The document provides instructions and examples for solving absolute value equations and evaluating absolute value expressions. It begins with assigning practice problems from the textbook and noting an upcoming test date. It then provides examples of evaluating absolute value expressions when given values for variables. Next, it explains how to solve absolute value equations by considering both cases where the absolute value is equal to the number or its opposite. Students are shown how to graph the solution sets on a number line. Finally, it asks students to write absolute value equations for two graphs.

1. Lesson 2­5.notebook September 12, 2013
Assignment:
1­­>L2.5, pg. 105­106, #2­36 [evens...skip #10] ­ Due Tomorrow (9/13)
2­­>Chapter 2 Test ­ Friday (9/20)

2. Lesson 2­5.notebook September 12, 2013
Lesson 2.5 WarmUp:
Solve each equation. Show all work for full credit.
1) 1.3c = 3.3c + 2.8
2) 2(4r + 6) = 2/3(12r + 18)
3) 12 ­ 4/5(x + 15) = 4
4) 7 ­ 3r = r ­ 4(2 + r)
5) 2/5m = 1/3(2m ­ 12)

3. Lesson 2­5.notebook September 12, 2013
Lesson 2.5:
*To evaluate absolute value expressions...plug in the value(s) for the variable
(s) and simplify.
*To solve absolute value equations...we must consider both possible "cases"...
­­>|x| = 5 the solution is: 5 and ­5
*So... For any real numbers a and b, if |a| = b, then a = b or a = ­b
And.... |a + b| = c, then a + b = c or a + b = ­c
And...the solutions can be graphed on a number line.

4. Lesson 2­5.notebook September 12, 2013
Lesson 2.5 examples:
Evaluate each expression:
A) |3 ­ h| + 13, if h = ­5
B) |f + g| ­ h, if f = 3, g = ­4 and h = 5
C) ­a + |2x ­ a|, if a = ­2 and x = 2.1

5. Lesson 2­5.notebook September 12, 2013
Solve each equation. Graph the solution set.
D) |y + 2| = 4
E) |3n ­ 4| = ­1

6. Lesson 2­5.notebook September 12, 2013
F) 2|y| ­ 3 = 8
G) 4 ­ 3|x| = 10

7. Lesson 2­5.notebook September 12, 2013
Write an equation involving absolute value for each graph.
H)
I)
10 2 3 4 5 6 7 8 9 10­1­2­3­4­5­6­7­8­9­10
10 2 3 4 5 6 7 8 9 10­1­2­3­4­5­6­7­8­9­10