Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Compared to the graph of the base function  , the graph of the
function  is translated A | 9 units to the left | C | 9 units down | B | 9 units to the right | D | 9 units up |
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2.
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Compared to the graph of the base function  , the graph of the
function  is translated A | 5 units to the right | C | 5 units down | B | 5 units up | D | 5 units to the
left |
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3.
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Compared to the graph of the base function  , the graph of the
function  is translated A | 4 units to the right | C | 4 units down | B | 4 units to the left | D | 4 units up |
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4.
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What is the equation of the transformed function, g( x), after the
transformations are applied to the graph of the base function  , shown in blue, to
obtain the graph of g( x), shown in red? 
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5.
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The function  represents a transformation that can best be described as
A | a reflection in the x-axis | C | a reflection in the
y-axis | B | a reflection in the x-axis and the y-axis | D | a reflection in the line y =
x |
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6.
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The two functions in the graph shown are reflections of each other. Select the
type of reflection(s).  A | a reflection in the line y = x | C | a reflection in the
y-axis | B | a reflection in the x-axis and the y-axis | D | a reflection in the
x-axis |
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7.
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When a function is reflected in the x-axis, the coordinates of point
(x, y) become
A | (x, –y) | C | (–x, –y) | B | (–x,
y) | D | (x,
y) |
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8.
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When a > 0, the function  has what relationship to the base
function  ? A | f(x) is stretched vertically by a factor of |a| and reflected in the
x-axis | B | f(x) is stretched horizontally by a factor of 1/|a| | C | f(x) is
stretched vertically by a factor of |a| | D | f(x) is stretched horizontally by
a factor of 1/|a| and reflected in the y-axis |
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9.
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When b > 0, the function  has what relationship to the base
function  ? A | f(x) is stretched vertically by a factor of |b| and reflected in the
x-axis | B | f(x) is stretched vertically by a factor of |b| | C | f(x) is
stretched horizontally by a factor of 1/|b| and reflected in the y-axis | D | f(x) is
stretched horizontally by a factor of 1/|b| |
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10.
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Which of the graphs shown below represents the base function  and the
stretched function g( x) = (  x) 2?
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11.
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What are the coordinates of the invariant point(s) when the function  is
reflected in the y-axis? A | (2, –2) | C | (0, –2) | B | (–2, 0) and (2, 0) | D | (0, 2) |
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12.
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When the value of a is less than –1, the function 
has what relationship to the base function  ? A | f(x) is compressed vertically | B | f(x) is
reflected and compressed vertically | C | f(x) is stretched
vertically | D | f(x) is reflected and stretched
vertically |
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13.
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Compared to the graph of the base function  , the graph of the function
 is translated A | 9 units to the left and 4 units down | C | 9 units to the right and 4 units
up | B | 4 units to the left and 9 units down | D | 4 units to the right and 9 units
up |
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14.
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Which is the graph of the function  ?
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15.
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Which choice best describes the combination of transformations that must be
applied to the graph of  to obtain the graph of  ? A | a horizontal stretch by a factor of 2 and a horizontal translation of 2 units to the
left | B | a horizontal stretch by a factor of  and a horizontal translation of 4 units to
the right | C | a horizontal stretch by a factor of  and a horizontal translation of 2 units to
the right | D | a horizontal stretch by a factor of –2 and a horizontal translation of 2 units
to the right |
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16.
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In the following graph, which transformations must be applied to the blue curve
to obtain the red curve?  A | a reflection in the x-axis, a vertical translation of 4 units up, and a
horizontal translation of 3 units to the right | B | a reflection in the x-axis, a vertical
translation of 3 units up, and a horizontal translation of 4 units to the right | C | a reflection in the
x-axis, a vertical translation of 3 units down, and a horizontal translation of 4 units to the
right | D | a reflection in the x-axis, a vertical translation of 4 units up, and a
horizontal translation of 3 units to the left |
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17.
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In the graph shown, which transformations must be applied to the blue curve to
obtain the red curve?  A | a reflection in the x-axis and a translation of 5 units
down | B | a reflection in the y-axis and a translation of 5 units up | C | a reflection in the
x-axis and a translation of 5 units up | D | a reflection in the y-axis and a
translation of 5 units down |
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18.
