Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Which expression is not equal to 4?
a. |  | c. | (2 +
2)0 | b. | (21)(21) | d. |  |
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2.
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Which power is equivalent to  ?
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3.
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Convert  to an equivalent mixed radical.
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4.
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Write  as a power with a single positive exponent.
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5.
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Which of the following binomial multiplication expressions does the diagram
represent?  a. | (2x + 3)(x + 3) | c. | (3x + 3)(x +
3) | b. | (2x + 3)(x + 9) | d. | (3x + 3)(x +
9) |
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6.
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The greatest common factor (GCF) for a polynomial can be
a. | a constant | b. | a constant, a variable, or a constant with a
variable | c. | a constant with a variable | d. | a variable |
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7.
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The greatest common factor (GCF) for the set of terms 30x, 45x,
60x2, and 30x2 is
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8.
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Which of the following values of k makes the trinomial
25x2 + kx + 36 a perfect square?
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9.
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Factor x2 – 49.
a. | (x + 7)(x – 7) | c. | (x + 7)(x +
7) | b. | (x – 7)(x – 7) | d. | cannot be
factored |
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10.
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Which value of k makes the trinomial 36x2 + 108x
+ k a perfect square?
a. |  | c. | 81 | b. | 324 | d. | 40.5 |
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11.
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Suppose the area of a rectangle is represented by the expression
49x2 – 100. When the expression is fully factored, the factors represent the
dimensions of the rectangle. What expressions represent the dimensions of the rectangle?
a. | 7x + 10 and 7x – 10 | c. | 7x – 10 and 7x
– 10 | b. | 7x + 10 and 7x + 10 | d. | 7 and 7x2 –
100 |
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12.
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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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13.
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Abby walks to a friend’s house at a constant rate. After visiting for a
short time, Abby and her friend start walking back to Abby’s house. On the way, they meet up
with another friend. The three girls continue to walk at a slower pace. Abby then realizes that she
is late and walks at a faster constant rate until she gets home. Which distance-time graph represents
this situation?
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14.
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Which line segment(s) in the graph has (have) a positive slope?  a. | line segment AB | c. | line segments EF, IJ, and KL | b. | line segments AB,
EF, and CD | d. | line segments
IJ, KL, and GH |
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15.
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Which line segment(s) in the graph has (have) a slope of zero?  a. | line segment GH | c. | line segments AB and EF | b. | line segments CD,
GH, and IJ | d. | line segments
AB, CD, EF, GH, and IJ |
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16.
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What is the domain of f(x) =
10x?
a. | { x | x > 0, x Î
R} | c. | {
x | x Î R} | b. | { x |
x > 10, x Î R} | d. | { y | y Î R} |
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17.
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Which equation represents the line containing points M and N?  a. | y = –4x – 3 | c. | y =  x
– 3 | b. | y =  x – 3 | d. | y = 4x –
3 |
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18.
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The equation 3x – 6y – 2 = 0 in slope-intercept form
is
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19.
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The equation of the line through the point (2, 3) with slope –2 is
a. | y = –2x + 7 | c. | y = –2x +
1 | b. | y = –2x + 3 | d. | y = –2x –
1 |
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20.
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What is the equation of the line that passes through point G(–4, 6) and
has a slope of -3?
a. | y = –3x – 6 | c. | y = 3x –
6 | b. | y = –3x + 6 | d. | y = 3x + 6
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21.
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Which of the following ordered pairs solves the linear system 2(x –
4) + y = 6 and x = y – 2?
a. | (4, –6) | c. | (–1, –2) | b. | (4, 6) | d. | (–1, 2) |
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22.
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What is the solution to the linear system 4x + 2y = 8 and
2x + 2y = 2?
a. | (–3, 2) | c. | (2, –3) | b. | (–2, 3) | d. | (3, –2) |
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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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24.
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How many solutions are there for the linear system x – y =
–5 and x + y = 1?
a. | 0 | c. | 2 | b. | 1 | d. | an infinite
number |
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25.
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Use the substitution method to determine the solution to the linear system
y = –3x + 22 and y = –6x + 49.
a. | (9, –5) | c. | (9, 5) | b. | (–5, 9) | d. | (–9,
–5) |
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26.
