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 | = 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 Eq. 2
x + 9 = 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 | = | g + 2 | = 5 g + 2 = 5 g + 2 = -5 g = 3 g = = | 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 #1-4, (skip #21)