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Which of the following graphs represents the graph of the function 
transformed to  ?
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19.
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When the function  is transformed to  , the graph looks
like
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20.
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Which of the following functions is the correct inverse for the function  ?
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21.
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Which of the following functions is the correct inverse for the function
f( x) =   ?
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22.
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Which of the following functions is the correct inverse for the function  ,
{ x | x ³ 0, x Î R}?
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23.
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Which of the following relations is the correct inverse for the function  ?
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24.
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Which graph represents the inverse of the graph shown? 
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25.
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Which graph represents the inverse of the function shown? 
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26.
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The equation of the inverse of  is
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27.
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Compared to the graph of the base function  , the graph of the
function  is A | compressed by a factor of  and not reflected | B | stretched by a factor
of 5 and reflected in the y-axis | C | compressed by a factor of  and reflected
in the y-axis | D | stretched by a factor of 5 and not reflected |
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28.
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When b < 0, the function  has what relationship to the base
function  ? A | f(x) is stretched horizontally by a factor of 1/|b| | B | f(x) is
stretched horizontally by a factor of 1/|b| and reflected in the y-axis | C | f(x) is
stretched vertically by a factor of |b| | D | f(x) is stretched vertically by a
factor of |b| and reflected in the x-axis |
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29.
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When the graph of  is vertically stretched by a factor of 3, the point (9,
–10) will be translated to the point A | (–10, 9) | B | (3, –30) | C | (–30,
9) | D | (9, –30) |
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30.
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Given the function  with a domain of  and a range of  , which of the following
best describes the vertical and horizontal translations with respect to the graph of  ? A | 5 units to the left and 8 units up | C | 8 units to the left and 5 units
up | B | 8 units to the left and 5 units down | D | 5 units to the left and 8 units
down |
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31.
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Given the graph of f( x) shown below, what are the coordinates of
point A ¢ if the equation of the transformed function is  ? 
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32.
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What is the equation of the transformed function, g( x), after the
transformations are applied to the graph of the base function  , shown in blue, to
obtain the graph of g( x), shown in red? 
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33.
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In the following graph, what transformations must be applied to the blue curve
to obtain the red curve?  A | a reflection in the x-axis, a vertical translation 5 units up, and a
horizontal translation 3 units to the right | B | a reflection in the x-axis, a vertical
translation 5 units down, and a horizontal translation 3 units to the right | C | a reflection in the
x-axis, a vertical translation 3 units up, and a horizontal translation 5 units to the
left | D | a reflection in the x-axis, a vertical translation 3 units up, and a
horizontal translation 5 units to the right |
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34.
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The two functions in the graph shown are reflections of each other. Select the
type of reflection(s).  A | a reflection in the y-axis | C | a reflection in the line y =
x | B | a reflection in the x-axis and the y-axis | D | a reflection in the
x-axis |
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35.
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Given the function  , which of the following is a restriction on the inverse
function,  ?
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36.
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Which of the graphs shown below represents the base function  (in black) and
the stretched function g( x) =  (in red)?
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37.
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What are the coordinates of the invariant point(s) when the function  is
reflected in the y-axis? A | (9, –3) | C | (0, –3) | B | (–3, 0) and (9, 0) | D | (0, 9) |
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38.
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Which is the graph of the square root of the function  ?
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39.
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Which graph represents the square root of the function shown in the
graph? 
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40.
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Which of the following functions is the correct inverse for the function  ,
{ x | x ³ 0, x Î
R}?
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41.
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Which graph represents the square root of the graph shown? 
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42.
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Which graph represents the square root of the graph shown? 
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43.
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Which graph shows the graphical solution to the radical equation  ?
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44.
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Which graph shows the graphical solution to the radical equation  ?
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45.
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Which graph shows the solution to the radical equation  ?
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46.
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Which graph shows the solution to the radical equation  ?
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47.
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What is the solution to the radical equation  ?
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48.
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Which equation of a radical function would have the following domain and
range?  ; 
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49.
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Which graph represents an odd-degree polynomial function with two
x-intercepts?
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50.
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How many x-intercepts are possible for the polynomial function  ?
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51.
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What is the restriction on x if  is divided by  ?
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52.
