2x − 7 = 11
Show answer
x = 9
Free printable worksheet
Two-Step Equations Worksheet
Twenty two-step equations using inverse operations, grouping, decimals, and fractions.
Middle School MathGrades 6-83 pagesAnswer key included
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What this worksheet includes
- Twenty two-step equations using inverse operations, grouping, decimals, and fractions.
- 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 two-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 two-step equations
A two-step equation usually reverses addition or subtraction before reversing multiplication or division. Thinking of the expression as a sequence of operations makes the undoing order clear.
Keep the variable term intact during the first step, then divide by its coefficient. Substitute the result to verify both steps.
Learning objectives
- Undo operations in reverse order
- Solve equations with signed coefficients
- Verify solutions
Skills to review first
- One-step equations
- Integer arithmetic
- Combining simple terms
Worked example
Follow the reasoning step by step
Solve 3x + 5 = 20.
- Subtract 5 from both sides.
- Simplify to 3x = 15.
- Divide both sides by 3.
- Check 3(5) + 5 = 20.
Solution: x = 5.
Try before downloading
Three sample problems
Work each problem, then open the answer to check your result.
−5y + 4 = 24
Show answer
y = −4
n ÷ 3 + 2 = 7
Show answer
n = 15
Error check
Common mistakes to watch for
- Dividing before removing the constant
- Dividing only one side
- Losing the sign of a coefficient