Writing Equations with Variables on Both Sides

QuizÂ by Alicia Hutchinson

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4 questions
• 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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