Table of Contents

1. Introduction
2. How to Approach Absolute Value Problems

Introduction

The absolute value of a number tells us the value of a number without regard to its sign. It is signified by two vertical bars, one before and one after the number.

The absolute value of -5 is denoted like |-5|. This has the same value as positive 5. Similarly, |-7| = 7 = |7|

Watch out for absolute values that contain variables because these absolute value statements will contain two solutions: a positive and negative.

Example

|x| + 7 = 20
|x| = 13
x = 13 or x = -13

How to Approach Absolute Value Problems

Follow this simple three step approach to deconstruct absolute value problems.

1. Segregate the absolute value on one side of the expression
2. Re-write the mathematical statements twice, once where the absolute value yields a positive expression, and a second time where the absolute value yields a negative expression
3. Solve both expressions.

Example

If |5x + 2| +3 = 3x + 6, what is x?

Step 1:

Step 2:

Step 3:

The final solutions to the problem are 1/2 and -5/8.

Click here for access to the best GMAT Study Guide & GMAT Practice Exams