Solving One-Step Inequalities

8th Grade55 minutes

Learning Objective

I can solve one-step inequalities and graph the solutions on a number line.

Key Concepts

When you multiply or divide both sides of an inequality by a negative number, you must swap the inequality sign.

To solve multi-step inequalities, you can use the distributive property and combine like terms to simplify each side before isolating the variable.

The solution to an inequality can be expressed using a number line, where an open circle indicates the endpoint is not included and a closed circle indicates that it is included in the solution.

Practice Questions

This lesson includes 12 practice questions to reinforce learning.

View questions preview

1. Solve the inequality: x + 5 < 9

2. Solve for x: 2x > 10

3. Solve the inequality: -3x ≤ 12

...and 9 more questions

Educational Video

Multi-step inequalities | Linear inequalities | Algebra I | Khan Academy

Khan Academy

Create Your Own Lesson

Generate a custom lesson plan like this one in minutes with Insta~Lesson