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Test - Modeling and Solving Equations

Quiz by Teresa Duppstadt

High School
Algebraic Connections
Alabama Course of Study Standards

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20 questions
Show answers
  • Q1
    Healthpoint gym charges a $20 sign-up fee and $60 per month. Anytime gym charges a $100 sigh-up fee and $20 a month. Create a model to show the number of months it will take for the cost to be the same. Use m for monthly.
    20m + 60 = 100m + 20
    20 + 60m = 100 + 20m
    20 - 60m= 100 - 20m
    20m - 60 = 100m - 20
    300s
  • Q2
    A toy company sells teddy bears. They spend $152 for factory expenses plus $8 per teddy bear. They sell the bears for $12 each. How many bears must they sell for the expenses to equal their income?
    76
    -76
    -38
    38
    300s
  • Q3
    Eleven less than seven times a number is five more than 6 times the number
    11 - 7x = 5 + 6x
    7x + 11 = 5 - 6x
    7x - 11 = 5 + 6x
    11 + 7x = 6x - 5
    120s
  • Q4
    You and your brother are each saving money for a motorcycle. You have already saved $300 and plan to deposit $20 each month. Your brother has $60 in his account and will deposit $100 each month. Model and solve to find how many months it sill take for you to both have saved the same amount of money.
    300 - 20m = 60 - 100m, m=-3
    300 + 20m = 60 + 100m, m = 4
    300 + 20m = 60 + 100m, m = 3
    300 - 20m = 60 - 100m, m=-4
    300s
  • Q5
    Jessie charges 3 dollars per hour plus a $20 fee for babysitting. Joey charges 5 dollars per hour with a $10 gas charge to mow yards. When, in hours, will they earn the same amount of money?
    3 hours
    4 hours
    6 hours
    5 hours
    300s
  • Q6
    Pandora charges a $10 sign-up fee and $2 per month. Amazon charges a $100 sign-up fee and $0 per month. Develop a model to show when the two would cost the same.
    2m - 10 = 100
    100 - 2m = 10
    10 + 2m = 100
    10 - 2m = 100
    300s
  • Q7
    You want a jacket that is regularly priced $52.00, but the sign says it is 35% off. How much will you pay for the Jacket once it has been marked down?
    $52.00
    $70.20
    $18.20
    $33.80
    300s
  • Q8
    3x + 8 = 2x - 17
    25
    -25
    9
    -9
    120s
  • Q9
    What is 45% of 60
    29
    33
    27
    45
    120s
  • Q10
    6x + 7 = 13 + 7x
    6
    -6
    20
    -20
    120s
  • Q11
    -6x + 20 = -2x + 28
    -6
    2
    6
    -2
    120s
  • Q12
    60 is what % of 120
    40%
    30%
    60%
    50%
    120s
  • Q13
    -8 - x = -4x + 1
    -5
    3
    -3
    5
    120s
  • Q14
    2x - 1 = x + 11
    10
    -12
    12
    -10
    120s
  • Q15
    5 + 3x = 2x + 6
    11
    1/5
    2 1/5
    1
    120s

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