Free Printable 2A Review: One and Two Step Equations

1.

3x + 2 = -25

a)

x = -8

b)

x = -9

c)

x = 9

d)

x = 24

2.

6 - 2a = 4

a)

a = 1

b)

a = -1

c)

a = 5

d)

a = -5

3.

Solve 12 - 6y = 24

a)

-1

b)

-2

c)

-3

d)

-4

4.

Solve for z:

\frac{z}{7}+3=-11

a)

$-98$

b)

$98$

c)

$56$

d)

$-56$

5.

Solve for w:

-6w-5=25

a)

$-5$

b)

$5$

c)

$4$

d)

$-4$

6.

Solve for f:

\frac{f}{3}-5=-2

a)

$9$

b)

$21$

c)

$-21$

d)

$-9$

7.

Solve the following equation for x:

2.25x-10=23.75

a)

31.5

b)

16

c)

15

8.

-21 = 8r + 3

a)

r = 10

b)

r = 3

c)

r = -2.25

d)

r = -3

9.

-7 + 4j =37

a)

j=11

b)

j=9

c)

j=12

d)

j=23

10.

a)

n= 7

b)

n=9

c)

n=5

d)

n=6

11.

$9x\ -\ 7\ =\ -7\$

a)

x = 0

b)

x = 1

c)

x = 2

d)

x = 3

12.

$8n\ +\ 7\ =31$

(a)

13.

$3+\frac{1}{4}a=31$

a)

a= 28

b)

a= 112

c)

a= 7

d)

a= 67

14.

6 ( 2n + 5 ) = 66

a)

3

b)

5.08

c)

8

d)

432

15.

A taxi charges $3, plus $1.50 for each mile traveled. Mr. Lewis rode in the taxi from his home to the airport and was charged $30. How many miles does Mr. Lewis live from the airport?

a)

18 miles

b)

20 miles

c)

22 miles

16.

3x + 2 = -25

a)

x = -8

b)

x = -9

c)

x = 9

d)

x = 24

17.

17 - 2d = 29

a)

d = 23

b)

d = -23

c)

d = 6

d)

d = -6

18.

6 - 2a = 4

a)

a = 1

b)

a = -1

c)

a = 5

d)

a = -5

19.

Solve 12 - 6y = 24

a)

-1

b)

-2

c)

-3

d)

-4

20.

What is the next step to solve this equation?
3x - 5 = 7

a)

Add 5 to both sides of the equation

b)

Add 3x to both sides of the equation

c)

Subtract 5 from both sides of the equation

d)

Subtract 7 from both sides of the equation

21.

Solve for z:

\frac{z}{7}+3=-11

a)

$-98$

b)

$98$

c)

$56$

d)

$-56$

22.

Solve for w:

-6w-5=25

a)

$-5$

b)

$5$

c)

$4$

d)

$-4$

23.

Solve for f:

\frac{f}{3}-5=-2

a)

$9$

b)

$21$

c)

$-21$

d)

$-9$

24.

Solve for d:

2d+3=13

a)

$5$

b)

$-5$

c)

$8$

d)

$-8$

25.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

26.

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

a)

9

b)

7

c)

6

d)

8

27.

Solve the equation:
x + 7 = 12

a)

x = 5

b)

x = 19

c)

x = 4

d)

x = 84

28.

Solve the equation:
4p = 16

a)

p = 12

b)

p = 64

c)

p = 3

d)

p = 4

29.

Solve the equation:
2w=58

a)

w = 29

b)

w = 32

c)

w = 15

d)

w = 116

30.

Solve the equation:
x/3 = 4

a)

x = 12

b)

x = 1

c)

x = 16

d)

x = 3

31.

r + 12 = 25

a)

37

b)

13

c)

300

d)

Answer not Given

32.

Solve for x:

a)

20

b)

7

c)

10

d)

3

33.

n - 4 = 12

a)

n = 16

b)

n = 8

c)

n = 4/12

d)

n = 12/4

34.

2d + 7 = 9

a)

1

b)

7

c)

4

d)

3

35.

11 = 3z + 5

a)

2

b)

6

c)

1

d)

4

36.

-6p - 3 = 9

a)

-2

b)

2

c)

6

d)

3

37.

-10 = 6 - 4m

a)

4

b)

5

c)

3

d)

2

38.

-3t + 4 = 19

a)

-5

b)

7

c)

-7

d)

3

39.

