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Do Now 10/27/09 Take out HW from last night. Copy HW in your planner.
Punchline worksheets #43 & #44 Copy HW in your planner. Text p. 127, #12-18 even, #22-30 evens, #33 Quiz sections 3.1 & 3.2 Thursday In your notebook, simplify the expressions below. -3(x + 4) -2a – 3 + 4a + 8 -4a – 3(a + 8)
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“Books Never Written” “Did You Hear About…” JUSTIN HALE BUCK L UPSON
Homework Punchline worksheets #43-44 “Books Never Written” JUSTIN HALE BUCK L UPSON OWEN E LEVIN “Did You Hear About…” THE GUY WHO INVESTED IN FEATHERS BECAUSE HE HEARD THAT THE STOCK MARKET WAS GOING DOWN
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Objective SWBAT solve multi-step equations using algebra
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-3(x + 4) = -3(x) + (-3)(4) = -3x + (-12) -2a – 3 + 4a + 8 -2a + 4a
Remember this… -3(x + 4) = -3(x) + (-3)(4) = -3x + (-12) -2a – 3 + 4a + 8 -2a + 4a + (-3) + 8 = 2a + 5
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-4a – 3(a + 8) -4a +(-3)(a + 8) -4a + (-3a) + (-24) -7a + (-24)
Remember this… -4a – 3(a + 8) -4a +(-3)(a + 8) -4a + (-3a) + (-24) -7a + (-24)
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Equation- mathematical sentence with an equal sign Like a scale,
both sides must be EQUAL in order to be balanced.
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Section 3.2 “Solving a Multi-Step Equation”
How can you get the “unknown” by itself? 8x - 3x - 10 = 20 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.
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Solving Multi-Step Equations…
Isolate the variable! Get ‘x’ by itself. 8x – 3x – 10 = 20 5x – 10 = 20 Combine like terms. 5x – = Add 10 to each side. 5x = 30 Simplify. = 30 5 5x Divide each side by 5. x = 6 Simplify.
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8x – 3x – 10 = 20 x = 6 8(6) – 3(6) – 10 = 20 Check Your Work!
8(6) – 3(6) – 10 = 20 Are both sides equal?
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Solving a Multi-Step Equation
Solving Multi-Step Equations 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 Using the Distributive Property…
6x – 2(x – 5) = 46 Distributive property. 6x – 2x + 10 = 46 Combine like terms. 4x + 10 = 46 Subtract 10 from each side. 4x + 10 – 10 = 46 – 10 Simplify. 4x = 36 Divide each side by 4. = 4x 4 36 Simplify. x = 9
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x = 9 6(9) – 2(9 – 5) = 46 Check Your Work! Are both sides equal?
6x – 2(x – 5) = 46 x = 9 6(9) – 2(9 – 5) = 46 Are both sides equal?
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Guided Practice 2) p – 17p – 6 = -38 1) 6x – 2x + 11 = -5
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Guided Practice 6x – 2(x + 11) = -6 6x + (-2x) + (-22) = -6
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Guided Practice 27 = 3c – 3(6 – 2c) 27 = 3c + (-18) + 6c
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Homework Text p. 127, #12-18 even, #22-30 evens, #33
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