Ch 22: GRE Quantitative Reasoning: Rational Equations and Expressions

About This Chapter

Review elements of rational equations and expressions to prepare for the Graduate Record Exam (GRE). Video lessons and quizzes incorporate these elements of the quantitative reasoning section in a simple and clear manner.

GRE Quantitative Reasoning: Rational Equations and Expressions - Chapter Summary

Develop proficiency in working with rational equations and expressions with our GRE practice lessons. These instructional videos detail aspects of rational expressions you'll need to be familiar with to successfully complete the quantitative reasoning segment of the GRE. Some topics incorporated into these lessons are:

  • Addition and subtraction of rational expressions
  • Multiplication and division of rational expressions
  • Solving rational equations

This chapter's lessons address the steps involved in solving rational equations and include practice problems to help ensure your understanding of the process. In addition, corresponding quizzes let you test your comprehension of the lessons' content. Tutorials are broken down into brief videos to support your grasp of each topic and help you succeed on the GRE.

GRE Quantitative Reasoning Objectives

The GRE is a test that assesses students' potential to successfully complete academic study at the graduate level. The quantitative reasoning section comprises a little over a third of the entire exam. These video lectures on rational equations and expressions cover material you'll find on the quantitative section of the GRE. Specific objectives addressed in these lectures include:

  • Determining the common denominator in rational expressions
  • Simplifying numerators when subtracting and adding rational expressions
  • Eliminating fractions to solve rational equations
  • Transferring equations into standard form

The GRE's quantitative reasoning segment contains questions that deal with arithmetic, data analysis, geometry, and algebra. Some of the questions are multiple-choice, while others require the calculation of an open-ended numeric answer.

6 Lessons in Chapter 22: GRE Quantitative Reasoning: Rational Equations and 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!

Rational Equations: Practice Problems

2. 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.

How to Multiply and Divide Rational Expressions

3. 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

4. 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

5. 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!

Multiplying and Dividing Rational Expressions: Practice Problems

6. 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.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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