Systems Of Equations

10 Questions

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Equation Quizzes & Trivia

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Questions and Answers
  • 1. 
    Solve the linear system: 1. . Ace Rent a Car charges a flat fee of $15 and $0.24 a mile for their cars. Acme Rent a Car charges a flat fee of $23 and $0.12 a mile for their cars. Use the following model to find out after how many miles Ace Rent a Car becomes more expensive than Acme Rent a Car.
    • A. 

      After 77 miles

    • B. 

      After 67 miles

    • C. 

      After 78 miles

  • 2. 
     Tickets to a local movie were sold at $4.00 for adults and $2.50 for students. If 420 tickets were sold for a total of $1155.00, how many student tickets were sold?
    • A. 

      350

    • B. 

      70

    • C. 

      85

  • 3. 
    Tickets to a local movie were sold at $5.00 for adults and $3.50 for students. If 290 tickets were sold for a total of $1225.00, how many adult tickets were sold?
    • A. 

      155

    • B. 

      150

    • C. 

      140

  • 4. 
    Mr. Simon invests a total of $11,375 in two savings accounts. One account yields 9% simple interest and the other 9.5% simple interest. He would like to find the amount placed in each account if a total of $1064.44 in interest is received after one year. Which system of linear equations below expresses this problem?
    • A. 

      X+y=11375 .09x+.095y=1064.44

    • B. 

      X+y=1064.44 .09x+.095y=11375

    • C. 

      X+y=1098.44 .09y+.09=1064.44

  • 5. 
    Mrs. Garcia invests a total of $12,647 in two savings accounts. One account yields 7.5% simple interest and the other 8.5% simple interest. She would like to find the amount placed in each account if a total of $988.88 in interest is received after one year. Which system of linear equations below expresses this problem?
    • A. 

      X+y=988.88 .085x+.075y=12647

    • B. 

      X+y=12647 .075x+.085y=988.88

    • C. 

      X+y=988.88 .75+.85y=12647

  • 6. 
     Mr. Frankel bought 5 tickets to a puppet show and spent $27. He bought a combination of child tickets for $3 each and adult tickets for $7 each. Which system of equations below will determine the number of adult tickets, a, and the number of child tickets, c, he bought?
    • A. 

      7a+3c=27 a+c=5

    • B. 

      3a+7c=27 a+c=5

    • C. 

      3a+5c=27 a+c=7

  • 7. 
    Mr. Frankel bought 6 tickets to a puppet show and spent $26. He bought a combination of child tickets for $3 each and adult tickets for $5 each. Which system of equations below will determine the number of adult tickets, a, and the number of child tickets, c, he bought?  
    • A. 

      63c+2a=6 a+b=5

    • B. 

      3a+5c=26 a+c=6

    • C. 

      5a+3c=26 a+c=6

  • 8. 
    Solve the linear system: 4x+4y=-1 y=-x
    • A. 

      No solution

    • B. 

      (-5,5)

    • C. 

      (1,4)

  • 9. 
    Solve the linear system 3x+3y=5 y=-x
    • A. 

      (3,5)

    • B. 

      (-5,3)

    • C. 

      No solution

  • 10. 
    Solve the linear system 4x+y=-11 x-y=1
    • A. 

      (19,-30)

    • B. 

      (-2,-3)

    • C. 

      No solution