Do Now 6/4/13Do Now 6/4/13 Take out HW from last night.Take out HW from last night.

Distributive property worksheet #1-18 allDistributive property worksheet #1-18 all

Copy HW in your planner.Copy HW in your planner. Text p. 474, #4-6, 14-19 allText p. 474, #4-6, 14-19 all Quiz sections 11.1 & 11.2 FridayQuiz sections 11.1 & 11.2 Friday

In your notebook, simplify the expressions In your notebook, simplify the expressions below using the distributive property.below using the distributive property.

3k – 8(k + 2) + k 3k – 8(k + 2) + k

2(n – 9) – 4n + 3 2(n – 9) – 4n + 3 7k – (5 – k)7k – (5 – k)

HomeworkHomeworkPractice worksheet #1-18Practice worksheet #1-18

1) 6c + 661) 6c + 66 2) 28 – 7k2) 28 – 7k 3) -44 + (-11x)3) -44 + (-11x) 4) 35 + (-5r)4) 35 + (-5r) 5) -14 + (-6y)5) -14 + (-6y) 6) 10 – 2p6) 10 – 2p 7) 6b – 1027) 6b – 102 8) -40c² + (-20)8) -40c² + (-20) 9) 8 – 18p 9) 8 – 18p

10) –x + (-10)10) –x + (-10) 11) -21 + 6p11) -21 + 6p 12) -9 + f12) -9 + f 13) 10y + 1213) 10y + 12 14) 45y + (-27)14) 45y + (-27) 15) 5x + 1415) 5x + 14 16) 32x + (-40)16) 32x + (-40) 17) -17w + (-1)17) -17w + (-1) 18) -14j + 318) -14j + 3

Simplifying an Expression withSimplifying an Expression withthe Distributive Propertythe Distributive Property

Write Write expression as a expression as a sumsum““Opp-Opp”Opp-Opp”

COLLECT LIKE COLLECT LIKE TERMSTERMS

2(n – 9) – 4n + 32(n – 9) – 4n + 3

-2n + (-15)-2n + (-15)

2(n + (-9)) + (-4n) + 32(n + (-9)) + (-4n) + 3

2n2n + + (-18)(-18) + + (-4n)(-4n) + + 33Distributive Distributive PropertyProperty

-2n – 15 -2n – 15 oror

Commutative Commutative PropertyProperty 2n + (-4n)2n + (-4n) + + (-18) + 3(-18) + 3

Simplifying an Expression withSimplifying an Expression withthe Distributive Propertythe Distributive Property

Write Write expression as a expression as a sumsum““Opp-Opp”Opp-Opp”

COLLECT LIKE COLLECT LIKE TERMSTERMS

3k – 8(k + 2) + k 3k – 8(k + 2) + k

-4k + (-16)-4k + (-16)

3k + (-8)(1k + 2) + 1k3k + (-8)(1k + 2) + 1k

3k3k + + (-8k)(-8k) + + (-16) + (-16) + 1k1kDistributive Distributive PropertyProperty

-4k – 16 -4k – 16 oror

Commutative Commutative PropertyProperty 3k + (-8k)3k + (-8k) + + 1k1k + + (-16)(-16)

Simplifying an Expression withSimplifying an Expression withthe Distributive Propertythe Distributive Property

Write Write expression as a expression as a sumsum““Opp-Opp”Opp-Opp”

COLLECT LIKE COLLECT LIKE TERMSTERMS

7k – (5 – k)7k – (5 – k)

8k + (-5)8k + (-5)

7k + (-1)(5 + (-1k))7k + (-1)(5 + (-1k))

7k7k + + (-5) (-5) ++ 1k1k Distributive Distributive PropertyProperty

8k – 5 8k – 5 oror

Commutative Commutative PropertyProperty 7k + 1k7k + 1k + + (-5)(-5)

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.

7k – 7k – 11(5 – k)(5 – k)

Objective Objective

SWBAT solve multi-step equations SWBAT solve multi-step equations having like terms having like terms ANDAND the the distributive propertydistributive property

Equation-Equation-mathematical sentence mathematical sentence with an equal signwith an equal sign

Like a scale,Like a scale,both sides must be both sides must be

EQUALEQUAL in order in order to be balanced.to be balanced.

