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Ch 17: OAE Mathematics: Rational Expressions

About This Chapter

As you prepare for the OAE Mathematics exam, review what you need to know about mathematical operations with rational expressions. Complete the activities of this chapter to fortify your understanding of rational expressions, complex rational expressions and rational equations.

OAE Mathematics: Rational Expressions - Chapter Summary

Use the activities of this chapter to improve your abilities solving problems with rational expressions and rational equations so that you will be prepared for related questions on the Ohio Assessments for Educators (OAE) Mathematics test. Watch videos of our expert instructors as they explain the steps used when solving mathematical operations with rational expressions, simplifying complex rational expressions and graphing rational functions. After this chapter you should have a mastery over:

  • Multiplication and division of rational expressions
  • Addition and subtraction of rational expressions
  • Solving rational equations
  • Reciprocals of rational expressions and division
  • Working with complex rational expressions
  • Graphing rational functions

After watching the videos, reinforce your comprehension of the material by completing the lesson worksheets and quizzes that accompany them. Use the results from your lesson quizzes to find areas you haven't mastered, then return to the lesson videos with video tags to reinforce your understanding of these topics. If you want an alternative way of reviewing the material, read over the lesson transcripts that present a written overview of the lessons.

OAE Mathematics: Rational Expressions Objectives

OAE Mathematics is the teachers certification exam used by the state of Ohio to certify math teachers. This computer-based exam is composed of 150 multiple-choice questions for which you will be given four hours and 15 minutes to complete. Of the material on the exam, 24% belongs to the Patterns, Algebra and Functions domain. Use the tools in this chapter to reinforce your abilities working with rational expressions, equations and functions so that you will be prepared for related questions in this domain on the OAE Mathematics test.

6 Lessons in Chapter 17: OAE Mathematics: 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.
Not Taken

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Other Chapters

Other chapters within the Ohio Assessments for Educators - Mathematics (027): Practice & Study Guide course

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