Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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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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2.
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Rewrite –8p2 – 4p =
–23p2 + 4p – 1 in standard form. Then solve the equation in
standard form by graphing.
a. | p = –0.333, p = 0.2 | b. | p = 3, p
= 5 | c. | p = 0.333, p = 0.2 | d. | p = 0.333, p =
5 |
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3.
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Which set of data is correct for the quadratic relation f( x) =
–6( x – 18) 2 – 30? | | Direction parabola
opens | Vertex | Axis of Symmetry | | A. | upward | (30, –18) | x = 30 | | B. | downward | (6, 30) | x =
–18 | | C. | upward | (–6,
–18) | x = –30 | | D. | downward | (18, –30) | x = 18 | | | | |
a. | Set B. | b. | Set C. | c. | Set
D. | d. | Set A. |
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4.
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Solve x2 + 6x + 5 = 0 using the quadratic formula.
a. | x = 5, x = 1 | b. | x = –5, x =
–1 | c. | x = 5, x = –1 | d. | x = –5, x =
1 |
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5.
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At 7:50 a.m., a canoeist leaves a dock and travels due west at 4 km/h. Two hours
later, another canoeist leaves the same harbour and travels due south at 6 km/h. At what time of day,
to the nearest minute, will the two canoeists be 25 km apart?
a. | 11.15 p.m. | b. | 10.48 p.m. | c. | 12.34
p.m. | d. | 11.53 p.m. |
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6.
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Which set of data is correct for the quadratic relation f( x) =
–3( x + 2)( x – 3)? | | x-intercepts | y-intercept | Axis of Symmetry | Vertex | A. | (2, 0), (3, 0) | y =
–18 | x = 2.5 | (2.5, 6.75) | B. | (–2, 0), (3, 0) | y =
–18 | x = –0.5 | (–0.5, 15.75) | C. | (2, 0), (–3, 0) | y =
18 | x = –0.5 | (–0.5, 15.75) | D. | (–2, 0), (3, 0) | y =
18 | x = 0.5 | (0.5, 18.75) | | | | | |
a. | Set D. | b. | Set B. | c. | Set
C. | d. | Set A. |
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7.
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Which set of data is correct for the quadratic relation f( x) =
( x + 2)( x + 4)? | | x-intercepts | y-intercept | Axis of Symmetry | Vertex | A. | (2, 0), (4, 0) | y =
8 | x = 4 | (4, 48) | B. | (–2, 0), (–4, 0) | y = –8 | x =
–4 | (–4, 0) | C. | (–2, 0), (–4, 0) | y = 8 | x =
–3 | (–3, –1) | D. | (2, 0), (4, 0) | y =
8 | x = 3 | (3, 35) | | | | | |
a. | Set A. | b. | Set B. | c. | Set
C. | d. | Set D. |
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8.
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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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9.
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Solve 15z2 – 6 = z by factoring.
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10.
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How many zeros does f(x) = a(x –
2)2 + 5 have if a > 0?
a. | 2 | b. | 0 | c. | 1 | d. | It is impossible to
determine. |
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11.
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How many zeros does f(x) = a(x –
5)2 have if a < 0?
a. | 0 | b. | It is impossible to
determine. | c. | 2 | d. | 1 |
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12.
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Which quadratic function represents this parabola? 
a. | f(x) = –4(x + 1.5)2 +
2 | b. | f(x) = 4(x – 1.5)2 –
2 | c. | f(x) = 4(x + 1.5)2 –
2 | d. | f(x) = 4(x + 1.5)2 +
2 |
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13.
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Solve 2y2 + 3y = 5y2 – 1
using the quadratic formula.
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14.
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Solve y2 + 5y = –10 –
2y2 – 6y using the quadratic formula.
a. | x = – , x = 2 | b. | x =  ,
x = 2 | c. | x =  , x = –2 | d. | x =
– , x = –2 |
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15.
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Tranh dives off a 9 m platform. He reaches a maximum height of 9.2 m after 0.26
s. How long does it take him to reach the water?
a. | 2.04 s | b. | 2.03 s | c. | 2.02
s | d. | 2.01 s |
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Short Answer
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16.
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Use the graph to determine the equation of the parabola. 
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17.
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Solve 4x2 + 15x + 9 = 0 by factoring. Verify
your solution.
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18.
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Solve  . State the solution as exact values.
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Problem
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19.
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Solve 0.2x2 + 2.2x + 1.5 = 0.
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20.
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a) Sketch the graph of y = (x – 4)(x –
s), for s = 3.
b) Describe how each graph would be different from your
sketch if the value of s was 2, 1, 0, –1, –2, and –3.
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21.
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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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