Do Now 11/4/13
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Take out HW from Friday.
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Copy HW in your planner.
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Punchline worksheets #49
Practice worksheet #1-18 all
In your notebook, evaluate the following
expression 3(2 + 4). Then evaluate the
following expression using the distributive
property 3(x + 4).
Homework
Punchline worksheet #49
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E.
A.
U.
E.
T.
B.
7
-5
27
15
77
25°
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T. 11
L. 13
I. -60
A. -16
L. 50
K. 44°
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C. -1
N. 2
T. 9
W. 26
S. -2.5
W. 110°
IT WASN’T A WELL BUCKET
Objective
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SWBAT simplify expressions using the
distributive property
Distributive Property
Multiply across Parentheses
3(2 + 4)
3(6)
18
= 3(2) + 3(4)
= 6 + 12
=
18
Think of it as looking to DISTRIBUTE something
Section 11.2, “Solving Multi-Step Equations”
Multiply across Parentheses
a(b + c) = a(b) + a(c)
= ab + ac
a(b –+(-c))
c) = a(b) + (a)(-c)
“Opp-Opp”
= ab + (-ac)
or
ab – ac
Simplify the Expression
Multiply across Parentheses
3(x + 7) = 3(x) + 3(7)
= 3x + 21
5(y –+(-4))
4) = 5(y) + (5)(-4)
“Opp-Opp”
= 5y + (-20)
or
5y – 20
The Distributive Property
Order doesn’t matter…
DISTRIBUTIVE PROPERTY-
(b + c)a = ba + ca
(b - c)a = ba + (-ca)
Simplify the Expression
Multiply across Parentheses
(x + 4) 2 = 2(x) + 2(4)
= 2x + 8
-7(5 +(-2r))
– 2r) = -7(5) + (-7)(-2r)
“Opp-Opp”
= -35 + 14r
Simplify the Expression
Multiply across Parentheses
Place a ‘1’ in front
of the parentheses
when you have a
subtraction sign.
-1(4
–1(4+(-3r))
– 3r) = -1(4) + (-1)(-3r)
“Opp-Opp”
= -4
+ 3r
Simplify the Expression
A.
3(x + 8)
B.
-2(a + b)
C.
D.
(8 – x)(-9)
– (x + 2y - 4z)
(-1)(x + 2y - 4z)
A). 3(x) + 3(8)
3x + 24
B). -2(a) + (-2)(b)
-2a + (-2b) or
-2a – 2b
C). (8)(-9) + (-1x)(-9)
-72 + 9x
D). -1(x) + (-1)(2y) + (-1)(-4z)
-1x + (-2y) + 4z
Find the Area of the Figures
8 – 12w
9
8 – 3y
12
Area = length x width
Area = (½)bh
Area = (9)(8 – 12w)
Area = (½)(12)(8 – 3y)
Area = 72 – 108w units²
Area = 6(8 – 3y)
Area = 48 – 18y units²
Challenge
3x – (x + 7)
3x + (-1)(x + 7)
3x + (-1x) + (-7)
2x + (-7)
24
Homework
- Practice worksheet #1-18 all
Distributive Property
Using Algebra Tiles
Write an expression for the area model.
=x
=1
Use the distributive property
to simplify
2 (x+2)
= 2x+4
=
Homework
Punchline worksheet #44
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1) -6
3) 32
5) 11
7) -7
9) -40
11) 15
13) -9
15) -1
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2) -24
4) -35
6) -12
8) 42
10) 45
12) 99
14) 70
16) -160
The guy who invested in feathers because he
heard the stock market was going down?