Free Printable One and Two Step Equations

1.

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

a)

7x + 35 = 63

b)

7x = 63

c)

7x - 35 = 63

d)

35x + 7 = 63

2.

Scott works on cars. He charges $35 for each car plus $7 per hour.
The correct equation was 7x + 35 = 63.
So, how many hours did he work on Kylie's car if her bill was $63?

a)

x = 4

b)

x = 5

c)

x = 3

d)

x = 4.5

3.

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

a)

.50x + 20 = 35

b)

.50x = 35

c)

.50 + 20x = 35

d)

.50x - 20 = 35

4.

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each.
The correct equation was .50x + 20 = 35.
So, how many tickets did she buy?

a)

x = 30

b)

x = 25

c)

x = 35

d)

x = 31

5.

Which equation would describe "two times a number plus five equals 15"?

a)

x + 5 = 15

b)

2x + 5=15

c)

x + 2(5) = 15

d)

2(x + 5) = 15

6.

Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. How many months has Jim been a member of the gym?

a)

50 + 20m = 290

b)

20 + 50m = 290

c)

50 + 20 = m

d)

50m - 20 = 290

7.

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

8.

Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey's mom pays Natalie $11 per hour plus a $6 tip.
The correct equation was 11x + 6 = 39.
So, how many hours was the lesson?

a)

x = 3

b)

x = 2

c)

x = 4

d)

x = 5

9.

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage. If Tara's cell phone bill is $75, how many minutes did she talk on the phone?

a)

30 minutes

b)

60 minutes

c)

250 minutes

d)

300 minutes

10.

Mary earns $14 per hour. Which equation represents how many hours she worked to earn $112?

a)

14h = 112

b)

14 / h = 112

c)

h + 14 = 112

d)

h - 14 = 112

11.

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.

12.

5x+4=64

a)

2

b)

12

c)

10

d)

15

13.

Solve 2x - 3 = 1

a)

3

b)

2

c)

1

d)

-2

14.

Solve. 3x - 12 = 15

a)

9

b)

-1

c)

27

d)

-9

15.

A bag of candy was shared equally among 4 friends. Each friend gave away 7 pieces of candy. They each ended up with 8 pieces of candy. Write an equation to find how much candy was in the bag at the beginning.

a)

c/7 - 4 = 8

b)

c/4 + 7 = 8

c)

4/c - 7 = 8

d)

c/4 - 7 = 8

16.

Which equation would describe "two times a number plus five equals 15"?

a)

x + 5 = 15

b)

2x + 5=15

c)

x + 2(5) = 15

d)

2(x + 5) = 15

17.

What is an opposite operation called:

a)

Reverse

b)

Inverse

c)

Exverse

d)

Universe

18.

Solve for s:

a)

s= 10

b)

s= -6

c)

s= 18

d)

s=-10

19.

Solve 2x - 3 = 1

a)

3

b)

2

c)

1

d)

-2

20.

To solve an equation, the goal is to __________ the variable on one side.

a)

Evaluate

b)

Leviate

c)

Isolate

d)

Reciprocate

21.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

22.

What is the first step in solving the equation

6x - 4 = 17 ?

a)

subtract 4 from each side

b)

subtract 6 from each side

c)

add 4 to each side

d)

divide each side by 6

23.

What is the first step in solving the equation

8 + 7x = 29

a)

subtract 7 from both sides

b)

subtract 8 from both sides

c)

divide both sides by 7

d)

subtract 8 from the left hand side only

24.

What will the equation

4 + 3x = 18

look like after the first step had been done?

a)

-3x = 18

b)

-3x = 14

c)

3x = 14

d)

x = 14

25.

3y-2=-29

a)

y=9

b)

y=-9

c)

y=11

d)

y=-9

26.

4w-9=-9

a)

w=45

b)

w=0

c)

w=2

d)

w=7

27.

-12a+4=100

a)

-8

b)

12

c)

8

d)

-12

28.

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

a)

z=-16

b)

z=4

c)

z=16

d)

z=-4

29.

$\frac{r}{10}+4=5$

a)

r=10

b)

r=3

c)

r=7

d)

r=-6

30.

2r+10=-2

a)

4

b)

-4

c)

6

d)

-6

31.

$2x+11=23$

a)

x = 6

b)

x = 12

c)

x = 17

d)

x = 2

32.

$4x-16=48$

a)

x = 12

b)

x = 18

c)

x = 16

d)

x = 1

33.

