x + 13 = 20
Show answer
x = 7
Free printable worksheet
One-Step Equations Worksheet
Twenty one-step equations with integers, decimals, fractions, and negative values.
Middle School MathGrades 6-83 pagesAnswer key included
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Download the free PDF
What this worksheet includes
- Twenty one-step equations with integers, decimals, fractions, and negative values.
- 3-page printable PDF with a complete answer key
- Designed for Grades 6-8 middle school math practice
- Available as an immediate free download with no email required
How to use it
Use this one-step equations worksheet for guided practice, independent review, homework, tutoring sessions, or a quick skills check. The spacious layout is designed to leave room for students to show their work rather than guess from crowded answer choices.
After students finish, compare their reasoning with the included answer key. When an answer is incorrect, have the student locate the first step where their work changed direction before trying the problem again.
Who this practice is for
This resource is designed for grades 6-8 students working on middle school math. Teachers, tutors, homeschool families, and parents can preview the first page before deciding whether the level and spacing fit the student.
Looking for a broader sequence? Browse all Middle School Math worksheets.
Topic guide
How to approach one-step equations
A one-step equation is solved with one inverse operation. Addition undoes subtraction, subtraction undoes addition, multiplication undoes division, and division undoes multiplication.
Perform the same operation on both sides and check by substituting the solution into the original equation.
Learning objectives
- Choose an inverse operation
- Solve one-step equations
- Check solutions by substitution
Skills to review first
- Integer operations
- Meaning of equality
- Basic operation facts
Worked example
Follow the reasoning step by step
Solve −4x = 28.
- The variable is multiplied by −4.
- Divide both sides by −4.
- Simplify x = −7.
- Check −4(−7) = 28.
Solution: x = −7.
Try before downloading
Three sample problems
Work each problem, then open the answer to check your result.
y − 8 = −3
Show answer
y = 5
n ÷ 6 = 4
Show answer
n = 24
Error check
Common mistakes to watch for
- Using the same operation instead of its inverse
- Changing only one side
- Ignoring a negative coefficient