Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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What are the roots of the quadratic function  ? A | 1 and 8 | C | –2.4 | B | 3.675 | D | –1 and
–8 |
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2.
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Factor  completely.
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3.
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Determine the roots of the quadratic equation  . A | x = 60 and x = –28 | C | x =  and x =
 | B | x = –15 and x = 7 | D | x = 15 and x =
–7 |
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4.
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Solve  .
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5.
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A rectangle has dimensions  and  , where x is in
centimetres. If the area of the rectangle is 95 cm 2, what is the value of x, to the
nearest tenth of a centimetre? 
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6.
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Which is the vertex form of  ? Round coefficients to the nearest
hundredth if necessary.
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7.
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The roots, to the nearest hundredth, of  are A | 13.42 and –0.09 | C | 6.71 and –0.04 | B | 26.84 and –0.17 | D | –13.42 and
0.09 |
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8.
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A rectangle with an area of  is x centimetres wide and
( x + 5) centimetres long. To the nearest tenth of a centimetre, the width and length
are A | 11.6 cm and 11.6 cm | C | –9.4 cm and –14.4 cm | B | 9.4 cm and 14.4
cm | D | –13.4 cm and 36.6
cm |
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9.
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The x-intercepts, to the nearest hundredth, of  are A | 0.18 and –0.48 | C | 0.36 and –0.96 | B | 0.73 and –1.92 | D | 0.66 and
–0.66 |
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10.
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For a science experiment, a projectile is launched. Its path is given by  ,
where h is the height of the projectile above the ground and d is the horizontal
distance of the projectile from the launch pad, both in metres. How far away from the launch pad is
the projectile when it begins to fall, to the nearest tenth of a metre? A | 2023.7 m | C | 44.9 m | B | 0.1 m | D | 22.4 m |
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Short Answer
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1.
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Graph the quadratic function  . Use the graph to determine the zeros
of the function if they exist.
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2.
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Use the quadratic formula to find the roots of the equation x2
+ 4x – 21 = 0. Express your answers as exact roots.
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3.
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Find the x-intercepts of the quadratic function y =
3x2 – 10x + 6. Express your answers as exact values.
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Problem
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1.
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A rectangle, 4 cm longer than it is wide, has a diagonal 20 cm long. What are
the dimensions of the rectangle? 
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2.
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The Parthenon, in Athens, is a temple to the Greek goddess Athena, and was built
in about 447 B.C.E. It has a rectangular base with a perimeter of approximately 202 m and an area of
2170 m2. Find the dimensions of the base, to the nearest metre.
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3.
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A car travelling at v kilometres per hour will need a stopping distance,
d, in metres, without skidding that can be modelled by the function  . What is the
speed, to the nearest kilometre per hour, at which a car can be travelling to be able to stop in 75
m?
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