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Do Now 10/7/09. Take out HW from Monday. Text p. 150-152, #4-42 even Copy HW in your planner. Text p. 157-158 #8-14 even, #18-26 even, #38-44 even QUIZ 3.1- 3.4 Friday. 4) 3 6) -5 8) -5 10) -7 12) 2 14) 3 16) 5 18) C 20) 1 22) 5 24) 22.
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Do Now 10/7/09 • Take out HW from Monday. • Text p. 150-152, #4-42 even • Copy HW in your planner. • Text p. 157-158 #8-14 even, #18-26 even, #38-44 even • QUIZ 3.1- 3.4 Friday
4) 3 6) -5 8) -5 10) -7 12) 2 14) 3 16) 5 18) C 20) 1 22) 5 24) 22 26) Multiply each side by 2, not 1/2: x = 9 28) 0.5 30) 0.1 32) 1.2 34) 5 1/3 36) a). 12 b). 2.5 38) 6 tickets 40) 8 minutes 42) a). y = 74.5 x + 750; x = 21 squares Homework Text p. 150-152, #4-42 even
Objective • SWBAT solve equations with variables on both sides
Equation- • mathematical sentence with an equal sign Like a scale, both sides must be EQUAL in order to be balanced.
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… Isolate the variable! Get ‘x’ by itself. 7 – 8x = 4x – 17. Write original equation. 7 – 8x + 8x= 4x – 17 + 8x Add 8xto each side. 7 = 12x – 17 Simplify each side. 24 = 12x Add 17 to each side. 2 = x Divide each side by 12.
Check Your Work! 7 – 8x = 4x – 17 x = 2 7 – 8(2) = 4(2) – 17 Are both sides equal?
(16x + 60). 9x–5= (16x + 60). 9x – 5= 1 1 4 4 Solving Equations with Variables on Both Sides… Isolate the variable! Get ‘x’ by itself. Write original equation. 9x – 5 = 4x + 15 Distributive property 5x – 5 = 15 Subtract 4xfrom each side. 5x =20 Add 5 to each side. x = 4 Divide each side by 5.
Check Your Work! 9x – 5 = ¼ (16x + 60) x = 4 9(4) – 5 = ¼ (16(4) + 60) 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 2x + 10 = 2x + 10 2 = 10 Identity No Solution
Guided Practice • 2) -17p – 6 = -38 – p • 1) 6x + 11 = 2x – 5 -16p – 6 = -38 4x + 11 = -5 -16p = -32 4x = -16 p = 2 x = -4
Guided Practice 7p + 6 – 3p = -38 + 4p 4 + 2x + 8 = 2(x + 6) 4p + 6 = -38 + 4p 2x + 12 = 2(x + 6) 6 ≠ -38 2x + 12 = 2x + 12 No solution Identity All numbers
Geometry Connection 4x – 2 4x – 2 = 3x + 7 Find the area and perimeter of the square. 4x – 3x = 7 + 2 3x + 7 x = 9 The perimeter of the square is 34(4) which is 136 units. The area of the square is 34 x 34 which is 1156 square units.
Homework Text p. 157-158 #8-14 even, #18-26 even, #38-44 even Mid-Chapter 3 Quiz Friday