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Do Now 6/10/13 Copy HW in your planner. Copy HW in your planner. –Text p. 478, #8-26 evens, & 30 –Cumulative Test Chapters 1-11 Thursday –Benchmark Test next Monday

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Objective SWBAT solve equations with variables on both sides SWBAT solve equations with variables on both sides

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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 11.3 “Solving Equations with Variables on Both Sides” How can you get the “unknown” by itself? How can you get the “unknown” by itself? Solving Equations with Variables on Both Sides STEP 1- Use distributive property. STEP 2- Combine like terms. STEP 3- Collect variables on one side of the equation. STEP 4- “Undo” addition and/or subtraction. STEP 5- “Undo” multiplication and/or division. STEP 6- Solve for the variable. STEP 7- Check your work. 7 - 8x = 4x – 17

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7 – 8x = 4x – 17 + 8x 12 7 = 12x – 17 7 = 12x – 17 To get all the ‘x’ variables on one side “add 8x.” To get the “12x” by itself “add 17” to both sides. +17 +17 24 = 12x 24 = 12x To get the ‘x’ by itself “divide by 12” to both sides. itself “divide by 12” to both sides. + 8x 12 2 = x 2 = x

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Check Your Work! x = 2 7 – 8(2) = 4(2) – 17 Are both sides equal? 7 – 8x = 4x – 17

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5x = 4x + 9 5x = 4x + 9 - 4x - 4x 1x = 9 1x = 9 To get all the ‘x’ variables on one side “subtract 4/9x.” To get the “1/9x” by itself “multiply 9” to both sides. 9 ∙ ∙ 9 1x = 81 1x = 81 - 4x 9 9 9 9 9

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9x – 5 = 4x + 15 9x – 5 = 4x + 15 -4x -4x 5 5x – 5 = 15 5x – 5 = 15 To get all the ‘x’ variables on one side “subtract 4x.” To get the “5x” by itself “add 5” to both sides. + 5 + 5 5x = 20 5x = 20 To get the ‘x’ by itself “divide by 5” to both sides. itself “divide by 5” to both sides. -4x -4x 5 x = 4 x = 4 9x – 5 = 2(2x + 7.5) Distributiveproperty

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8x + 32 = 65 + 5x 8x + 32 = 65 + 5x – 5x 3 3x + 32 = 65 3x + 32 = 65 To get all the ‘x’ variables on one side “subtract 5x.” To get the “3x” by itself “subtract 32” from both sides. - 32 3x = 33 3x = 33 To get the ‘x’ by itself “divide by 3” to both sides. itself “divide by 3” to both sides. – 5x – 5x 3 x = 11 x = 11 8(x + 4) = 5(13 + x) Distributiveproperty

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Geometry Connection The figures below have the same perimeter. Find the perimeter. x + 2 x + 3 = 1x – 2 = 7 x = 9 The perimeter of both figures is 34 units. -3x -3x +2 +2 x + 2 x x – 1 4x – 2 = 3x + 7 4x – 2 = 3x + 7

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

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Homework –Text p. 478, #8-26 evens, & 30 –Cumulative Test Chapters 1-11 Thursday

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