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Mathematics

9th

grade

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Systems of Linear Equations Word Problems

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  • 1. Multiple Choice
    15 minutes
    1 pt

    Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80, and some order steak for $17. If the total bill was $91, which system best represents the situation?

    x + y = 6

    14.80x + 17y = 91

    x + y = 91

    14.80x + 17y = 6

    x + y = 6

    14.80y + 17x = 91

    x + y = 91

    14.80x+ 17y = 6

  • 2. Multiple Choice
    15 minutes
    1 pt
    Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Solve the system:
    x + y = 21
    6x + 4y = 104
    (10, 11)
    (12, 9)
    (11, 10)
    (9, 12)
  • 3. Multiple Choice
    15 minutes
    1 pt
    David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?
    (35, 52)
    (18, 69)
    ( 52, 35) 
    (61, 26)
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