-3+n=25

a)

28

b)

22

c)

-22

d)

24

40.

11 = 18 + 7f

a)

-1

b)

1

c)

4.1

d)

6

41.

9k - 8 = 10

a)

2

b)

1

c)

-1

d)

-2

42.

22 = 4 + 6e

a)

3

b)

2

c)

1

d)

7

43.

Solve for x. $\frac{x}{7}-8=16$

a)

x = 56

b)

x = 8/7

c)

x = 24/7

d)

x = 168

44.

Solve for x:

$\frac{7+x}{2}=\ 14$

a)

x = 35

b)

x = 0

c)

x = 21

d)

x = 14

45.

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

a)

$x=1$

b)

$x=49$

c)

$x=7$

d)

$x=21$

46.

Solve for x:

8x - 9 = 7

a)

x = -4

b)

x = 1/2

c)

x = 2

d)

x = 8

47.

Solve for h:

\frac{h}{4\ }+\ 3\ =\ -6

a)

h = -36

b)

h = -9

c)

h = -27

d)

h = -12

48.

Solve for x:

21 = 7 - 2x

a)

x = 14

b)

x = 7

c)

x = -14

d)

x= -7

49.

Solve for y:

0.5y + 1.9 = 10.4

a)

y = 4.25

b)

y = 24.6

c)

y = 17

d)

y = 18.9

50.

Four times a number x plus eleven is thirty-five. Find the number.

a)

x = 4

b)

x = 6

c)

x = 11.5

d)

x = 24

51.

Use the distributive property to rewrite the expression without parentheses:

8(x + 10)

a)

x + 80

b)

8x + 80

c)

8x + 10

d)

x + x + x + x + x + x + x + x + 10

52.

Use the distributive property to rewrite the expression without parentheses:

3(5y - 4)

a)

35y - 4

b)

15y - 12

c)

15y - 4

d)

15y + 12

53.

Simplify this expression by combining like terms:

5y + 4 - 4y + 6 + 6y

a)

7y + 10

b)

17y

c)

10y + 7

d)

5y

54.

Distribute then solve.

3(2x + 4) = 24

a)

x = 3.33

b)

x = 6

c)

x = 2

d)

x = 4

55.

Distribute, combine, then solve.

2(y+5) + 3y = 25

a)

y = 4

b)

y = 1.6

c)

y = 5

d)

y = 3

56.

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

57.

The objective when solving an equation is to....

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

Combine Like Terms.

58.

Solve 2x - 3 = 1

a)

3

b)

2

c)

1

d)

-2

59.

Solve -5t + 9 = 24

a)

-3

b)

3

c)

12

60.

Solve 8 - 2x = 30

a)

-11

b)

11

c)

-12

d)

12

61.

3x + 2 = -25

a)

x = -8

b)

x = -9

c)

x = 9

d)

x = 24

62.

-3x + 1 = 7

a)

x = -2

b)

x = -2 2∕3

c)

x = 2

d)

x = 2 2∕3

63.

6 - 2a = 4

a)

a = 1

b)

a = -1

c)

a = 5

d)

a = -5

64.

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

65.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

66.

Using the "opposite operation" to "undo" and isolate the variable when solving an equation is more commonly called...

a)

Inverse operations

b)

math

c)

variable

d)

PEMDAS

67.

x - 4 = 17

a)

x = 21

b)

x = 13

c)

x = 19

d)

x = 24

68.

x - 18 = 3

a)

x = 37

b)

x = 15

c)

x = -21

d)

x = 21

69.

c - 11 = 9

a)

c = -2

b)

c = -20

c)

c= 2

d)

c = 20

70.

5. 6b = 30

a)

x = 36

b)

x = 24

c)

x = 180

d)

x = 5

71.

Solve the equation
3x = 27.

a)

x = 24

b)

x = 81

c)

x = 9

72.

c/16 = 2

a)

c = 1

b)

c = 2

c)

c = 32

d)

c = 18

73.

To solve the equation
x + 5 = 8
I would ....

a)

subtract 5 from x

b)

subtract 5 from both sides

c)

subtract 5 from one side and add 5 to the other

d)

add 5 to both sides

74.

in 3a =12,
I would....

a)

add 3 to both sides

b)

subtract 3 from both sides

c)

divide both sides by 3

d)

divide just the right by 3

75.

