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Do Now 10/31/13 Take out HW from last night. Take out HW from last night. Punchline worksheet #43 Punchline worksheet #43 Copy HW in your planner. Copy HW in your planner. Text p. 474, #1-3, 8-13 all Text p. 474, #1-3, 8-13 all In your notebook, simplify the expressions below. In your notebook, simplify the expressions below. 2n – 9 – 4n + 3 7a – 2 – 3a

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In your notebook, simplify the expressions below. In your notebook, simplify the expressions below. 2n – 9 – 4n + 3 7a – 2 – 3a Remember this…

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Write expression as a sum “Opp-Opp” COLLECT LIKE TERMS 4a + (-2) 7a + (-2) + (-3a) 7a + (-2) + (-3a) 7a + (-3a) + (-2) 7a + (-3a) + (-2) Commutative Property Remember this… 7a – 2 – 3a 7a – 2 – 3a

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Write expression as a sum “Opp-Opp” COLLECT LIKE TERMS 2n – 9 – 4n + 3 2n – 9 – 4n + 3 -2n + (-6) -2n + (-6) 2n + (-9) + (-4n) + 3 2n + (-9) + (-4n) + 3 2n + (-4n) + (-9) + 3 2n + (-4n) + (-9) + 3 Commutative Property -2n – 6 -2n – 6 or Remember this…

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Punchline worksheet #43 “Books Never Written” JUSTIN HALE BUCK L UPSON OWEN E LEVIN

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Objective SWBAT solve multi-step equations having like terms SWBAT solve multi-step equations having like terms

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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 Multi-Step Equations” How can you get the “unknown” by itself? How can you get the “unknown” by itself? Solving Multi-Step Equations STEP 1- 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. 8x - 3x - 10 = 20

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Solving Multi-Step Equations… 8x – 3x – 10 = 20 + 10 +10 5x = 30 5x = 30 Isolate the variable! Get ‘x’ by itself. “Undo” addition “Undo” multiplication 55 x = 6 x = 6 5x – 10 = 20 Combine like terms

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Check Your Work! x = 6 8(6) – 3(6) – 10 = 20 Are both sides equal? 8x – 3x – 10 = 20

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12x + (-10x) + (-1) = 23 12x + (-10x) + (-1) = 23 - (-1) -(-1) 2x = 24 2x = 24 “Undo” addition “Undo” multiplication 22 x = 12 x = 12 2x + (-1) = 23 2x + (-1) = 23 Combine like terms 12x – 1 – 10x = 23 “Opp-Opp” 12x + (-1) + (-10x) = 23 12x + (-1) + (-10x) = 23

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2x + (-4x) + (-1) + 7 = 18 2x + (-4x) + (-1) + 7 = 18 - 6 - 6 -2x = 12 -2x = 12 “Undo” addition “Undo” multiplication -2-2 x = -6 x = -6 -2x + 6 = 18 -2x + 6 = 18 Combine like terms 2x – 1 – 4x + 7 = 18 “Opp-Opp” 2x + (-1) + (-4x) + 7 = 18 2x + (-1) + (-4x) + 7 = 18

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1) 6x – 2x + 11 = -5 1) 6x – 2x + 11 = -5 2) p – 17p – 6 = -38 2) p – 17p – 6 = -38 4x + 11 = -5 4x = -16 x = -4 -16p – 6 = -38 -16p – 6 = -38 -16p = -32 -16p = -32 p = 2 p = 2 Guided Practice – 11 –11 4 4 +6 +6 -16 -16 -16 -16

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Geometry Connection What is the value of ‘x’ ? What is the value of ‘x’ ? What is the length of the base of the trapezoid? What is the length of the base of the trapezoid? 3x 5x x + 2 x + 2 + 3x + x + 2 + 5x = 34 (reorder terms) (reorder terms) 1x + 3x + 1x + 5x + 2 + 2 = 34 (combine like terms) 10x + 4 = 34 10x = 30 10x = 30 x = 3 x = 3 Perimeter = 34 units x = 3 15 units

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Homework Text p. 474, #1-3, 8-13 all Text p. 474, #1-3, 8-13 all 24 2 18 5 17

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