8th alg -l2.5--oct11

Lesson 25.notebook October 11, 2012

Assignment:

1>L2.5, pg. 105106, #236 [evens...skip #10] Due Monday (10/15)
2>Checkpoint 2.12.4 Due Monday (10/15)

3>Chapter 2 Test Thursday (10/25)

1


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)

2


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.

3


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

4


Solve each equation.  Graph the solution set.
D) |y  +  2|  =  4

E) |3n    4|  =  1

5


F) 2|y| 3 = 8

G) 4 3|x| = 10

6


Write an equation involving absolute value for each graph.
H)
10 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 10

I)
10 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 10

7

8th alg -l2.5--oct11

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8th alg -l2.5--oct11