Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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What is the area of a square with sides of length 7.6 cm?
a. | 7.6 cm2 | c. | 30.4 cm2 | b. | 15.2 cm2 | d. | 57.76
cm2 |
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2.
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What is the value of  ?
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3.
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Eric deposits $0.01 into a bank account that doubles the amount of money in the
account every year. After 1 year the value of the account is $0.02, and after 2 years it is $0.04.
What will the value of the account be after 12 years?
a. | $0.24 | c. | $81.92 | b. | $40.96 | d. | $167 772.16 |
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4.
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Express  as an equivalent mixed radical.
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5.
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Multiply and simplify (x – 7)2.
a. | x2 – 7x + 49 | c. | x2 +
49 | b. | x2 – 14x + 49 | d. | x2 –
49 |
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6.
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Melanie’s bedroom floor has a width equal to 3x + 6 and a length
equal to 4x – 7. What equation represents the area of the floor?
a. | A = 12x2 + 45x – 42 | c. | A =
12x2 – 45x – 42 | b. | A = 12x2 + 3x
– 42 | d. | A =
12x2 – 3x – 42 |
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7.
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What is the least common multiple of the terms yx, xyz, and
xw?
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8.
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The area of a rectangular school gym floor is represented by the equation
A = 120x2 + 1800x. When the expression is factored fully, the factors
are the dimensions of the floor. The dimensions of the floor are
a. | 12x by x + 15 | c. | 60x by 2x +
30 | b. | 12x by 10x + 15 | d. | 120x by x +
15 |
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9.
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The area, in metres, of a rectangle is x2 – 10x
– 75. When the expression is factored fully, the factors are the dimensions of the rectangle.
Determine the actual dimensions, in metres, of the rectangle when x = 25.
a. | 10 m by 30 m | c. | 25 m by 35 m | b. | 20 m by 40 m | d. | 30 m by 45 m |
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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 not an example of a difference of squares?
a. | 225 – 100x2 | c. | 36x2 –
49 | b. | 64 – 16x2 | d. | 9x2 –
181 |
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12.
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Which expression is equivalent to x2 – 18x +
81?
a. | (x + 9)2 | c. | (x + 9)(x +
9) | b. | (x – 9)2 | d. | (x – 9)(x +
9) |
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13.
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The graph shows the number of fans for each team who attended basketball games
during the playing season. Which team’s attendance is changing at a rate that is not
constant?  a. | Both teams | c. | Neither team | b. | Lizards | d. | Slicers |
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14.
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Which scenario can be represented by a discrete relation?
a. | the acceleration a person experiences on the way down a water
slide | b. | the distance travelled by a car travelling at a constant speed | c. | the population
changes of your school over a 5-year period | d. | the speed of a sky-diver from the time the
diver jumps out of a plane to when the diver lands on the ground |
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15.
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Use set notation to state the range of this function. 
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16.
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Compare the values in the two tables to determine which statement is not
true. 
 a. | Line A has a positive slope. | b. | Line B has a negative
slope. | c. | Line A and line B have the same slope. | d. | Line A and line B have the same domain and
range. |
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17.
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Points C(5, 7) and D(–3, –12) are on a line. What is the run from
point D to point C?
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18.
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What is the value of p in the equation of the line px + 2y
+ 8 = 0, such that the x-intercept is 4?
a. | 2 | c. |  | b. |  | d. | –2 |
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19.
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What is the equation of the line that is perpendicular to the line y =
–3x + 2 and passes through (3, –1)?
a. | y =  x | c. | y = – x | b. | y =  x –
2 | d. | y = – x – 2 |
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20.
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The equation of line A is y = 2x.
The equation of line B is
y = –2x.
The equation of line C is y = 2x + 2.
The equation
of line D is y = 2x – 2.
Which lines are parallel to line A?
a. | line B only | c. | line C and line D | b. | line B and line D | d. | line B, line C, and line
D |
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21.
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Identify which of the following linear systems has the solution (5, 0).
a. | 3x + 4y = 15
x + y = 5
3x – 3y
– 15 = 0 | c. | 2x + y = 10
2x – y = –2
3x +
2y = –10 | b. | 2x + 3y = 5
x –
4y = –14
y = 5 – x | d. | x + 4y = 3
2x +
5y = 3
4x + y – 20 = 0 |
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22.
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Which of the following linear systems has the ordered pair (1, 1) as a
solution?
a. | 3x + 2y = 3
5x + y = 4 | c. | 8x + y =
7
14x – 12y = 0 | b. | 7x + 2y = 9
2x +
7y = 9 | d. | 8x
– 2y = 4
6x + y = 5 |
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23.
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Translate the statement “eight less than five times a number is two less
than three times the number” into an equation.
a. | 5x – 8 = 3x – 2 | c. | 5x + 8 = 3x –
2 | b. | 5x – 8 = 2 – 3x | d. | 5x + 8 = 2 +
3x |
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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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24.
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Identify the statement that best describes the solution to this linear
system.
a. | It always costs more to use the Moonlight Hall. | b. | It always costs more
to use the Riverside Hall. | c. | When there are 20 guests attending, the price
is $2500. | d. | When there are 20 guests attending, the price is less at the Moonlight
Hall. |
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25.
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Suki makes and sells denim jackets in a small store at the mall. The store rent
is $520 per month. Materials cost $24 per jacket. If Suki charges $96 for each jacket, how many must
she sell in one month for her revenue to exceed her costs?
