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Objective - To translate variable expressions.

twice. Objective - To translate variable expressions. add. subtract. multiply. divide. plus. minus. times. quotient. sum. difference. product. increased by. decreased by. …of. total. diminished by. less. more than. less than. added to. subtracted from. Backwards Words.

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Objective - To translate variable expressions.

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  1. twice Objective - To translate variable expressions. add subtract multiply divide plus minus times quotient sum difference product increased by decreased by …of... total diminished by less more than less than added to subtracted from

  2. Backwards Words Add 3 and 7 = 3 + 7 The sum of 3 and 7 = 3 + 7 3 increased by 7 = 3 + 7 The total of 3 and 7 = 3 + 7 3 more than 7 = 7 + 3 3 added to 7 = 7 + 3

  3. Backwards Words 7 subtract 3 = 7 - 3 The difference of 7 and 3 = 7 - 3 7 decreased by 3 = 7 - 3 7 diminished by 3 = 7 - 3 7 less 3 = 7 - 3 7 less than 3 = 3 - 7 7 subtracted from 3 = 3 - 7

  4. Translate the following phrases. 1) Five plus x minus 3 5 + x - 3 2) Three times y less 4 3) Eight multiplied by y minus 7 8y - 7 4) The product of 10 and m decreased by 7 10m - 7 5) Four more than the quotient of x and 3 6) Six times m plus 8 6m + 8

  5. Match each phrase with its variable expression. d 1) Twice the sum of x and 3 e 2) Two less than the product of 3 and x b 3) Three times the difference of x and 2 a 4) Twice a number x less 3 c 5) Two more than 3 times a number x

  6. Translate the following phrases. 1) 5 less than a number x x - 5 2) 5 less a number x 5 - x 3) 5 less twice a number x 5 - 2x 4) 2 more than the difference of x and 5 (x - 5) + 2 5) Twice the difference of x and 5 2(x - 5) 6) Twice the sum of x and 5 2(x + 5)

  7. Write a phrase that describes each variable expression below. Four times the sum of x and 5 minus 2 Seven minus twice the quotient of x and 3 The quotient of m and 9 minus 4

  8. Define a variable to represent the unknown and write the phrase as a variable expression. 1) 10 mph faster than the Honda Let x = the speed of the Honda x + 10 2) 7 inches shorter than Jill’s brother Let b = the height of Jill’s brother b - 7 3) 5 acres larger than twice the size of my lot Let k = the size of my lot 2k + 5 4) $7.50 times the number of people plus a $20 group registration Let y = the number of people $7.5y + $20

  9. Problem Situation #1 A cab driver charges a surcharge of $4 plus $1.50 per mile. Write a variable expression that represents the total cost of the fare. Let x = # of miles driven 4 + 1.5x

  10. Problem Situation #2 ATI Phone Services charges a monthly fee of $16 plus 18 cents a minute for local calls and 40 cents a minute for long distance. Write a variable expression that describes the total monthly bill. Let a = # of local minutes Let b = # of long distance minutes 16 + 0.18a + 0.40b

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