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Ch 25: GACE Middle Grades Math: Rational Expressions

About This Chapter

To solve rational expressions on the GACE Middle Grades Math assessment, you will need to understand equations with fractions. Learn all the steps to solving these types of problems by reading through our transcripts and watching the lessons.

GACE Middle Grades Math: Rational Expressions - Chapter Summary

Generally, rational expressions include equations with fractions, and the rules for solving these types of equations change for various reasons. To learn more about those reasons and to find out exactly how to solve rational expressions, watch the videos in this chapter as you study for the GACE Middle Grades Math assessment. After completing this chapter, you should know how to do the following:

  • Add rational expressions
  • Divide rational expressions
  • Subtract rational expressions
  • Multiply rational expressions

Using our study materials as part of your test-preparation process can make it easier to learn these topics. We have designed our video lessons for maximum retention, which is why each lesson is so short and to the point. The lessons also include full transcripts, which can be useful for skimming through keywords and memorizing formulas. If you find any of the topics unclear, you can always e-mail our instructors for further guidance. Feel free to practice for the GACE Middle Grades Math assessment by answering our questions on the lesson quizzes or the chapter exam.

GACE Middle Grades Math: Rational Expressions Objectives

The GACE Middle Grades Math assessment is used in the state of Georgia as a way to confirm whether educators possess the necessary skills and knowledge of mathematics to meet state standards. Individuals will take their tests on computer and answer 45 questions, some of which may be multiple-choice, true-or-false, or something similar. There are no constructive-response questions on this test. Individuals who have a better grasp of rational expressions may be more prepared to answer questions in the subareas of algebra and arithmetic, and these particular subareas make up about two thirds of the entire test.

6 Lessons in Chapter 25: GACE 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 GACE Middle Grades Mathematics (013): Practice & Study Guide course

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