Multiple Choice
Identify the
choice that best completes the statement or answers the question.
|
|
|
1.
|
Evaluate 0.15.
a. | 0.5 | b. | 0.001 | c. | 0.0001 | d. | 0.00001 |
|
|
|
2.
|
Which description about the number 15 625 is correct?
a. | both a perfect cube and a perfect square | b. | perfect
cube | c. | neither a perfect cube nor a perfect square | d. | perfect
square |
|
|
|
3.
|
Evaluate 20 + 2–2.
a. |  | b. | –4 | c. | 4 | d. |  |
|
|
|
4.
|
Which statement is correct about the expression  when it is
evaluated? a. | The expression is equal to 0. | b. | The sign is positive | c. | The sign is
negative | d. | The expression is undefined. |
|
|
|
5.
|
Determine the value of y in the equation y =  when x
= –2. Leave your answer in simplest radical form if necessary.
|
|
|
6.
|
Express  as an equivalent radical.
|
|
|
7.
|
Which of the following expressions is equal to (x + 5)(x +
7)?
a. | x2 + 12x + 35 | b. | x2 + 35x +
35 | c. | x2 + 35x + 12 | d. | x2 + 5x +
35 |
|
|
|
8.
|
Factor x2 – 169.
a. | (x + 13)(x – 13) | b. | (x + 13)(x +
13) | c. | cannot be factored | d. | (x – 13)(x –
13) |
|
|
|
9.
|
What expression is equivalent to 9m2 – 48m +
64?
a. | (3m + 8)2 | b. | (3m –
4096)2 | c. | (3m –
8m)2 | d. | (3m –
8)2 |
|
|
|
10.
|
What is the least common multiple of the terms  ,  , and
 ?
|
|
|
11.
|
What is the factored form of  ?
|
|
|
12.
|
Which multiplication statement is represented by the algebra tiles
below? 
|
|
|
13.
|
Which of the following represent(s) a linear
relation?
A | | B | x | y | | x | y | –5 | 2 | | –5 | 2 | –2 | 1 | | –7 | 0 | 1 | 0 | | –9 | –2 | 4 | –1 | | –11 | –6 | 7 | –2 | | –13 | –8 | | | | | |
C | | D | x | y | | x | y | –5 | 2 | | –5 | 2 | –7 | 1 | | –6 | 5 | –9 | 0 | | –7 | 8 | –13 | –1 | | –9 | 14 | –15 | –2 | | –10 | 17 | | | | | |
a. | B, C, and D | b. | A and D | c. | A | d. | B and C |
|
|
|
14.
|
Which scenario can be represented by a continuous relation?
a. | the shoe sizes of everyone in a grade 10 mathematics class | b. | the speed of a
sky-diver from the time he jumps out of a plane to when thediver lands on the
ground | c. | the sum of rolling two dice | d. | the fees charged for parking a car in a parking
lot |
|
|
|
15.
|
The cost of a taxi ride is $6.00 plus $0.25 for every 0.5 km. Which graph
represents this relation?
|
|
|
16.
|
A swimming pool is being drained. The table shows the volume of water, in
kilolitres, remaining after an elapsed time, in minutes. Which graph represents this
data? | Time (min) | 0 | 20 | 40 | 80 | | Volume of Water (kL) | 70 | 60 | 50 | 30 | | | | | |
|
|
|
17.
|
Use set notation to state the domain of this function. 
|
|
|
18.
|
What is the range of the relation {(4, 8), (9, 1), (1, 10), (7, 3)}?
|
|
|
19.
|
Identify the equation of the line with a slope of –2 and a
y-intercept of –9.
|
|
|
20.
|
What is the equation  in general form?
|
|
|
21.
|
When a linear equation is written in the form Ax + By + C =
0, A and B cannot both be __________.
a. | fractions | b. | one | c. | zero | d. | integers |
|
|
|
22.
|
Using the table of values, determine the equation of the line.
|
|
|
23.
|
The equation of line A is  . Which equation represents a line
that is parallel to line A?
|
|
|
24.
|
Give the equation of a line that goes through point A and is parallel to the
line shown below. 
|
|
|
Answer the following questions using the information from the scenario
below.
Globo-Gym charges a flat fee of $20 per month plus $4.00 per visit. Average
Joe’s charges a flat fee of $30 per month plus $2.00 per visit. Let x represent the
number of visits per month and let y represent the total cost per month, in dollars.
|
|
|
25.
|
What are the coordinates of the solution to this linear system?
|
|
|
26.
|
Determine the value of P that gives a linear system with an infinite
number of solutions. 
|
|
|
27.
|
What is the x-coordinate at the point of intersecton for the the linear
system  and  ?
|
|
|
28.
|
Mia works at Electronics Plus for $15.00 per day plus $1.80 commission for each
item she sells. Michael works at Techno Gadgets for $18.00 per day plus $1.50 commission for each
item he sells. How many items must each of them sell in order for Mia and Michael to make the same
amount of money in one day?
|
|
|
29.
|
A rocket is launched from an elevated platform. The height of the rocket,
h, in metres, depends on the time it has been in flight, t, in seconds, as shown by the
equation h = at2 + bt + c. After 10 s, the rocket reaches a
height of 1500 m. The height is 1700 m after 20 s and 1750 m after 200 s. What height is the rocket
launched from?
