Free Printable Solving One and Two Step Equations

1.

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

2.

What what is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

3.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

4.

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

5.

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.

6.

Solve the equation
3x = 27.

a)

x = 24

b)

x = 81

c)

x = 9

7.

5 less than a number is 15.

a)

x - 5 = 15

b)

5 - x = 15

c)

15 - x = 5

8.

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

9.

Which equation has w = 8 as the solution?

a)

8w= 64

b)

16w = 240

c)

16 - w = 9

d)

4 + w = 10

10.

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

11.

Solve the following equation
8 = m - 12

a)

4

b)

0.5

c)

5.0

d)

20

12.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

13.

-16+ x= -15

a)

2

b)

0

c)

-1

d)

1

14.

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

15.

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

16.

Mathematically, what is the 10 doing to the x?

10x = 90

a)

Adding 10

b)

Subtracting 10

c)

Multiplying 10

d)

Dividing 10

17.

Solve the equation:
-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

18.

Solve the following equation
1 + a = 15

a)

14

b)

16

c)

12

d)

- 16

19.

Solve the equation:
4p = 16

a)

p = 12

b)

p = 64

c)

p = 3

d)

p = 4

20.

18 + a = -50

a)

a = -950

b)

a = -68

c)

a = -32

d)

a = -50/19

21.

What is the first step to solve for b:

2b = -16

a)

add 2 to both sides

b)

subtract 2 to both sides

c)

multiply 2 to both sides

d)

divide 2 to both sides

22.

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

23.

What is the first step to solving this equation?

a)

add -8 to both sides

b)

subtract -8 to both sides

c)

Multiply -8 to both sides

d)

divide -8 to both sides

24.

What what is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

25.

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

a)

multiply both sides by 3

b)

multiply both sides by 4

c)

divide both sides by 3

d)

divide both sides by 4

26.

In an equation or inequality, you want to get the variable...

a)

on one side

b)

to disappear

c)

by itself

27.

To Solve the Equation Below, you'd
x - 62 = 123

a)

add 62 to each side

b)

subtract 62 from each side

c)

multiply each side by 62

d)

Add 123 to each side

28.

What is a variable?

a)

Something that varies

b)

an unknown person

c)

an unknown number

d)

x+5

29.

x+ 3=10

a)

3

b)

10

c)

13

d)

7

30.

Use your calculator, scrap paper, or whiteboard to solve the one step equation

a)

55

b)

35

c)

31

d)

66

31.

Solve the equation:
-2.6 + x = -4.6

a)

x = 2

b)

x = -2

c)

x = 7.2

d)

x = -7.2

32.

Evaluate: -35 + y= 70

a)

35

b)

-35

c)

105

d)

-105

33.

Solve the equation. Check your solution. It's - 7/8

a)

24

b)

¹⁴⁷/₈ or 18³/₈

c)

168

d)

-24

34.

How do you solve this equation?
$21=\frac{1}{4}a$

a)

add both sides by $\frac{1}{4}$

b)

subtract both sides by $\frac{1}{4}$

c)

multiply both sides by $\frac{1}{4}$

d)

divide both sides by $\frac{1}{4}$

35.

Solve the following equation.
$\frac{k}{0.9}=2.7$
*Hint: Do the opposite operation*

a)

$k=3$

b)

$k=2.43$

c)

$k=1.8$

36.

Solve for x

a)

x = 4

b)

x = 1

c)

2x = 4

d)

x = 2

37.

What equation is modeled? Solve the equation.

a)

x -6 = 13

b)

x + 6 = 13

c)

x + 6 = 13

d)

x - 6 = 13

38.

Write the equation for the model. (white square=1 rectangle=x red square = -1)

a)

7=x+3

b)

7=x+(-3)

c)

7=-x+3

d)

-7=x-3

39.

Which equation matches the image? THE RECTANGLES ARE THE VARIABLES & THE SQUARES EQUAL ONE EACH.

a)

x - 3 = 8

b)

x + 3 = 8

c)

3x = 8

d)

3x = 9

40.

Solve the equation using the image. THE RECTANGLES ARE THE VARIABLES & THE SQUARES EQUAL ONE EACH.

a)

n = 14

b)

n = 6

c)

n = 7

d)

n = 2

41.

If the triangle represents the variable and each circle equals one, is this model and equation in the image correct?

a)

Yes

b)

No, there needs to be 7 circles on the right side of the equal sign.

c)

No, there needs to be 4 circles on the right side of the equal sign.

d)

No, there needs to be a minus sign in the equation.

42.

Which equations matches the picture?

a)

3B + 1 = 6

b)

B + 3 = 6

c)

1 + 3 = 6

d)

6 = 3B + 1

43.

Which equation matches the picture above?

a)

c = 4

b)

1 + 1 = 8

c)

2 = 8

d)

2C = 8

44.

Write an equation for the model above.

a)

x + 3 = -9

b)

x - 3 = 9

c)

3x + 1 = 9

d)

3x - 1 = 9

45.

What equation is modeled?

a)

3 = 6

b)

3x = 6

c)

x = 6

d)

3 = 6x

46.

