Song Titles: "Puff the Magic Dragon"

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Song Titles "Puff the Magic Dragon"
"Leaving on a Jet Plane" Music Group Peter Paul
and Mary Members Peter Yarrow, Noel "Paul"
Stookey, and Mary Travers Year One of the
most successful folk-singing groups of 1960
1961-1970 and 1978-present Interesting Fact
The group was created and managed by Albert
Grossman, who sought to create a folk
"supergroup" by bringing together "a tall blonde
(Mary Travers), a funny guy (Paul Stookey), and a
good looking guy (Peter Yarrow)".
Wikipedia/Internet Aug 2009
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The Distributive Property A multiplying
rule Used to get rid of parentheses
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Distributive Property (four versions)
The product of a and (b c)
Examples a(b c) ab ac
5(x 2) 5x 10 (b c)a ba ca
(x 4)8 8x 32 The product of a
and (b - c) Examples a(b -
c) ab - ac 4(x - 7) 4x -
28 (b - c)a ba - ca
(x - 5)9 9x - 45
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Answers
Answers
4(x 3) _______ 4x 12 (y 5)(-2)
______ 8x 32 y(6 w) _______ 6y yw
-(8 - 2x) ______ -8 2x a(8 - b)
_______ 8a - ab (x - y)z ______ xz -
yz (7 - x)5 _______ 35 - 5x (x -
1)(-9x) ______ -9x2 9x
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How can I use this stuff in real life?
EXAMPLE 1 I want to buy 4 binders for 1.50
each (including tax). Using the distributive
property mentally, how much would this cost?
4(1.00 0.50) Break up 1.50 as 1.00
50cents 4(1.00) 4(0.50)
Distribute the 4 to each
4.00 2.00 Then
multiply these out
6.00 Then add for the
final answer

EXAMPLE 2 I have 35. Is this enough to buy
3 DVD at the sale price of 11.75 each

(including tax) 3(11.00 - 0.25)
Break up 11.75 as 12.00 - 25cents
3(12.00) - 3(0.25) Distribute the
3 to each
36.00 - 0.75 Then multiply these out
35.25
Then subtract for the final answer
Too bad, I am short by a quarter!
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(3y - 4)(-5) y
2t(t7) 5t 4x (2x - 5)6
-2 -x3 5x(x - x2) Super
challenge 3 x - 2 5 - (x - 1) 1 - 2
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(3y - 4)(-5) y
2t(t7) 5t -15y 20 y
2t2 14t
5t -14y 20
2t2 19t 4x (2x - 5)6
-2 -x3 5x(x
- x2) 4x 12x - 30
-2 -x3 5x(x - x2) 16x - 30
-2 -x3
5x2 - 5x3
-2 -6x3 5x2

-12x3 - 10x2 Super challenge
4 x - 2 5 - (x - 1) 1
4 x - 2 5 - x 1 1
4 x - 26 - x 1
4 x - 12 2x
1 4
3x - 11
12x - 44
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Homework Chapter 2 Properties of Real Numbers