Multiple Choice
Identify the
choice that best completes the statement or answers the question.
|
|
|
1.
|
Evaluate  .
|
|
|
2.
|
Simplify  .
|
|
|
3.
|
What values of x can be substituted into the equation y =
8x?
a. | x can be any number greater than 0 | c. | x can be any
number | b. | x can be any number greater than 8 | d. | x can be any number less than
0 |
|
|
|
4.
|
Determine the value of y in the equation y =  when x
= 10. Leave your answer in simplest radical form if necessary.
|
|
|
5.
|
The surface of Aaron’s computer desk has a width equal to 2x
– 4 and a length equal to 2x – 2. What equation represents the area of the surface
of the computer desk?
a. | A = 4x2 + 4x + 8 | c. | A = 4x2 +
12x + 8 | b. | A = 4x2 – 4x + 8 | d. | A = 4x2 –
12x + 8 |
|
|
|
6.
|
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) |
|
|
|
7.
|
What is the factored form of the expression 5x2 –
55?
a. | 5x2(x – 11) | c. | 5x(x2
– 11) | b. | 5x(x – 11) | d. | 5(x2 –
11) |
|
|
|
8.
|
What is the least common multiple of the terms yx, xyz, and
xw?
|
|
|
9.
|
Which of the following pairs of integers has a product of 33 and a sum of
14?
a. | 11 and –3 | c. | 11 and 3 | b. | –11 and 3 | d. | –11 and
–3 |
|
|
|
10.
|
Which of the following pairs of integers has a product of 63 and a sum of
–16?
a. | 7 and 9 | c. | –7 and –9 | b. | 7 and
–9 | d. | –7 and
9 |
|
|
|
11.
|
Which expression is an example of a difference of squares?
a. | x2 – 21 | c. | 9x –
64 | b. | 4x + 16 | d. | 25x2 – 81 |
|
|
|
12.
|
Which expression is not an example of a difference of squares?
a. | 225 – 100x2 | c. | 36x2 –
49 | b. | 64 – 16x2 | d. | 9x2 –
181 |
|
|
|
13.
|
The graph shows the number of fans for each team who attended basketball games
during the playing season. Which of the following describes the changes in attendance?  a. | The Slicers’ attendance is the same as the Lizards’
attendance. | b. | The Slicers’ attendance is increasing while the Lizards’ attendance is
decreasing. | c. | The Slicers’ attendance is decreasing while the Lizards’ attendance is
increasing. | d. | The Slicers’ overall attendance is greater than the Lizards’ overall
attendance. |
|
|
|
14.
|
Which graph represents the relation y = 2x2
– 3?
|
|
|
15.
|
Which relation has a graph that will satisfy the vertical line test?
|
|
|
16.
|
The table represents a linear function. What is the missing
value?
|
|
|
17.
|
When a linear equation is written in the form Ax + By + C =
0, A and B cannot both be
a. | fractions | c. | one | b. | integers | d. | zero |
|
|
|
18.
|
What is the value of p such that the line passing through (6, 2) and (9,
p) has a slope of –1?
|
|
|
19.
|
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 |
|
|
|
20.
|
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 |
|
|
|
21.
|
What is the equation for the relation  in the form y = mx +
b?
|
|
|
22.
|
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) |
|
|
|
23.
|
Identify the linear system to which the ordered pair (2, 1) is a
solution.
a. | 2x + y = 3
x + 2y = 3 | c. | 3x + 4y =
2
2x + 5y = 7 | b. | 2x + 3y = 7
3x +
2y = 8 | d. | 3x +
2y = 7
x + 2y = 4 |
|
|
|
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.
|
|
|
24.
|
What are the coordinates of the solution?
a. | (20, 2500) | c. | (–20, 2500) | b. | (20, 0) | d. | (–20, 0) |
|
|
|
25.
|
Use the substitution method to determine the solution to the linear system
y = 4x + 34 and y = –2x – 26.
a. | (–10, –6) | c. | (–10, 6) | b. | (–6, –10) | d. | (10, –6) |
|
|
|
26.
|
What is the solution to the linear system 7x – 9y = 25 and
–3x – 7y = –65? Use the elimination method.
a. | (10, –5) | c. | (–10, –5) | b. | (–10,
5) | d. | (10,
5) |
|
|
|
27.
