Do Now 11/4/13Do Now 11/4/13 Take out HW from Friday.Take out HW from Friday.

Punchline worksheets #49Punchline worksheets #49

Copy HW in your planner.Copy HW in your planner. Practice worksheet #1-18 allPractice worksheet #1-18 all

In your notebook, evaluate the following expression 3(2 + 4). Then In your notebook, evaluate the following expression 3(2 + 4). Then evaluate the following expression using the distributive property 3(x + 4).evaluate the following expression using the distributive property 3(x + 4).

HomeworkHomeworkPunchline worksheet #49Punchline worksheet #49

E. 7E. 7 A. -5A. -5 U. 27U. 27 E. 15E. 15 T. 77T. 77 B. 25B. 25°°

T. 11T. 11 L. 13L. 13 I. -60I. -60 A. -16A. -16 L. 50L. 50 K. 44K. 44°°

C. -1C. -1 N. 2N. 2 T. 9T. 9 W. 26W. 26 S. -2.5S. -2.5 W. 110W. 110°°

IT WASN’T A WELL BUCKETIT WASN’T A WELL BUCKET

Objective Objective

SWBAT simplify expressions using the SWBAT simplify expressions using the distributive propertydistributive property

Distributive PropertyDistributive PropertyMultiply across ParenthesesMultiply across Parentheses

= 3(2)= 3(2)

Think of it as looking to Think of it as looking to DISTRIBUTE something something

3(2 + 4)3(2 + 4) 3(6)3(6)

1818

+ 3(4)+ 3(4)= 6 + 12= 6 + 12= 18= 18

Multiply across ParenthesesMultiply across Parentheses

aa(b + c)(b + c)

= = aa(b)(b) + + aa(c)(c)

= ab= ab + ac+ ac

= = aa(b)(b) + (+ (aa)(-c))(-c)

= ab= ab + (-ac)+ (-ac)

aa(b – c)(b – c)

Section 11.2, “Solving Multi-Step Equations”Section 11.2, “Solving Multi-Step Equations”

aa(b +(-c))(b +(-c))““Opp-Opp”Opp-Opp”

or ab – acab – ac

Multiply across ParenthesesMultiply across Parentheses

33(x + 7)(x + 7)

= = 33(x)(x) + + 33(7)(7)

= 3x= 3x + 21+ 21

= = 55(y)(y) + (+ (55)(-4))(-4)

= 5y= 5y + (-20)+ (-20)

55(y – 4)(y – 4)55(y +(-4))(y +(-4))““Opp-Opp”Opp-Opp”

or 5y – 205y – 20

Simplify the ExpressionSimplify the Expression

The Distributive PropertyThe Distributive PropertyOrder doesn’t matter…Order doesn’t matter…

DISTRIBUTIVE PROPERTY-DISTRIBUTIVE PROPERTY-

(b + c)(b + c)aa = b = baa + c + caa

(b - c)(b - c)aa = b = baa + (-c + (-caa))

Multiply across ParenthesesMultiply across Parentheses

(x + 4) (x + 4) 22

= = 22(x)(x) + + 22(4)(4)

= 2x= 2x + 8+ 8

= = -7-7(5)(5) + (+ (-7-7)(-2r))(-2r)

= -35= -35 + 14r+ 14r

-7-7(5 – 2r)(5 – 2r)-7-7(5 +(-2r))(5 +(-2r))““Opp-Opp”Opp-Opp”

Simplify the ExpressionSimplify the Expression

Multiply across ParenthesesMultiply across Parentheses

= = -1-1(4)(4) + (+ (-1-1)(-3r))(-3r)

= -4= -4 + 3r+ 3r

– – (4 – 3r)(4 – 3r)-1-1(4 +(-3r))(4 +(-3r))““Opp-Opp”Opp-Opp”

Place a ‘1’ in Place a ‘1’ in front of the front of the parentheses when parentheses when you have a you have a subtraction sign.subtraction sign.

11

Simplify the ExpressionSimplify the Expression

Simplify the Expression Simplify the Expression A.A. 3(x + 8)3(x + 8)

B.B. -2(a + b)-2(a + b)

C.C. (8 – x)(-9)(8 – x)(-9)

D.D. – – (x + 2y - 4z)(x + 2y - 4z)

A). 3(x) + 3(8) A). 3(x) + 3(8)

3x + 24 3x + 24

B). -2(a) + (-2)(b) B). -2(a) + (-2)(b)

-2a + (-2b) or -2a – 2b -2a + (-2b) or -2a – 2b

C). (8)(-9) + (-1x)(-9) C). (8)(-9) + (-1x)(-9)

-72 + 9x -72 + 9x

D). -1(x) + (-1)(2y) + (-1)(-4z)D). -1(x) + (-1)(2y) + (-1)(-4z)

-1x + (-2y) + 4z-1x + (-2y) + 4z(-1)(x + 2y - 4z)(-1)(x + 2y - 4z)

Find the Area of the FiguresFind the Area of the Figures8 – 12w 8 – 12w

99

Area = length x widthArea = length x width

Area = (9)(8 – 12w)Area = (9)(8 – 12w)

Area = 72 – 108w unitsArea = 72 – 108w units²²

12 12

8 – 3y8 – 3y

Area = (½)bhArea = (½)bh

Area = (½)(12)(8 – 3y)Area = (½)(12)(8 – 3y)

Area = 6(8 – 3y)Area = 6(8 – 3y)

Area = 48 – 18y unitsArea = 48 – 18y units²²

ChallengeChallenge

3x – (x + 7)3x – (x + 7)

3x + (-1)(x + 7) 3x + (-1)(x + 7)

3x + (-1x) + (-7)3x + (-1x) + (-7)

2x + (-7) 2x + (-7)

HomeworkHomework- - Practice worksheet #1-18 allPractice worksheet #1-18 all

2424

Distributive Property Distributive Property Using Algebra TilesUsing Algebra Tiles

Write an expression for the area model. Write an expression for the area model.

==

(x+2)(x+2) 2x+42x+4===1=1=x=x

22

Use the distributive property Use the distributive property to simplifyto simplify

HomeworkHomeworkPunchline worksheet #44Punchline worksheet #44

1) -61) -6 3) 323) 32 5) 115) 11 7) -77) -7 9) -409) -40 11) 1511) 15 13) -913) -9 15) -115) -1

2) -242) -24 4) -354) -35 6) -126) -12 8) 428) 42 10) 4510) 45 12) 9912) 99 14) 7014) 70 16) -16016) -160

The guy who invested in feathers because he The guy who invested in feathers because he heard the stock market was going down?heard the stock market was going down?