Rewrite Absolute Value Equations as Linear Equations

By Mary Jane Sterling

Part of Algebra II Workbook For Dummies Cheat Sheet

To work with an absolute value equation in algebra, you first need to rewrite it as a linear equation. The same goes for an absolute value inequality, which you rewrite as a linear inequality.

When rewriting absolute value equations or inequalities, you drop the absolute value bars.

|ax + b| = c ax + b = c or ax + b = –c

|ax + b| > c → ax + b > c or ax + b > –c

|ax + b| < c →c < ax + b < c