# Chapter 7: Equations, Inequalities and Functions

**At Grade**Created by: CK-12

## Introduction

In Math 7, the learning content is divided into Concepts. Each Concept is complete and whole providing focused learning on an indicated objective. Theme-based Concepts provide students with experiences that integrate the content of each Concept. Students are given opportunities to practice the skills of each Concept through real-world situations, examples, guided practice and independent practice sections. There are also video links provided to give students an audio/visual way of connecting with the content. In this Chapter, students will engage with Concepts on writing expressions and equations, simplifying expressions, solving one-step equations, solving two-step equations, solving inequalities, identifying and understanding functions and graphing functions.

## Chapter Outline

- 7.1. Addition and Subtraction Phrases as Equations
- 7.2. Multiplication and Division Phrases as Equations
- 7.3. Single Variable Equations from Verbal Models
- 7.4. Simplify Sums or Differences of Single Variable Expressions
- 7.5. Simplify Products or Quotients of Single Variable Expressions
- 7.6. Simplify Variable Expressions Involving Multiple Operations
- 7.7. Single Variable Addition Equations
- 7.8. Single Variable Subtraction Equations
- 7.9. Single Variable Multiplication Equations
- 7.10. Single Variable Division Equations
- 7.11. Two-Step Equations from Verbal Models
- 7.12. Two-Step Equations and Properties of Equality
- 7.13. Inequalities on a Number Line
- 7.14. One-Step Inequalities
- 7.15. Domain and Range of a Function
- 7.16. Input-Output Tables for Function Rules
- 7.17. Function Rules for Input-Output Tables
- 7.18. Graphs of Linear Equations
- 7.19. Linear and Non-Linear Function Distinction
- 7.20. Linear and Non-Linear Patterns of Change

### 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 writing expressions and equations, simplifying expressions, solving one-step equations, solving two-step equations, solving inequalities, identifying and understanding functions and graphing functions.