Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Which description of a graph appears to represent a quadratic
relation?
a. | a line straight up and down | b. | an ellipse | c. | a parabola opening
up | d. | a parabola opening to the right |
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2.
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Solve x2 – 5x = –4 by graphing the
expressions on both sides of the equation.
a. | x = –4, x = 1 | b. | x = –4, x =
–1 | c. | x = 4, x = –1 | d. | x = 4, x =
1 |
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3.
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Rewrite x2 + 2x = –3x2
+ 2x + 36 in standard form. Then solve the equation in standard form by graphing.
a. | x = 3, x = –3 | b. | x = 6, x =
–6 | c. | x = 3, x = 3 | d. | x = 6, x =
6 |
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4.
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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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5.
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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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6.
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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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7.
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Which set of data is correct for the quadratic relation f( x) =
–2( x – 1)( x – 5)?
| | x-intercepts | y-intercept | Axis of Symmetry | Vertex | A. | (1, 0), (5, 0) | y =
–10 | x = 3 | (3, 8) | B. | (–1, 0), (–5, 0) | y = 10 | x =
–3 | (–3, 64) | C. | (–1, 0), (–5, 0) | y = –10 | x =
3 | (3, –8) | D. | (1, 0), (5, 0) | y =
10 | x = –3 | (3, 64) | | | | | |
a. | Set B. | b. | Set C. | c. | Set
D. | d. | Set A. |
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8.
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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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9.
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Solve 10x2 + 30x = –2x2
– 30x – 75 by factoring.
a. | x = – , x = 2 | b. | x =
– | c. | x = – , x =  | d. | x =
– |
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10.
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Which set of data is correct for the quadratic relation f( x) =
–2( x – 12) 2 + 15? | | Direction parabola
opens | Vertex | Axis of Symmetry | | A. | downward | (15, –12) | x = 15 | | B. | downward | (12, 15) | x = 12 | | C. | upward | (–12, 15) | x =
–12 | | D. | upward | (15,
12) | x = 15 | | | | |
a. | Set D. | b. | Set B. | c. | Set
A. | d. | Set C. |
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11.
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Which function has a minimum value?
a. | f(x) = –3.2(x – 4.2)2 +
1.6 | b. | f(x) = –3(x – 7.5)2 –
2.6 | c. | f(x) = 0.5(x – 2.2)2 + 6.1 | d. | f(x) =
–2(x + 4)2 + 6 |
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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 9w2 + 6w + 1 = 0 using the quadratic
formula.
a. | w =  | b. | w = – | c. | w = 0, w
= – | d. | w = 0, w =  |
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14.
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Solve 2z2 = 3 – 8z using the quadratic
formula.
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15.
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Solve –h2 + 17h + 1 =
–5h2 + h – 16 using the quadratic formula.
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Short Answer
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16.
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Solve 4x2 + 15x + 9 = 0 by factoring. Verify
your solution.
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17.
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Solve 2y2 + 8y + 2 = 0. State the solution as
exact values.
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18.
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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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Problem
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19.
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The height, in metres, of a fireworks rocket is modelled by the function
h(t) = –4.9t2 + 20t + 4, where t is
the time in seconds after the rocket is fired.
a) Determine the domain and range of the
function to the nearest tenth.
b) Use technology to graph the function.
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20.
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Identify and correct any errors in the following solution:  
or 
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21.
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A comedy club sells tickets for $20. At this price, the club sells 160 tickets
every show. The owners know from past years that they will sell 5 fewer tickets per show for each
price increase of $1.
a) What function, E(x), can be used to model the
owners’ earnings, if x represents the price increase
in dollars?
b) What should the owners charge per ticket to earn the maximum amount of
money?
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