1. Warm-Up:
As a group, create a CIRCLE MAP to DESCRIBE what you already know about ABSOLUTE VALUE

2. ABSOLUTE
VALUE

3. Objective - To solve an absolute value equation
CA 3.0, 5.0

4. Absolute Value Equations
An equation is called an ABSOLUTE VALUE EQUATION if the variable is INSIDE the absolute value symbols!

5. Solve.
│Stuff│ = positive
│Stuff│ = 0
│Stuff│ = negative
2 solutions
1 solution
No Solution

6. Solve.
No solution

7. Solve.
Check.

8.  ALWAYS isolate the absolute value first!
TWO BIG RULES
 ALWAYS isolate the absolute value first!
 NEVER distribute into absolute value!

9. Solve.

10. Solve.

11. Solve.

12. {Ø} Solve. ABSOLUTE VALUE cannot equal a NEGATIVE NUMBER
This equation has NO SOLUTION.
{Ø}

13. Try These:

14. Write an absolute value equation that has 4 and 10 as its solutions.3 3
= 6
Midpoint
= 7
Distance from Endpoint to Midpoint
= 3

15. Write an absolute value equation that has
5 and 19 as its solutions.
Midpoint
Distance from Endpoint to Midpoint =
= 7