$\frac{x}{3}-7=19$

a)

x = 96

b)

x = 78

c)

x = 36

d)

x = 5

34.

$-3x-18=-63$

a)

x = 27

b)

x = -81

c)

x = 9

d)

x = 15

35.

$\frac{1}{4}x+12=-9$

a)

x = -84

b)

x = 36

c)

x = -21

d)

x = 12

36.

$\frac{1}{5}x-19=-8$

a)

x = -55

b)

x = -11

c)

x = 5

d)

x = 55

37.

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

38.

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

39.

Breanna went to the mall and spent $35.00 on shoes. When she got home she had $40.00 in her purse. which equation can be used to find the amount of money she started with?

a)

x - 35.00 = 40.00

b)

40.00 - 35.00 = x

c)

35.00x = 40.00

d)

40.00x = 35.00

40.

Select the equation that best represents the situation: Mrs. Lamb is baking a cake. The recipe calls for nine cups of flour. She already put in two cups.

a)

r $\div$ 2 = 9

b)

r $-$ 2 = 9

c)

r + 2 = 9

d)

2r = 9

41.

Charlie has some candy. He shares ten pieces with Betsy and is left with 24 pieces. Which equation should I use to solve this problem?

a)

x +10 = 24

b)

x - 10 = 24

c)

10x = 24

d)

x + 24 = 10

42.

Which equation would describe "two times a number plus five equals 15"?

a)

x + 5 = 15

b)

2x + 5=15

c)

x + 2(5) = 15

d)

2(x + 5) = 15

43.

If 2z - 7 = 11, what is the value of z?

a)

-2

b)

4

c)

18

d)

9

44.

Solve the equation 6 + 3a = 27.

a)

a = 15

b)

a = 5

c)

a = 10

d)

a = 7

45.

Find the value of x in the equation 5x + 8 = 33.

a)

9

b)

5

c)

7

d)

6

46.

If 3c + 2 = 17, what is the value of c?

a)

5

b)

3

c)

7

d)

10

47.

What is the solution to the equation 7e - 4 = 31?

a)

5

b)

9

c)

7

d)

3

48.

If 4f + 3 = 19, what is the value of f?

a)

4

b)

5

c)

3

d)

6

49.

Solve the equation 7h - 2 = 19.

a)

3

b)

2

c)

4

d)

5

50.

What is the solution to the equation 2b + 6 = 18?

a)

4

b)

6

c)

8

d)

5

51.

Find the value of p in the equation 3p = 21.

a)

5

b)

7

c)

9

d)

6

52.

What would be the best first step to solving the equation?

a)

add 6 to both sides

b)

subtract 6 from both sides

c)

multiply both sides by 3

d)

divide both sides by 3

53.

What is the first step of $20\left(t+9\right)=140$ ?

a)

Subtract 9

b)

Multiply by 20

c)

Divide by 20

d)

Add 9

54.

2(x + 4) = 22

a)

x = 7

b)

x = 15

c)

x = 16

d)

x = -7

55.

$\frac{x+4}{7}=5$

a)

7

b)

16

c)

39

d)

31

56.

$\frac{x-9}{6}=3$

a)

x = 11

b)

x = 9

c)

x = 27

d)

x = 72

57.

$10(c+8)=170$

a)

c = 8

b)

c = 9

c)

c = 7

d)

c = 10

58.

$\frac{x+5}{3}=7$ Solve:

a)

16

b)

26

c)

23

d)

13

59.

$\frac{x}{2}\ +\ 4\ =\ 8$

a)

x = 4

b)

x = 8

c)

x = 2

d)

x = 5

60.

13 less than the product of a number and 6 is 5

a)

6n -13=5

b)

n -13 x 6=5

c)

6 x 5 -13= n

d)

-13+ 5n = 6

61.

Ken is thinking of a number. Nine more than the product of 4 and the number is 73. What is the equation?

a)

4 + 9x = 73

b)

4x = 73

c)

4x + 9 = 73

d)

9x + 4 = 73

62.

A server at The Main Street Grill earned $7.80 per hour plus $87.40 in tips.

Write an equation that can be used to determine the number of hours, h, the server worked to earn $136.15.

a)

7.80h + 87.40 = 136.15

b)

7.80 + 87.40h = 136.15

c)

136.15 + 87.40h = 7.80

d)

7.80h + 136.15 = 87.40

63.

Solve for x:
-30 - 5x = 120

a)

x = 18

b)

x = -18

c)

x = 30

d)

x = -30

64.

