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Writing Equations with Variables on Both Sides

Quiz by Alicia Hutchinson

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4 questions
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  • Q1
    Drew wants to buy packages of blank DVD's. At Office Pro, each package cost $5 each, and Drew has a coupon for $8 off the total purchase price. At Best Deal each package cost $4 each. Write and solve an equation to find the number of packages for which the total cost is the same at both stores.
    5x+4x = 8 ; 9 packages
    5x -8 = 4x ; 8 packages
    5x=4x-8 ; 8 packages
    30s
  • Q2
    Bob's Bike Rentals charges an initial fee of $6 to rent a bike, plus $5 an hour. Boardwalk bikes charges and $8 initial fee plus $4 an hour. Write and solve an equation for which the total cost to rent a bike is the same at both agencies.
    6x + 5 = 8x + 4; 2 hours
    5x- 6 = 4x + 8 ; 14 hours
    5x + 6 = 4x +8 ; 2 hours
    5x+6 = 4x-8 ; 14 hours
    30s
  • Q3
    Alena is arranging photographs on a wall. If she arranges the photographs in 4 rows of equal length, she has 20 photographs left over. If she arranges the photographs in 6 rows, each with the same length as before, she has 2 photographs left over. Write and solve an equation to find the number of photographs in each row.
    4x +20 = 6x-2 ; 11 photographs in each row
    4x + 20 = 6x +2 ; 9 photographs in each row
    30s
  • Q4
    Alena is arranging photographs on a wall. If she arranges the photographs in 4 rows of equal length, she has 20 photographs left over. If she arranges the photographs in 6 rows, each with the same length as before, she has 2 photographs left over. Write and solve an equation to find the number of photographs in each row. Then find how many photographs Alena has.
    66
    54
    56
    64
    30s

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