# Chapter 7: Systems of Equations and Inequalities; Counting Methods

Created by: CK-12

James is trying to expand his pastry business to include cupcakes and personal cakes. He has a limited amount of manpower to decorate the new items and a limited amount of material to make the new cakes. In this chapter, you will learn how to solve this type of situation.

Every equation and inequality you have studied thus far is an example of a **system**. A system is a set of equations or inequalities with the same variables. This chapter focuses on the methods used to solve a system such as graphing, substitution and elimination. You will combine your knowledge of graphing inequalities to solve a system of inequalities.

## Chapter Outline

- 7.1. Linear Systems by Graphing
- 7.2. Solving Systems by Substitution
- 7.3. Solving Linear Systems by Addition or Subtraction
- 7.4. Solving Linear Systems by Multiplication
- 7.5. Special Types of Linear Systems
- 7.6. Systems of Linear Inequalities
- 7.7. Probability and Permutations
- 7.8. Probability and Combinations
- 7.9. Chapter 7 Review
- 7.10. Chapter 7 Test

### Chapter Summary

### Image Attributions

Share this:

+

Share this Resource

Enter atleast one email

Enter a valid email

Systems of Equations and Inequalities; Counting Methods

Hi! I have found this great resource at CK-12...

Systems of Equations and Inequalities; Counting Methods

http://www.ck12.org/book/CK-12-Algebra-Basic/r1/section/7.0/
send

cancel

Thanks

Your messsage has been sent!

Thank you for sharing CK-12 resource

Done

Hi! I have found this great resource at CK-12...

Systems of Equations and Inequalities; Counting Methods

http://www.ck12.org/book/CK-12-Algebra-Basic/r1/section/7.0/
## Description

This chapter introduces students to linear systems of equations and inequalities as well as probability and combinations. Operations on linear systems are covered, including addition, subtraction, multiplication, and division.

## Difficulty Level:

Basic## Tags:

## Subjects:

## Date Created:

Feb 22, 2012## Last Modified:

Dec 11, 2014
Files can only be attached to the latest version of None