P. 58 #10 – 19 (pick 4)

#20 - 49 (pick 6)

#20 - 49 (pick 6)

#20 - 49 (pick 6)

#20 - 49 (pick 6)

#20 - 49 (pick 6)

#52 -71 (pick 5)

#52 -71 (pick 5)

#52 -71 (pick 5)

Lesson 1-8: Solving Absolute Value

Equations and Inequalities

Warm-Up:

m = -4 m = 2 m = 0

k > 8 k < -12 k > -2

TRY THIS - page 63

Solve 3 5 7. Graph the solution on a number line.x

3 5 7 or 3 5 7x x

3 2x 2

3x

3 12x

4x

Check by graphing

3 5 7 - means "for which x values does the

equation 3 5 intersect the equation 7?"

x

y x y

24

3x x

Absolute Value Equations can have

0, 1, 2, or infinitely many solutions

2 solutions no solution

1 solution Infinitely many solutions

Example 2 Solve 3 3 5x x 3 3 5 or 3 (3 5)x x x x 2 8

4

x

x

3 3 5x x 4 2x

1

2x

Extraneous solution

Only one solution exists

TRY THIS - page 64: Solve 4 1. Check your solution.x x

4 1

0 5

nonsense

x x

4 ( 1)

4 1

2 3

3 or 1.5

2

x x

x x

x

x

< will represent AND - think “less thAND”

> will represent OR - think “greatOR than”

Example 3 Solve 5 3 9. Graph on a number line.x

5 3 9 OR 5 3 9x x greatOR

3 4x 43

x

3 14x 143

x 1.3x 4.6x

For what values of x is above 5 3y x 9 ?y

1.3 OR 4.6x x

TRY THIS: middle of page 65 3x 7 > 1

<> or3x 7 1 3x 7 1

Check by graphing:

Symbol says greatOR

x >8

3x < 2or

TRY THIS - bottom of p. 65Solve 5 3 7. Graph the solution. x

5 3 7 AND 5 3 7x x

5 10

2

x

x

5 4

4 or 0.8

5

x

x x

42 AND

54

or more simply: 25

x x

x

Class Practice: page 67 #6, 7, 9, 11, 12, 14, 15, 17

Class Practice: page 67 #6, 7, 9, 11, 12, 14, 15, 17

Class Practice: page 67 #6, 7, 9, 11, 12, 14, 15, 17

114. 5

21 1

5 and 52 2

9 11 and

2 2 or 5.5 4.5

x

x x

x x

x

Class Practice: page 67 #6, 7, 9, 11, 12, 14, 15, 17

All real numbers

HOMEWORK:

Worksheet 1.8OR

p. 67 #19 - 24p. 68 #25, 35, 36, 40, 41, 44, 45

Chapter 1 TEST - Wednesday