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)
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)
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.
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
Lesson 2­5.notebook September 12, 2013
Solve each equation.  Graph the solution set.
D) |y  +  2|  =  4
E) |3n  ­  4|  =  ­1
Lesson 2­5.notebook September 12, 2013
F) 2|y|  ­  3  =  8
G) 4  ­  3|x|  =  10
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

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