Ch 17: AEPA Math: Rational Expressions

About This Chapter

Use these short, entertaining video lessons to study rational expressions as you prepare for your AEPA Math assessment. If you have any questions about the information in this chapter, ask our instructors for assistance.

AEPA Math: Rational Expressions - Chapter Summary

This chapter reviews the important rational expressions concepts you need to know for the AEPA Math certification test. Quick, engaging video lessons cover the following topics:

  • Multiplication and division rules for rational expressions
  • Processes for adding and subtracting rational expressions
  • Rational equations and the rules for solving them
  • Methods for simplifying rational expressions
  • How to analyze a graphical representation of a rational function

Each video comes with a companion transcript that highlights key terms and ideas, providing a great tool for additional review. Use the lesson quizzes to evaluate your mastery of the information. If you get stuck, don't hesitate to reach out to our instructors.

AEPA Math: Rational Expressions Chapter Objectives

You will have four and a quarter hours to complete all 150 multiple-choice questions on the AEPA certification assessment. The lesson quizzes in this chapter are patterned after items from the test, allowing you to get accustomed to the exam format and evaluate your test-taking pace.

Test content covers five categories, which are weighted as follows in regard to your score: mathematical processes and number sense (19%); trigonometry and calculus (19%); measurement and geometry (19%); statistics, probability and discrete mathematics (19%); and patterns, algebra and functions (24%). You will be able to review your results as soon as you complete the assessment.

6 Lessons in Chapter 17: AEPA Math: Rational Expressions
Test your knowledge with a 30-question chapter practice test
How to Multiply and Divide Rational Expressions

1. How to Multiply and Divide Rational Expressions

Multiplying and dividing rational polynomial expressions is exactly like multiplying and dividing fractions. Like fractions, we will reduce. With polynomial expressions we use factoring and canceling. I also give you a little mnemonic to help you remember when you need a common denominator and when you don't.

How to Add and Subtract Rational Expressions

2. How to Add and Subtract Rational Expressions

Adding and subtracting rational expressions brings everything you learned about fractions into the world of algebra. We will mix common denominators with factoring and FOILing.

How to Solve a Rational Equation

3. How to Solve a Rational Equation

A rational equation is one that contains fractions. Yes, we will be finding a common denominator that has 'x's. But no worries! Together we will use a process that will help us solve rational equations every time!

Division and Reciprocals of Rational Expressions

4. Division and Reciprocals of Rational Expressions

In this video lesson, you will learn how to divide and take the reciprocal of any rational expression. Learn the one easy step you take to be able to find your answer quickly and easily.

Simplifying Complex Rational Expressions

5. Simplifying Complex Rational Expressions

When it comes to fractions, things may seem to get really complicated and scary when you have a fraction on top of a fraction. But never fear, after watching this video lesson, you will be able to simplify these expressions like a pro.

Analyzing the Graph of a Rational Function: Asymptotes, Domain, and Range

6. Analyzing the Graph of a Rational Function: Asymptotes, Domain, and Range

A rational function arises from the ratio of two polynomial expressions. The graphs of rational functions often have distinct characteristics. In this lesson, we look at how to analyze some of those characteristics.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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Other Chapters

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