1. Solve Absolute Value Equations
Section 6.5

2. Objectives:
Solve absolute value equations

3. Key Vocabulary: Absolute value equation Absolute deviation

4. Definition: Absolute value equation
The absolute value of a number a, written |a|, is the distance between a and 0 on a number line. An absolute value equation, such as |x|=4, is an equation that contains an absolute value expression.

5. Example 1:
Solve.

6. #1: Solve. .

7. Solving Absolute Value Equations

8. Example 2:
Solve.

9. Example 3:
Solve.

10. #2: Solve the equation.

11. #3: Solve the equation.

12. #4: Solve the equation.

13. Example 4:
Solve, if possible.

14. Definition: Absolute deviation
The absolute deviation of a number x from a given value is the absolute value of the difference of x and the given value: absolute deviation = |x – given value|

15. Example 5:
Before the start of a professional basketball game, a basketball game must be inflated to an air pressure of 8 pounds per square inch (psi) wit an absolute error of 0.5 psi. (Absolute error is the absolute deviation of a measured value from an accepted value.) Find the minimum and maximum acceptable air pressures for the basketball.

16. #5: Solve the equation, if possible.

17. #6: Solve the equation, if possible.

18. #7: Complete.
The absolute deviation of x from 7.6 is What are the values of x that satisfy this requirement?

19. Homework Assignment
Section 6.5 Worksheet