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Do Now 12/17/10 Take out HW from last night. – Brain Game text p. 129 Copy HW in your planner. – Text p. 133, #3-12 all, & 34 & 35 – Test Sections 3.1-3.3 Wednesday Did you turn in POTW#4? Homework Text p. 129 Brain Game Patent Puzzle - 1873 Objective SWBAT solve equations with variables on both sides Equationmathematical sentence with an equal sign Like a scale, both sides must be EQUAL in order to be balanced. Section 3.3 “Solving Equations with Variables on Both Sides” How can you get the “unknown” by itself? 7 - 8x = 4x – 17 Solving Equations with Variables on Both Sides STEP 1STEP 2STEP 3STEP 4STEP 5STEP 6STEP 7- Use distributive property. Combine like terms. Collect variables on one side of the equation. “Undo” addition and/or subtraction. “Undo” multiplication and/or division. Solve for the variable. Check your work. To get all the ‘x’ variables on one side “add 8x.” 7 – 8x = 4x – 17 + 8x + 8x 7 = 12x – 17 +17 +17 24 = 12x 12 12 2=x To get the “12x” by itself “add 17” to both sides. To get the ‘x’ by itself “divide by 12” to both sides. Check Your Work! 7 – 8x = 4x – 17 x =2 7 – 8(2) = 4(2) – 17 Are both sides equal? Distributive property To get all the ‘x’ variables on one side “subtract 4x.” To get the “5x” by itself “add 5” to both sides. 9x – 5 = 2(2x + 7.5) 9x – 5 = 4x + 15 -4x -4x 5x – 5 = 15 +5 +5 5x = 20 5 5 x=4 To get the ‘x’ by itself “divide by 5” to both sides. Check Your Work! 9x – 5 = 2 (2x + 7.5) x =4 9(4) – 5 = 2 (2(4) + 7.5) Are both sides equal? Distributive property 8(x + 4) = 5(13 + x) 8x + 32 = 65 + 5x – 5x – 5x 3x + 32 = 65 - 32 - 32 3x = 33 3 3 x = 11 To get all the ‘x’ variables on one side “subtract 5x.” To get the “3x” by itself “subtract 32” from both sides. To get the ‘x’ by itself “divide by 3” to both sides. Practice 1) 6x + 11 = 2x – 5 4x + 11 = -5 4x = -16 x = -4 2) -17p – 6 = -38 – p -16p – 6 = -38 -16p = -32 p=2 NJASK7 Homework – Text p. 133, #3-12 all, & 34 & 35 – Test Sections 3.1-3.3 Wednesday