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Ch 12: FTCE Middle Grades Math: Rational Expressions

About This Chapter

This chapter features engaging video lessons that outline the essential information you need to know about rational expressions for the FTCE Middle Grades Mathematics Test. After each lesson, you can practice for the exam with quiz questions similar to what you'll find on the exam.

FTCE Middle Grades Mathematics: Rational Expressions - Chapter Summary

Use this chapter to review material on rational expressions to better prepare for the FTCE Middle Grades Mathematics Test. The instructors leading this chapter's video lessons will address the topics that may come up on this exam. The lessons in this chapter will cover information like:

  • Multiplying and dividing rational expressions
  • Adding and subtracting rational expressions
  • Solving rational equations
  • Division and reciprocals of rational expressions
  • Strategies for simplifying complex rational expressions
  • Analyzing the graphs of rational functions

In this chapter, you will get a handle on the concepts related to rational expressions that will appear on the FTCE Middle Grades Mathematics Test. After you've finished the lessons, you will be equipped with the information you need to answer rational expressions questions correctly. You can use our multiple-choice quizzes to test yourself on the types of questions that will appear on the exam.

6 Lessons in Chapter 12: FTCE Middle Grades 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.
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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 Middle Grades Mathematics 5-9 (025): Practice & Study Guide course

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