1. 2.5 – Solving Absolute Value Equations

2. Absolute Value

3. 2.5 – Solving Absolute Value Equations Absolute Value–unit value only

4. 2.5 – Solving Absolute Value Equations Absolute Value–unit value only

5. 2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs)

6. 2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5|

7. 2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5

8. 2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| =

9. 2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| = 5 Example 1

10. 2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| = 5 Example 1 Evaluate 1.4+|5y – 7| if y=-3

11. 2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| = 5 Example 1 Evaluate 1.4+|5y – 7| if y=-3 1.4+|5y – 7|=

12. 2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| = 5 Example 1 Evaluate 1.4+|5y – 7| if y=-3 1.4+|5y – 7|=1.4

13. 2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| = 5 Example 1 Evaluate 1.4+|5y – 7| if y=-3 1.4+|5y – 7|=1.4 +

14. 2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| = 5 Example 1 Evaluate 1.4+|5y – 7| if y=-3 1.4+|5y – 7|=1.4 + |5

15. 2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| = 5 Example 1 Evaluate 1.4+|5y – 7| if y=-3 1.4+|5y – 7|=1.4 + |5(-3)

16. 2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| = 5 Example 1 Evaluate 1.4+|5y – 7| if y=-3 1.4+|5y – 7|=1.4 + |5(-3) – 7|

17. 2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| = 5 Example 1 Evaluate 1.4+|5y – 7| if y=-3 1.4+|5y – 7|=1.4 + |5(-3) – 7| =1.4

18. 2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| = 5 Example 1 Evaluate 1.4+|5y – 7| if y=-3 1.4+|5y – 7|=1.4 + |5(-3) – 7| =1.4 +

19. 2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| = 5 Example 1 Evaluate 1.4+|5y – 7| if y=-3 1.4+|5y – 7|=1.4 + |5(-3) – 7| =1.4 + |-15

20. 2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| = 5 Example 1 Evaluate 1.4+|5y – 7| if y=-3 1.4+|5y – 7|=1.4 + |5(-3) – 7| =1.4 + |-15 – 7|

21. 2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| = 5 Example 1 Evaluate 1.4+|5y – 7| if y=-3 1.4+|5y – 7|=1.4 + |5(-3) – 7| =1.4 + |-15 – 7| =1.4

22. 2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| = 5 Example 1 Evaluate 1.4+|5y – 7| if y=-3 1.4+|5y – 7|=1.4 + |5(-3) – 7| =1.4 + |-15 – 7| =1.4 +

23. 2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| = 5 Example 1 Evaluate 1.4+|5y – 7| if y=-3 1.4+|5y – 7|=1.4 + |5(-3) – 7| =1.4 + |-15 – 7| =1.4 + |-22|

24. 2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| = 5 Example 1 Evaluate 1.4+|5y – 7| if y=-3 1.4+|5y – 7|=1.4 + |5(-3) – 7| =1.4 + |-15 – 7| =1.4 + |-22| =1.4

25. 2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| = 5 Example 1 Evaluate 1.4+|5y – 7| if y=-3 1.4+|5y – 7|=1.4 + |5(-3) – 7| =1.4 + |-15 – 7| =1.4 + |-22| =1.4 +

26. 2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| = 5 Example 1 Evaluate 1.4+|5y – 7| if y=-3 1.4+|5y – 7|=1.4 + |5(-3) – 7| =1.4 + |-15 – 7| =1.4 + |-22| =1.4 + 22

27. 2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| = 5 Example 1 Evaluate 1.4+|5y – 7| if y=-3 1.4+|5y – 7|=1.4 + |5(-3) – 7| =1.4 + |-15 – 7| =1.4 + |-22| =1.4 + 22 = 23.4

28. Example 2

29. Example 2 Solve |x – 18| = 5.

30. |x – 18| = 5

31. Example 2 Solve |x – 18| = 5. |x – 18| = 5

32. Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5

33. Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5

34. Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5

35. Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5x – 18 = -5

36. Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5x – 18 = -5

37. Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5x – 18 = -5 +18 +18

38. Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5x – 18 = -5 +18 +18 x = 23

39. Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5x – 18 = -5 +18 +18 +18 +18 x = 23

40. Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5x – 18 = -5 +18 +18 +18 +18 x = 23x = 13

41. Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5x – 18 = -5 +18 +18 +18 +18 x = 23x = 13 Example 3

42. Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5x – 18 = -5 +18 +18 +18 +18 x = 23x = 13 Example 3 Solve |5x – 6| + 9 = 0.

43. Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5x – 18 = -5 +18 +18 +18 +18 x = 23x = 13 Example 3 Solve |5x – 6| + 9 = 0. |5x – 6| + 9 = 0

44. Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5x – 18 = -5 +18 +18 +18 +18 x = 23x = 13 Example 3 Solve |5x – 6| + 9 = 0. |5x – 6| + 9 = 0 -9

45. Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5x – 18 = -5 +18 +18 +18 +18 x = 23x = 13 Example 3 Solve |5x – 6| + 9 = 0. |5x – 6| + 9 = 0 -9 |5x – 6| = -9

46. Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5x – 18 = -5 +18 +18 +18 +18 x = 23x = 13 Example 3 Solve |5x – 6| + 9 = 0. |5x – 6| + 9 = 0 -9 |5x – 6| = -9 Note:

47. Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5x – 18 = -5 +18 +18 +18 +18 x = 23x = 13 Example 3 Solve |5x – 6| + 9 = 0. |5x – 6| + 9 = 0 -9 |5x – 6| = -9 Note: Absolute value cannot equal a negative number!

48. Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5x – 18 = -5 +18 +18 +18 +18 x = 23x = 13 Example 3 Solve |5x – 6| + 9 = 0. |5x – 6| + 9 = 0 -9 |5x – 6| = -9 Note: Absolute value cannot equal a negative number!

49. Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5x – 18 = -5 +18 +18 +18 +18 x = 23x = 13 Example 3 Solve |5x – 6| + 9 = 0. |5x – 6| + 9 = 0 -9 |5x – 6| = -9 Note: Absolute value cannot equal a negative number!

50. Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5x – 18 = -5 +18 +18 +18 +18 x = 23x = 13 Example 3 Solve |5x – 6| + 9 = 0. |5x – 6| + 9 = 0 -9 |5x – 6| = -9 Note: Absolute value cannot equal a negative number!

51. Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5x – 18 = -5 +18 +18 +18 +18 x = 23x = 13 Example 3 Solve |5x – 6| + 9 = 0. |5x – 6| + 9 = 0 -9 |5x – 6| = -9 Note: Absolute value cannot equal a negative number!

52. Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5x – 18 = -5 +18 +18 +18 +18 x = 23x = 13 Example 3 Solve |5x – 6| + 9 = 0. |5x – 6| + 9 = 0 -9 |5x – 6| = -9 Note: Absolute value cannot equal a negative number! x = Ø

53. Example 4 Solve 2|x| – 3 = 7

54. +3 +3

55. Example 4 Solve 2|x| – 3 = 7 +3 +3 2|x| = 10

56. Example 4 Solve 2|x| – 3 = 7 +3 +3 2|x| = 10 2 2

57. Example 4 Solve 2|x| – 3 = 7 +3 +3 2|x| = 10 2 2 |x| = 5

58. Example 4 Solve 2|x| – 3 = 7 +3 +3 2|x| = 10 2 2 |x| = 5 x = 5, x = -5