|
Use the elimination method to determine the solution to the linear system
–4x – 9y = –42 and –9x + 9y = –36.
a. | (–6, 2) | c. | (6, 2) | b. | (–6, –2) | d. | (6, –2) |
|
|
|
28.
|
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 |
|
|
|
29.
|
Evaluate cos 76°, to four decimal places.
a. | 0.0107 | c. | 0.9703 | b. | 0.2419 | d. | 1.8243 |
|
|
|
30.
|
In  , BC = 48 cm and sin A = 0.96. Determine the length of AC,
to the nearest centimetre.
 a. | 14 cm | c. | 25 cm | b. | 24 cm | d. | 50 cm |
|
|
|
31.
|
Determine the measure of  R, to the nearest degree. 
|
|
|
32.
|
Determine the measure of  , to the nearest degree. 
|
|
|
33.
|
What is Canada’s official measurement system?
a. | avoirdupois system | c. | SI system | b. | imperial system | d. | US system |
|
|
|
34.
|
The basic unit of length in the SI system is the
a. | centimetre | c. | metre | b. | kilometre | d. | millimetre |
|
|
|
35.
|
A non-standard measuring unit that you choose to use is called a(n)
a. | caliper | c. | metre | b. | instrument | d. | referent |
|
|
|
36.
|
The school gymnasium floor needs to be resurfaced. Hardwood flooring costs $5.75
per square foot plus $2.25 per square foot for installation. The gym measures 67 m by 66 m. At this
rate, how much will it cost to buy and install the hardwood flooring, to the nearest dollar?
a. | $380 784 | c. | $318 384 | b. | $273 689 | d. | $107 096 |
|
|
|
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 | | |
|
|
|
37.
|
What is the area of a ceramic tile that measures 12 in. by 12 in., to the
nearest tenth of a square centimetre?
a. | 92.9 cm2 | c. | 929.0 cm2 | b. | 365.8 cm3 | d. | 4389.1
cm3 |
|
|
|
38.
|
Determine the length of the base of a square-based pyramid with volume 57.6
cm3 and height 75 mm.
a. | 1.5 cm | c. | 4.8 cm | b. | 2.7 cm | d. | 7.1 cm |
|
|
|
39.
|
Determine the surface area of the right cone, to the nearest square
centimetre.  a. | 120 cm2 | c. | 217 cm2 | b. | 189 cm2 | d. | 245
cm2 |
|
|
|
40.
|
To the nearest cubic metre, determine the volume of a right cone with radius 3 m
and height 5.5 m.
a. | 17 m3 | c. | 69 m3 | b. | 52 m3 | d. | 156
m3 |
|
Short Answer
|
|
|
1.
|
Apply the distributive property to simplify (5x2 +
10y2)2.
|
|
|
2.
|
What is an equation for the line that passes through points (–1, –2)
and (3, 4)?
|
|
|
3.
|
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  ?
|
|
|
4.
|
Erin jogs 12 times around the block each morning to stay fit. The block measures
648 ft by 324 ft. a) What is the perimeter of the
block?
b) How many yards does Erin jog each
morning?
|
Problem
|
|
|
1.
|
What is the area of the rectangle shown, if x = 4? Express the answer as
a mixed radical and then to two decimal places. 
|
|
|
2.
|
Points Q(5, –15) and P(0, –10) are on a line.
a) Plot
points Q and P and draw a line through them.
b) Determine the rise from point Q to point
P.
c) Determine the run from point Q to point P.
d) Determine the slope of the
line.
|
|
|
3.
|
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?
|
|
|
4.
|
A submarine is travelling parallel to the surface of the ocean at a depth of 626
m. It begins a constant ascent in order to reach the surface after travelling a distance of 4420 m.
The ascent takes 35 min.
a) What angle of ascent, or angle of elevation, would the
submarine need to make to reach the surface in 4420 m? Answer to the nearest degree.
b) How
far did the submarine travel horizontally during its ascent to the surface? Answer to the nearest
metre.
c) Determine the horizontal speed of the submarine during its ascent. Give your
answer to the nearest metre per second.
|
|
|
5.
|
A cylindrical fence post has diameter 6 in. and length 8 ft. The fence post is
placed 2 ft into the ground. Determine the exposed area of the post to be painted. Express your
answer to the nearest tenth of a square foot.
|