Practice Absolute Value Equations in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

Absolute value equations solve for values whose distance from zero or another number matches a target amount.

An absolute-value equation is a distance problem โ€” |x-2|=5 asks 'which x is distance 5 from 2?' โ€” two answers.

Example 1

easy
Solve |x - 3| = 7.

Example 2

medium
Solve |2x + 1| = 5.

Example 3

easy
Solve |x| = 4.

Example 4

medium
Solve |x + 2| = -3.