Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Which relation is a function?
a. | {(–3, –2), (–1, 3), (0, –2), (3, 4)} | c. | {(–7,
–7), (–2, 5), (–1, 6), (–2, –5)} | b. | {(0, 1), (3, 2), (5,
–3), (0, 2)} | d. | {(–4, –7), (–9, 5), (4, –2), (–9,
0)} |
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2.
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Which graph is not a function?
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3.
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Evaluate  for  .
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4.
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What are the domain and range of the function  ?
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5.
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What are the domain and range of the relation that contains the points
{(–16, –10), (–14, –8), (–11, –3), (–7, 4), (–1,
–8)}?
a. | Domain = {–16, –14, –11, –10, –8, –7, –3,
–1, 4}
Range = {–16, –14, –11, –10, –8, –7, –3,
–1, 4} | b. | Domain = {–10, –8, –3, 4}
Range = {–16, –14,
–11, –7, –1} | c. | Domain = {–16, –14, –11,
–7, –1}
Range = {–10, –8, –3, 4} | d. | Domain = { }
Range = { } |
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6.
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What are the domain and range of the function  ?
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7.
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What are the domain and range of the function  ?
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8.
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Which of the following is NOT a transformation that can be used to graph the
function  from the parent function? a. | Vertical translation 2 units up | b. | Horizontal compression by a factor of  | c. | Reflection in the x-axis | d. | Horizontal translation 4 units to the
right |
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9.
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Which of the following is the graph of the function  ? (The parent function
is dotted.)
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10.
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Simplify. 
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11.
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A rectangle has length (3x + 5) cm and width (2x – 1) cm.
What is the area of the rectangle?
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12.
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Expand and simplify. 
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13.
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Which of the following are factors for the polynomial  ? a. | (2x + 6)(3x + 3) | c. | 3(x + 6)(x +
3) | b. | 6(x + 3)(x + 3) | d. | 6(x + 9)(x +
6) |
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14.
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Which of the following are factors for the polynomial  ? a. | (9x – 16)(x + 1) | c. | (9x + 4)(x –
4) | b. | (3x – 4)(3x – 4) | d. | (3x + 4)(3x –
4) |
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15.
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Simplify. 
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16.
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What are the restrictions on the variable for  ?
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17.
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Simplify. 
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18.
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Simplify. 
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19.
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Simplify.  a. | 48x – 60 | c. |  | b. | 1 | d. | 8x –
10 |
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20.
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Simplify. 
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21.
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Simplify. 
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22.
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Simplify. 
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23.
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Simplify. 
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24.
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Which of the following is true about the parabola for the function  ? a. | The y-intercept is 0. | c. | The axis of symmetry is x =
–4. | b. | The vertex is (4, 5). | d. | The parabola opens down. |
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25.
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What is the function for the graph shown? 
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26.
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The points (–3, 5) and (7, 5) are the same distance from the vertex of
their parabola. What is the equation for the axis of symmetry of the parabola?
a. | x = 5 | c. | x = –3 | b. | x = 0 | d. | x = 2 |
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27.
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The Canada Calendar Company reduces the prices of its calendars each January.
The function  models the company’s profits, where x is
the price of a calendar in dollars. At what calendar price will the company receive maximum
profits?
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28.
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Which of the following quadratic functions will have a minimum value?
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29.
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What is the minimum value for the function  ? Round to two decimal
places.
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30.
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What is the minimum value for the function  ?
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31.
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Which of the following expresses  in simplest form?
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32.
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Which of the following expresses  in simplest form?
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33.
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Which of the following expresses  in simplest form? a. | 180 | c. |  | b. |  | d. | 320 |
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34.
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Which of the following expresses  in simplest form?
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35.
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Which of the following expresses  in simplest form?
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36.
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Which of the following are roots of the equation  ? a. | x = –4, 7 | c. | x = –7, 4 | b. | x =
–28, 0 | d. | x =
–24, 4 |
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37.
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Which of the following are approximate roots of the equation  ? a. | x  0.4, 0.67 | c. | x  1.38,
11.63 | b. | x  0.69, 5.81 | d. | x  –13.13,
3.25 |
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38.
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A model rocket is launched off the top of a table. The height of the rocket is
given by the function  , where h( t) is the height in metres and
t is the time in seconds. How long will it take for the rocket to reach the ground? a. | 0.13 s | c. | 18.79 s | b. | 18.76 s | d. | 0.13 s and 18.79
s |
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39.
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How many zeros are in the solution to the function  ?
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40.
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Which of the following is equivalent to the expression  ?
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41.
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Which of the following is equivalent to the expression  ?
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42.
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Which of the following is equivalent to the expression  ?
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43.
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What is  in exponent form?
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44.
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Which of the following is equivalent to the expression  ?
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45.