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A charity ball costs $2700 for the banquet hall rental plus $50 per person for
food. If tickets to the event are $90 each, how many tickets must be sold before the organizers start
to make a profit?
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27.
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What is the solution to the linear system 4x – y = 5 and
–x + y = 1?
a. | (–2, –1) | c. |  | b. |  | d. | (2, 3) |
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28.
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Use the elimination method to determine the solution to the linear system
10x + y = 42 and 2x – 8y = 74.
a. | (–5, –8) | c. | (5, –8) | b. | (–5, 8) | d. | (5, 8) |
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29.
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A surveyor, S, is measuring the width of a street, using a marker, M. The
surveyor cannot measure the width directly, because there is too much traffic. She stands on the east
side of the intersection. The marker is on the west side of the intersection, and is 18 m north of
the intersection. Determine the width of the street, to the nearest tenth of a
metre.  a. | 36.9 m | c. | 13.1 m | b. | 24.8 m | d. | 8.8 m |
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30.
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The ratio of vertical distance to horizontal distance for a flight of steps is
3m to 4m. Determine the angle that the steps make with the ground, to the nearest degree.
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31.
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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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32.
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In  , BC = 12 cm and tan  . What is the area of  ,
to the nearest square centimetre?  a. | 144 cm2 | c. | 42 cm2 | b. | 84 cm2 | d. | 21
cm2 |
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33.
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Which of the four imperial length units listed below is the smallest?
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34.
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This quarter is approximately 2.5 cm wide. Estimate how long the line is using
the quarter as a referent.  ________________________________ a. | 5.0 cm | c. | 10.0 cm | b. | 7.5 cm | d. | 12.5 cm |
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35.
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A tire has a diameter of 3 ft. How many times will it rotate in order to roll
across a field that is 180 yd long? Round your answer to the nearest tenth, if necessary.
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36.
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If the total surface area of a cube is 1156 cm2, what is the surface
area of each face of the cube, to the nearest tenth of a square inch?
a. | 192.7 in.2 | c. | 13.9 in.2 | b. | 29.9 in.2 | d. | 5.5
in.2 |
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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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A right rectangular prism has a surface area of 1138 mm2. It has
length 22 mm and width 17 mm. Determine the height of the prism.
a. | 10 mm | c. | 5 mm | b. | 8 mm | d. | 3 mm |
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39.
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Determine the volume of a right cone with diameter 3.4 in. and height 10.8 in.
Express the answer to the nearest cubic inch.
a. | 33 in.3 | c. | 131 in.3 | b. | 98 in.3 | d. | 523
in.3 |
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40.
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To the nearest tenth of a centimetre, what is the radius of a right cone with
volume 4353 cm3 and height 18 cm?
a. | 15.2 cm | c. | 6.1 cm | b. | 8.8 cm | d. | 5.1 cm |
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Short Answer
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1.
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The weather forecast calls for 11 cm of snow. How many inches can you expect, to
the nearest tenth?
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2.
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What is the volume of each object? Express the answer to the nearest tenth of a
cubic unit where necessary. a)
b) 
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3.
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Juanita is helping build a wheelchair ramp at her community centre. The ramp
must reach a vertical distance of 1.5 m. If the ramp must make an angle of 6° with the ground,
how long will the ramp be? Answer to the nearest tenth of a metre.
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4.
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What is  expressed as a radical with positive exponents?
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5.
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Apply the distributive property to simplify (5x2 +
10y2)2.
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6.
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Use the graph to answer parts a) to d).  a) Identify
the coordinates of points C and D. b) Identify the rise from point C to point D.
c) Identify the run from point C to point D. d) Identify the slope of the line
through points C and D.
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7.
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The slopes of each pair of lines are provided. Decide whether the lines in each
pair are parallel, perpendicular, or neither. Justify your answers. a) m = 
and m =  b) m = 100 and m =
0.01
c) m = 10 and m = –0.1
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8.
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Supplementary angles are angles that have a sum of 180°. If  and 
are supplementary, and  is 32° greater than  , what are the values of
 and  ?
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9.
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Solve the following system of equations graphically. y = 3 x +
4 
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