Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Which set of data is correct for this graph?  | Set | Axis of Symmetry | Vertex | Domain | Range | A. | x =
–2 | (–2, 6) | x Î R | y Î R | B. | x = –6 | (–6,
–2) | –8 £ x
£ 4 | –8 £ y | C. | x =
–2 | (–2, –6) | x Î R | –6 £ y | D. | x = 2 | (2, 6) | –6 £ x £ 2 | –6 £ y | | | | | |
a. | Set A. | b. | Set B. | c. | Set
D. | d. | Set C. |
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2.
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Which set of data is correct for this graph?  | | Axis of Symmetry | Vertex | Domain | Range | A. | x =
3 | (3, 2) | x Î R | 2 £ y | B. | x =
3 | (2, 3) | x Î R | y Î R | C. | x =
2 | (2, 3) | –1 £ x £ 7 | 2 £ y | D. | x = 3 | (3, 2) | –2 £ x £ 8 | 0 £ y | | | | | |
a. | Set A. | b. | Set C. | c. | Set
D. | d. | Set B. |
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3.
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The points (–2, 4) and (1, 4) are located on the same parabola. What is
the equation for the axis of symmetry for this parabola?
a. | x = –0.5 | b. | x = –1 | c. | x =
0.5 | d. | x = –1.5 |
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4.
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The points (–5, 26) and (3, 26) are located on the same parabola. What is
the equation for the axis of symmetry for this parabola?
a. | x = –2 | b. | x = 4 | c. | x =
–1 | d. | x = 0 |
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5.
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Solve 3x2 – 3x = –18 by graphing the
expressions on both sides of the equation.
a. | x = 3, x = –2 | b. | x = –3, x =
2 | c. | x = –3, x = –2 | d. | x = 3, x
= 2 |
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6.
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What is the correct quadratic function for this parabola?  a. | f(x) = (x – 1)(x + 3) | b. |
f(x) = (x + 1)(x + 3) | c. | f(x) = –(x +
1)(x – 3) | d. | f(x) = (1 –
x)(3 – x) |
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7.
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Which relation is the factored form of f(x) = x2
+ 2x – 3?
a. | f(x) = x(x + 2) + 3 | b. | f(x) =
(x – 2)2 | c. | f(x) = (x +
3)(x – 1) | d. | f(x) = (x –
3)(x + 1) |
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8.
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Which quadratic function represents this parabola? 
a. | f(x) = –0.5(x + 1)2 + 6 | b. | f(x) =
0.5(x + 1)2 + 6 | c. | f(x) = 0.5(x –
1)2 – 6 | d. | f(x) = –0.5(x
– 1)2 + 6 |
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9.
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A company manufactures cylindrical planters. A town council wants planters with
a wide rim for people to sit on. The company suggests that the area of the soil in the planter be
about half the area of the rim. If the outer radius of the planter is 9.0 m, what is the radius of
the soil?
a. | 4.8 m | b. | 6.2 m | c. | 5.2
m | d. | 5.7 m |
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10.
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An 8 kg bag of potatoes costs $9.15. What is the unit rate?
a. | $9.15/8 kg | b. | $0$0.87/kg | c. | $1.14/kg | d. | $0.99/kg |
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11.
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Maureen ran 15 km in 1.25 h. What is her running speed?
a. | 12 km/h | b. | 15 km/h | c. | 120
m/min | d. | 200 m/s |
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12.
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The graph shows how a cyclist travels over time.
Over which interval
is the cyclist travelling at 10 km/h?
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13.
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It costs $2.25/lb, plus a loading fee of $30, to
send freight by airplane around the Yukon and the Northwest Territories. Which equation determines
the amount of fresh fruit, A, you can ship from Vancouver to Whitehorse for $81, in
pounds?
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14.
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Which scale factor(s) will produce an image that is larger than the
original? I. 0.86 II. 116% III.  a. | I only | b. | I and II only | c. | II and III
only | d. | I, II, and III |
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15.
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The original pushpin for these scale diagrams was 24 mm long.
Which diagram
was drawn using a scale factor of 3.5?
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16.
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A photograph is 6 cm by 11 cm. A copy is made
using a scale factor of 140%. What are the dimensions of the copy?
a. | 4.3 cm by 7.9 cm | b. | 8.4 cm by 15.4 cm | c. | 24 cm by 44
cm | d. | 43 mm by 79 cm |
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17.
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A Ferris wheel is 57.85 m tall and has a diameter
of 54.4 m.
What are the dimensions of a scale model built using a scale of
1 : 95?
a. | height 64.22 cm, diameter 60.44 cm | b. | height 57.26 cm, diameter 53.42
cm | c. | height 60.89 cm, diameter 64.22 cm | d. | height 60.89 cm, diameter 57.26
cm |
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18.
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Cylinder A has a radius of 5 mm and a height of 30 mm.
Cylinder B has a
radius of 20 mm and a height of 120 mm.
These two cylinders are similar.
By what factor is the
volume of cylinder B greater than the volume of cylinder A?
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19.
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A cylindrical oil tank has a surface area of 1800 m 2. A similar
oil tank has dimensions that are reduced by a scale factor of  . What is the surface
area of the smaller tank? a. | 800 m2 | b. | 630 m2 | c. | 1200
m2 | d. | 533 m2 |
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20.
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A lacrosse ball has a diameter of 6.4 cm.
A basketball has a diameter of about 23 cm.
The volume of a lacrosse ball is what percent
of the volume of a basketball?
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Short Answer
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21.
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Determine the roots of the corresponding quadratic equation for the
graph. 
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22.
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Edgar is a photographer. He wants the matte around each of his square
photographs to be
3.5 cm wide. He also wants the area of the matte to be twice the area of each
photograph. What should the dimensions of each photograph be, to the nearest tenth of a
centimetre?
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23.
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Wayne and Steve work at a photocopy shop.
They have an order to print and
bind 500 copies of a business report.
Steve finished 125 reports in 8.5 h and Wayne finished the
remaining 375 reports in 22 h. Who worked at a faster rate?
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24.
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The coffee mug used for this scale diagram was 9.0 cm tall. Measure to
determine what scale factor was used for this diagram.
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25.
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A Ferris wheel is 57.8 m tall and has a diameter of 54.4 m.
The circus wants
to sell scale models of the Ferris wheel to tourists.
They would like the scale model to have a
diameter of 43.5 cm.
What scale factor should they use?
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Problem
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26.
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A fire hose placed on the ground sprays water in a path modelled by the
quadratic function f(x) = –0.18x2 + 2x, where x
is the horizontal distance and f(x) the height of the sprayed water, both in
metres. How high and how far did the hose spray the water?
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27.
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Determine the equation for this quadratic function. Write the equation in
standard form. Show all your steps. 
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28.
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A charity sells tickets to a fundraising raffle. The profit function for the
raffle is
p(t) = –20t2 + 450t – 300, where
p(t) is the profit and t is the price of each ticket, both in dollars.
a)
What ticket price will result in the charity breaking even on the raffle?
b) What
ticket price will raise the most money for the charity?
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29.
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Quyen and Adrianne used different methods to solve 12.1x2 +
15.2x + 8.9 = 0.
a) Could one of these students have used factoring?
Explain.
b) Solve the equation using the method of your choice.
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30.
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The floor plan for a greenhouse is shown below. The area of the actual floor
is 300 m 2.
a) Determine the actual area that each square on the floor plan
represents. b) Determine the actual distance that 5 mm on the floor plan
represents. c) Determine the scale of the plan. d) Determine the scale factor
that was used to draw the floor plan.
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