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If  is divided by  to give a quotient of  and a
remainder of –952, then which of the following is true?
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53.
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If  is divided by  , what is the
remainder?
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54.
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If  is divided by  , what is the remainder? A | P(x – 4) | C | P(x +
4) | B | P(4) | D | P(–4) |
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55.
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When  is divided by  , the remainder is
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56.
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For a polynomial P( x), if  = 0, then which of the
following must be a factor of P( x)?
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57.
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Which of the following binomials is a factor of  ?
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58.
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Which set of values for x should be tested to determine the possible
zeros of  ? A | ±5, ±7, and ±35 | C | 1, 5, 7, 12, and
35 | B | ±1, ±5, ±7, and ±35 | D | 1, 5, 7, and 35 |
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59.
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Determine the value of k so that  is a factor of  . A | k = –1 | C | k = 14 | B | k = –14 | D | k = 1 |
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60.
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Which of the following is the fully factored form of  ?
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61.
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The fully factored form of  is
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62.
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Which of the following is the fully factored form of  ?
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63.
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One root of the equation  is
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64.
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Based on the graph of  , what are the real roots of  ?  A | –6, –2, 2, 4 | C | there are no real
roots | B | 6, 2, –2, –4 | D | impossible to determine |
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65.
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Which of the following graphs of polynomial functions corresponds to a cubic
polynomial equation with roots 4, 1, and 3?
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66.
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The graph that corresponds to the function  is
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67.
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Which of the following graphs of polynomial functions corresponds to a
polynomial equation with zeros –6 (multiplicity of 2) and –1 (multiplicity of 2)?
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68.
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Given the function  , what are the parameters of the transformed function
y =   and what is the effect of each parameter on the graph of the
original function? A | a =  , vertical stretch about the x-axis by a factor of
h = –8, horizontal translation 8 units right
k = 2, vertical
translation 2 units down | B | a =  , vertical stretch about the
x-axis by a factor of 
h = 2, horizontal translation 2 units
left
k = –8, vertical translation 8 units right | C | a =  ,
vertical stretch about the x-axis by a factor of 
h = 2, horizontal translation 2
units right
k = –8, vertical translation 8 units down | D | a =  ,
vertical stretch about the x-axis by a factor of 
h = 2, horizontal translation
2 units right
k = –8, vertical translation 8 units
down |
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69.
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The exact radian measure for an angle of 255° is
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70.
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Determine the arc length of a circle with radius 5.5 cm if it is subtended by a
central angle of   radians. Round your answer to one
decimal place. A | 1.4 cm | C | 4.4 cm | B | 43.2 cm | D | 6.9 cm |
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71.
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Determine the equation of a circle with centre at the origin and radius
8.
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72.
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Determine the equation of a circle with centre at (3, –3) and radius
10.
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73.
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Which graph represents an angle in standard position with a measure of  p rad?
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74.
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Which graph represents an angle in standard position with a measure of
135°?
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75.
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The coordinates of the point that lies at the intersection of the terminal arm
and the unit circle at an angle of 110° are
A | (0.94, –0.34) | C | (–0.34, 0.94) | B | (–0.34, –2.75) | D | (–2.75,
0.94) |
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76.
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Identify the point on the unit circle corresponding to an angle of 300° in
standard position.
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77.
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Identify the point on the unit circle corresponding to an angle of  radians in standard position.
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78.
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Identify a measure for the central angle q in the
interval  such that point (  ,  ) is on the terminal arm.
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79.
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Which is a possible value of q, to the nearest
hundredth of a radian, when cos q =
–0.58?
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80.
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If the angle q is 1600° in standard position, in
which quadrant does it terminate?
A | quadrant III | C | quadrant II | B | quadrant IV | D | quadrant I |
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81.
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A ball is riding the waves at a beach. The ball’s up and down motion with
the waves can be described using the formula  , where h is the height, in metres,
above the flat surface of the water and t is the time, in seconds. What is the height of the
ball, to the nearest hundredth of a metre, after t = 17 s? A | –0.87 m | C | –1.99 m | B | –2.66 m | D | 1.99 m |
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82.
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A tricycle has a front wheel that is 30 cm in diameter and two rear wheels that
are each 12 cm in diameter. If the front wheel rotates through a angle of 32°, through how many
degrees does each rear wheel rotate, to the nearest tenth of a degree?
