.

Solve the equation
3x = 27.

a)

x = 24

b)

x = 81

c)

x = 9

146.

Which equation has x = 5 as the solution?

a)

x + 15 = 10

b)

2x = 5

c)

2x = 10

147.

144=12z

a)

z=20

b)

z=11

c)

z=12

148.

x - 62 = 123

What is the first step?

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

149.

Solve for x:

x + 19.46 = 245.3

a)

264.76

b)

12.6

c)

50.7

d)

225.84

150.

y - 4.6 = 12

a)

16.6

b)

5.8

c)

7.4

d)

Answer not Given

151.

a)

4.5

b)

4.2

c)

15

d)

51.84

152.

a)

6.1

b)

12.7

c)

-11.2

d)

27.3

153.

Solve the equation:
x + 7 = 12

a)

x = 5

b)

x = 19

c)

x = 4

d)

x = 84

154.

Solve the equation:
4p = 16

a)

p = 12

b)

p = 64

c)

p = 3

d)

p = 4

155.

Solve the equation:
2w=58

a)

w = 29

b)

w = 32

c)

w = 15

d)

w = 116

156.

What is the solution of the equation?
8 = x + 1

a)

9

b)

7

c)

6

d)

8

157.

Solve the equation:
x/3 = 4

a)

x = 12

b)

x = 1

c)

x = 16

d)

x = 3

158.

Solve the equation:
5x = 25

a)

x = 20

b)

x = 125

c)

x = 4

d)

x = 5

159.

r + 12 = 25

a)

37

b)

13

c)

300

d)

Answer not Given

Equations Test Review

Total questions: 159

Worksheet time: 5hrs 42mins

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