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Do Now 6/4/13 Take out HW from last night. Take out HW from last night. Distributive property worksheet #1-18 all Distributive property worksheet #1-18 all Copy HW in your planner. Copy HW in your planner. Text p. 474, #4-6, 14-19 all Text p. 474, #4-6, 14-19 all Quiz sections 11.1 & 11.2 Friday Quiz sections 11.1 & 11.2 Friday In your notebook, simplify the expressions below using the distributive property. In your notebook, simplify the expressions below using the distributive property. 3k – 8(k + 2) + k 2(n – 9) – 4n + 3 7k – (5 – k) 7k – (5 – k)

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Homework Practice worksheet #1-18 1) 6c + 66 1) 6c + 66 2) 28 – 7k 2) 28 – 7k 3) -44 + (-11x) 3) -44 + (-11x) 4) 35 + (-5r) 4) 35 + (-5r) 5) -14 + (-6y) 5) -14 + (-6y) 6) 10 – 2p 6) 10 – 2p 7) 6b – 102 7) 6b – 102 8) -40c² + (-20) 8) -40c² + (-20) 9) 8 – 18p 9) 8 – 18p 10) –x + (-10) 11) -21 + 6p 12) -9 + f 13) 10y + 12 14) 45y + (-27) 15) 5x + 14 16) 32x + (-40) 17) -17w + (-1) 18) -14j + 3

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Simplifying an Expression with the Distributive Property Write expression as a sum “Opp-Opp” COLLECT LIKE TERMS 2(n – 9) – 4n + 3 2(n – 9) – 4n + 3 -2n + (-15) -2n + (-15) 2(n + (-9)) + (-4n) + 3 2(n + (-9)) + (-4n) + 3 2n + (-18) + (-4n) + 3 2n + (-18) + (-4n) + 3 Distributive Property -2n – 15 -2n – 15 or Commutative Property 2n + (-4n) + (-18) + 3 2n + (-4n) + (-18) + 3

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Simplifying an Expression with the Distributive Property Write expression as a sum “Opp-Opp” COLLECT LIKE TERMS 3k – 8(k + 2) + k 3k – 8(k + 2) + k -4k + (-16) -4k + (-16) 3k + (-8)(1k + 2) + 1k 3k + (-8)(1k + 2) + 1k 3k + (-8k) + (-16) + 1k 3k + (-8k) + (-16) + 1k Distributive Property -4k – 16 -4k – 16 or Commutative Property 3k + (-8k) + 1k + (-16) 3k + (-8k) + 1k + (-16)

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Simplifying an Expression with the Distributive Property Write expression as a sum “Opp-Opp” COLLECT LIKE TERMS 7k – (5 – k) 7k – (5 – k) 8k + (-5) 8k + (-5) 7k + (-1)(5 + (-1k)) 7k + (-1)(5 + (-1k)) 7k + (-5) + 1k 7k + (-5) + 1k Distributive Property 8k – 5 8k – 5 or Commutative Property 7k + 1k + (-5) 7k + 1k + (-5) Place a ‘1’ in front of the parentheses when you have a subtraction sign. 7k – 1(5 – k) 7k – 1(5 – k)

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Objective SWBAT solve multi-step equations having like terms AND the distributive property SWBAT solve multi-step equations having like terms AND the distributive property

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Equation- mathematical sentence with an equal sign mathematical sentence with an equal sign Like a scale, both sides must be EQUAL in order to be balanced.

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Section 11.2 “Solving a Multi-Step Equation” How can you get the “unknown” by itself? How can you get the “unknown” by itself? Solving Multi-Step Equations with Like Terms and Parentheses STEP 1 - Distributive Property STEP 2- Combine like terms. STEP 3- “Undo” addition and/or subtraction. STEP 4- “Undo” multiplication and/or division. STEP 5- Solve for the variable. STEP 6- Check your work.

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Solving Multi-Step Equations… 10 + 6 + 3x = 31 - 16 - 16 3x = 15 3x = 15 Isolate the variable! Get ‘x’ by itself. “Undo” addition “Undo” multiplication 33 x = 5 x = 5 16 + 3x = 31 Combine like terms 10 + 3(x + 2) = 31 10 + 3x + 6 = 31 Distributive Property

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Check Your Work! x = 5 10 + 3((5) + 2) = 31 10 + 3((5) + 2) = 31 Are both sides equal? 10 + 3(x + 2) = 31

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-19 -19 -2x = 16 -2x = 16 “Undo” addition “Undo” multiplication -2-2 x = -8 x = -8 -2x + 19 = 35 Combine like terms -2x + 12 + 7 = 35 Distributive Property -2(x – 6) + 7 = 35 -2(x + (-6)) + 7 = 35 “Opp-Opp”

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+19 +19 -4x = 4 -4x = 4 “Undo” addition “Undo” multiplication -4-4 x = -1 x = -1 -19 + (-4x) = -15 Combine like terms -20 + (-4x) + 1 = -15 Distributive Property -20 – (4x – 1) = -15 -20 + (-1)(4x + (-1)) = -15 “Opp-Opp”

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12x – 3x + 36 = 117 12x – 3x + 36 = 117 9x + 36 = 117 9x = 81 x = 9 Guided Practice – 36 –36 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 8x = -56 x = -7 +5 + 5 8 8 -25 + 4(2x + 5) = -61 -25 + 4(2x + 5) = -61 -25 + 8x + 20 = -61 -25 + 8x + 20 = -61

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Homework Text p. 474, #4-6, 14-19 all Text p. 474, #4-6, 14-19 all 24 2 18 5 17

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