A | 32.0° | C | 80.0Á | B | 40.0Á | D | 160.0Á |
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83.
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The point P(0.391, 0.921) is the point of intersection of a unit circle and the
terminal arm of an angle q in standard position. What is the equation of
the line passing through the centre of the circle and the point P? Round the slope to two decimal
places.
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84.
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Which function, where x is in radians, is represented by the graph shown
below? 
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85.
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The period (in degrees) of the graph of  is
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86.
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The amplitude and period (in degrees) of  are A | amplitude = 
period =  | C | amplitude = 
period =
 | B | amplitude = 2
period =  | D | amplitude = –2
period =  |
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87.
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Which function is represented by the graph shown below, where q is in radians?
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88.
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The graph of  can be obtained by translating the graph of  A |  units to the right | C |  units to the
right | B |  units to the right | D |  units to the
right |
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89.
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What is the period of the sinusoidal function  ?
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90.
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Which graph represents the sinusoidal function  ?
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91.
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Give an equation for a transformed sine function with an amplitude of  , a
period of  , a phase shift of  rad to the right, and a vertical translation of 9 units
down.
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92.
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Which function represents the graph shown, where x is in radians? 
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93.
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Which of the following is not an asymptote of the function  ?
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94.
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Which function has zeros only at  ? A | y = tan(q  p) | C | y = tan(q  p) | B |  | D | y = tan(q  p) |
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95.
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Given the trigonometric function  , which is the x-coordinate at which
the function is undefined?
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96.
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What are the solutions for   = 0 in the interval  ? A | x = 90° and 270°  | C | x = 60° and 240° and 45° | B |     | D | x = 30°
and 210°  |
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Use the following information to answer the questions.The height,
h, in metres, above the ground of a car as a Ferris wheel rotates can be modelled by the
function  , where t is the time, in seconds.
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97.
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What is the radius of the Ferris wheel?
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98.
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How long does it take for the wheel to revolve once?
A |  s | C | 160 s | B | 80
s | D | 
s |
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99.
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What is the minimum height of a car?
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100.
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What is the maximum height of a car?
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Use the following information to answer the questions.The height,
h, in centimetres, of a piston moving up and down in an engine cylinder can be modelled by the
function  , where t is the time, in seconds.
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101.
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What is the piston’s minimum height?
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102.
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What is the period?
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103.
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Solve  to three decimal places on the interval  . A | x = 0.340, x = 5.943 | C | x = 1.911, x =
1.231 | B | x = 1.231, x = 5.052 | D | x = 1.911, x =
4.373 |
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104.
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Which equation is a reciprocal identity?
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105.
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What does the expression    simplify to?
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106.
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Which of the following sets is the set of reciprocal trigonometric
ratios?
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107.
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What is an equivalent expression for  ?
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108.
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Which expression is equivalent to  ?
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109.
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Which expression is equivalent to  ?
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110.
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Which expression is equivalent to  ?
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111.
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Which expression is equivalent to  ?
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112.
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Which expression is equivalent to  ?
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113.
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Which expression is equivalent to  ?
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114.
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Simplify  .
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115.
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Simplify  . Round your answer to the nearest hundredth.
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116.
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Which expression is equivalent to  ?
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117.
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 can be rewritten as
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118.
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 can be rewritten as
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119.
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What is the solution to the equation  over the domain  ? A | 60° and 240° | C | no solution | B | 120°, 180°, and 240° | D | 120° |
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120.
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What is the general solution, in degress, to the equation  ?
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121.
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What is the general solution, in radians, to the equation  ? A |  where  | C |  where  | B | no solution | D |  where  |
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122.
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Which set of properties does the function  have? A | no x-intercept, no y-intercept | C | no x-intercept,
y-intercept is 1 | B | x-intercept is 1, no
y-intercept | D | x-intercept is 0, y-intercept is 0 |
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123.
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Which choice best describes the function  ? A | both increasing and decreasing | C | increasing | B | decreasing | D | neither increasing nor decreasing |
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124.
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Which set of properties is correct for the function  ?
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125.
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Which exponential equation matches the graph shown? 
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126.
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A radioactive sample with an initial mass of 1 mg has a half-life of 9 days.
