1. 3.7 Absolute value DAY 2

2. Solve for x----no notes on this slide (just watch). |x| = 5 |x + 2| = 5 x = 5 or x = -5 x + 2 = 5 or x + 2 = -5 x = 3 - 2 -2 x = -7 check |3 + 2| = 5|-7 + 2| = 5 check

3. Solve for x---again no notes on this slide. |x + 4| = 7 x + 4 = 7 or x + 4 = -7 x = 3 -4 -4 Check with the original equation. |(x) + 4 | = 7 Check with the original equation. - 4 -4 x = -11 | (x) + 4 | = 7 |(-11) + 4 | = 7 |-7 | = 7 |(3) + 4 | = 7 |7 | = 7 Your answers are: 3, -11

4. Solve for x |2x + 5| = 13 2x + 5 = 13 or 2x + 5 = -13 2x = 8 - 5 -5 Check with the original equation |2(4) + 5 | = 13 Check with the original equation x= 4 - 5 -5 2x = -18 x= -9 |2(-9) + 5 | = 13 |-18 + 5 | = 13 |-13 | = 13 |8 + 5 | = 13 |13 | = 13 Your answers are: 4, -9

5. |-2x + 5| - 4 = 9 -2x + 5 = 13 or -2x + 5 = -13 -2x = 8 -5 -5 Check with the original equation. |-2(-4) + 5 | - 4 = 9 Check with the original equation. - 5 - 5 -2x = -18 |-2(9) +5 | - 4 =9 |(-18) + 5 | -4 = 9 |-13 | -4 = 9 |(8) + 5 | - 4 = 9 |13 | - 4 = 9 Solve for x |-2x + 5| =13 The answers are -4, 9 x = -4 x = 9 13 -4 = 9

6. +9 |-2x - 6| - 9 = 11 -2x – 6 = 20 or -2x - 6 = -20 -2x = 26 +6 +6 Check with the original equation. |-2(-13) - 6 | - 9 = 11 Check with the original equation. +6 +6 -2x = -14 |-2(7) - 6| -9 = 11 |(-14) -6 | -9 = 11 |-20 | - 9 = 11 |(26) - 6 | - 9 = 11 |20 | - 9 = 11 Solve for x |-2x - 6| =20 The answers are -13, 7 x = -13 x = 7 20 - 9 = 11

7. Solve for x 2|x + 4| = 14 x + 4 = 7 or x + 4 = -7 x = 3 -4 -4 Check with the original equation. 2|(x) + 4 | = 14 Check with the original equation. - 4 -4 x = -11 2| (x) + 4 | = 14 2|(-11) + 4 | = 14 2|-7 | = 14 2|(3) + 4 | = 14 2|7 | = 14 Your answers are: 3, -11 2 |x + 4| = 7

8. |x| + 2 = 7 Solve for x and then graph the solutions. - 2 -2 |x| = 5 x =5 or x = -5

9. |x| > 2 Solve for x and then graph the solutions.

10. Assignment: page 211: 17-20, 26-28,31, 49,53-55

11. | A| < b | A| > b -b < A < b Solving absolute value inequalities A b | x – 1 | < 2 -2 < x – 1 < 2 -2 < x – 1 and x -1 < 2 +1 + 1 -1 < x +1 + 1 x < 3 | x – 1 | > 2 x – 1 2 +1 + 1 x < -1 +1 + 1 x > 3

12. Solve and graph the following: |2x + 1| > 9 | A| < b | A| > b -b < A < b A b |2x + 1| > 9 2x + 1 9 -1 -1 2x < -10 x < -5 -1 -1 2x > 8 x > 4

13. Assignment: page 211: 24-30 evens; 32-40 all; 50-60 evens If it says graph, graph it