Section 11.2 “Solving a Section 11.2 “Solving a Multi-Step Equation”Multi-Step Equation”

How can you get the “unknown” by How can you get the “unknown” by itself?itself?

Solving Multi-Step Equations with Like Terms and Solving Multi-Step Equations with Like Terms and ParenthesesParentheses

STEP 1 - Distributive PropertySTEP 1 - Distributive PropertySTEP 2- Combine like terms.STEP 2- Combine like terms.STEP 3- “Undo” addition and/or subtraction.STEP 3- “Undo” addition and/or subtraction.STEP 4- “Undo” multiplication and/or division.STEP 4- “Undo” multiplication and/or division.STEP 5- Solve for the variable.STEP 5- Solve for the variable.STEP 6- Check your work.STEP 6- Check your work.

Solving Multi-Step Solving Multi-Step Equations…Equations…

10 + 6 + 3x = 3110 + 6 + 3x = 31

- 16 - 16 -16-16

3x = 153x = 15

Isolate the variable! Get ‘x’ by itself.Isolate the variable! Get ‘x’ by itself.

““Undo” additionUndo” addition

““Undo” multiplicationUndo” multiplication 33 3 3 x = 5x = 5

16 + 3x = 3116 + 3x = 31Combine like terms Combine like terms

10 + 3(x + 2) = 3110 + 3(x + 2) = 31

10 + 3x + 6 = 3110 + 3x + 6 = 31Distributive Property Distributive Property

Check Your Work!Check Your Work!

xx = 5 = 5

10 + 3(10 + 3((5)(5) + 2) + 2) = 31= 31

Are both sides equal?Are both sides equal?

10 + 3(x + 2) = 3110 + 3(x + 2) = 31

-19 -19 -19-19

-2x = 16-2x = 16

““Undo” additionUndo” addition

““Undo” multiplicationUndo” multiplication

-2-2 -2 -2 x = -8x = -8

-2x + 19 = 35-2x + 19 = 35Combine like terms Combine like terms

-2x + 12 + 7 = 35-2x + 12 + 7 = 35Distributive Property Distributive Property

-2(x – 6) + 7 = 35-2(x – 6) + 7 = 35

-2(x + (-6)) + 7 = 35-2(x + (-6)) + 7 = 35““Opp-Opp” Opp-Opp”

+19 +19 +19+19

-4x = 4-4x = 4

““Undo” additionUndo” addition

““Undo” multiplicationUndo” multiplication

-4-4 -4 -4 x = -1x = -1

-19 + (-4x) = -15-19 + (-4x) = -15Combine like terms Combine like terms

-20 + (-4x) + 1 = -15-20 + (-4x) + 1 = -15Distributive Property Distributive Property

-20 – (4x – 1) = -15-20 – (4x – 1) = -15

-20 + (-1)(4x + (-1)) = -15-20 + (-1)(4x + (-1)) = -15““Opp-Opp” Opp-Opp”

12x – 3x + 36 = 117 12x – 3x + 36 = 117

9x + 36 = 117 9x + 36 = 117

9x = 81 9x = 81

x = 9 x = 9

Guided PracticeGuided Practice

– – 36 –36 36 –36

9 9 9 9

12(x + 3) – 3x = 117 12(x + 3) – 3x = 117

12x + 36 – 3x = 117 12x + 36 – 3x = 117

-25 + 20 +8x = -61 -25 + 20 +8x = -61

-5 + 8x = -61 -5 + 8x = -61

8x = -56 8x = -56

x = -7 x = -7

+5 + 5 +5 + 5

8 8 8 8

-25 + 4(2x + 5) = -61 -25 + 4(2x + 5) = -61

-25 + 8x + 20 = -61 -25 + 8x + 20 = -61

HomeworkHomework Text p. 474, #4-6, 14-19 allText p. 474, #4-6, 14-19 all

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