Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Determine the cube root of 729m3.
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2.
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Which description about the number 225 is correct?
a. | perfect cube | b. | perfect square | c. | both a perfect cube
and a perfect square | d. | neither a perfect cube nor a perfect
square |
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3.
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What is the next number in the sequence 33, 32,
31, 30, …?
a. | –1 | c. |  | b. | 3–2 | d. | 1 |
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4.
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Jean invests $1000 in a fund. The investment doubles in value each year. The
formula A = 1000(2)n models the total value of the investment, A, in
dollars, after n years. What is the value of her investment after 7 years?
a. | $128 000 | c. | $7000 | b. | $64 000 | d. | $1000 |
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5.
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Multiply and simplify (x – 2)2.
a. | x2 – 2x + 4 | c. | x2 +
4 | b. | x2 – 4x + 4 | d. | x2 –
4 |
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6.
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Which of the following expressions is the factored form of 3x(y +
1) + 4z(y + 1)?
a. | (3x + 4z)(y + 1) | c. | (3x + 1)(4z +
y) | b. | (3x + y)(4z + 1) | d. | (3xy + 1)(4z +
1) |
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7.
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The factored form of the expression 24t – 168 is
a. | –24(t – 7) | c. | 24(t –
7) | b. | –24(t + 7) | d. | 24(t + 7) |
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8.
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The area of a classroom door is represented by the equation A =
36z2 + 3600z. When the expression is factored fully, the factors are the
dimensions of the door. What are the actual height and width of the door if z = 5 cm?
a. | 180 cm by 105 cm | c. | 160 cm by 120 cm | b. | 170 cm by 100 cm | d. | 150 cm by 110
cm |
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9.
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Identify the factored form of x2 – 10x +
16.
a. | (x – 5)(x – 5) | c. | (x – 2)(x
– 8) | b. | (x – 4)(x + 4) | d. | (x + 2)(x +
5) |
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10.
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What is the factored form of 72 + 27x + x2?
a. | (x + 12)(x + 6) | c. | (x + 3)(x +
24) | b. | (x + 9)(x + 8) | d. | (x + 2)(x +
3) |
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11.
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Which expression is an example of a difference of squares?
a. | x2 – 21 | c. | 9x –
64 | b. | 4x + 16 | d. | 25x2 – 81 |
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12.
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Which expression is equal to (a – b)2?
a. | a2 – ab + b2 | c. | a2 + ab + b2 | b. | a2
– 2ab + b2 | d. | a2 + 2ab +
b2 |
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Use the graph to answer the question(s) that follow.The graph
shows how the speed of a skier changes over time as she goes down the slope of a
mountain.
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13.
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Which statement describes what is happening to the skier as she moves from point
C to point D on the graph?
a. | The skier is slowing down and has stopped. | b. | The skier is
travelling at a constant speed. | c. | The skier has reached her maximum
speed. | d. | The skier is increasing speed at a constant rate. |
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14.
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Which statement describes what is happening to the skier from the start of the
graph to point B on the graph?
a. | The skier is slowing down and has stopped. | b. | The skier is
travelling at a constant speed. | c. | The skier has reached her maximum
speed. | d. | The skier is increasing speed at a constant rate. |
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15.
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Which of the following represent(s) a non-linear relation?
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16.
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Which of the following line segments have a negative slope?  a. | line segments AB and IJ | c. | line segments EF and
KL | b. | line segments CD and GH | d. | line segments IJ, GH, and KL |
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17.
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In the equation of a line, y = mx + b, the
y-intercept is represented by the letter
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18.
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What are the slope and y-intercept of this line?  a. | slope: –2, y-intercept: –1 | c. | slope: 2, y-intercept:
–1 | b. | slope: –2, y-intercept: 1 | d. | slope: 2, y-intercept:
1 |
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19.
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Identify the equation in general form for the line with slope 3 and
y-intercept –4.
a. | 3x – y – 4 = 0 | c. | 3x + y – 4 =
0 | b. | 3x – y + 4 = 0 | d. | 3x + y + 4 =
0 |
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20.
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Points G(–3, 8) and H(0, 5) are on a line. Which equation represents a
line that is parallel to this line?
a. | y = 2x – 8 | c. | y = –x +
5 | b. | y = x – 5 | d. | y = –2x +
8 |
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21.
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Identify the ordered pair that is the solution to the linear system 2x
– y = 2 and 2x + y = 6.
a. | (1, 1) | c. | (3, 3) | b. | (2, 2) | d. | (4, 4) |
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Answer the following question(s) using the information from the scenario
below.
FunNGames Video rents game machines for $10 and video games for $3 each. Big Vid
rents game machines for $7 and video games for $4 each. Let y represent the total rental cost,
in dollars, and let x represent the number of games rented.
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22.
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Which system of linear graphs represents this situation?
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Answer the following question(s) using the information from the scenario
below.
Katrin is looking at banquet halls for her parents’ anniversary party.
Moonlight Hall charges a fixed cost of $1000 plus $75 per guest. Riverside Hall charges $1500 plus
$50 per guest. Let C represent the total cost, in dollars, and let n represent the
number of guests.
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23.
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Identify the system of linear equations that represents this situation.
a. | Moonlight: C = 50n + 1000
Riverside: C = 75n +
1500 | c. | Moonlight: C = 1000 – 75n
Riverside: C = 1500 –
50n | b. | Moonlight: C = 75n + 1000
Riverside: C = 50n +
1500 | d. | Moonlight: C =
1500 – 75n
Riverside: C = 1000 –
50n |
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24.
