Ch 17: GACE Math: Rational Expressions

About This Chapter

Brush up on key rational expressions subject matter by completing the lessons throughout this chapter. These lessons will help ensure that you're able to correctly answer related questions on the GACE Math assessment.

GACE Math: Rational Expressions - Chapter Summary

Review information about rational expressions through this chapter's educational video lessons in preparation for the GACE Math assessment. These lessons will prepare you for any assessment items about the following:

  • Subtracting and adding rational expressions
  • Dividing and multiplying rational expressions
  • Solving rational equations
  • Taking the reciprocal of an expression
  • How to simplify complex rational expressions
  • Recognizing asymptotes and reading graphs of rational functions

Study at your own pace, ask questions on rational expressions and consult the corresponding transcripts as necessary. Finally, you can take the lesson quizzes and chapter examination that are designed to test your retention.

6 Lessons in Chapter 17: GACE 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.
Not Taken
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 within the GACE Mathematics (522): Practice & Study Guide course

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