Absolute Value Equations - Worksheet 8 - 9th Grade
HardSolve equations and inequalities involving absolute value (Hard)
27 problems · 20-25 minutes · Skills: absolute value, algebra, equation solving
About This Worksheet
This hard-level worksheet contains 27 problems designed for 9th Grade students practicing absolute value equations. Hard worksheets feature challenging problems including multi-step questions, missing values, and real-world applications to push students further.
Absolute value equations introduce the concept of two cases — a key algebraic technique. The same case-splitting strategy appears in piecewise functions, optimization, and real analysis. Absolute value inequalities also build intuition for interval representations of solutions.
- Set up two cases when solving an absolute value equation
- Solve each case and check for extraneous solutions
- Solve and graph absolute value inequalities
- Recognize when an absolute value equation has no solution due to a negative right side
- Write absolute value inequality solutions as compound inequalities or in interval notation
How to Solve: Worked Example
- Read the problem carefully.
- Identify what is being asked.
- Use what you know to find the answer.
- Check your work.
Answer Key
Frequently Asked Questions
How do I download this absolute value equations - worksheet 8 worksheet?
Click the "Download PDF / Print" button at the top of the worksheet. You can save it as a PDF or print it directly. The answer key will be on a separate page.
How do I find worksheets at different difficulty levels?
Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.
What skills does this linear equations & inequalities worksheet cover?
This worksheet focuses on absolute value, algebra, equation solving. It is designed for 9th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.
Can I use this worksheet in my classroom?
Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.
How many problems are on this worksheet?
This worksheet contains 27 problems. It typically takes 20-25 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.