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Solving Two Step Equations - Printable Math Worksheets 7th Grade - Wayground

Solving Two Step Equations

Mary Doherty

Created by Mary Doherty

21 questions

7th Grade

Math

Updated Oct 2026

This Grade 7 mathematics worksheet gives students focused practice solving two-step linear equations. Across 21 questions—20 multiple-choice items and one fill-in-the-blank response—students identify the first operation, recognize inverse operations, isolate a variable, and solve equations involving positive and negative integers, coefficients, and division expressions. Several items also ask students to interpret completed solution steps or determine whether a stated solution is correct. The worksheet is useful for introducing, reinforcing, or checking procedural fluency with two-step equations. Students work through equations such as 5x + 7 = 12, -3a + 8 = 14, and (a + 3) / 7 = 3, building accuracy with operation order and signs while identifying the value of the variable. It is a free printable worksheet with a complete answer key for Grade 7 math practice, independent work, homework, or a short formative assessment.

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Solving Two Step Equations

Total questions: 21

Name
Class
Date
1.
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.
2.

What was done to solve the equation?

(Line 1) 5x - 8 = 32

(Line 2) 5x = 40

(Line 3) x = 8

a)

add 8 to both sides, then divide both sides by 5

b)

add 8 to both sides, then divide both sides by 40

c)

subtract 8 from both sides, then divide both sides by 5

d)

subtract 8 from both sides, then multiply both sides by 5

3.


What is the first step to solve for x. −9 + 3x = 10-9\ +\ 3x\ =\ 10  

a)

Subtract 9 from both sides of the equation.

b)

Add 9 to both sides of the equation.  

c)

Subtract 3 from both sides of the equation.

d)

Add 10 to both sides of the equation.  

4.
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
5.
The goal of solving two-step equations is to:
a)
francine
b)
Find the coefficient 
c)
Find the value of the variable
6.
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
7.
-3a + 8 = 14
a)
a= -2
b)
a= -7.5
c)
a= 2
d)
a= 6
8.
(a + 3)⁄7 = 3
a)
a= 18
b)
a= 21
c)
a= 4
d)
a= 11
9.
3c + 5 = 23
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
10.

3c + 5 = 23

(a)  

11.
Question Image
a)

145

b)

165

c)

180

d)

190

12.
Solve the equation

Solve the equation

a)

28

b)

32

c)

29

d)

-28

13.
7 + a⁄3 = 5
a)
a= -2
b)
a= -6
c)
a= 3
d)
a= 15
14.
In the equation 4y +-9 =-36
y = -4
a)
True
b)
 francine
c)
False
15.
Solve for x.

Solve for x.

a)

x = 56

b)

x = 8/7

c)

x = 24/7

d)

x = 168

16.
Solve.  -3x - 12 = 15
a)
9
b)
-1
c)
27
d)
-9
17.
Solve for w:
-6w + 1 = -11
a)
2
b)
1.2
c)
12
d)
-2
18.
Solve for a

Solve for a

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

19.


5x−1=195x-1=19  

a)

x=4x=4  

b)

x=10x=10  

c)

x=5x=5  

d)

x=15x=15  

20.

x4+8=10\frac{x}{4}+8=10  

a)

x=−4x=-4  

b)

x=−8x=-8  

c)

x=8x=8  

d)

x=16x=16  

21.
Solve for y.
-2y=20
a)
y=-10
b)
y=2
c)
y=-20
d)
y=15
WaygroundAnswer Key

Solving Two Step Equations

Total questions: 21

1.
b) Subtract 11 from both sides
2.
a)

add 8 to both sides, then divide both sides by 5

3.
b)

Add 9 to both sides of the equation.  

4.
d) Subtract 7
5.
c) Find the value of the variable
6.
a) Inverse operations
7.
a) a= -2
8.
a) a= 18
9.
b) c = 6
10.
6,
11.
b)

165

12.
c)

29

13.
b) a= -6
14.
c) False
15.
d)

x = 168

16.
d) -9
17.
a) 2
18.
b)

a= -6

19.
a)

x=4x=4  

20.
c)

x=8x=8  

21.
a) y=-10

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FAQs

What does the Solving Two Step Equations worksheet cover?

This Grade 7 worksheet focuses on solving two-step linear equations by choosing the correct first operation, applying inverse operations, isolating the variable, and finding its value. Its 21 items include 20 multiple-choice questions and one fill-in-the-blank question, with equations containing positive and negative numbers, coefficients, and division expressions.

How can I use this worksheet to teach students to solve two-step equations?

Use the first-step questions to model the idea of undoing addition or subtraction before undoing multiplication or division, and emphasize that the same operation must be applied to both sides. Then have students explain the steps in an item such as 5x - 8 = 32, solve the equation independently, and discuss how inverse operations isolate the variable. Finish with the fill-in-the-blank version of 3c + 5 = 23 to check whether students can produce the solution without answer choices.

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

Watch for students choosing an operation that changes the equation rather than undoing the term attached to the variable, such as dividing before removing a constant. Students may also mishandle negative signs when solving equations such as -3a + 8 = 14 or 7 + a / 3 = 5, or select a familiar-looking option without carrying out both steps. The fill-in-the-blank item can reveal whether a student can independently state the solution rather than recognize it from multiple-choice options.

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

The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for checking the 20 multiple-choice responses and the fill-in-the-blank solution. For printable submissions, scan student work with the Wayground for Teachers app to support grading and review of students’ equation-solving accuracy.

How can I differentiate this two-step equations worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or increase the font size so the equations, operation choices, and fill-in-the-blank response are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language when those changes support access to the two-step equation practice.

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 help students build essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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