What is the equation being modeled?

a)

4x+3 = 5x

b)

3x + 4 = 5

c)

7x = 5

d)

3x - 4 = 5

47.

a)

-3x + 4 = 5

b)

4x - 3 = 5

c)

-4x + 4 = 5

d)

4 - 3 = 5

48.

a)

-2x = 12

b)

2x = 14

c)

x = 15

d)

2x = 8

49.

Solve 2x - 3 = 1

a)

3

b)

2

c)

1

d)

-2

50.

Solve -5t + 9 = 24

a)

-3

b)

3

c)

12

51.

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

52.

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

53.

x + x + 6 = 26

a)

x = 8

b)

x = 10

c)

x = 16

d)

x = 32

54.

x + 2x + 5 + x = 25

a)

x = 3

b)

x = 4

c)

x = 5

d)

x = 6

55.

1 ∕ 2 x + 4 = 15

a)

x = 22

b)

x = 38

c)

x = 5.5

d)

x = -22

56.

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

57.

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

58.

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

59.

Solve the equation:
^x/₃+ 10 = 15

a)

75

b)

15

c)

25

d)

5

60.

Solve:
4 + k/2 = -3

a)

14

b)

-14

c)

4

d)

-2

61.

Level 2

Solve for a

a)

a= -2

b)

a= -7.5

c)

a= 2

d)

a= 6

62.

Level 3

Solve for a

a)

a= 9

b)

a= -9

c)

a= -5

d)

a= 5

63.

Level 3

Solve for a

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

64.

Level 3

Solve for x

a)

x = 2

b)

x = -2

c)

x = -10

d)

x = 4

65.

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

66.

Level 3

Solve for w

a)

w = 2

b)

w = 4

c)

w = 6

d)

w = 8

67.

Level 4

What is the first step to solve this equation?

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

68.

7k - 14 = 42

a)

7

b)

-8

c)

0

d)

8

69.

13= 5m -2

a)

-3

b)

2

c)

3

d)

-2

70.

13 = 11 - 4x

a)

-2

b)

1/2

c)

-1/2

d)

2

71.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

72.

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.

73.

-4x+1=21

a)

x=120

b)

x=5

c)

x=30

d)

x=-5

74.

Solve. -3x - 12 = 15

a)

9

b)

-1

c)

27

d)

-9

75.

9 = 2s + 1

a)

4

b)

-4

c)

3.5

d)

5

76.

3n + 4 = 7

a)

1

b)

-1

c)

3.67

d)

2

77.

-5 = 3m - 14

a)

3

b)

-3

c)

12

d)

-6.3

78.

0 = 8z + 8

a)

-1

b)

1

c)

0

d)

8

79.

Figure out what n equals in this equation:
6n + 4 = -26

a)

n=-6

b)

n= -5

c)

n= 8

d)

n= -4

80.

In the equation 4y +-9 =-36
y = -4

a)

True

b)

francine

c)

False

81.

Solve for a

(a)

82.

Solve for x

(a)

83.

Solve for x

(a)

84.

Solve for n

(a)

85.

Solve for r

(a)

86.

Solve for x

(a)

87.

Solve for x

(a)

88.

Solve for k

(a)

89.

Solve for b

(a)

90.

Solve for x

(a)

91.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

92.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

93.

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.

94.

x/12 - 5 = -6

a)

-12

b)

-19

c)

11

d)

15

95.

Solve: x/2 = -10

a)

20

b)

-20

c)

5

d)

-5

96.

Solve for k:
3k + 5 = 23

a)

k = 4

b)

k = 5

c)

k = 6

d)

k = 7

97.

y/3=12

a)

36

b)

-36

c)

4

d)

-4

98.

6p - 5 =13

a)

12

b)

15

c)

3

d)

-3

99.

^x/₄- 3 = 9

a)

48

b)

24

c)

3

d)

36

100.

4 + k/2 = -3

a)

14

b)

-14

c)

4

d)

-2

101.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

102.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

103.

5=7s-9

a)

2

b)

6

c)

7

d)

8

104.

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

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

hope you get the right answer.

105.

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.

106.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

107.

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.

108.

20 = 2 - a

a)

a= 18

b)

a= -18

c)

a= -10

d)

a= 12

109.

7 + ^a⁄₃= 5

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

110.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

111.

-4x+1=21

a)

x=120

b)

x=5

c)

x=30

d)

x=-5

112.

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

113.

Solve the equation for x:
2x + 3x + 4 = 44

a)

x = 8

b)

x = 9

c)

x = 10

d)

x = 11

114.

Solve the equation for x:
8x - 6x + 4 + 5 = 19

a)

x = 4

b)

x = 5

c)

x = 6

d)

x = 7

115.

3(3x - 6) = 18

a)

x = 4

b)

x = -4

c)

x=8

d)

x= -12

116.

-11 + 3(b + 5) = 7

a)

b = 1

b)

b= -1

c)

b = 3

d)

b = -3

117.

a)

x= 9

b)

x= -9

c)

x= 11

d)

x= -11

118.

Solve for x.
4(2x+8)-3x = 47

a)

13

b)

2

c)

3

d)

7.8

119.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

120.

^x/₄- 3 = 9

a)

48

b)

24

c)

3

d)

36

Solving One and Two Step Equations

Total questions: 120

Worksheet time: 9hrs 16mins

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