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Solving Two-Step Equations with Fractions - Printable Math Worksheets 8th Grade - Wayground

Solving Two-Step Equations with Fractions

Rachael Bremer

Created by Rachael Bremer

10 questions

8th Grade

Math

Updated Oct 2026

Solving Two-Step Equations with Fractions is a Grade 8 mathematics worksheet that helps students solve linear equations by applying inverse operations in the correct sequence. Across 10 multiple-choice questions, students identify the goal of solving an equation, choose the first operation for equations such as 3x - 5 = 20, solve equations with positive and negative coefficients, and determine a variable when a fractional coefficient is present, as in 3/5x = 6. This free printable worksheet supports focused practice with maintaining equality while isolating the variable. The multiple-choice format lets teachers quickly check whether students understand operation order, sign changes, and division or multiplication involving coefficients, while the complete answer key makes review and feedback efficient. Use it for independent practice, a quick formative assessment, or guided discussion of why each inverse operation is chosen.

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Solving Two-Step Equations with Fractions

Total questions: 10

Name
Class
Date
1.
The goal of solving two-step equations is to:
a)
francine
b)
Find the coefficient 
c)
Find the value of the variable
2.
What is the first step in solving the following equation?
3x - 5 = 20
a)
multiply both sides by 5
b)
add 5 to both sides
c)
divide both sides by 5
d)
subtract both sides by 5
3.

67x=6\frac{6}{7}x=6  

a)

3

b)

8

c)

7

4.
-3a + 8 = 14
a)
a= -2
b)
a= -7.5
c)
a= 2
d)
a= 6
5.
33 = 4a - 7
a)
a=-10
b)
a=10
c)
a=4.5
6.

3+14a=313+\frac{1}{4}a=31  

a)

a= 28

b)

a= 112

c)

a= 7

d)

a= 67

7.

23x+4=−26\frac{2}{3}x+4=-26

a)

x= -45

b)

x= -40

c)

x=5

8.

34𝑥−4=11\frac{3}{4}𝑥−4=11

a)

x=20

b)

x=12

c)

x=2

9.
Solve for x:
-6x + 1 = -11
a)
x = 2
b)
x = 1.2
c)
x = 12
d)
x = -2
10.
Solve for x.
3/5x = 6
a)
x = 10
b)
x = 33
c)
x = 11 1/3
d)
x = 90
WaygroundAnswer Key

Solving Two-Step Equations with Fractions

Total questions: 10

1.
c) Find the value of the variable
2.
b) add 5 to both sides
3.
c)

7

4.
a) a= -2
5.
b) a=10
6.
b)

a= 112

7.
a)

x= -45

8.
a)

x=20

9.
a) x = 2
10.
a) x = 10

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FAQs

What does the Solving Two-Step Equations with Fractions worksheet cover?

This Grade 8 worksheet uses 10 multiple-choice questions to practise isolating a variable in two-step linear equations. Students identify the purpose of solving an equation, select the correct first inverse operation, solve equations with positive and negative coefficients, and solve an equation with a fractional coefficient such as 3/5x = 6.

How can I use this worksheet to teach solving two-step equations with fractions?

Begin by modeling how to undo the constant term first and then undo the coefficient while performing the same operation on both sides. Use the question about 3x - 5 = 20 to discuss why adding 5 is the first step, then connect that process to the fractional-coefficient item by showing that multiplying by the reciprocal isolates the variable. Have students explain why each selected operation preserves equality before completing the remaining multiple-choice equations.

What mistakes should I watch for when students complete this two-step equations worksheet?

Watch for students choosing an operation that removes the coefficient before addressing the constant, such as dividing instead of adding 5 in 3x - 5 = 20. They may also lose a negative sign when solving equations such as -3a + 8 = 14 or -6x + 1 = -11, or mishandle the fractional coefficient in 3/5x = 6 by multiplying or dividing in the wrong direction. Ask students to substitute their answer back into the original equation to check it.

How do I assign and grade this two-step equations worksheet?

On Wayground, you can assign this worksheet as a printable PDF or as a digital quiz, and it includes a complete answer key for all 10 multiple-choice questions. Printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable format also gives schools an option for reducing screen time during equation practice.

How can I differentiate this worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or choose a larger font size so the equations and multiple-choice options are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language. These changes preserve the worksheet’s two-step equation format while making the prompts and answer choices more accessible.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to support mastery of essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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