1. 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)
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2. Lesson 2­5.notebook October 11, 2012
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)
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3. Lesson 2­5.notebook October 11, 2012
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.
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4. Lesson 2­5.notebook October 11, 2012
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
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5. Lesson 2­5.notebook October 11, 2012
Solve each equation. Graph the solution set.
D) |y + 2| = 4
E) |3n ­ 4| = ­1
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6. Lesson 2­5.notebook October 11, 2012
F) 2|y| ­ 3 = 8
G) 4 ­ 3|x| = 10
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7. Lesson 2­5.notebook October 11, 2012
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
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