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Which of the following is equivalent to the expression  ?
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46.
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Which function describes exponential decay?
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47.
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The growth in population of a town since 2000 is given, in thousands, by the
function  . In which year will the population expect to reach
70 000?
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48.
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A 300 g sample of thorium-234 has a half-life of 24 days. The mass of thorium,
in grams, that remains after t days can be modelled by  . What mass will
remain after 31 days? a. | 122.5 g | c. | 177.5 g | b. | 150 g | d. | 193.75 g |
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49.
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Which function describes exponential growth?
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50.
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The population of a small village has grown at an annual rate of approximately
5.5%. How long will it take for its population of 3200 people to double at this growth rate?
a. | about 1.5 years | c. | about 13 years | b. | about 11 years | d. | about 16 years |
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51.
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Determine the length of the hypotenuse of the triangle to the nearest tenth of a
metre.  a. | 3.1 m | c. | 2.1 m | b. | 2.4 m | d. | 2.9 m |
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52.
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Determine the exact value of  .
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53.
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Using the appropriate special triangle, determine  if  for  .
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54.
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For the angle  moving counter-clockwise in standard position,
determine which primary trigonometric ratio is positive. a. | sine | c. | tangent | b. | cosine | d. | none are
positive |
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55.
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56.
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Use the trigonometric ratio  to determine which of the following
is the correct value of  to the nearest degree if  .
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57.
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 lies on the terminal arm of an angle in standard
position. What is the value of the principal angle  to the nearest degree?
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58.
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Determine the correct simplification of the expression  .
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59.
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Determine the correct simplification of the expression  .
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60.
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Which of the following completes the missing step to the following
proof.  L.S.:  = ??? =   = R.S.
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61.
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Determine the measure of the angle  to the nearest degree. 
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62.
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Determine  to the nearest degree for the triangle with the given
information. a = 3.7 m, b = 4.9m, 
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63.
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Determine the measure of the angle  to the nearest degree. 
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64.
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Determine x to the nearest tenth of a metre.  a. | 7.5 m | c. | 6.2 m | b. | 7.9 m | d. | 6.9 m |
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65.
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In  , a = 5.4 m, b = 7.2 m, and c =
10.0 m. Determine  to the nearest degree.
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66.
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In  , a = 9.4 m, b = 16.1 m, and  . Determine  to the nearest degree.
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67.
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Determine the value of x to the nearest cm.  a. | 47 cm | c. | 74 cm | b. | 68 cm | d. | 98 cm |
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68.
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Frank is riding a Ferris wheel, where t is time in seconds. Suppose
the Ferris wheel is 20 m tall. Let  represent the height of Frank in m
above or below the centre of the Ferris wheel. How long does it take to make two complete
cycles on the Ferris wheel? Assume there are no stops. a. | 60 s | c. | 45 s | b. | 30 s | d. | 120 s |
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69.
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A spring bounces up and down according to the model  , where  is the
displacement in cm from the rest position and t is time in seconds. What is the
range?
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70.
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Without graphing, determine the equation of the axis of the function  .
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71.
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Without graphing, determine the period of the function  .
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72.
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Determine the equation of a sine function that would have a range of  and a period of  .
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73.
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For an investment of $20 000 at 7.2%/a compounded semi-annually for 7 years,
what is the total interest earned?
a. | $12 814.56 | c. | $32 936.72 | b. | $32 814.56 | d. | $52 936.72 |
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74.
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How much is the future value of an investment of $6300 at 2.6%/a compounded
weekly for 1.5 years?
a. | $6347.31 | c. | $6550.49 | b. | $6420.81 | d. | $6800.98 |
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75.
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Maureen invests $1500 every 3 months at 5.2%/a compounded quarterly for 5 years.
How much interest will she earn after the 5th year?
a. | $821.62 | c. | $4010.64 | b. | $1942.14 | d. | $34 010.64 |
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76.
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Fayad wants to invest money every month for 25 years. He would like to have $250
000 at the end of the 25 years. If he invests in an account at 6.6%/a compounded monthly, how much
does he need to invest each month?
a. | $328.67 | c. | $1881.90 | b. | $760.64 | d. | $4185.36 |
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77.
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Every 6 months, Lucy invests $900 at 2.8%/a compounded semi-annually for 12
years. What is the value of the first investment at the end of 12 years?
a. | $925.20 | c. | $1256.47 | b. | $1239.13 | d. | $1274.06 |
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78.
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Sal and Kendra each invest $400 every month for 5 years. Sal’s bank gives
him 5.4%/a compounded monthly. Kendra’s bank gives her 6%/a compounded monthly. How much more
will Kendra have in her account at the end of 5 years?
a. | $240.00 | c. | $572.72 | b. | $426.12 | d. | $27 908.01 |
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