Section 4.5 - Solving A Linear System Graphically

10 Questions | Total Attempts: 92

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Section 4.5 - Solving A Linear System Graphically - Quiz

Please answer the following questions.


Questions and Answers
  • 1. 
    Determine the point of intersection of the lines y = 3x + 5  and  2x + y = 10
    • A. 

      (3, 2)

    • B. 

      (-5, 20)

    • C. 

      (0, 5)

    • D. 

      (1, 8)

  • 2. 
    The school store charges $10 per shirt.  The store paid the supplier $3 per shirt plus a one-tome set up fee of $25.  Write a system of equations that represents this situation.   
    • A. 

      Y = 10x y = 3x + 25

    • B. 

      Y = 10 y = 3x + 25

    • C. 

      Y = 10x y = 3x

    • D. 

      Y = 7x + 25 y = 5x

  • 3. 
    Determine the point of intersection of the lines y = 4 and x = 3
    • A. 

      Infinitely many

    • B. 

      None

    • C. 

      (3, 4)

    • D. 

      (4, 3)

  • 4. 
    What type of lines will have no points of intersection?
    • A. 

      Parallel

    • B. 

      Perpendicular

    • C. 

      Intersecting

    • D. 

      Coinciding

  • 5. 
    Consider the relation x + 2y = 6.  Which of the following relations will intersect this relation at (2, 2)?
    • A. 

      6x + y = 2

    • B. 

      2x + y = 4

    • C. 

      X + y = 4

    • D. 

      X + y = 2

  • 6. 
    Find the point of intersection for the lines 3x - 2y = 5 and 6x - 4y = 6
    • A. 

      None

    • B. 

      Infinitely many

    • C. 

      (0, 0)

    • D. 

      (0, -4)

  • 7. 
    A-1 plumbing charges $75 plus $50/h.  Plumbing Masters charges $100 plus $25/h.  At what point is the charge the same for the two companies?
    • A. 

      2h

    • B. 

      1h

    • C. 

      1/2 h

    • D. 

      3h

  • 8. 
    Cheap Cell Phones charges no flat fee and $0.25 per minute.  Basic Cell Phones charges a flat fee of $15 plus $0.10 per minute.  What advice would you give someone who was deciding which company to choose?
    • A. 

      Basic Cell Phones is always more expensive, so choose Cheap Cell Phones

    • B. 

      Both plans cost the same, so wither choice is good

    • C. 

      If the person is going to use less than 100 min, choose Basic Cell Phones. Otherwise choose Cheap Cell Phones

    • D. 

      If the person is going to use less than 100 min, choose Cheap Cell Phones. Otherwise choose Basic Cell Phones

  • 9. 
    Determine the point of intersection of the lines x + y = 8 and y = x + 4
    • A. 

      None

    • B. 

      Infinitely many

    • C. 

      (2, 6)

    • D. 

      (4, 4)

  • 10. 
    Andrew is selling pop at a yard sale.  The pop cost him $0.25 each plus $5.00 to rent a table and he is selling them for $0.50 each.  How many cans does he need to sell to break even?
    • A. 

      20 cans

    • B. 

      10 cans

    • C. 

      5 cans

    • D. 

      1 can

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