Multiple Choice Identify the
choice that best completes the statement or answers the question.


1.

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 


2.

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 


3.

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 


4.

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?


5.

The function represents a transformation that can best be described as
A  a reflection in the xaxis  C  a reflection in the
yaxis  B  a reflection in the xaxis and the yaxis  D  a reflection in the line y =
x 


6.

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
yaxis  B  a reflection in the xaxis and the yaxis  D  a reflection in the
xaxis 


7.

When a function is reflected in the xaxis, the coordinates of point
(x, y) become
A  (x, –y)  C  (–x, –y)  B  (–x,
y)  D  (x,
y) 


8.

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
xaxis  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 yaxis 


9.

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
xaxis  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 yaxis  D  f(x) is
stretched horizontally by a factor of 1/b 


10.

Which of the graphs shown below represents the base function and the
stretched function g( x) = ( x) ^{2}?


11.

What are the coordinates of the invariant point(s) when the function is
reflected in the yaxis?
A  (2, –2)  C  (0, –2)  B  (–2, 0) and (2, 0)  D  (0, 2) 


12.

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 


13.

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 


14.

Which is the graph of the function ?


15.

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 


16.

In the following graph, which transformations must be applied to the blue curve
to obtain the red curve?
A  a reflection in the xaxis, a vertical translation of 4 units up, and a
horizontal translation of 3 units to the right  B  a reflection in the xaxis, a vertical
translation of 3 units up, and a horizontal translation of 4 units to the right  C  a reflection in the
xaxis, a vertical translation of 3 units down, and a horizontal translation of 4 units to the
right  D  a reflection in the xaxis, a vertical translation of 4 units up, and a
horizontal translation of 3 units to the left 


17.

In the graph shown, which transformations must be applied to the blue curve to
obtain the red curve?
A  a reflection in the xaxis and a translation of 5 units
down  B  a reflection in the yaxis and a translation of 5 units up  C  a reflection in the
xaxis and a translation of 5 units up  D  a reflection in the yaxis and a
translation of 5 units down 


18.

Which of the following graphs represents the graph of the function
transformed to ?


19.

When the function is transformed to , the graph looks
like


20.

Which of the following functions is the correct inverse for the function ?


21.

Which of the following functions is the correct inverse for the function
f( x) = ?


22.

Which of the following functions is the correct inverse for the function ,
{ x  x ³ 0, x Î R}?


23.

Which of the following relations is the correct inverse for the function ?


24.

Which graph represents the inverse of the graph shown?


25.

Which graph represents the inverse of the function shown?


26.

The equation of the inverse of is


27.

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 yaxis  C  compressed by a factor of and reflected
in the yaxis  D  stretched by a factor of 5 and not reflected 


28.

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 yaxis  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 xaxis 


29.

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) 


30.

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 


31.

Given the graph of f( x) shown below, what are the coordinates of
point A ¢ if the equation of the transformed function is ?


32.

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?


33.

In the following graph, what transformations must be applied to the blue curve
to obtain the red curve?
A  a reflection in the xaxis, a vertical translation 5 units up, and a
horizontal translation 3 units to the right  B  a reflection in the xaxis, a vertical
translation 5 units down, and a horizontal translation 3 units to the right  C  a reflection in the
xaxis, a vertical translation 3 units up, and a horizontal translation 5 units to the
left  D  a reflection in the xaxis, a vertical translation 3 units up, and a
horizontal translation 5 units to the right 


34.

The two functions in the graph shown are reflections of each other. Select the
type of reflection(s).
A  a reflection in the yaxis  C  a reflection in the line y =
x  B  a reflection in the xaxis and the yaxis  D  a reflection in the
xaxis 


35.

Given the function , which of the following is a restriction on the inverse
function, ?


36.

Which of the graphs shown below represents the base function (in black) and
the stretched function g( x) = (in red)?


37.

What are the coordinates of the invariant point(s) when the function is
reflected in the yaxis?
A  (9, –3)  C  (0, –3)  B  (–3, 0) and (9, 0)  D  (0, 9) 


38.

Which is the graph of the square root of the function ?


39.

Which graph represents the square root of the function shown in the
graph?


40.

Which of the following functions is the correct inverse for the function ,
{ x  x ³ 0, x Î
R}?


41.

Which graph represents the square root of the graph shown?


42.

Which graph represents the square root of the graph shown?


43.

Which graph shows the graphical solution to the radical equation ?


44.

Which graph shows the graphical solution to the radical equation ?


45.

Which graph shows the solution to the radical equation ?


46.

Which graph shows the solution to the radical equation ?


47.

What is the solution to the radical equation ?


48.

Which equation of a radical function would have the following domain and
range? ;


49.

Which graph represents an odddegree polynomial function with two
xintercepts?


50.

How many xintercepts are possible for the polynomial function ?


51.

What is the restriction on x if is divided by ?


52.

If is divided by to give a quotient of and a
remainder of –952, then which of the following is true?


53.

If is divided by , what is the
remainder?


54.