What is the inverse operation that must be done to both sides of the equation?
x - 17 = 17

a)

subtract 17 from both sides

b)

multiply both sides by 17

c)

add 17 to both sides

d)

divide both sides by 17

76.

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

77.

Solve 2x - 3 = 1

a)

3

b)

2

c)

1

d)

-2

78.

Solve -5t + 9 = 24

a)

-3

b)

3

c)

12

79.

Solve 2x -7 = -23

a)

-8

b)

8

c)

-7

80.

Solve 8 - 2x = 30

a)

-11

b)

11

c)

-12

d)

12

81.

Solve 7y - 4 = -11

a)

1

b)

2

c)

-1

d)

-2

82.

Solve 7y - 4 = -11

a)

1

b)

2

c)

-1

d)

-2

83.

Solve 12 - 6y = 24

a)

-1

b)

-2

c)

-3

d)

-4

84.

Solve 7 - 3y = 22

a)

-5

b)

5

c)

15

d)

-15

85.

Solve -5t + 9 = 24

a)

-3

b)

3

c)

12

86.

Solve 12 - 6y = 24

a)

-1

b)

-2

c)

-3

d)

-4

87.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

88.

WRITE AN EQUATION

Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

a)

24-10=7x

b)

7x- 24=10

c)

7x+ 10=24

d)

10+x=14

89.

WRITE AN EQUATION
331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?

a)

331=7x+6

b)

331=13x

c)

331=6x+7

d)

331-7=6x

90.

WRITE AN EQUATION
You bought a $5 magazine and four
erasers. You spent a total of $25. How
much did each eraser cost?

a)

5+x=25

b)

5+4x=25

c)

5x=25

d)

23-5=4x

91.

Solve your answer will be apositive

a)

t = 20

b)

t = -20

c)

t = -40

d)

t = 40

92.

Solve

a)

5

b)

-6

c)

6

d)

21

93.

⅔x - 5 =7

a)

x=18

b)

x=10

c)

x=8

d)

x=11

94.

Solve.

a)

y = 16

b)

y = 96

c)

y = 1.5

d)

y = -16

95.

a)

19

b)

-9

c)

-100

d)

-50

96.

What is the first step in solving this equation:
5x + 7 = 12

a)

Divide by 5

b)

Subtract 5

c)

Multiply by 7

d)

Subtract 7

97.

Solve for x:
8x - 10 = -34

a)

4

b)

3

c)

-3

d)

-24

98.

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

a)

2

b)

1.2

c)

12

d)

-2

99.

-8 = -(2x + 4)

a)

x = -2

b)

x = 2

c)

x = 6

d)

x = -6

100.

Solve $\frac{1}{3}w=8$

a)

$w=\frac{8}{3}$

b)

$w=24$

c)

$w=\frac{3}{8}$

d)

$w=5$

101.

What is the second step in solving the equation: $\frac{1}{8}a-4=10$

a)

Multiply by 8

b)

Add 4

c)

Divide by 8

d)

Subtract 10

102.

Solve the equation: $\frac{1}{8}a-4=10$

a)

$a=-112$

b)

$a=\frac{7}{4}$

c)

$a=48$

d)

$a=112$

103.

To solve the equation $\frac{1}{5}x+10=3$ by clearing it of fractions, what would your first step be?

a)

Divide by 5

b)

Multiply every term by 5

c)

Subtract 10

d)

Add 5

104.

-(n - 8) = -2

a)

6

b)

10

c)

-10

d)

-6

105.

Solve your answer will be apositive

a)

t = 20

b)

t = -20

c)

t = -40

d)

t = 40

106.

⅔x - 5 =7

a)

x=18

b)

x=10

c)

x=8

d)

x=11

107.

a)

19

b)

-9

c)

-100

d)

-50

108.

p + 8 = 14.1

a)

1.7625

b)

112.8

c)

22.1

d)

6.1

109.

n + 4.7 = −4.7

a)

0

b)

-9.4

c)

9.4

d)

22.09

110.

7+\frac{a}{3}=5

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

111.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

112.

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

113.

Solve the equation:
-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

114.

x - 8 = -5

a)

13

b)

-13

c)

3

d)

-3

115.

x + 12 = 20

a)

x = 32

b)

x = -32

c)

x = 8

d)

x = -8

116.

Solve:

$3c+5=23$

a)

$c=3$

b)

$c=6$

c)

$c=7$

d)

$c=18$

117.

