OBJECTIVE I will solve absolute-value equations using inverse operations.

Rule | ax + b | = c MEANS ax + b = c OR ax + b = -c

Solving an Absolute-Value Equation Solve | x + 5 | = 3 x is positive x is negative | x + 5 | = 3 | x + 5 | = 3 x + 5 = 3 x + 5 = -3 x = -2 x = -8 x = -2 and -8 Check

Solving an Absolute-Value Equation Solve | x - 2 | + 4 = 7 First, isolate the absolute-value on one side. x is positive x is negative | x - 2 | + 4 = 7 | x - 2 | + 4 = 7 | x - 2 | = 3 | x - 2 | = 3 x - 2 = 3 x - 2 = -3 x = 5 x = -1 x = 5 and -1 Check

Guided Practice - | x - 9 | = -5 | x + 24 | - 12 = 43

Independent Practice | x + 10 | = 17 | x - 4 | = 12 - | x - 17 | = -42