Solving Inequalities - Worksheet 8 - 7th Grade
HardSolve one- and two-step inequalities and graph solutions on a number line (Hard)
23 problems · 15-20 minutes · Skills: inequalities, inverse operations
About This Worksheet
This hard-level worksheet contains 23 problems designed for 7th Grade students practicing solving inequalities. Hard worksheets feature challenging problems including multi-step questions, missing values, and real-world applications to push students further.
The rule for flipping the inequality sign when multiplying by a negative is one of the most frequently forgotten — and most important — rules in algebra. Understanding why it works prevents systematic errors throughout high school math.
- Solve one- and two-step inequalities using inverse operations
- Reverse the inequality symbol when multiplying or dividing by a negative number
- Express solutions using inequality notation and interval language
- Verify solutions by testing a value from the solution set
- Apply multi-step inequality solving to budget and distance constraints
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 solving inequalities - 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 inequalities worksheet cover?
This worksheet focuses on inequalities, inverse operations. It is designed for 7th 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 23 problems. It typically takes 15-20 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.