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Write and Solve Two Step Equations Review - Printable Math Worksheets 7th Grade - Wayground

Write and Solve Two Step Equations Review

Kourtney Garner

Created by Kourtney Garner

11 questions

7th Grade

Math

Updated Oct 2026

Write and Solve Two Step Equations Review is a Grade 7 math worksheet with 11 multiple-choice questions focused on writing and solving two-step linear equations. Students identify the correct first inverse operation, select the sequence of steps needed to isolate a variable, solve equations with negative coefficients and constants, and translate verbal statements, rental or service charges, and a visual model into equations. The questions also reinforce recognizing how fixed fees and per-unit rates appear in an equation, such as a deposit plus an hourly charge. This format gives teachers a quick way to check whether students can connect real-world descriptions and models to algebraic expressions before solving. It is a free printable worksheet with a complete answer key, suitable for Grade 7 review, independent practice, or a focused formative assessment.

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Write and Solve Two Step Equations Review

Total questions: 11

Name
Class
Date
1.
What is the first step to solve this equation:
-3x + 11 = 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.

−5x−6=−16-5x-6=-16  

a)

x=−2x=-2  

b)

x=10x=10  

c)

x=−6x=-6  

d)

x=2x=2  

3.
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
4.


5x−1=195x-1=19  

a)

x=4x=4  

b)

x=10x=10  

c)

x=5x=5  

d)

x=15x=15  

5.

What are the steps to solve for b in the equation below?


5b - 6 = 24

a)

Add 6 to both sides then divide both sides by 5

b)

Add 6 to both sides then 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

6.

10 less that three times a number is 8.  

a)

10 - 3x = 8 

b)

3x + 10 = 8

c)

3x - 10 = 8

d)

10x - 3 = 8

7.
Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an equation to find out how many hours, h, they rented the Boat if the total cost was $33.
a)
h = 2(9) + 15
b)
33 = 15h + 2
c)
h = 15(9) + 2
d)
33 = 2h + 15
8.
Write an equation to represent the model

Write an equation to represent the model

a)

x + 1 = 1

b)

4x+7= 11

c)

11x = 11

d)

4x = 11

9.
-3a + 8 = 14
a)
a= -2
b)
a= -7.5
c)
a= 2
d)
a= 6
10.

True or False

To move a coefficient or constant to the other side of the equation I have to use inverse operations

a)

True

b)

False

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.

WaygroundAnswer Key

Write and Solve Two Step Equations Review

Total questions: 11

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

x=2x=2  

3.
a) 7x + 35 = 63
4.
a)

x=4x=4  

5.
a)

Add 6 to both sides then divide both sides by 5

6.
c)

3x - 10 = 8

7.
d) 33 = 2h + 15
8.
b)

4x+7= 11

9.
a) a= -2
10.
a)

True

11.
c)

Add 11 to both sides

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FAQs

What does this two-step equations worksheet help students learn?

This worksheet uses 11 multiple-choice items to practice writing and solving two-step linear equations. Students choose the correct first inverse operation, identify the proper sequence for isolating a variable, solve equations such as -3a + 8 = 14, and translate word problems, statements, and a model into equations.

How can I use this worksheet to teach writing and solving two-step equations?

Begin by modeling how to undo the constant term and then the coefficient, emphasizing inverse operations at each step. Use the word-problem items to have students underline the fixed fee and per-unit rate before choosing an equation, then discuss why forms such as 7x + 35 = 63 represent the situation. Finish with the model-based item as a check that students can connect a visual representation to an equation.

What mistakes should I watch for on this two-step equations review?

Watch for students choosing an operation that does not remove the constant first, such as dividing before addressing the added or subtracted number. Students may also reverse the fixed fee and rate in the car or boat rental equations, mishandle negative coefficients, or select an equation that matches only part of a verbal statement. Ask them to identify what each number represents and substitute their solution back into the equation.

How do I assign and grade this worksheet?

You can assign Write and Solve Two Step Equations Review as a printable PDF or as a digital quiz on Wayground. The worksheet includes a complete answer key for checking the 11 multiple-choice responses, and printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable format can also support schools that are reducing screen time.

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

In the worksheet’s Advanced Settings, adjust font spacing or font size to make the multiple-choice equations and answer options easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language when those changes support access to the algebra vocabulary and word problems.

Where can I find more free 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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