If is divided by , what is the remainder?
A  P(x – 4)  C  P(x +
4)  B  P(4)  D  P(–4) 


55.

When is divided by , the remainder is


56.

For a polynomial P( x), if = 0, then which of the
following must be a factor of P( x)?


57.

Which of the following binomials is a factor of ?


58.

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 


59.

Determine the value of k so that is a factor of .
A  k = –1  C  k = 14  B  k = –14  D  k = 1 


60.

Which of the following is the fully factored form of ?


61.

The fully factored form of is


62.

Which of the following is the fully factored form of ?


63.

One root of the equation is


64.

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 


65.

Which of the following graphs of polynomial functions corresponds to a cubic
polynomial equation with roots 4, 1, and 3?


66.

The graph that corresponds to the function is


67.

Which of the following graphs of polynomial functions corresponds to a
polynomial equation with zeros –6 (multiplicity of 2) and –1 (multiplicity of 2)?


68.

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 xaxis by a factor of
h = –8, horizontal translation 8 units right k = 2, vertical
translation 2 units down  B  a = , vertical stretch about the
xaxis by a factor of h = 2, horizontal translation 2 units
left k = –8, vertical translation 8 units right  C  a = ,
vertical stretch about the xaxis by a factor of h = 2, horizontal translation 2
units right k = –8, vertical translation 8 units down  D  a = ,
vertical stretch about the xaxis by a factor of h = 2, horizontal translation
2 units right k = –8, vertical translation 8 units
down 


69.

The exact radian measure for an angle of 255° is


70.

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 


71.

Determine the equation of a circle with centre at the origin and radius
8.


72.

Determine the equation of a circle with centre at (3, –3) and radius
10.


73.

Which graph represents an angle in standard position with a measure of p rad?


74.

Which graph represents an angle in standard position with a measure of
135°?


75.

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) 


76.

Identify the point on the unit circle corresponding to an angle of 300° in
standard position.


77.

Identify the point on the unit circle corresponding to an angle of radians in standard position.


78.

Identify a measure for the central angle q in the
interval such that point ( , ) is on the terminal arm.


79.

Which is a possible value of q, to the nearest
hundredth of a radian, when cos q =
–0.58?


80.

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 


81.

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 


82.

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 


83.

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.


84.

Which function, where x is in radians, is represented by the graph shown
below?


85.

The period (in degrees) of the graph of is


86.

The amplitude and period (in degrees) of are
A  amplitude = period =  C  amplitude = period =
 B  amplitude = 2 period =  D  amplitude = –2 period = 


87.

Which function is represented by the graph shown below, where q is in radians?


88.

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 


89.

What is the period of the sinusoidal function ?


90.

Which graph represents the sinusoidal function ?


91.

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.


92.

Which function represents the graph shown, where x is in radians?


93.

Which of the following is not an asymptote of the function ?


94.

Which function has zeros only at ?
A  y = tan(q p)  C  y = tan(q p)  B   D  y = tan(q p) 


95.

Given the trigonometric function , which is the xcoordinate at which
the function is undefined?


96.

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° 



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.


97.

What is the radius of the Ferris wheel?


98.

How long does it take for the wheel to revolve once?
A  s  C  160 s  B  80
s  D 
s 


99.

What is the minimum height of a car?


100.

What is the maximum height of a car?



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.


101.

What is the piston’s minimum height?


102.

What is the period?


103.

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 


104.

Which equation is a reciprocal identity?


105.

What does the expression simplify to?


106.

Which of the following sets is the set of reciprocal trigonometric
ratios?


107.

What is an equivalent expression for ?


108.

Which expression is equivalent to ?


109.

Which expression is equivalent to ?


110.

Which expression is equivalent to ?


111.

Which expression is equivalent to ?


112.

Which expression is equivalent to ?


113.

Which expression is equivalent to ?


114.

Simplify .


115.

Simplify . Round your answer to the nearest hundredth.


116.

Which expression is equivalent to ?


117.

can be rewritten as


118.

can be rewritten as


119.

What is the solution to the equation over the domain ?
A  60° and 240°  C  no solution  B  120°, 180°, and 240°  D  120° 


120.

What is the general solution, in degress, to the equation ?


121.

What is the general solution, in radians, to the equation ?
A  where  C  where  B  no solution  D  where 


122.

Which set of properties does the function have?
A  no xintercept, no yintercept  C  no xintercept,
yintercept is 1  B  xintercept is 1, no
yintercept  D  xintercept is 0, yintercept is 0 


123.

Which choice best describes the function ?
A  both increasing and decreasing  C  increasing  B  decreasing  D  neither increasing nor decreasing 


124.

Which set of properties is correct for the function ?


125.

Which exponential equation matches the graph shown?


126.

A radioactive sample with an initial mass of 1 mg has a halflife of 9 days.
What is the equation that models the exponential decay, A, for time, t, in 9day
intervals?


127.

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?


128.

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?


129.

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?


130.

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 


131.

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 


132.

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 


133.

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 


134.

The equation can also be written as


135.