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26.
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The sum of two numbers is 175 and their difference is 1. What are the two
numbers?
a. | 88 and –87 | c. | –88 and 87 | b. | 88 and 87 | d. | –88 and
–87 |
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27.
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Charlene makes two types of quilts. For the first type, she charges $47.25 for
material and $52.5/h for hand quilting. For the second type, she charges $189 for material and $21/h
for machine quilting. For what number of hours are the costs for each type of quilt the same?
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28.
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The student council plans to have a barbecue lunch for the whole school to
celebrate its victory in the volleyball finals. They need a total of 427 hot dogs and hamburgers. Hot
dogs cost $0.25 each and hamburgers cost $0.80 each. They have a budget of $203 for the event. How
many of each should the school council buy?
a. | 203 hot dogs and 224 hamburgers | c. | 252 hot dogs and 175
hamburgers | b. | 175 hot dogs and 252 hamburgers | d. | 224 hot dogs and 203
hamburgers |
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29.
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In  , AB = 8 cm and BC = 11 cm. Determine the tangent ratio of
 A, to the nearest thousandth.
 a. | 0.520 | c. | 1.375 | b. | 0.728 | d. | 1.536 |
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30.
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A cone just fits inside a can. The diameter of the can is 7.6 cm and the height
is 10.4 cm. Determine the angle between the vertex of the cone and the bottom of the can, to the
nearest tenth of a degree.  a. | 20.1° | c. | 69.9° | b. | 40.1° | d. | 139.9° |
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31.
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Evaluate cos 11°, to four decimal places.
a. | 0.9816 | c. | 0.1908 | b. | 0.1944 | d. | 0.0044 |
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32.
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If sin A =  , what is the measure of  , to the nearest
degree?
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33.
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What is the most appropriate SI measurement unit to use when estimating the
perimeter of this figure? a. | centimetre | c. | metre | b. | kilometre | d. | millimetre |
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34.
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Convert  in. to centimetres. Round your answer to the nearest
tenth. a. | 1.7 cm | c. | 11.0 cm | b. | 3.9 cm | d. | 14.1 cm |
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35.
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Which of the following measurements is equal to 9 yd, to the nearest
hundredth?
a. | 5.59 m | c. | 9.84 m | b. | 8.23 m | d. | 9.00 m |
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36.
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The carpet Caleigh has chosen for her new recreation room costs $8.50 per square
metre. The room measures 20 ft by 18 ft. To the nearest dollar, how much will it cost Caleigh to
carpet this room?
a. | $284 | c. | $3060 | b. | $933 | d. | $32 938 |
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37.
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A circular swimming pool has a diameter of 8.6 m. It is filled with water to a
height of 1.6 m. How much water is in the pool, to the nearest hundred litres? Hint: 1000 L = 1
m 3.  a. | 99 900 L | c. | 93 800 L | b. | 98 500 L | d. | 92 900 L |
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38.
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Which formula can be used to calculate the volume of a right cylinder?
a. | V = pr2h | c. |  | b. | V = pr3h | d. |  |
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39.
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Calculate the volume of a sphere with radius 2.8 ft, to the nearest cubic
foot.
a. | 23 ft3 | c. | 69 ft3 | b. | 33 ft3 | d. | 92
ft3 |
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40.
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A long, thin cone has a radius of 2 cm and a height of 15 cm. The cone is filled
with soft ice cream and then topped with a hemispherical scoop of hard ice cream. Determine the total
volume of ice cream, to the nearest cubic centimetre.
a. | 96 cm3 | c. | 71 cm3 | b. | 80 cm3 | d. | 67
cm3 |
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Short Answer
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1.
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2.
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Determine the rise and the run from the first point to the second point.
a) P(2, 0) and Q(–2, 4)
b) R(–8, –5) and S(–3,
–15)
c) T(1, 1) and U(–5, –11)
d) V(10, –20) and
W(–30, 50)
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3.
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Determine the number of solutions for the following linear system by using a
graph. 3 x – 2 y = –6 
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4.
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Triangle ABC is a right triangle. Side AB is 16 cm, and side AC is 18 cm. Using
trigonometry, determine the length of BC, to the nearest tenth of a centimetre.
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5.
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What are the surface area and volume of each right cylinder, to the nearest
tenth of a unit?
a) a cylinder with radius 1 m and height 3.4 m
b) a cylinder
with radius 7.8 yd and height 2 yd
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Problem
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1.
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Kim owns a square piece of land with a side length of a metres. He
extends his property by purchasing adjacent land so that the length is increased by 10 m and the
width by 12 m. Write an algebraic expression for the area of Kim’s extended property.
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2.
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Autoking Service Centre charges for a car service according to the equation
80h – C + 50 = 0, where C is the total service cost, in dollars, for an
automobile service and h is the time, in hours, that the job takes.
a) Rewrite the
equation in the form C = mh + b.
b) Identify the slope and the
C-intercept and explain what they mean.
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3.
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The highest point in British Columbia is on Fairweather Mountain, at m
metres above sea level. The highest point in Ontario is on Ishpatina Ridge, at r metres above
sea level. The heights m and r, are related by the following system of
equations.
3m = 21r – 564
m
– r = 3970 ‚
Use the
method of substitution to determine the two heights.
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4.
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In the figure below, the hole in the end extends straight through the block.
Determine the total surface area of the block. 
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