Ch 31: AEPA Middle Grades Math: Rational Expressions

About This Chapter

Arizona administers the AEPA Middle Grades Mathematics test for middle grades math certification. Use the lessons in this chapter to review rational expressions and equations as you study for this exam.

AEPA Middle Grades Math: Rational Expressions - Chapter Summary

The lessons in this chapter ensure your understanding of rational expressions. Rediscover the process of performing basic arithmetic operations using them. As you prepare for the AEPA Middle Grades Mathematics exam, these lessons will help you review:

  • Identifying and solving rational equations
  • Addition, subtraction, multiplication and division of rational expressions

Our short, engaging video lessons make studying quick and easy, and our subject experts will answer any questions you may have. Use the embedded video tags to review individual topics, and look up terminology using the lesson transcript. The self-assessment quizzes help you gauge your progress as you study. You'll be ready for the AEPA Middle Grades Mathematics exam in no time!

Objectives of the AEPA Middle Grades Math: Rational Expressions Chapter

This AEPA Middle Grades Math certification exam assesses your knowledge of middle grade math concepts including numbers and operations, algebra, functions, measurement, geometry, statistics, probability and discrete math. This Rational Expressions chapter covers material found in the Algebra and Functions domain, which accounts for approximately 33% of the NES Middle Grades Mathematics test, or about 50 questions. Remember, the self-assessment quizzes throughout the chapter are a great way to familiarize yourself with the test format.

There are approximately 150 multiple-choice questions on the overall NES Middle Grades Mathematics exam, and you will have up to four hours and fifteen minutes in which to complete them. On test day, you will be provided with a formulas page, an on-screen scientific calculator and reference materials for your use throughout the test.

6 Lessons in Chapter 31: AEPA Middle Grades Math: Rational Expressions
Test your knowledge with a 30-question chapter practice test
How to Solve a Rational Equation

1. 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!

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.

Practice Adding and Subtracting Rational Expressions

3. Practice Adding and Subtracting Rational Expressions

Adding and subtracting rational expressions can feel daunting, especially when trying to find a common denominator. Let me show you the process I like to use. I think it will make adding and subtracting rational expressions more enjoyable!

How to Multiply and Divide Rational Expressions

4. 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.

Multiplying and Dividing Rational Expressions: Practice Problems

5. Multiplying and Dividing Rational Expressions: Practice Problems

Let's continue looking at multiplying and dividing rational polynomials. In this lesson, we will look at a couple longer problems, while giving you some practice multiplying and dividing.

Rational Equations: Practice Problems

6. Rational Equations: Practice Problems

Mario and Bill own a local carwash and have several complex tasks that they must use rational equations to solve for an answer. Enjoy learning how they solve these equations to help them with some of their day-to-day tasks.

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 AEPA Middle Grades Mathematics (NT203): Practice & Study Guide course

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