What is the equation that models the exponential decay, A, for time, t, in 9-day
intervals?
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127.
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A colony of ants has an initial population of 750 and triples every day. Which
function can be used to model the ant population, p, after t days?
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128.
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A bacteria colony initially has 1500 cells and doubles every week. Which
function can be used to model the population, p, of the colony after t days?
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129.
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An investment of $150 is placed into an account that earns interest, compounded
annually, at a rate of 5% for 12 years. The amount, A, in the account can be modelled by the
function  , where t is the time, in years. What is the domain of this function?
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130.
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A rumour is being spread in a community that the mayor is going to retire before
the next election. Initially, 6 people were told the rumour and each of these people told 6 others
the following day. Each of the 6 people told by the initial people told 6 others the day after they
were told. If this process keeps up, how many people will be told the rumour on the eighth
day?
A | 1 679 616 people | C | 10 077 696 people | B | 279 936 people | D | 48 people |
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131.
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To the nearest year, how long would an investment need to be left in the bank at
5%, compounded annually, for the investment to triple?
A | 15 years | C | 28 years | B | 26 years | D | 23 years |
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132.
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Jennifer deposited some money into an account that pays 7% per year, compounded
annually. Today her balance is $300. How much was in the account 10 years ago, to the nearest
cent? [Hint: Use  .] A | $163.18 | C | $42.86 | B | $30.00 | D | $152.50 |
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133.
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Mohamed purchased a car for $16 000. It depreciates by 20% of its current value
every year. How much will the car be worth 8 years after it is purchased?
A | $80 000 | C | $2684.35 | B | $2000 | D | $68 797.07 |
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134.
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The equation  can also be written as
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135.
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For the exponential function  , which of the following statements is
not true? A | The graph of the function is increasing. | B | The graph of the
function is decreasing. | C | The domain is the set of real
numbers. | D | The range is the set of real numbers greater than
zero. |
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136.
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Which of the following transformations maps the function  onto the
function  ? A | a horizontal shift of 5 units to the left and a vertical shift of 7 units
up | B | a horizontal shift of 5 units to the right and a vertical shift of 7 units
down | C | a horizontal shift of 5 units to the right and a vertical shift of 7 units
up | D | a horizontal shift of 5 units to the left and a vertical shift of 7 units
down |
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137.
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Which function results when the graph of  is translated 2 units
down?
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138.
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Which function is represented by the following graph? 
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139.
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Which function results when the graph of the function  is reflected in
the y-axis, compressed vertically by a factor of  , and shifted 2 units down?
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140.
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What is the exponential equation for the function that results from the
transformations listed being applied to the base function  ? •
a reflection in the y-axis
• a vertical stretch by a factor of 6
• a
horizontal stretch by a factor of 7
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141.
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Which graph represents the function  ?
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142.
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Which equation can be used to model the given information, where the population
has been rounded to the nearest whole number? Year (x) | Population
(y) | 0 | 100 | 1 | 104 | 2 | 108 | 3 | 112 | 4 | 117 | 5 | 122 | | |
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143.
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The population of a bacterial culture triples every hour. When the scientist
observed the culture, it had already been growing for some time. She developed the equation for the
population, P, after t hours as  , based on t = 0 representing the
time she started her measurements. How many bacterial cells were there 2 h before she started
measuring?
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144.
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Solve for x. 
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145.
|
Solve for x, to one decimal place.  A | 1466.6 | C | 36 667.0 | B | 11.1 | D | 5.5 |
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146.
|
Solve for x.
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147.
|
The half-life of a radioactive element can be modelled by  , where  is
the initial mass of the element;  is the elapsed time, in hours; and  is the mass
that remains after time  . The half-life of the element is
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148.
|
Which graph represents the inverse of  ?
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149.
|
Another way of writing  is
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150.
|
Which of the following represents  ?
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151.
|
Another way of writing  is
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152.
|
Evaluate  .