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If the following linear system has an infinite number of solutions, what is the
value of B?
y = –3x + 6
By – 9x + 18 = 0
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25.
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Which of the following ordered pairs represents the solution to the linear
system y = x – 4 and –7x – y = 36?
a. | (–8, –4) | c. | (4, –8) | b. | (–4, –8) | d. | (8, –4) |
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26.
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What is the solution to the linear system –10x + y =
–2 and –8x – y = –16?
a. | (–1, –8) | c. | (1, –8) | b. | (–1, 8) | d. | (1, 8) |
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27.
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Doris buys old lamps at the flea market and restores them to sell in her antique
shop. It costs her $506 to rent a truck and $23 for each lamp she buys. She plans to charge $69 for
each lamp. How many lamps must she sell for her costs to equal her revenue?
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28.
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The sum of three integers is –25. The first integer is four times the sum
of the second and third. The second is twice the opposite of the third. What are the integers?
a. | –20, –10, 5 | c. | –20, –10,
–5 | b. | –10, 5, 20 | d. | –20, 5, 10 |
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29.
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Evaluate tan 45°.
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30.
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If sin A = 0.7986, determine the measure of  A, to the nearest
degree.
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31.
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Determine the measure of  R, to the nearest degree. 
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32.
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The length of side x, to the nearest tenth of a metre, is  a. | 16.4 m | c. | 25.5 m | b. | 19.3 m | d. | 30.0 m |
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33.
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How long is 2 m in feet and inches? Express your answer to the nearest
inch.
a. | 0' 79" | c. | 6' 0" | b. | 7' 9" | d. | 6' 7" |
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34.
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Identify the length, to the nearest hundredth of a metre, that is equal to 6
ft.
a. | 1.83 m | c. | 22.86 m | b. | 2.36 m | d. | 6.56 m |
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35.
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It is 851 km from Whitehorse to Inuvik. How long would it take to fly from
Whitehorse to Inuvik in a de Havilland Beaver at a speed of 143 mph, if you did not have to stop to
refuel?
a. | 3.7 h | c. | 16.8 h | b. | 6.0 h | d. | 27.0 h |
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36.
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Jean is travelling in the United States. A road sign indicates she is 393 mi
from her destination. To the nearest kilometre, how far is Jean from her destination?
a. | 155 km | c. | 633 km | b. | 244 km | d. | 998 km |
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37.
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Calculate the surface area of the right prism.  a. | 6 cm2 | c. | 28 cm2 | b. | 22 cm2 | d. | 36
cm2 |
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38.
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Calculate the surface area of the right cylinder, to the nearest square
foot.  a. | 93 ft2 | c. | 48 ft2 | b. | 68 ft2 | d. | 23
ft2 |
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39.
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To the nearest tenth of a metre, calculate the height of a right cylinder with
radius 3.3 m and surface area 263 m2.
a. | 7.7 m | c. | 18.8 m | b. | 9.4 m | d. | 22.1 m |
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40.
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Determine the radius of a sphere with volume 82.4 yd3. Express the
answer to the nearest tenth of a yard.
a. | 6.6 yd | c. | 4.3 yd | b. | 4.4 yd | d. | 2.7 yd |
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Short Answer
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1.
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What is special about the expression n2 – 81?
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2.
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Write the slope-intercept form of the equation of the line with slope 3 and
y-intercept 2.
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3.
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Use the substitution method to solve each linear system.
a) x
– 2y = 7
y = –x + 1
b) x + 3y =
5
–2x + y = 4
c) –x + 3y + 1 = 0
3x
– y + 1 = 0
d) 4x – 3y = –13
–2x +
y = 4
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4.
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A computer game disk with the handbook needs a box 19 cm by 14 cm by 1.5 cm in
size. What is the total amount of plastic wrapping needed to cover the entire box if 66
cm2 is needed to allow for the overlapping at the edges?
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Problem
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1.
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Matthew’s pay increases by 10% every month. If his first pay is $400,
determine the amount of his pay in month 6.
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2.
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For safety reasons, scuba divers need to be aware of the pressure as they dive.
At a depth of 4 m, the pressure is 140 kPa (kilopascals). At 9 m, it is 190 kPa.
a) Plot
the coordinates (d, p) on a grid, where d is depth, in metres, and p is
pressure, in kilopascals. Draw a line through the points.
b) Identify the slope and the
p-intercept. Describe what these values represent.
c) At what depth is the pressure
double that at the surface?
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3.
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An amusement park charges one admission price for adults and another admission
price for children under 12. The Smoke family has two adults and three children under 12. The cost
for their admission to the amusement park is $80. The Chalmers family has three adults and one child
under 12. Their total admission cost is $99. What is the admission price for an adult and the
admission price for a child?
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4.
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José is sitting in a tree, so that his eyes are 3.2 m above the ground.
When he looks down at an angle of depression of 43°, he can see his cat sitting in the yard.
a) Draw a diagram of the situation.
b) Determine the horizontal distance, to the
nearest tenth of a metre, from the base of the tree to José’s cat.
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Use the table of conversion factors to help answer the following
questions.
Imperial Unit | SI Unit | 1 in. | 2.54 cm | 1 ft | 0.3048
m |
1 yd | 0.9144 m |
1 mi | 1.609 km | | |
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5.
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A unit at Safe Self Storage has length 4.6 m, width 3.1 m, and height 2.4
m. What is the volume of the storage unit, to the nearest cubic foot?
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