Ch 23: AEPA Middle Grades Math: Inequalities

About This Chapter

This chapter's brief lessons and quizzes can help you prepare for questions on inequalities on the AEPA Middle Grades Math exam. Use the engaging videos to review the steps to solving linear inequalities and absolute value inequalities prior to taking this test.

AEPA Middle Grades Math: Inequalities - Chapter Summary

Review what an inequality is and how to solve and graph them as you get ready for the AEPA Middle Grades Math test. This chapter's video lessons will give you information and practice that will prepare you for exam questions on the following:

  • Defining an inequality
  • Graphing 1- and 2-variable inequalities
  • Working with set notation, compound inequalities and systems of inequalities
  • Solving and graphing absolute value inequalities
  • Translating math sentences to inequalities
  • Solving 1- and 2-step linear inequalities

Our expert instructors know how to help you prepare for the exam, with fun lessons on important topics. You'll get a chance to work practice problems with inequalities and can complete the lessons at your own pace.

Objectives of the AEPA Middle Grades Math: Inequalities Chapter

Anyone who wants to teach middle grades mathematics in Arizona must have their competency assessed through the AEPA Middle Grades Math exam, which includes questions on number sense, algebra, measurement, statistics and probabilities. Questions regarding inequalities are in the Algebra and Functions section of the exam, and this section makes up 33% of the 150 total questions.

All questions are multiple choice, and ask you to solve a problem or answer a question by choosing from four possible options. The self-assessment quizzes at the end of each lesson in this chapter will give you good practice in answering these types of questions.

9 Lessons in Chapter 23: AEPA Middle Grades Math: Inequalities
Test your knowledge with a 30-question chapter practice test
What is an Inequality?

1. What is an Inequality?

An inequality is an equation that uses greater or less than symbols and is helpful in situations with multiple solutions. Explore inequalities, two-variable inequalities, and how to graph two-variable inequalities.

How to Graph 1- and 2-Variable Inequalities

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

The number of variable inequalities in an equation affects how it is solved and graphed. Learn more about the properties of one-variable and two-variable inequalities and how to graph them on number lines and coordinate planes.

Set Notation, Compound Inequalities, and Systems of Inequalities

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

To solve problems where there are multiple points that require inequality symbols, strategies for compound equalities must be used. Learn about compound inequalities and how to represent these problems through set notation and interval notation and how to use systems of inequalities to solve these types of problems.

Graphing Inequalities: Practice Problems

4. Graphing Inequalities: Practice Problems

Whether an inequality has one or two variables is an important distinction when graphing these types of algebraic expressions. Learn more about when to use a number line or a coordinate plane when graphing inequalities by solving some practice problems.

How to Solve and Graph an Absolute Value Inequality

5. How to Solve and Graph an Absolute Value Inequality

Inequalities express 'greater than' or 'less than' and are useful in situations where the maximum or minimum is known and can be solved like equations. Learn the rules for solving and graphing inequalities with one variable and two variables, including absolute values.

Solving and Graphing Absolute Value Inequalities: Practice Problems

6. Solving and Graphing Absolute Value Inequalities: Practice Problems

Absolute value inequalities must be split into new inequalities in order to be solved. Explore the difference between an AND and an OR compound inequality and how to solve and graph them using a system of inequalities with practice problems.

Translating Math Sentences to Inequalities

7. Translating Math Sentences to Inequalities

Math sentences, also called word problems, can be confusing until they are broken down into simple math problems. Learn how to translate math sentences to inequalities by defining the keywords and symbols used in inequalities and isolating the variable so the equation can be solved.

Solving One-Step Linear Inequalities

8. Solving One-Step Linear Inequalities

One-step linear inequalities are expressed with inequality signs (< or >) instead of equal signs (=) and can be solved in different ways. Learn how addition, subtraction, multiplication, and division are all useful tools to solve these equations.

Solving Two-Step Linear Inequalities

9. Solving Two-Step Linear Inequalities

Two-step linear equations involve isolating the 'x' before solving the problem. Explore the steps involved to solving two step linear inequalities, and use examples to master the solving process.

Chapter Practice Exam
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Practice Final Exam
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