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

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1. The equation of the line AB is:

Line A=(20,2) B=(40,6)

y = 5x + 10

y = x/5 - 2

y - 5x + 98 = 0

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

graph 1

graph 2

graph 3

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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

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4. This graph has the equation y = kx3. Find the value of k.

graph y = kx-cubed

k = 2
 k = 4
 k = 8

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5. Which graph is an exponential curve?

graph 1

graph 2

graph 3

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

graph point=(2,1)

graph point=(2,-1)

graph point=(2,4)

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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

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8.

If

mathematical expression

and A = 45 when t=3, find the value of A when t=7.
35
 245
 105

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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.

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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

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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

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12. Which graph would best represent the amount of fuel remaining in a car’s tank during a journey?

graph 1

graph 2

graph 3

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