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Do Now 10/30/09 Copy HW in your planner. – Text p. 134, #12-28 evens & #34 & #36 Did you turn in POTW#8? 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 6- Use distributive property and 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? 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 Solving Equations with Variables on Both Sides… Isolate the variable! Get ‘x’ by itself. 9x – 5 = 2(2x + 7.5) 9x – 5 = 2(2x + 7.5) Write original equation. 9x – 5 = 4x + 15 Distributive property 5x – 5 = 15 Subtract 4x from each side. 5x = 20 x=4 Add 5 to each side. Divide each side by 5. Check Your Work! 9x – 5 = 2 (2x + 7.5) x =4 9(4) – 5 = 2 (2(4) + 7.5) Are both sides equal? Solving Equations with Variables on Both Sides…If Possible Isolate the variable! Get ‘x’ by itself. 2 – 15n = 5(-3n +2) 3x +10 – x = 2(x +5) 2 – 15n = -15n + 10 2x + 10 = 2(x+5) 2 – 15n +15n = -15n +15n + 10 2 = 10 No Solution 2x + 10 = 2x + 10 All Numbers Guided Practice 4 + 2x + 8 = 2(x + 6) 7p + 6 – 3p = -38 + 4p 2x + 12 = 2(x + 6) 2x + 12 = 2x + 12 4p + 6 = -38 + 4p 6 ≠ -38 All numbers No solution Homework Text p. 134, #12-28 evens & #34 & #36