|−12|
Show answer
12
Free printable worksheet
Absolute Value Worksheet
Twenty problems evaluating absolute value and solving basic absolute-value equations and inequalities.
Middle School MathGrades 6-83 pagesAnswer key included
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Download the free PDF
What this worksheet includes
- Twenty problems evaluating absolute value and solving basic absolute-value equations and inequalities.
- 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 absolute value 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 absolute value
Absolute value measures distance from zero, so it is never negative. Opposite integers have the same absolute value because they are equally far from zero.
An equation such as |x − 3| = 5 asks for two positions 5 units from 3. Absolute-value inequalities describe points inside or outside a distance boundary.
Learning objectives
- Evaluate absolute values
- Compare values using distance from zero
- Solve basic absolute-value equations
Skills to review first
- Integer number lines
- Opposite numbers
- One-step equations
Worked example
Follow the reasoning step by step
Solve |x − 3| = 5.
- Interpret the equation as distance from 3.
- Write x − 3 = 5 or x − 3 = −5.
- Solve the first equation to get x = 8.
- Solve the second to get x = −2.
Solution: x = 8 or x = −2.
Try before downloading
Three sample problems
Work each problem, then open the answer to check your result.
−|7|
Show answer
−7
|x + 1| = 4
Show answer
x = 3 or x = −5
Error check
Common mistakes to watch for
- Making every number inside absolute-value bars positive before evaluating
- Writing a negative absolute value
- Finding only one solution to a positive-distance equation