Ch 18: GRE Quantitative Reasoning: Equations and Expressions

About This Chapter

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

GRE Quantitative Reasoning: Equations and Expressions - Chapter Summary

Increase your proficiency in equations and expressions with our GRE review lessons. These video lectures expound on mathematical equation rules you'll use in the quantitative reasoning portion of the GRE. Equations and expressions tutorials discuss:

  • Linear equations
  • Systems of equations
  • Absolute value equations
  • Substituting variables
  • Polynomials

This chapter's videos offer instruction in a variety of mathematical expressions and incorporate quizzes to help you discern how well you've grasped the information. Each lesson is presented in brief video format to make the information accessible and support your success on the GRE.

GRE Quantitative Reasoning Objectives

The GRE is an exam designed to test students' capacity to successfully complete a graduate or business school program. Quantitative reasoning questions make up around 30% of the exam. Our equations and expressions lessons incorporate concepts and procedures found in the quantitative segment of the GRE. Topics covered in these lessons include:

  • Discerning linear equations from various information formats
  • Finding the slope and y-intercept for an equation
  • Understanding and using the substitution method
  • Transforming word problems into systems of equations
  • Performing arithmetic with polynomials
  • Finding the solution to an absolute value equation

The quantitative reasoning section of the GRE encapsulates questions based on arithmetic, algebra, and geometry. Some questions are in multiple-choice format, while others call for the derivation of an original numeric answer.

8 Lessons in Chapter 18: GRE Quantitative Reasoning: Equations and Expressions
Test your knowledge with a 30-question chapter practice test
What is a Linear Equation?

1. What is a Linear Equation?

Most cars won't be able to run for more than 250,000 miles, so how much longer will your car live? Linear Equations are the most basic kind of algebraic function and can help you answer questions exactly like this. Learn about what they look like, how they come up in your life and why they are powerful tools.

How to Write a Linear Equation

2. How to Write a Linear Equation

Simply knowing how to take a linear equation and graph it is only half of the battle. You should also be able to come up with the equation if you're given the right information.

What is a System of Equations?

3. What is a System of Equations?

So what happens if we want to compare more than one equation? Welcome to a 'system' of equations! Learn what one is, how to solve them and when they come up in real life.

How Do I Use a System of Equations?

4. How Do I Use a System of Equations?

There are a few classic algebra word problems, such as the one about two trains traveling at different speeds. In this lesson, you'll learn how to take a word problem and convert it into the system of equations that will allow you to find the answer using either substitution or elimination.

How to Add, Subtract and Multiply Polynomials

5. How to Add, Subtract and Multiply Polynomials

Adding, subtracting and multiplying polynomials are, basically, the same as adding, subtracting and multiplying numbers. They only difference is that we have a pesky variable to worry about, but this video will show you that's no problem, so no worries! This method has worked for many of my students, and I think it will work for you, too!

Solving Absolute Value Practice Problems

6. Solving Absolute Value Practice Problems

There are many easy mistakes to make when solving absolute value equations. Learn how to avoid those mistakes here by working on examples of absolute value equations with operations on the inside and the outside of the absolute value.

How to Solve an Absolute Value Equation

7. How to Solve an Absolute Value Equation

Once you get familiar with any new operation, the next step in any algebra class is to learn how to solve equations with that operation in them. Absolute values are no different. Solve absolute value equations here!

How to Evaluate Absolute Value Expressions

8. How to Evaluate Absolute Value Expressions

Substituting values into absolute values doesn't have to be too hard, but it can be if you're given deceiving beginning information. See if you're up to it by checking out this video!

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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