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Ch 13: AEPA Math: Inequalities

About This Chapter

Arizona's AEPA Math exam has been replaced by the National Evaluation Series (NES) Math exam. This exam features questions on inequalities. This chapter of our comprehensive study guide will help you review in exciting and interesting ways.

NES Math: Inequalities - Chapter Summary

This chapter explores the many different ways a mathematical inequality can be expressed. Whether it be as an absolute value comparison, or a linear inequality, or an inequality comparing two equations with multiple variables, our video lessons will help you remember the ideas behind these expressions. We will also help you solve and graph inequalities. By the end of the chapter, you will have reviewed:

  • What is an inequality?
  • Solving linear and absolute value inequalities
  • Graphing inequalities
  • Compound inequalities, set notation, and systems of inequalities
  • Quadratic inequalities, their graphs, and how to solve them

Be sure to take our practice quizzes after each lesson. These practice problems are similar to what you will see on your upcoming exam. By timing yourself for each problem and exposing yourself to these question types, you will be better able to succeed on your test and gain your teaching license.

8 Lessons in Chapter 13: AEPA Math: Inequalities
Test your knowledge with a 30-question chapter practice test
What is an Inequality?

1. What is an Inequality?

Deciding how to spend your money can be a tricky thing. Should you save it, invest it, or enjoy it? Learn how inequalities can help you make your decision!

Solving Linear Inequalities: Practice Problems

2. Solving Linear Inequalities: Practice Problems

Linear inequalities may look intimidating, but they're really not much different than linear equations. In this lesson, we'll practice solving a variety of linear inequalities.

How to Graph 1- and 2-Variable Inequalities

3. How to Graph 1- and 2-Variable Inequalities

So an inequality is just an equation with a less than or greater than symbol. But what is the difference between 1 and 2 variable inequalities? What does have a greater than or equal to symbol change? When do you use a number line instead of a coordinate plane? Get those answers here!

Set Notation, Compound Inequalities, and Systems of Inequalities

4. Set Notation, Compound Inequalities, and Systems of Inequalities

In this lesson, we'll explore the conditions of compound inequalities and learn how to express them using set notation and interval notation. Test you knowledge afterward with a short quiz.

The Absolute-Value Inequality: Definition & Example

5. The Absolute-Value Inequality: Definition & Example

After watching this video lesson, you will be able to solve absolute value inequalities. Learn how you can easily set up your problem to successfully solve your problem each and every time.

How to Solve and Graph an Absolute Value Inequality

6. How to Solve and Graph an Absolute Value Inequality

Taking two skills and combining them to make a more complicated problem is a classic tactic in mathematics. If you feel confident with absolute values and inequalities, see if you can tackle them with their powers combined here!

Graphing & Solving Quadratic Inequalities: Examples & Process

7. Graphing & Solving Quadratic Inequalities: Examples & Process

When you finish watching this video lesson, you will be able to graph and solve your own quadratic inequality. Learn what steps you need to take and what to watch for.

Graphing a System of Quadratic Inequalities: Examples & Process

8. Graphing a System of Quadratic Inequalities: Examples & Process

What is a system of quadratic inequalities? What are the steps to graphing them? Find the answers to these questions by watching this video lesson. When you finish, you will be able to graph these yourself.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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Other Chapters

Other chapters within the AEPA Mathematics (NT304): Practice & Study Guide course

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