Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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The common difference in the arithmetic sequence 2, –6, –14,
–22, . . . is
A | –8 | C | –16 | B |  | D | 8 |
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2.
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The common ratio for the geometric sequence 8, 1, 0.125, 0.015625, . . . is
A |  | C | 8 | B | –8 | D |  |
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3.
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In the formula for the general term of an arithmetic sequence
tn = –7 + (n – 1) ´
(–2.5), the common difference is
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4.
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The first three terms of the sequence given by  are
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5.
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The sum of a geometric series where  , r = 2, and n = 3 is
approximately
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6.
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What is the value of S9 for the series 8 – 24 + 72
– 216 +  ? A | 39 366 | C | 52 491 | B | –13 122 | D | 39 368 |
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7.
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What are the three other angles in standard position that have a reference angle
of 54°?
A | 99°, 144°, 234° | C | 144°, 234°, 324° | B | 108°, 162°, 216° | D | 126°, 234°, 306° |
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8.
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Marco is 450 m due east of the centre of the park. His friend Ray is 450 m due
south of the centre of the park. Which is the correct expression for the exact distance between the
two boys?
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9.
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Solve the following triangle, rounding side lengths to the nearest tenth of a
unit and angle measures to the nearest degree.  Diagram not drawn to scale.
 , b =
19, a = 23.5
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10.
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What is the vertex of  ? A | (5, 4) | C | (–5, 4) | B | (–4, 5) | D | (7, –4) |
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11.
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What information can be determined from the quadratic function  ? A | the vertex is at (–2, –9) and the graph opens upward | B | the vertex is at
(–9, –2) and the graph opens downward | C | the vertex is at (–2, –9) and the
graph opens downward | D | the vertex is at (–9, –2) and the
graph opens upward |
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12.
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What are the coordinates of the vertex of the quadratic function  ? A | (–6, –1) | C | (–1, –6) | B | (8, –2) | D | (8, –6) |
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13.
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Solve  . A | 1 +  and 1 -  | C |  | B | –1 +  and –1 -  | D |  |
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14.
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The roots, to the nearest hundredth, of  are A | 7.91 and 1.29 | C | 3.95 and 0.64 | B | 1.98 and 0.32 | D | –3.95 and
–0.64 |
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15.
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A rectangle with an area of  is x centimetres wide and
( x + 8) centimetres long. To the nearest tenth of a centimetre, the width and length
are A | 50.0 cm and 50.0 cm | C | 46.2 cm and 54.2 cm | B | –46.2 cm and –54.2
cm | D | –14.0 cm and 114.0
cm |
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16.
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Simplify the expression  (  ) + 
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17.
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Express  in simplest form.
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18.
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A radical expression is being simplified. In which step of the process was an
error made?  A | Step A | C | Step C | B | Step D | D | Step B |
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19.
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Simplify  .
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20.
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Simplify the rational expression  .
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21.
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When fully simplified,  is equal to
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22.
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Courtney and Kurtis are planning to travel 60 km in a car by travelling at
x kilometres per hour for the first half of the distance, and then increasing their speed by 5
km/h to finish the distance. Which is the correct simplified expression for the total time of the
trip?
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23.
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What is the exact solution to the equation  
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24.
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Solve  . A | x = –3 and x = –2 and x = 8 | C | x = 4 and
x = –8 and x = –8 | B | x = –4 and x =
8 | D | x =  |
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25.
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Solve  . A | x = 18 and x = –3 | C | x =  and x =
 | B | x = –18 and x = 3 | D | x = –144 and x =
24 |
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26.
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Determine the future value of a simple interest
investment with a 4-year term on a principal of $400 at 1.9%.
A | $407.60 | B | $460.80 | C | $404.00 | D | $430.40 |
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27.
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Freda has $14 000 to invest for 10 years. Which
investment option will earn her more interest? How much more interest?
A. 2.5% simple
interest, paid daily
B. 1.25% compound interest, paid annually
A | Option A: $1648.21 | B | Option B: $1335.96 | C | Option A:
$1524.91 | D | Option B:
$1798.50 |
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28.
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This portfolio was started 3 years ago. What is the
current value of the portfolio?
• A $1200 GIC that earns 2.65%, compounded
quarterly
• Monthly deposits of $250 into an account earning 1.75%, compounded
monthly
A | $10 532.48 | B | $10 780.55 | C | $11
021.88 | D | $11 235.58 |
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29.
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Cormac wants to pay off all his debts in 4 years.
He has two credit cards on which he makes monthly payments:
• Card A has a balance of
$3002.91 and an interest rate of 17.6%, compounded daily.
• Card B has a balance of $4712.01
and an interest rate of 15.9%, compounded daily.
Cormac wants to consolidate his debts into a line
of credit with an interest rate of 8.9%, compounded monthly. How much will Cormac save by
consolidating his debts?
A | $1420.32 | B | $29.59 | C | $1488.46 | D | $2908.70 |
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30.
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The graph of  is
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A sports store makes a profit of $50 on every pair of cross-country skis sold
and $125 on every set of snowshoes sold. The manager’s goal is to have a profit of at least
$700 a day from the sales of these two items.
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31.
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If x represents the number of pairs of cross-country skis sold and
y represents the number of pairs of snowshoes sold, what inequality models the combinations of
ski and snowshoe sales that will meet or exceed the daily profit goal?
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32.
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The solution set to the inequality  is
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33.
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Which graph represents the solution to the inequality  ?
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34.
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Which graph represents the solution to the inequality  ?
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35.
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Which quadratic inequality is represented by the graph shown below? 
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Short Answer
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For each arithmetic sequence, determine
a) the value of
t1 and d
b) an explicit formula for the general term
c)
t20
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1.
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3a, 3a – 2b, 3a –
4b, 3a – 6b, …
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Determine whether each sequence is geometric, arithmetic, or neither. Justify
your answer.
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2.
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0.0005, 0.005, 0.05, 0.5, …
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3.
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A rectangle has a diagonal of 8 cm. The diagonal creates a 60° angle at the
base of the rectangle.
a) Write an exact expression for the base and the height of the
rectangle.
b) Use your expressions to find the exact area of the rectangle.
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4.
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A tennis ball follows a path described by the function h( d) =  ( d – 12) 2 + 2, where h is the height of the ball above the
court and d is the horizontal distance of the ball from the tennis player, both in metres. How
high above court level did the tennis player hit the ball?
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5.
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Factor the quadratic  completely.
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Simplify each expression and state any non-permissible values.
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6.
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7.
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Without using a calculator, arrange the following in order from least to
greatest. a)  b) 
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Determine if the function f(x) is the simplified form of g(x). If it is,
state the non-permissible values. If it is not, determine the
corrected simplified form, including the non-permissible values.
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8.
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9.
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Robyn purchased supplies for her business for $9900
plus a shipping charge of $770. She wants to pay off her debt in 2 years by making regular monthly
payments. She has two different credit options:
• Finance the purchase through the store at
17.4%, compounded daily, and as an incentive the store will pay the shipping charge.
• Use
her credit card which charges 12.6%, compounded daily.
What is the total cost of the cheaper
option?
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10.
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Which of the given ordered pairs belong to the solution to the inequality  ?
Use a graph of the inequality to show your reasoning in each case.   .
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