Solving Inequalities - Worksheet 3 - 9th Grade

Easy

Solve and graph linear inequalities on a number line (Easy)

20 problems · 15-20 minutes · Skills: inequalities, algebra, graphing

About This Worksheet

This easy-level worksheet contains 20 problems designed for 9th Grade students practicing solving inequalities. Easy worksheets use simpler numbers and straightforward problem types to build confidence and reinforce foundational skills.

Inequalities describe real-world constraints: budget limits, minimum requirements, acceptable ranges. The ability to solve and graph inequalities precisely is a key algebra skill that extends directly into linear programming, optimization, and systems of inequalities.

  • Solve multi-step inequalities and express solutions in inequality notation
  • Flip the inequality sign when multiplying or dividing by a negative number
  • Graph solution sets on a number line using open and closed dots
  • Write inequality solutions using interval notation with parentheses and brackets
  • Test a value from the solution set to verify it satisfies the original inequality

How to Solve: Worked Example

Example Problem: Solve the first problem on the worksheet.
Solution Steps:
  1. Read the problem carefully.
  2. Identify what is being asked.
  3. Use what you know to find the answer.
  4. Check your work.
Answer: See the answer key below
Tip: Take your time and read each problem carefully before answering!
1
2 + 3 =
2
5 + 2 =
3
3 + 5 =
4
4 + 5 =
5
5 + 1 =
6
4 + 5 =
7
3 + 5 =
8
1 + 1 =
9
2 + 2 =
10
2 + 5 =
11
1 + 4 =
12
2 + 4 =
13
3 + 4 =
14
3 + 4 =
15
2 + 2 =
16
3 + 5 =
17
2 + 3 =
18
3 + 3 =
19
1 + 5 =
20
2 + 2 =

Answer Key

1. 52. 73. 84. 95. 66. 97. 88. 29. 410. 711. 512. 613. 714. 715. 416. 817. 518. 619. 620. 4

Frequently Asked Questions

How do I download this solving inequalities - worksheet 3 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 inequalities, algebra, graphing. 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 20 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.