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  1. 1. 2.4 variables and equations September 12, 2011 Distribute. Simplify Bellwork 1. -3(x - 7) 3. -3(x - 7)+ 2x 2. (4 + c)8 4. 4 + 8c - 5 Objective - classify types of equationsHW pg. 1­35 odds 1
  2. 2. 2.4 variables and equations September 12, 2011 equation - mathematical sentence with an equal sign Types of equations well see: 9 + 2 = 11 numerical expression = numerical expression x + 7 = 37 variable expression = numerical expression a + (-3) = 2a + 5 variable expression = variable expressionHW pg. 1­35 odds 2
  3. 3. 2.4 variables and equations September 12, 2011 open sentence - equation with one or more variables State whether each equation is true or false, and open sentence. 6 + 12 = 18 6=4+3 6 = - 3 + 5yHW pg. 1­35 odds 3
  4. 4. 2.4 variables and equations September 12, 2011 Write an equation for Nine times the opposite of five is forty-five. Is this T, F, or open?HW pg. 1­35 odds 4
  5. 5. 2.4 variables and equations September 12, 2011 Write an equation for twenty minus x is three Is this T, F, or open?HW pg. 1­35 odds 5
  6. 6. 2.4 variables and equations September 12, 2011 solution of an equation - a value of a variable that makes an equation true. Is 30 a solution of the equation 170 + x = 200?HW pg. 1­35 odds 6
  7. 7. 2.4 variables and equations September 12, 2011 Is the given number a solution of the equation? 8 + t = 2t; 1HW pg. 1­35 odds 7
  8. 8. 2.4 variables and equations September 12, 2011 A divers equipment weighs 35 lb. The diver plus the equipment weighs 165 lb. Can the divers weight be 200 lb?HW pg. 1­35 odds 8
  9. 9. 2.4 variables and equations September 12, 2011 HW: pg 82 #1-35 oddsHW pg. 1­35 odds 9
  10. 10. 2.4 variables and equations September 12, 2011 Page 82 # 2 ­ 22 even, 27 ­ 40 all, 51 ­ 53 all 2  open 31  true, 12 = 12 4  open 32  open 6  open 33  (­20)(9) = ­11, false; ­180 = ­ 11 8  open 34  15 + n = 60; open 10  4(­5) = ­20, true, ­20 = ­20 12  yes 35  48 ÷ 12 = 3; false 4 ≠ 3 14  yes 36  No; an expression is not a sentence 16  no 37  yes, ­9 = ­9 18  no 38  no 14 ≠ 2 20  yes 39  no ­ 6 ≠ 6 22  850 + x = 1,200 40  yes; 2 = 2 27  true, 18 = 18 51  16 28  false, 48 = 108 52  0 29  open 30  ture, 10 = 10 53  8HW pg. 1­35 odds 10
  11. 11. 2.4 variables and equations September 12, 2011 P 78 # 1­ 3, 11 ­ 26 all, 32, 35     coef,      like,        constant 1  3, 5        none   ­3 2  2       none           ­7 3  4, ­7, 3  4x, ­7x, 3x    none 11  13a 12  13a 23  ­60 + 54k 13  ­b 24  ­4r + 3 14  6w 25  ­5a ­ 12 15  8r ­ 5 26  3 16  9a ­ 3 32  4p + 10 + 3, or 4p + 13 17  5g + 15 35  The variables are not separated  18  5z + 8y 19  ­m + 4d       by a plus or minus sign 20  3t + 1 21  11z + 8y 22  4HW pg. 1­35 odds 11

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