Solving One-Step Linear Inequalities: A Comprehensive Guide

Unlock the power of one-step linear inequalities with our easy-to-follow guide. Learn essential techniques, practice with real-world examples, and boost your algebra skills today.

What You'll Learn

Solve one-step inequalities using inverse operations like division and multiplication

Recognize when to flip the inequality sign when multiplying or dividing by negatives

Verify solutions by substituting values back into the original inequality

Graph inequality solutions on a number line using open and closed circles

Apply one-step inequalities to solve real-world problems involving money and constraints

What You'll Practice

Solving inequalities with positive coefficients (7x 63)

Solving inequalities with negative coefficients and flipping signs

Checking if given values satisfy an inequality

Word problems involving minimum purchase amounts and income requirements

Why This Matters

Mastering one-step inequalities gives you the foundation for understanding ranges of solutions rather than single answers. You'll use these skills to model real-world constraints like budgets, minimum requirements, and optimization problems throughout algebra and beyond.

Before You Start — Make Sure You Can:

Evaluating algebraic expressions Solving linear equations using multiplication and division Solving two-step linear equations: ax + b = c, x/a + b = cSolving linear equations using distributive property: a(x + b) = c

This Unit Includes

13 Video lessons

Practice exercises

Learning resources

Skills

Inequalities

Inverse Operations

Number Line Graphing

Sign Flipping Rule

Word Problems

Solution Sets

OH Curriculum Aligned