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Ch 25: CEOE Advanced Math: Rational Expressions & Function Graphs

About This Chapter

Discover more details about rational expressions and function graphs by reviewing this chapter. Our video lessons, quizzes and other study aids can help you get ready to take the CEOE Advanced Math exam.

CEOE Advanced Math: Rational Expressions & Function Graphs - Chapter Summary

You have the opportunity to recall useful details about rational expressions by checking out the short lessons in this chapter as you study for the CEOE Advanced Math test. They are designed to teach you about:

  • Dividing and multiplying rational expressions
  • Subtracting and adding rational expressions
  • Solving a rational equation
  • Graphing rational functions
  • Analyzing graphs of rational functions

You can watch our lessons on a computer or mobile device. They're available anytime, and you can view them as many times as you need, using the video tags in the timeline to jump back to specific points you want to review. Short multiple-choice lessons quizzes and a chapter exam allow you to practice answering questions in the format you'll see on the test and also to assess your knowledge.

CEOE Advanced Math: Rational Expressions & Function Graphs Chapter Objectives

The goal of the CEOE Advanced Math test is to assess your understanding of different math-related concepts so you can get a certification to teach the subject in Oklahoma. There are different sections on this test, and the material in this chapter is part of the subarea 2 section, Relations, Functions and Algebra. This part makes up 12% of the entire test, and it contains multiple-choice questions, like our quizzes.

This chapter offers a variety of ways to help you remember important principles that may come up on the test. You can even get help from our online instructors if you are struggling with a rational function concept.

9 Lessons in Chapter 25: CEOE Advanced Math: Rational Expressions & Function Graphs
Test your knowledge with a 30-question chapter practice test
Expressions of Rational Functions

1. Expressions of Rational Functions

In this video lesson, you will learn how to write a rational function given just the horizontal and vertical asymptotes. Learn how to write the asymptotes and where to write them in your function.

How to Multiply and Divide Rational Expressions

2. 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.

Multiplying and Dividing Rational Expressions: Practice Problems

3. Multiplying and Dividing Rational Expressions: Practice Problems

Let's continue looking at multiplying and dividing rational polynomials. In this lesson, we will look at a couple longer problems, while giving you some practice multiplying and dividing.

How to Add and Subtract Rational Expressions

4. 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.

Practice Adding and Subtracting Rational Expressions

5. Practice Adding and Subtracting Rational Expressions

Adding and subtracting rational expressions can feel daunting, especially when trying to find a common denominator. Let me show you the process I like to use. I think it will make adding and subtracting rational expressions more enjoyable!

How to Solve a Rational Equation

6. 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!

Graphing Rational Functions That Have Linear Polynomials: Steps & Examples

7. Graphing Rational Functions That Have Linear Polynomials: Steps & Examples

Watch this video lesson to learn how you can graph rational functions with linear polynomials in just a few steps. Also learn what kinds of functions these are and what you need to look for to graph them.

Graphing Rational Functions That Have Polynomials of Various Degrees: Steps & Examples

8. Graphing Rational Functions That Have Polynomials of Various Degrees: Steps & Examples

Graphing rational functions is not as hard or as scary as it sounds. Sure, the functions may be big, but watch this video lesson and you will see that graphing these functions can actually be easy.

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

9. 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 OSAT Advanced Mathematics (CEOE) (111): Practice & Study Guide course

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