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Systems of Equations Review - Summer School 2019

Quiz by Cori Colby

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28 questions
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  • Q1
    (1, 1)
    When Annie does 5 push-ups and 10 sit-ups, it takes a total of 15 seconds. In comparison, she needs 25 seconds to do 9 push-ups and 16 sit-ups. How long does it take Annie to do each kind of exercise? Let x = amount of time it takes to do a push-up and y = amount of time it takes to do a sit-up.
    30s
  • Q2
    (63, 138)
    An event planner routinely orders ice sculptures for the corporate events she plans. For an executive dinner in Hillsboro, she ordered 1 large ice sculpture, which cost $138. Then, for a release party in Wildgrove, she ordered 1 small ice sculpture and 3 large ice sculptures, which cost a total of $477. How much does each ice sculpture cost? Let x = the cost of a small ice sculpture and y = the cost of a large ice sculpture.
    30s
  • Q3
    (13,25)
    Manchester Nail Salon is having a special this month on services. Over the weekend, they performed 19 manicures and 2 pedicures, bringing in a total of $297 in receipts. So far this week, they have administered 22 manicures and 2 pedicures, with receipts totaling $336. How much does the salon charge for each service? Let x = the cost of a manicure and y = the cost of a pedicure.
    30s
  • Q4
    (2,2)
    What is the solution to the system?
    30s
  • Q5
    (4,-4)
    What is the solution to the system?
    30s
  • Q6
    (-1,-1)
    What is the solution to the system?
    30s
  • Q7
    See image
    -x + y = 5
    30s
  • Q8
    (5,10)
    3x + y = 25
    30s
  • Q9
    See image
    -6x + y = - 11
    30s
  • Q10
    (2,1)
    -2x - 3y = -7
    30s
  • Q11
    See image
    2x - 3y = -1
    30s
  • Q12
    (4,3)
    -x + y = - 1
    30s
  • Q13
    See image
    -5x + y = - 7
    30s
  • Q14
    (2,3)
    -3x - 2y = -12
    30s
  • Q15
    See image
    y = -x +42
    30s

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