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Ch 20: CEOE Middle Level/Intermediate Math: Rational Expressions

About This Chapter

In this chapter, we have put together a series of lessons on rational expressions to help you prepare for taking the Certification Examinations for Oklahoma Educators (CEOE) Middle Level/Intermediate Math test.

CEOE Middle Level/Intermediate Math: Rational Expressions - Chapter Summary

These short video lessons provide a refresher on the rational expressions topics you'll find on the CEOE Middle Level/Intermediate Math test. They are designed to help answer test questions about such subject matter as:

  • Addition and subtraction of rational expressions
  • Multiplication and division of rational expressions
  • Solving rational equations
  • Understanding reciprocals of rational expressions
  • Simplifying complex rational expressions
  • Steps for graphing rational functions that include linear polynomials
  • The asymptotes, slant asymptotes, domain and range of a graphed rational function
  • Using expressions of rational functions

The lesson videos are led by our subject matter experts. Each video is 5-10 minutes long on average, and provides a quiz afterwards so you can check your understanding of the lesson material. Use the bold keywords in the lesson transcripts as study aids or to help you create flashcards.

9 Lessons in Chapter 20: CEOE Middle Level/Intermediate 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.

Graphing Rational Functions That Have Linear Polynomials: Steps & Examples

6. 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.

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

7. 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.

Finding Slant Asymptotes of Rational Functions

8. Finding Slant Asymptotes of Rational Functions

Watch this video lesson to learn how you can find the slant asymptote to certain types of rational functions. Learn what you need to look for and how polynomial long division comes into play.

Expressions of Rational Functions

9. 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.

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 Middle Level/Intermediate Mathematics (CEOE) (125): Practice & Study Guide course

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