1. 9.3 Equations and Absolute Value Goal(s): To solve equations involving absolute value

2. Solve: |x - 3| = 2 What values can be substituted for “x” to make the equation true?

3. Solving Equations with Absolute Values To solve an equation of the form |A| = b Solve the disjunction A = b or A = -b Solve for “x”: |x + 3| = 7 x + 3 = 7 x + 3 = - 7 Do not write the absolute value brackets when you set up the two different equations.

4. Solve |2x – 4| = 10 x = 7 or

5. Solve |2x + 5| = 13 x = 4 or x = -9

6. Solve |3x + 7| = 19

7. Solve |5x – 3| = -17 No solution. The solution set is 

8. Solving |absolute value| equations: The absolute value expression must be “by itself” before writing the two different equations.

9. Solve: |2x – 7| + 5 = 12 or

10. Solve |2x + 5| -9 = 12 x = 8 or x = -13 +9 |2x + 5| = 21

11. Solve: 3|2x + 5| -9 = 12 x = 1 or x = -6 +9 3|2x + 5| = 21 3 3 2x + 5 = 72x + 5 = -7

12. Assignment: Page 412 (12-32) even