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Ch 8: FTCE Math: Rational Expressions & Equations

About This Chapter

Complete this chapter to review the uses of rational expressions and equations in preparation for the FTCE Math test. The video lessons in this chapter will examine these mathematical applications so you're ready for the exam.

FTCE Math: Rational Expressions & Equations - Chapter Summary

This chapter contains lessons that go over operations you can perform on rational expressions and equations. These videos are designed to help you review how to:

  • Multiply, divide, add, subtract and simplify rational expressions
  • Solve rational equations
  • Divide and find the reciprocal for rational expressions
  • Graph and then analyze rational functions
  • Determine the slant asymptotes of a rational function
  • Write an expression of a rational function

Our expert instructors will walk you through each mathematical formula, while the multiple-choice quizzes at the end of each lesson will allow you to practice what you know. The video timelines make it easy for you to go back and spend extra time on subjects you'd like to review even further.

9 Lessons in Chapter 8: FTCE Math: Rational Expressions & Equations
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 FTCE Mathematics 6-12 (026): Practice & Study Guide course

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