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Ch 17: ORELA Math: Rational Expressions

About This Chapter

Before you take the ORELA Math exam, watch our video lessons to review what you know about rational expressions. Instructors prepare you to take the licensure test to teach math in the state of Oregon.

ORELA Math: Rational Expressions - Chapter Summary

Brush up on your skills for calculating, simplifying and analyzing rational expressions prior to taking the ORELA Math exam. In this chapter, video lessons cover topics such as:

  • Multiplying and dividing rational expressions
  • Adding and subtracting rational expressions
  • Solving rational equations
  • Understanding rational expressions and reciprocals
  • How to simplify complex rational expressions
  • Identifying asymptotes, domain and range on a graph of a rational function

Our video lessons, taught by experienced instructors, offer a quick and effective way to study rational expressions. Videos may be watched over and over again. If you need to re-watch a main point or two in a lesson, use tags to jump to that section of the video. Click on links for more details about key terms. Be sure to take lesson quizzes to assess you mastery of materials presented in the lessons.

ORELA Math: Rational Expressions Chapter Objectives

Oregon has replaced the ORELA Mathematics test with the NES Mathematics test for those educators seeking licensure to teach math in that state. The test is divided into content domains that cover what beginning teachers should know in order to teach math. Questions about rational expressions fall under the Patterns, Algebra and Functions domain, which accounts for 24% of all test questions. Use our video lessons and chapter exam to prepare for questions on rational expressions found on the NES test.

The NES test consists of 150 multiple-choice questions. It is provided in a computer-based format, and test sessions last 4 hours, 15 minutes.

6 Lessons in Chapter 17: ORELA 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 ORELA Mathematics: Practice & Study Guide course

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