a. | a = 8, b = –245, and c = 50 | b. | a = –8,
b = 245, and c = 50 | c. | a = 8, b = 245, and c =
50 | d. | a = –8, b = –245, and c =
–50 |
|
|
|
30.
|
A school soccer field measures 35 m by 60 m. To get home more quickly, you
decide to walk along the diagonal of the field. What is the angle of your path, with respect to the
35-m side, to the nearest degree?
|
|
|
31.
|
Choose the correct formula for the cosine ratio of  .
|
|
|
32.
|
Evaluate cos 26°, to four decimal places.
a. | 0.1012 | b. | 0.4384 | c. | 0.8988 | d. | 0.4877 |
|
|
|
33.
|
What is the cosine ratio of  ?
|
|
|
34.
|
Determine the measure of  J, to the nearest degree. 
|
|
|
35.
|
If  , what is the measure of  , to the nearest
degree?
|
|
|
36.
|
Catherine works as a realtor and earns 2.75% commission on a home sale. If she
earns $19 420.34 on the sale, what was the selling price of the house?
a. | $70 619.40 | b. | $534 059.21 | c. | $53
405.92 | d. | $706 194.00 |
|
|
|
37.
|
A tutor works 3.5 hours a day, 5 days a week and earns $354.38 for the week.
What is the hourly wage for the tutor?
a. | $20.25/h | b. | $5.06/h | c. | $17.50/h | d. | $41.69/h |
|
|
|
38.
|
Cheng does odd jobs for his family and the neighbours. He keeps track of the
jobs he does on his block for the week and records them in the chart below: | Job | Hourly Pay | | Babysitting | $11.50 | | Dog Walking | $6.00 | | Car Wash | $7.50 | | Gardening | $12.00 | | Mowing Lawns | $10.50 | | |
If Cheng babysits for 4 h, walks dogs for 2 h, washes cars for 1 h,
gardens for 4 h and mows lawns for 5 h what is his income for the week. a. | $166.00 | b. | $140.50 | c. | $161.00 | d. | $142.00 |
|
|
|
39.
|
The Employment Insurance (EI) rate is 1.66% of a person’s gross pay up to
a maximum of $836.19. How much will a person pay in EI payments with an annual salary of $43
000?
a. | $713.80 | b. | $642.42 | c. | $71.38 | d. | $7.14 |
|
|
|
40.
|
Mei works at a candy store on Monday night where she earns $249.85 per month.
Mei uses this money to pay for her cell phone plan that is $42/month, a transit pass for $49/month,
and a yoga class for $50/month. If Mei wants to save $250 for a new bike, and she saves 40% of her
paycheque per month, how long will it take to save the money?
a. | 4 months | b. | 5 months | c. | 7
months | d. | 6 months |
|
Short Answer
|
|
|
1.
|
A job as a a cook is unionized with 2.25% deducted for union dues. What
was the gross salary if $1.63 was deducted?
|
|
|
2.
|
Hunter is building a playhouse for his younger brother. The roof of the
playhouse is shaped like an isosceles triangle. The diagonal trusses of the roof make an angle of
19  with the horizontal. The height of the roof is 1.7 m. How long are the diagonal trusses
AB and AC, to the nearest tenth of a metre? 
|
|
|
3.
|
In  ABC, AB is 13 cm, AC is 36 cm, and  B is 90°.
Determine the measure of  C, to the nearest degree.
|
|
|
4.
|
Factor  .
|
|
|
5.
|
Explain how the substitution method could be used to solve the following linear
system of equation: 
|
Problem
|
|
|
Use the following information to answer the next two
questions.
The string on Liam’s kite is 42 m long and makes an angle of 70°
with the ground. Liam’s friend, Lucas, is standing directly below the kite.
|
|
|
1.
|
Liam runs away from Lucas, so that the angle of elevation between Lucas and the
kite is 11°. How far apart are Liam and Lucas, to the nearest tenth of a metre?
|
|
|
Answer the next three questions using the following information:A
flight from Montreal to London is modelled by the graph below.
Flight From Montreal to
London 
|
|
|
2.
|
Describe what the graph represents.
|
|
|
3.
|
Harper works at Purse World. For one day of work she earns 10% commission on
every purse she sells, plus her daily wage of $50. Each purse sells for $60. a) Make a
table of values to represent Harper’s earnings for 0 to 5 purses sold. b) Graph
the relation.  c) Is the relation a function?
Explain. d) What is the slope of the graph? What does it
represent e) The equation  can be used to represent this
situation. How many purses does Sara have to sell to earn $194 in a day?
|
|
|
4.
|
Jackson and Isabella both launch model rockets at the same time. Jackson
launches his rocket from a building 25 m above the ground. His rocket rises at a rate of 15 m/s.
Isabella launches her rocket from ground level. Her rocket rises at a rate of 20 m/s. a)
Write an equation in the form h = mt + b for each rocket’s movement, where
h is the height, in metres, and t is the time, in seconds. b) Graph the
equations for both rockets on the same grid and determine the time when they are at the same
height.  c) If Jackson uses a different rocket that rises
at a rate of 20 m/s, when are the two rockets at the same height?
|