The objective when solving an equation is to....

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

Combine Like Terms.

118.

Solve 2x - 3 = 1

a)

3

b)

2

c)

1

d)

-2

119.

Solve 3x - 7 = 32

a)

13

b)

-13

c)

12

d)

-12

120.

Solve.

$6a\ +\ 5a\ =\ -11$

a)

$a\ =\ 0$

b)

$a\ =\ 1$

c)

$a\ =\ -1$

d)

None of these

121.

Solve.
$-6n\ -2n\ =\ 16$

a)

$n\ =\ -2$

b)

$n\ =\ 2$

c)

$n\ =\ 8$

d)

$n=\ -8$

122.

$50\ =-5\left(6n\ +\ 8\right)$

a)

$n\ =9$

b)

$n\ =\ -3$

c)

$n\ =-10$

d)

$n\ =\ -20$

123.

$24\ =\ 3\left(3x\ -7\right)$

a)

$x\ =\ -9$

b)

$x\ =\ 5$

c)

$x\ =3$

d)

$x\ =\ 7$

124.

Solve for the variable h in the following equation:

10( h + 1) - 4 = 76

a)

h = 10

b)

h = 4

c)

h = 7

d)

h = 76

125.

Choose the correct steps and order needed to solve the equation:

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

a)

1. subtract 9

2. multiply by 4

b)

1. subtract 4

2. divide by 9

c)

1. add 9

2. divide by 4

d)

1. multiply by 4

2. subtract 9

126.

2d + 7 = 9

a)

1

b)

7

c)

4

d)

3

127.

11 = 3z + 5

a)

2

b)

6

c)

1

d)

4

128.

a)

145

b)

165

c)

180

d)

190

129.

Bob tried solving the equation as shown above. What was Bob's mistake?

a)

Bob did not make a mistake.

b)

Bob should have subtracted 6 from both sides first instead.

c)

In the second step, Bob should have subtracted 8 from both sides instead of 6

d)

Bob should have skipped class so he didn't have to do the problem

130.

$-4=\frac{x-4}{2}$

a)

-4

b)

9

c)

3

d)

-17

131.

$8+\frac{x}{15}=9$

a)

10

b)

15

c)

11

d)

7

132.

$-1=\frac{n+10}{9}$

a)

-6

b)

19

c)

-19

d)

-8

133.

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

a)

13

b)

16

c)

-11

d)

-18

134.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

135.

a)

2

b)

4

c)

6

d)

8

136.

What is the inverse operation of addition?

a)

subtraction

b)

addition

c)

multiplication

d)

division

137.

What is the inverse operation of multiplication?

a)

subtraction

b)

addition

c)

multiplication

d)

division

138.

How would you solve this equation?

$x+8=-11$

a)

Subtract 8 from both sides

b)

Add 8 to both sides

c)

Subtract 11 from both sides

d)

Add 11 to both sides

139.

How would you solve this equation?

$-4n=40$

a)

Add 4 to both sides

b)

Subtract 40 from both sides

c)

Divide both sides by -4

d)

Multiply both sides by -4

140.

What is the first step to solve this equation?

$-2y+8=-16$

a)

Subtract 8 from both sides

b)

Add 2 to both sides

c)

Divide both sides by -2

d)

Add 16 to both sides

141.

What is the first step to solve this equation?

$\frac{n}{3}-11=-4$

a)

Add 11 to both sides

b)

Multiply both sides by 3

c)

Add 4 to both sides

d)

Subtract 3 from both sides

142.

The objective when solving an equation is to....

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

Combine Like Terms.

143.

After you subtract 5 from both sides of the equation (3x + 5 = 20) what will the equation look like?

a)

3x = 25

b)

3x = 20

c)

3x = 3

d)

3x = 15

144.

Solve the following equation.

\frac{b}{2}-9=11

(a)

145.

Solve the following equation.

5h+4\ =\ 19

(a)

146.

Solve for x:

30.16 = 17.56 + 5x

4 lines

147.

Solve for w:

3.3w - 9 = -22.2

4 lines

148.

Solve for n:

n/3 - 8 = -2

4 lines

149.

Solve for x:

x/-4 + 5 = 1

4 lines

150.

Solve for x:

4 lines

151.

Solve for x:

4 lines

2A Review: One and Two Step Equations

Total questions: 151

Worksheet time: 1hrs 16mins

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