NES Math: Rational Expressions - Videos & Lessons

About This Chapter

Let us help you renew your knowledge of rational expressions and equations as you study for the NES Math test. The video lessons and quizzes offer solid preparation for test questions on this subject.

NES Math: Rational Expressions - Chapter Summary

Get ready for the NES Math test with our chapter's lessons. Review the process of performing operations with rational expressions, and learn more about rational equations and graphs of rational expressions. The videos, quizzes and study aids will help you tackle questions on:

Addition, subtraction, multiplication and division with rational expressions
Ways to solve a rational equation
Reciprocals of rational expressions
How to simplify complex rational expressions
How to analyze the graph of a rational function

These lessons average about five minutes in length, and you can watch them on a computer, smartphone or tablet anytime. Lesson quizzes and a chapter exam let you gauge your progress, and the video links in our clickable Timeline offer a quick way to jump back to specific parts of the lesson for review. Every lesson is accompanied by a written lesson transcript that has important concepts and terms highlighted.

NES Math: Rational Expressions Chapter Objectives

Five states use the NES Math test as one of the requirements for obtaining teacher certification in the content area. The computer-delivered test consists of 150 multiple-choice questions divided into five content domains. Questions on rational expressions are in the Patterns, Algebra, and Functions content domain, which accounts for 24% of the total score on the test.

Our quizzes give you valuable practice answering questions in the format you'll encounter on the NES Math test. These quizzes also offer an opportunity to evaluate your learning and see where you need extra study before test day.

6 Lessons in Chapter 17: NES Math: Rational Expressions

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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.

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.

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!

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.

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.

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

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Practice Final Exam

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Visit the NES Mathematics (304): Practice & Study Guide page to learn more.

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