Lesson 6.5 – Solving Absolute Value Equations Recall: The absolute ...

Lesson 6.5 – Solving Absolute Value Equations Recall: The absolute value of a number is its distance from zero on the number line.

Solve an Absolute Value Equation Solve

What are the two numbers that are Since

and

units from

?

are both seven units from zero, they are both solutions to the absolute value equation.

Rewrite the absolute value equation as two equations, and then solve both separately. Solve

Rewrite the equation so that the absolute value term is alone on one side of the equation. Solve

Solve the equations

Remember: The absolute value of a number is never negative. That means that if the absolute value expression equals a negative number, there are no solutions.

Solve