# Chapter 3: Single Variable Equations and Inequalities

**Basic**Created by: CK-12

## Introduction

In Math 8, the learning content is divided into Concepts. Each Concept is whole and complete providing focused learning on an indicated objective. Real-world Concepts involve the student in the learning objective of each Concept. Students are given opportunities to practice skills through real-world situations, examples, guided practice and independent practice sections. There are video links provided for Concept connections with technology. In this Chapter, students will engage with a variety of material including solving one-step equations, solving two-step equations, solving equations using the distributive property and by combining like terms, solving equations with variables on both sides of the equation, solving inequalities using the four operations, solving equations including rational numbers and using equations and inequalities to solve real-world dilemmas.

## Chapter Outline

- 3.1. Solve Equations Involving Inverse Properties of Addition and Multiplication
- 3.2. Solve Equations Involving Inverse Properties of Addition and Division
- 3.3. Solve Equations Involving Inverse Properties of Subtraction and Multiplication
- 3.4. Solve Equations Involving Inverse Properties of Subtraction and Division
- 3.5. Solve Equations Involving Combining Like Terms
- 3.6. Solve Equations with the Distributive Property
- 3.7. Solve Equations with the Distributive Property and Combining Like Terms
- 3.8. Solve Equations with a Variable on Both Sides
- 3.9. Solve Multi-Step Equations Involving Decimals
- 3.10. Solve Multi-Step Equations Involving Fractions
- 3.11. Solve Multi-Step Equations Involving Rational Numbers
- 3.12. Write and Graph Inequalities
- 3.13. Solve Inequalities Using Addition or Subtraction
- 3.14. Solve Inequalities Using Multiplication
- 3.15. Solve Inequalities Using Division
- 3.16. Solve Inequalities Involving Combining Like Terms
- 3.17. Solve Inequalities by Using the Distributive Property
- 3.18. Write and Solve Multi-Step Inequalities Given Problem Situations

### Chapter Summary

## Summary

Having completed this chapter, students are now ready to move on to the next Chapter. Each Concept has provided students with an opportunity to engage and practice skills in many Concepts including solving one-step, two-step and multi-step equations, solving equations by using combining like terms and the distributive property, solving equations with decimals and fractions, understanding inequalities and solving inequalities.