1. Solving Absolute Value Equations October 2, 2014 SWBAT: Solve Absolute Value Equations

2. Eliminate C&D, b/c those are not for “or”! Elimante B b/c the circles are open !

3. SWBAT: Solve Absolute Value Equations 5 5 0

4. -6,6 -4,16 -5,3 No solution!

5. SWBAT: Solve Absolute Value Equations Isolate the Absolute Value Set up 2 equations Solve Check

6. SWBAT: Solve Absolute Value Equations 2x – 3 = 17or 2x – 3 = -17 +3 2x = 20 2 2 x = 10 2x = -14 2 2 x = -7 +3 CHECK

7. SWBAT: Solve Absolute Value Equations 4x – 2 = 10or 4x – 2 = -10 +2 4x = 12 4 4 x = 3 +2 4x = -8 4 4 x = -2 CHECK

8. SWBAT: Solve Absolute Value Equations Isolate the abs. value first No solution!

9. 2x + 5= x + 4 or 2x + 5 = -(x + 4) -x x + 5 = 4 -5 -5 x = -1 2x + 5 = -x - 4 +x 3x + 5 = -4 - 5 -5 3x = -9 3 3 x = -3 CHECK

10. 4 – x = 3xor 4 – x = -3x +x 4 = 4x 4 4 1 = x +x 4 = -2x -2 -2 -2 = x Reject CHECK x

11. Isolate the abs. value first y – 4 = 3y + 6 or y - 4 = -(3y + 6) -y -4 = 2y + 6 - 6 -6 -10 = 2y 2 2 -5 = y y – 4 = -3y - 6 +3y 4y - 4 = - 6 4y = -2 4 4 + 4 +4 CHECK Reject x

12. x + 6 = 2x + 18 or x + 6 = -(2x + 18) -6 6 = x + 18 -12 = x -18 -18 x + 6 = -2x - 18 +2x +2x 3x + 6 = -18 -x 3x = -24 3 3 x = -8 Isolate the abs. value first CHECK x Reject

13. SWBAT: Solve Absolute Value Equations

15. 4n + 8 = 16or 4n + 8 = -16 -8 4n = 8 4 4 n = 2 -8 -8 4n = -24 4 4 n = -6 CHECK