Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Which parabola opens upward?
a. | y = 2x – 4x2 – 5 | b. | y = 2 +
4x – 5x2 | c. | y = 4 – 2x2
–5x | d. | y = –5x + 4x2 +
2 |
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2.
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What are the x- and y-intercepts for the function
f(x) =x2 –2x + 3?
a. | no x-intercepts, y = 3 | b. | x = 0, x = 3, y =
2 | c. | x = –1, x = 3, y = 3 | d. | x = –3,
x = 1, y = 3 |
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3.
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Which set of ordered pairs satisfy the function f(x) =
–2x2 + 2.5x + 1?
a. | (–3, –24.5), (1, 1.5), (3, –8.5) | b. | (0, 2), (2,
–2), (4, –21) | c. | (–2, –12), (0, 1), (4,
–20) | d. | (–4, –41), (0, 1), (3, –9.5)
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4.
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Which set of ordered pairs satisfy the function f(x) =
–x2 + 4?
a. | (–2, 0), (1, 3), (6, 30) | b. | (–6, –30), (–4,
–12), (2, 0) | c. | (–5, –21), (–1, 3),
(4, –12) | d. | (–7, –42), (–5, –21), (0,
4) |
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5.
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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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6.
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Rewrite 2m2 – 10m =
–4m2 + 4m – 8 in standard form. Then solve the equation in
standard form by graphing.
a. | m = 1, m = 1.333 | b. | m = 1, m = 4 | c. | m = 4, m
= 1 | d. | m = 4, m = 0.333 |
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7.
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What is the correct quadratic function for this parabola?  a. | f(x) = (x – 1)(x + 2) | b. | f(x) =
(x + 1)(x + 2) | c. | f(x) = (1 –
x)(x + 2) | d. | f(x) = (x –
1)(x – 2) |
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8.
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What is the correct quadratic function for this parabola?  a. | f(x) = (x + 2.5)(x + 3) | b. | f(x) =
–(x + 2)(x + 3.5) | c. | f(x) = (x + 2)(x +
3) | d. | f(x) = (x + 2.5)(x + 3.5) |
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9.
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Which set of data is correct for the quadratic relation f( x) =
( x + 1)( x – 2)? | | x-intercepts | y-intercept | Axis of Symmetry | Vertex | A. | (1, 0), (–2, 0) | y =
2 | x = –0.5 | (–0.5, –1.25) | B. | (–1, 0), (2, 0) | y =
–2 | x = 0.5 | (0.5, –2.25) | C. | (–1, 0), (–2, 0) | y = 2 | x =
–1.5 | (–1.5, 1.75) | D. | (1, 0), (2, 0) | y =
2 | x = 1.5 | (1.5, ––1.25) | | | | | |
a. | Set A. | b. | Set C. | c. | Set
D. | d. | Set B. |
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10.
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Which relation is the factored form of f(x) =
–3x2 – 3x + 9?
a. | f(x) = 3(x + 2)(1 – x) | b. | f(x)
= –3(x + 2)(x + 1) | c. | f(x) = (3x –
3)2 | d. | f(x) = –3(x +
3)2 |
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11.
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Solve 10 + 5x2 + 18x =
–4x2 – 18x – 10 by factoring.
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12.
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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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13.
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Solve 2y2 – 3y + 1 = 0 using the quadratic
formula.
a. | y = 1, y = – | b. | y = 1, y
= – | c. | y = –1, y =  | d. | y = 1, y =  |
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14.
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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 equal to the area of the rim. If the outer radius of the planter is 6.2 m, what is the radius
of the soil?
a. | 3.8 m | b. | 4.4 m | c. | 3.4
m | d. | 1.8 m |
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15.
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A hockey arena sells premium tickets for $54. At this price, the arena will sell
150 premium tickets every game. The owners know from past years that they will sell 4 more premium
tickets per game for each price decrease of $1. What price would let the owners earn the same amount
of money they earn now?
a. | $70.50 | b. | $65.00 | c. | $62.25 | d. | $73.75 |
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Short Answer
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16.
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Solve x2 + 7x + 10 = 0 by graphing the
corresponding function and determining the zeros.
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17.
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The graph of a quadratic function has x-intercepts 4 and 3. Write a
quadratic equation that has these roots.
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18.
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The sum of two numbers is 37. Their product is 312. What are the numbers?
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Problem
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19.
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Leo solved this equation: 12 w2 + 60 w + 75 = 0.
His solutions were w = –  and w =  . a) Factor and solve the
equation. b) What error do you think Leo made?
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20.
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A railway bridge over a ravine is supported by arches. The function that
describes the arches is h(x) = –0.03x2 + 2.2056x, where
h(x) is the height, in metres, of the arch above the ravine at any distance, x,
in metres, from one end of the bridge.
a) Determine the distance between the bases of the
arch.
b) Determine the maximum height of the arch, to the nearest tenth of a metre.
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21.
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Ty is an artist. He wants the matte around each of his square photographs to be
6.5 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? Use a labelled diagram to
solve the problem.
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