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Writing Equations with the Variable on Both Sides

Quiz by Breanna Lary

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8 questions
Show answers
  • Q1
    Tim is choosing between two cell phone plans that offer the same amount of free minutes. Cingular’s plan charges $39.99 per month with additional minutes costing $0.45. Verizon’s plan costs $44.99 with additional minutes at $0.40. How many additional minutes, a, will it take for the two plans to cost the same?
    39.99-0.45a=44.99-0.40a
    44.99+0.40a=39.99-0.45a
    39.99+0.45a=44.99+0.40a
    39.99+0.40a=44.99+0.45a
    30s
  • Q2
    Container A and container B have leaks. Container A has 800 ml of water, and is leaking 6 ml per minute. Container B has 1000 ml, and is leaking 10 ml per minute. Write an equation for how many minutes, m, it will take for the two containers to have the same amount of water?
    800+6m=1000+10m
    1000-10m=800-6m
    800-6m=1000+10m
    800-6m=1000-10m
    30s
  • Q3
    The cost to purchase a song from iTunes is $0.99 per song. To purchase a song from Spotify, you must be a member. The Spotify membership fee is $10. In addition, each purchased song costs $0.25. Make an equation for the monthly price of Spotify to the same as iTunes.
    0.99x=10-0.25x
    0.99x=10+0.25x
    0.25x=10+0.99x
    0.99x=10+0.25x
    30s
  • Q4
    Container A has 200 L of water, and is being filled at a rate of 6 liters per minute. Container B has 500 L of water, and is being drained at 6 liters per minute. Write an equation for how many minutes, m, it will take for the two containers to have the same amount of water.
    200+6m=500-6m
    500+6m=200-6m
    200+6m=500+6m
    200-6m=500-6m
    30s
  • Q5
    UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each additional pound. How many pounds, p, will it take for UPS and FedEx to cost the same?
    7+0.30p=5+0.20p
    7-0.20p=5-0.30p
    7+0.20p=5+0.30p
    7+0.20p=5-0.30p
    30s
  • Q6
    A twelve inch candle and an 18 inch candle are lit at 6 pm. The 12-in. candle burns 0.5 inches every hour. The 18 inch candle burns two inches every hour. Write an equation for when the two candles be the same height. Let h represent the number of hours
    12-2h=18-0.5h
    12+0.5h=18+2h
    12-0.5h=18-2h
    12-0.5h=18+2h
    30s
  • Q7
    Bill weighs 120 pounds and is gaining ten pounds each month. Phil weighs 150 pounds and is gaining 4 pounds each month. Write an equation for how many months, m, it will take for Bill to weigh the same as Phil?
    120+10m=150+4m
    120+4m=150+10m
    120+10m=150-4m
    120-10m=150-4m
    30s
  • Q8
    On Saturday, you bowl at Mar Vista Bowl, where renting shoes costs $2 and each game bowled is $3.50. On Sunday, you bowl at Pinz where the shoe rental is $5 and each game bowled is $3.25. If you spent the same amount each day, how many games, g, were bowled?
    2+3.25g=5+3.50g
    2-3.50g=5-3.25g
    2+3.50g=5+3.25g
    2-3.50g=5+3.25g
    30s

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