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pre-algebra two-step and multi-step equations. - Printable Math Worksheets 7th - 9th Grade - Wayground

pre-algebra two-step and multi-step equations.

Breah Ponce

Created by Breah Ponce

10 questions

7th - 9th Grade

Math

Updated Jun 2025

This Grade 7–9 mathematics worksheet gives students focused practice solving two-step and multi-step equations for x. The 10 multiple-choice questions include integers, decimals, fractions, parentheses, a variable in a numerator, and a proportion-style equation, requiring students to apply inverse operations, simplify accurately, and manage positive and negative values. Use this worksheet for independent practice, review, or a quick check of equation-solving fluency after instruction. Its varied numerical forms help reveal whether students can transfer the same solving process beyond whole-number equations, while the answer choices make common calculation and sign errors visible for discussion. This free printable worksheet includes a complete answer key for efficient checking and teacher feedback. It is designed for middle school learners who are developing confidence with pre-algebra equation-solving procedures.

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pre-algebra two-step and multi-step equations.

Total questions: 10

Name
Class
Date
1.

Solve for x.


5x + 4 = -16

a)

x = -25

b)

x = -2.4

c)

x = -4

d)

x = 4

2.

Solve for x.

3 - 3x = 18

a)

x = -7

b)

x = 7

c)

x = 5

d)

x = -5

3.

Solve for x.


3.2 + 0.5x = -2.3

a)

x = -11

b)

x = 1.8

c)

x = -1.8

d)

x = 11

4.

Solve for x.


4(x - 1) = -24

a)

x = 5

b)

x = -5

c)

x = -5.75

d)

x = -6

5.

Solve for x.

 67x − 9 = 27\frac{6}{7}x\ -\ 9\ =\ 27  

a)

x = 18

b)

x = 21

c)

x = 36

d)

x = 42

6.

Solve for x. 

 1 + x9=5\frac{1\ +\ x}{9}=5  

a)

x = -44

b)

x = 44

c)

x = 5

d)

x = 46

7.

Solve for x.

 3x − 12=5\frac{3x\ -\ 1}{2}=5  

a)

x =  113\frac{11}{3}  

b)

x =  311\frac{3}{11}  

c)

x =  163\frac{16}{3}  

d)

x =  316\frac{3}{16}  

8.

Solve for x.

 x5− 3 = 12\frac{x}{5}-\ 3\ =\ 12  

a)

x = 63

b)

x = 3

c)

x = 75

d)

x = 40

9.

Solve for x. 



 9.6x = 2.45.6\frac{9.6}{x}\ =\ \frac{2.4}{5.6}  

a)

x = 4

b)

x = 53.76

c)

x = 22.4

d)

x = -4

10.

Solve for x.

 23x + 12=−312\frac{2}{3}x\ +\ \frac{1}{2}=-3\frac{1}{2}  

a)

x = 6

b)

x = -6

c)

x =  92\frac{9}{2}  

d)

x = -2

WaygroundAnswer Key

pre-algebra two-step and multi-step equations.

Total questions: 10

1.
c)

x = -4

2.
d)

x = -5

3.
a)

x = -11

4.
b)

x = -5

5.
d)

x = 42

6.
b)

x = 44

7.
a)

x =  113\frac{11}{3}  

8.
c)

x = 75

9.
c)

x = 22.4

10.
b)

x = -6

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FAQs

What does this worksheet cover, and how does it help students solve equations?

This worksheet provides 10 multiple-choice problems in which students solve for x in two-step and multi-step equations. The set includes integer, decimal, and fractional coefficients, parentheses, fractional expressions, and a proportion-style equation, so students practise applying inverse operations and checking calculations across different equation forms.

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

Introduce a consistent sequence: simplify or clear parentheses when needed, undo addition or subtraction, undo multiplication or division, and check the selected value by substitution. Work through one integer equation first, then compare it with a decimal or fractional item from this worksheet so students can discuss how the procedure stays the same while the arithmetic changes.

What mistakes should I watch for on this equation-solving worksheet?

Watch for sign errors when students isolate x, especially in equations such as 3 − 3x = 18, and for failing to distribute a factor in an expression such as 4(x − 1). Students may also multiply or divide by the wrong coefficient in fractional forms, mishandle decimals, or select a distractor without substituting the answer back into the original equation.

How do I assign and grade this worksheet?

This worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for all 10 multiple-choice equations. For printable submissions, you can grade student work by scanning it with the Wayground for Teachers app.

How can I differentiate this worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing and font size so the equation choices and fractional expressions are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language when those options support access to the equation-solving tasks.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive 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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