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153.
|
The range of the function  is
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154.
|
The domain of the function  is
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155.
|
Compared to the graph of the base function  , the graph of the
function  is translated A | 4 units to the left | C | 4 units up | B | 4 units down | D | 4 units to the
right |
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156.
|
Compared to the graph of the base function  , the graph of the
function  is A | translated down 10 units and left 6 units, horizontally stretched by a factor of  ,
reflected in the y-axis, vertically stretched by a factor of 3, and reflected in the
x-axis | C | translated down 10 units and left 6 units, horizontally stretched by a factor of  , not
reflected in the y-axis, vertically stretched by a factor of 3, and not reflected in the
x-axis | B | translated down 10 units and right 6 units, horizontally stretched by a factor of
 , reflected in the y-axis, vertically stretched by a factor of 3, and not reflected in the
x-axis | D | translated up 10
units and left 6 units, horizontally stretched by a factor of  , not reflected in the
y-axis, vertically stretched by a factor of 3, and not reflected in the
x-axis |
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157.
|
What is the equation for the asymptote of the function  ? A | x = 2 | C | x = –5 | B | x = –3 | D | x =
–2 |
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158.
|
Which graph represents the function  ?
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159.
|
Which graph represents the function  ?
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160.
|
Which of the following is equivalent to the expression  ?
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161.
|
If  ,  , and  , an algebraic expression in
terms of s, v, and z for  is A | v - 2s + 2z | C | v - 2(s - z) | B | v - 2(s + z) | D | v - 2s
+ z |
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162.
|
The pH scale is used to measure the acidity or alkalinity of a solution. pH is
defined as  , where  is the concentration of hydronium ions, measured in moles
per litre. Determine the pH of a solution with a concentration of  . Round your answer to two
decimal places.
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163.
|
Solve  . A | x = 6 | C | x =  | B | x =  | D | x =
729 |
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164.
|
A graduate student determines that the relationship between the length,
s, in metres, of the skull and the body mass, m, in kilograms, of a particular species
can be expressed using the equation  . Determine the body mass of an animal with a skull size of
0.56 m. Round your answer to the nearest kilogram. A | 547 kg | C | 343 kg | B | 376 kg | D | 313 kg |
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165.
|
Solve  to the nearest hundredth.
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166.
|
Solve  . Round your answer to two decimal places.
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167.
|
The eye size of many vertebrates is related to body mass by the logarithmic
equation  , where E is the eye axial length, in millimetres, and m is the body mass,
in kilograms. Predict the mass of a vertebrate with an eye axial length of 43 mm. Round your answer
to the nearest hundredth of a kilogram. A | 2.66 | C | 1242.98 | B | 868.60 | D | 1.32 |
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168.
|
Which of the reciprocal functions has a vertical asymptote with equation  ?
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169.
|
What is true about the behaviour of the function  as   
(right to left)? A |  -¥ | C |  | B |  +¥ | D | f(x) is
undefined |
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170.
|
What is the x-intercept of  ? A | There is no x-intercept. | C |  | B |  | D | 0 |
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171.
|
Which graph represents the function  ?
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172.
|
The rational function  is represented by which graph?
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173.
|
Which function represents the graph shown below? 
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174.
|
Which of the following functions has a slant asymptote when graphed?
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175.
|
What is the value of k in the function  if its graph passes through
the point (3,  ) ? A |  | C | –10 | B | 4 | D | No such k
exists |
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176.
|
Which function has vertical asymptotes with equations  and   ?
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177.
|
Which function has a point of discontinuity at  ?
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178.
|
Which graph represents  ?
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179.
|
Which function has a y-intercept of  ?
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180.
|
Which function has a horizontal asymptote with equation   ?
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181.
|
Which function has an x-intercept of  ?
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182.
|
What is the equation for the horizontal asymptote of the graph of the function
shown? 
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183.
|
Which graph of a rational function has the following characteristics? •
a vertical asymptote with equation  • a horizontal asymptote with equation  • a point of discontinuity at 
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184.
|
Which rational function has the following characteristics? • a vertical
asymptote with equation  • a horizontal asymptote with equation  • a point of discontinuity at 
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185.
|
Which function has a graph in the shape of a parabola?
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186.
|
Solve the equation  . A | x =  | C | x =
–6 | B | x = –8 | D | x =  |
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187.
|
Solve the equation  . A | x =  | C | x =  | B | x = 3 | D | x = 4 |
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188.
|
Solve the equation  . A |  | C | no solution | B | x = 2,
x = 9 | D |   |
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189.
|
What are the x-intercepts of the graph of  ?
