Mathematics

Home > Mathematics > General Mathematics > HSC Course > Algebraic Modelling > AM4: Modelling linear and non-linear relationships > Quick quiz: A sample of multiple choice questions for this topic.

AM4

  1. The equation of the line AB is:
     
    Line A=
     
    • y = 5x + 10
    • y = x/5 - 2
    • y - 5x + 98 = 0
    answer

     
  2. Which graph has the correct features for the equation y = x2 – 4x
     

    • graph 1
       

    • graph 2
       

    • graph 3
       
    answer

     
  3. Which table of values represents y = 2x3 ?
     

    • x 0 1 2 3
      y 0 8 64 216

    • x 0 1 2 3
      y 0 2 16 54

    • x 0 1 2 3
      y 0 1 8 27
    answer

     
  4. This graph has the equation y = kx3. Find the value of k.
     
    graph y = kx-cubed
     
    • k = 2
    • k = 4
    • k = 8
    answer

     
  5. Which graph is an exponential curve?
     

    • graph 1
       

    • graph 2
       

    • graph 3
       
    answer

     
  6. Which is the graph of y = 2/x?
     

    • graph point=
       

    • graph point=
       

    • graph point=
       
    answer

     
  7. "The stopping distance (D metres) of a car is proportional to the square of its speed (s km/hr)."
    A mathematical expression to model this statement is:
     

    • expression 1

    • expression 2

    • expression 3
    answer

     
  8. If
    mathematical expression
    and A = 45 when t="3," find the value of A when t="7."
     
    • 35
    • 245
    • 105
    answer

     
  9. If
    mathematical expression
    This means that:
     
    • M is inversely proportional to the square of D.
    • M is proportional to the square of D.
    • D is inversely proportional to the square of M.
    answer

     
  10. If
    mathematical expression
    and W = 8 when P = 2, find the value of W when P = 10.
     
    • W = 40
    • W = 1.6
    • W = 160
    answer

     
  11. Which if the following equations could represent the equation of the graph below?
     
    graph with point (1,1.5)
     
    • y = 2x2
    • y = 6(1/4)x
    • y = 3/x
    answer

     
  12. If
    mathematical expression
    and W = 8 when P = 2, find the value of W when P = 10.
     

    • graph 1
       

    • graph 2
       

    • graph 3
       
    answer

     

Answers

  1. y = x/5 - 2
     

  2. graph 3
     

     

  3. x 0 1 2 3
    y 0 2 16 54

     
  4. K = 8
     
  5. The group is divided into smaller groups using some rule eg age. There is then a selection made from each group.
    graph 3
     

     

  6. graph point=
     

     

  7. expression 3

     
  8. 245
     
  9. M is inversely proportional to the square of D.
     
  10. W = 1.6
     
  11. W = y = 6(1/4)x
     

  12. graph 1
     

     


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