Solving Absolute Value Equations

Question:
Solve the equation: the absolute value of 2x minus 6 equals 10. Write two separate cases, solve each, and check both solutions in the original equation.

Solving Absolute Value Equations

This lesson covers how to solve an absolute value equation of the form |ax + b| = c by splitting it into two separate linear cases. Students solve each case independently and verify both solutions by substituting back into the original equation.

In this lesson, you will learn to:
• Explain why an absolute value equation produces two separate cases
• Write and solve each linear case resulting from an absolute value equation
• Check both solutions by substituting them into the original equation
• State the complete solution set for an absolute value equation

Course: Algebra1 · Big Ideas Math · Ron Larson · Chapter 1- Solving Linear Equations
Level: Grade 9

Pause before each step, try the next