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190.
|
Solve the equation  graphically.
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191.
|
Given the functions  and  , determine the equation for the combined
function  .
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192.
|
Given the functions  and  , determine an equation for the combined
function  .
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|
|
For the following question(s), assume that x is in radians, if
applicable.
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193.
|
Given the functions  and  , the graph of the combined function  most
likely resembles
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194.
|
Given the functions  and  , a graph of the combined function 
most likely resembles
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195.
|
Given the functions  and  , what is the range of the composite
function  ?
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196.
|
Shown is the graph of  , where  and  is a function
of the form  . 
What equation represents  ?
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197.
|
Given the functions  and  , what is the value of  ?
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198.
|
Given the functions  and  , the graph of the combined function  most
likely resembles
|
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199.
|
Given the functions  and  , a graph of the combined function  most
likely resembles
|
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200.
|
An equation for the graph shown is most likely 
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201.
|
An equation for the graph shown is most likely 
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202.
|
Given the functions  and  , determine the domain of the combined
function  .
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203.
|
Given the functions  and  , determine the domain of the combined
function  .
|
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204.
|
Given the functions  and  , what is the simplified form of  ?
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|
205.
|
If  and  , what are the restrictions on the domain
for the combined function  ?
|
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|
206.
|
If  and  , what is the simplified combined function
 ?
|
|
|
207.
|
|
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|
208.
|
Given the function  , determine the value of  .
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|
209.
|
Given the functions  and    , which of the following is most likely the
graph of  ?
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210.
|
Given the functions  and  , which of the following is most likely the
graph of  ?
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211.
|
What is the value of 6!?
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212.
|
The number of different ways that 9 bikes can be locked in a bike rack is
A | 3 628 800 | C | 40 320 | B | 20 160 | D | 362 880 |
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213.
|
Solve for the variable:  = 252 A | 15 | C | 6 | B |  | D |  |
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214.
|
An orchestra has 2 violinists, 3 cellists, and 4 harpists. Assume that the
players of each instrument have to sit together, but they can sit in any position in their own group.
In how many ways can the conductor seat the members of the orchestra in a line?
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215.
|
Evaluate the expression  . A | 726 485 760 | C | 2002 | B | 240 240 | D | 126 |
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216.
|
Evaluate the expression  . A | 2184 | C | 794 976 | B | 87 178 291 200 | D | 239 500 800 |
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217.
|
Solve for n in the expression  .
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218.
|
After the tryouts for the volleyball team, the coach selects 14 people to join
the team. Due to a problem with transportation, only 9 people can travel. In how many ways can the
coach pick the people to go?
A | 726 485 760 | C | 630 | B | 2002 | D | 126 |
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219.
|
For a mock United Nations, 6 boys and 7 girls are to be chosen. If there are 12
boys and 9 girls to choose from, how many groups are possible?
A | 846 720 | C | 960 | B | 33 264 | D | 120 708 403 200 |
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220.
|
Jenni and Hari go to a local Chinese restaurant for dim sum. If there are 20
items on the menu, and Jenni orders 7 items and Hari orders 11 items, which expression represents the
total number of choices between them?
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221.
|
Determine the coefficient, a, for the term  of the binomial expansion
of  .
|
|
|
222.
|
For which of the following terms is a = 55 in the expansion of (x
+ y)11?
|
|
|
223.
|
Determine the 5th term in the expansion of  .
|
|
|
224.
|
Suppose that 10 non-collinear points are plotted on a plane. Which expression
represents the number of triangles that can be formed using these points?
|
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225.
|
The leadership committee at a high school has 4 grade 10 students, 2 grade 11
students, and 6 grade 12 students. This year, 12 grade 10, 8 grade 11, and 10 grade 12 students
applied for the committee. How many ways are there to select the committee?
A | 2 910 600 | C | 733 | B | 100 590 336 000 | D | 163 136 |
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226.
|
After a sports, tournament every player shakes hands with every other player
once. If there are 36 handshakes in total, how many players are at the tournament?
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|
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227.
|
While at the dollar store, Peter finds 19 items at $1 each that he wants, but he
only has $3. The number of ways he could select which items to buy is
|