1. Solving Absolute Value Equations Lesson 4-3

2. Vocabulary Review Absolute Value: The distance between 0 and a number Equation: A math sentence/statement with an “=“

3. Absolute Value Equations The goal of solving abs value equations is to… isolate the absolute value part of equation have two possible answers remember that abs value never ≠ negative number alone

4. Absolute Value Equations | b | = 5 *solve what b could be, while IN absolute value b = 5 OR -5 Check: | 5 | = 5 | -5 | = 5

5. Absolute Value Equations | b | = -8 *absolute value NEVER equals a negative # Answer: “no solution”

6. Absolute Value Equations | m | + 5 = 11 Is abs value term isolated? | m | + 5 = 11 - 5 -5 | m | = 6 *not complete… solve for absolute value m = 6, -6

7. Absolute Value Equations | x + 9 | = 3 Is abs value term isolated? *when we have a math expression (x + 9) in absolute value… …create two equations (out of abs value) and solve both Eq. 1Eq. 2 x + 9 = 3 x + 9 = -3 *same abs val expression, *same abs val expression, same answer opposite integer answer x = 12, 6

8. More examples 12 = | 4b | 12 = 4b -12 = 4b 3 = b -3 = b | y + 8 | = 5 y + 8 = 5 y + 8 = -5 y = -3 y = -13 3| g + 2 | = 15 3 3 | g + 2 | = 5 g + 2 = 5 g + 2 = -5 g = 3 g = -7 -5 = | t + 2 | no solution

9. Practice… a) | f | = 14 b) | c - 2 | = 6 c) 2 = | k + 10| 4 d) -3| m + 4| = 18

10. Homework p. 172-173 #1-8, 11-22 (skip #21)