-9r + 12 = -24

a)

12

b)

3

c)

4

d)

2

65.

Solve for y.

a)

y = -5.6

b)

y = 5.6

c)

y = -8.75

d)

y = 8.75

66.

Solve for x.

2(x + 15) = -6

a)

x = -10.5

b)

x = -18

c)

x = 18

d)

x = 10.5

67.

Solve for y.

6(y - 5) = 21

a)

y = 4.16

b)

y = 8.5

c)

y = -1.5

d)

y = 306

68.

Did Sarah make an error? If so, which is the best description of her error?

a)

She didn't distribute correctly. The second step should read 3x - 12 = 24

b)

She didn't distribute correctly. The second step should read -3x - 12 = 24

c)

She didn't distribute correctly. The second step should read -3x + 12 = 24

d)

She didn't make an error.

69.

Write an equation:

Chelsea booked a three-night cruise for her family. It cost $780 for the rooms plus $21 per person for meals. Chelsea paid $911 for the cruise.

a)

$911=21p+780$

b)

$911=21+780p$

c)

$780=21p-911$

d)

$21=911-780p$

70.

Write an equation:

A local plumber charges a $75 fee for a home visit and $66.24 per hour while they work. If the total bill was $339.96, how many hours did the plumber work?

a)

$75+66.24h=339.96$

b)

$75h+66.24=339.96$

c)

$339.96+66.24h=75$

d)

$75+339.96h=66.24$

71.

Write an equation:

A baby giraffe grows at a rate of 0.08 feet every day during their first week alive. A giraffe was recently born at zoo at a birth height of 6 feet. How many days old is the giraffe if its recent height is 6.48 feet?

a)

$6+0.08d=6.48$

b)

$6d+0.08=6.48$

c)

$6.48-0.08d=6$

d)

$6.48d-0.08=6$

72.

13= 5m -2

a)

-3

b)

2

c)

3

d)

-2

73.

10 = s/2 +7

a)

-6

b)

6

c)

3/2

d)

-3/2

74.

7 + ^a⁄₃= 5

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

75.

26 = 5a + 1

a)

a= 5 ⁴∕₅

b)

a= no solution

c)

a= 0

d)

a= 5

76.

-9x + 1 = -80

a)

-9

b)

9

c)

6

77.

7(9 + K)= 84
k =____________

a)

3

b)

-3

c)

5

78.

144 + =-12(x+ 5)

a)

-`7

b)

-17

c)

14

79.

What is the first step in solving the equation?

a)

Add 4 to each side

b)

Subtract 4 from each side

c)

Subtract 2y from each side

d)

Divide each side by 2y

80.

What step could be used to solve for x?

$x\ -\ 6\ =\ -13$

a)

add six to both sides

b)

subtract six from both sides

c)

multiply by six on both sides

d)

divide by six on both sides

81.

Solve for x:

$x\ -\ 6\ =\ -13$ Type just the value of x in the box.

(a)

82.

What step could be used to solve for x?

$-2x\ =\ -100$

a)

add negative 2 to both sides

b)

subtract negative 2 from both sides

c)

multiply by negative 2 on both sides

d)

divide by negative 2 on both sides

83.

Solve for x:

$-2x\ =-100$ Type just the value of x in the box

(a)

84.

Which value of x makes the equation true?

$6x\ +\ 3\ =\ -9$

a)

-2

b)

-1

c)

1

d)

2

85.

Solve for n:

$\frac{n\ \ +\ 10}{5}\ =\ 8$ Type just the value of x in the box.

(a)

86.

Which equation matches the model?

a)

6x + 3 = 12

b)

-3x - 6 = -12

c)

3x + 6 = 12

d)

6x - 3 = -12

87.

Which equation matches the model?

a)

3x - 2 = 5

b)

2x - 3 = -5

c)

3x + 2 = 5

d)

2x + 3 = -5

88.

Translate the following into an equation?

eight more than a number is seventeen

a)

17 + n = 8

b)

8 - n = 17

c)

n + 8 = 17

d)

n - 8 = 17

89.

Translate the following into an equation:

the quotient of a number and six is ten

a)

$6n\ =\ 10$

b)

$\frac{n}{6}\ =\ 10$

c)

$\frac{10}{n\ }\ =\ 6$

d)

$n\ +\ 6\ =\ 10$

90.

Solve the word problem:

Jackson is 2 years younger than twice Danika's age. If Jackson is 18 year old, how many years old is Danika?