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. 


136.

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 


137.

Which function results when the graph of is translated 2 units
down?


138.

Which function is represented by the following graph?


139.

Which function results when the graph of the function is reflected in
the yaxis, compressed vertically by a factor of , and shifted 2 units down?


140.

What is the exponential equation for the function that results from the
transformations listed being applied to the base function ? •
a reflection in the yaxis • a vertical stretch by a factor of 6 • a
horizontal stretch by a factor of 7


141.

Which graph represents the function ?


142.

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   


143.

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?


144.

Solve for x.


145.

Solve for x, to one decimal place.
A  1466.6  C  36 667.0  B  11.1  D  5.5 


146.

Solve for x.


147.

The halflife 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 halflife of the element is


148.

Which graph represents the inverse of ?


149.

Another way of writing is


150.

Which of the following represents ?


151.

Another way of writing is


152.

Evaluate .


153.

The range of the function is


154.

The domain of the function is


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 


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 yaxis, vertically stretched by a factor of 3, and reflected in the
xaxis  C  translated down 10 units and left 6 units, horizontally stretched by a factor of , not
reflected in the yaxis, vertically stretched by a factor of 3, and not reflected in the
xaxis  B  translated down 10 units and right 6 units, horizontally stretched by a factor of
, reflected in the yaxis, vertically stretched by a factor of 3, and not reflected in the
xaxis  D  translated up 10
units and left 6 units, horizontally stretched by a factor of , not reflected in the
yaxis, vertically stretched by a factor of 3, and not reflected in the
xaxis 


157.

What is the equation for the asymptote of the function ?
A  x = 2  C  x = –5  B  x = –3  D  x =
–2 


158.

Which graph represents the function ?


159.

Which graph represents the function ?


160.

Which of the following is equivalent to the expression ?


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 


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.


163.

Solve .
A  x = 6  C  x =  B  x =  D  x =
729 


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 


165.

Solve to the nearest hundredth.


166.

Solve . Round your answer to two decimal places.


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 


168.

Which of the reciprocal functions has a vertical asymptote with equation ?


169.

What is true about the behaviour of the function as ^{}
(right to left)?
A  ¥  C   B  +¥  D  f(x) is
undefined 


170.

What is the xintercept of ?
A  There is no xintercept.  C   B   D  0 


171.

Which graph represents the function ?


172.

The rational function is represented by which graph?


173.

Which function represents the graph shown below?


174.

Which of the following functions has a slant asymptote when graphed?


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 


176.

Which function has vertical asymptotes with equations and ?


177.

Which function has a point of discontinuity at ?


178.

Which graph represents ?


179.

Which function has a yintercept of ?


180.

Which function has a horizontal asymptote with equation ?


181.

Which function has an xintercept of ?


182.

What is the equation for the horizontal asymptote of the graph of the function
shown?


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


184.

Which rational function has the following characteristics? • a vertical
asymptote with equation • a horizontal asymptote with equation • a point of discontinuity at


185.

Which function has a graph in the shape of a parabola?


186.

Solve the equation .
A  x =  C  x =
–6  B  x = –8  D  x = 


187.

Solve the equation .
A  x =  C  x =  B  x = 3  D  x = 4 


188.

Solve the equation .
A   C  no solution  B  x = 2,
x = 9  D  


189.

What are the xintercepts of the graph of ?


190.

Solve the equation graphically.


191.

Given the functions and , determine the equation for the combined
function .


192.

Given the functions and , determine an equation for the combined
function .



For the following question(s), assume that x is in radians, if
applicable.


193.

Given the functions and , the graph of the combined function most
likely resembles


194.

Given the functions and , a graph of the combined function
most likely resembles


195.

Given the functions and , what is the range of the composite
function ?


196.

Shown is the graph of , where and is a function
of the form .
What equation represents ?


197.

Given the functions and , what is the value of ?


198.

Given the functions and , the graph of the combined function most
likely resembles


199.

Given the functions and , a graph of the combined function most
likely resembles


200.

An equation for the graph shown is most likely


201.

An equation for the graph shown is most likely


202.

Given the functions and , determine the domain of the combined
function .


203.

Given the functions and , determine the domain of the combined
function .


204.

Given the functions and , what is the simplified form of ?


205.

If and , what are the restrictions on the domain
for the combined function ?


206.

If and , what is the simplified combined function
?


207.



208.

Given the function , determine the value of .


209.

Given the functions and , which of the following is most likely the
graph of ?


210.

Given the functions and , which of the following is most likely the
graph of ?


211.

What is the value of 6!?


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 


213.

Solve for the variable: = 252
A  15  C  6  B   D  


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?


215.

Evaluate the expression .
A  726 485 760  C  2002  B  240 240  D  126 


216.

Evaluate the expression .
A  2184  C  794 976  B  87 178 291 200  D  239 500 800 


217.

Solve for n in the expression .


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 


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 


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?


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 noncollinear points are plotted on a plane. Which expression
represents the number of triangles that can be formed using these points?


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 


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?


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
