Solving Inequalities - Worksheet 7 - 6th Grade
MediumWrite and solve one-step inequalities and graph solutions (Medium)
14 problems · 15-20 minutes · Skills: inequalities, number line
About This Worksheet
This medium-level worksheet contains 14 problems designed for 6th Grade students practicing solving inequalities. Medium worksheets introduce larger numbers and varied question formats to deepen understanding and build fluency.
Inequalities describe a range of solutions, not just one. They model real-world constraints — budgets, minimum requirements, speed limits — and are a cornerstone of optimization problems in algebra and beyond.
- Write inequalities using <, >, ≤, and ≥ symbols
- Solve one-step inequalities using inverse operations
- Graph solution sets of inequalities on a number line
- Translate real-world constraints into inequality statements
- Flip the inequality sign when multiplying or dividing both sides by a negative
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 7 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 expressions and equations worksheet cover?
This worksheet focuses on inequalities, number line. It is designed for 6th 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 14 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.