(a)

91.

Solve the equation: 7 - 3x = 16

a)

x = 5

b)

x = 2

c)

x = -7

d)

x = -3

92.

Solve the equation: 2x + 9 = 25

a)

8

b)

15

c)

10

d)

12

93.

Solve the equation: 6 - 2x = 10

a)

-2

b)

6

c)

-4

d)

2

94.

solve

a)

r=-11

b)

r=2.78

c)

r=55.2

d)

r=20.1

95.

Solve the equation: 0.5x + 1.2 = 3.7

a)

x = 2.5

b)

x = 5

c)

x = 6

d)

x = 4

96.

Find the value of x in the equation: 2.3 - 0.7x = 1.6

a)

x = 1.4

b)

x = 1.0

c)

x = 0.9

d)

x = 2.0

97.

Solve the equation: 0.4x + 0.6 = 1.8

a)

x = 3

b)

x = 2

c)

x = 4

d)

x = 5

98.

Find the value of x in the equation: 1.5 - 0.3x = 0.9

a)

x = 0.5

b)

x = 2

c)

x = 1

d)

x = 3

99.

Find the value of x in the equation: 2.6 - 0.4x = 1.4

a)

x = 2

b)

x = 4

c)

x = 5

d)

x = 3

100.

Solve the equation: 0.3x + 0.5 = 1.1

a)

x = 0.5

b)

x = 0.8

c)

x = 2

d)

x = 1.5

101.

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

a)

a= 28

b)

a= 112

c)

a= 7

d)

a= 67

102.

Find the value of x.

a)

x = 9

b)

x = 16

c)

x = 12

d)

x = 14

103.

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

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

104.

Solve the equation shown

a)

51 = g

b)

52 = g

c)

27 = g

d)

21 = g

105.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

106.

Solve the equation below:

a)

k = 152

b)

k = 176

c)

k = 5

d)

k = 27

107.

What is the inverse operation of subtraction?

a)

Subtraction

b)

Multiplication

c)

Division

d)

Addition

108.

Which pair of operations are inverse operations?

a)

Addition & Multiplication

b)

Multiplication & Subtraction

c)

Addition & Subtraction

d)

Subtraction and Division

109.

$\frac{5}{24}+c=\frac{1}{3}$

a)

$\frac{1}{8}$

b)

$\frac{2}{3}$

c)

$\frac{6}{24}$

d)

$\frac{3}{24}$

110.

$\frac{x}{3}=12$

a)

4

b)

5

c)

$\frac{1}{3}$

d)

36

111.

$\frac{4}{9}=y-\frac{2}{5}$

a)

$\frac{17}{45}$

b)

$\frac{38}{45}$

c)

$\frac{1}{5}$

d)

$\frac{5}{9}$

112.

$t-\frac{7}{\ 9}=\frac{1}{3}$

a)

$\frac{12}{9}$

b)

$\frac{10}{9}$

c)

$1\ \frac{1}{9}$

d)

$1\ \frac{1}{3}$

113.

$\frac{x}{15}=3$

a)

5

b)

45

c)

21

d)

16

114.

$\frac{2}{3}r=10$

a)

15

b)

12

c)

10

d)

30

115.

$\frac{5}{8}b=6$

a)

$9\ \frac{3}{5}$

b)

$\frac{49}{5}$

c)

$\frac{48}{5}$

d)

$48$

116.

$x-\frac{1}{8}=\frac{3}{4}$

a)

$\frac{1}{2}$

b)

$\frac{1}{4}$

c)

$\frac{6}{8}$

d)

$\frac{7}{8}$

117.

$\frac{3}{4}m=24$

a)

8

b)

32

c)

24

d)

34

118.

$x-\frac{1}{3}=\frac{5}{6}$

a)

$\frac{7}{6}$

b)

12

c)

$\frac{2}{6}$

d)

$\frac{17}{6}$

119.

$\frac{2}{5}+a=\frac{13}{20}$

a)

$\frac{1}{2}$

b)

$\frac{1}{3}$

c)

$\frac{1}{4}$

d)

$\frac{1}{5}$

120.

What is the first step in solving the following equation?
3 = m/2

a)

Add 2 to both sides of the equal sign.

b)

Subtract 2 to both sides of the equal sign.

c)

Multiply 2 to both sides of the equal sign.

d)

Divide 2 to both sides of the equal sign.

One and Two Step Equations

Total questions: 120

Worksheet time: 4hrs 0mins

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