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3.2 mult & div 1

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3.2 mult & div 1

  1. 1. Lesson 3.2 , For use with pages 122-126 Solve the equation using mental math. 1. 5 m = 35 2. t ÷ 11 = 10
  2. 2. Lesson 3.2 , For use with pages 122-126 Solve the equation using mental math. 1. 5 m = 35 2. t ÷ 11 = 10 ANSWER 7 ANSWER 110
  3. 3. Solving Equations Using Multiplication & Division Transformations Section 3.2 Page 122
  4. 4. <ul><li>All of the equations we have solved so far have been in the form of: </li></ul><ul><li>3 + x = -5 </li></ul><ul><li>Now we will look at equations in the form of: 3x = -9 2/3 x = 18 </li></ul><ul><li>-2/5 x = -6/7 </li></ul><ul><li>Notice how they are “connected” to the variable. (by what operation?) </li></ul>
  5. 5. Properties of Equality <ul><li>Multiplication Property of Equality If a = b, then ca = cb </li></ul><ul><li>Division Property of Equality If a = b, then a = b c c c = 0 </li></ul>
  6. 6. <ul><li>Just like addition and subtraction transformations, what ever you do to one side of the equation, you MUST do to the other. </li></ul><ul><li>If you multiply one side by two, you must multiply the other side by two. </li></ul>
  7. 7. Solve: <ul><li>-3x = 15 </li></ul><ul><li>-3x = 15 divide by -3 </li></ul><ul><li>-3 -3 </li></ul><ul><li>x = -5 simplify </li></ul><ul><li>Note: do NOT use division sign – use fraction bar to represent division. </li></ul>Solving Equations Using Multiplication & Division Transformations
  8. 8. Solve: <ul><li>-3x = 15 </li></ul><ul><li>-3x = 15 You could also Mult by – 1/3 </li></ul><ul><li>(-1/3) (-3x) = 15 (-1/3) </li></ul><ul><li>1x = -5 </li></ul><ul><li>x = -5 </li></ul><ul><li>Is dividing by -3 the same thing as multiplying by -1/3? </li></ul><ul><li>YES!! </li></ul>
  9. 9. <ul><li>-3x = - 8 </li></ul><ul><li>-3x = - 8 </li></ul><ul><li>-3 -3 divide by -3 </li></ul><ul><li>x = + 8/3 or 2 2/3 </li></ul>Solving Equations Using Multiplication & Division Transformations
  10. 10. <ul><li>-12x = - 60 </li></ul><ul><li>-12x = - 60 </li></ul><ul><li>-12 -12 divide by -12 </li></ul><ul><li>x = 5 </li></ul>Solving Equations Using Multiplication & Division Transformations
  11. 11. Solve each equation Is x/4 the same as 1/4x?
  12. 12. Solve each equation
  13. 13. Solve each equation
  14. 14. <ul><li>A movie theater has 1025 seats. Each row has 25 seats. How many rows are there in the theater? </li></ul><ul><li>x = # of rows ( identify variable) </li></ul><ul><li>25x = 1025 write equation </li></ul><ul><li>25 25 </li></ul><ul><li>x = 41 rows solve /label </li></ul>
  15. 15. <ul><li>The average charge in value of a company’s high-resolution graphic printer is -$150 per month. How many months later is the value relative to the original cost of -$1200? </li></ul><ul><li>x = # months later </li></ul><ul><li>-150x = -1200 </li></ul><ul><li>-150 -150 </li></ul><ul><li>x = 8 months later </li></ul>
  16. 16. <ul><li>Assignment : P. 124 10-22 evens,43-46 </li></ul><ul><li>43-46 x = identify varible write equation </li></ul><ul><li>Solve – answer questions </li></ul><ul><li>You must show ALL the steps to solve on your paper. Having only the answer will NOT be counted correct. </li></ul><ul><li>Check mentally to make sure your answer is correct. </li></ul>

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