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 volume of a cube with edges of length 7 m?
a. | 1029 m3 | b. | 343 m3 | c. | 49
m3 | d. | 294 m3 |
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2.
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Determine the cube root of 216s3.
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3.
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What is the value of  ?
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4.
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Simplify  .
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5.
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Determine the value of y in the equation y =  when x
= –2. Leave your answer in simplest radical form if necessary.
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6.
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Which of the following is equivalent to  ?
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7.
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What is the factored form of the expression –14x + 14?
a. | –2(7x – 7) | b. | 2(7x + 7) | c. | 2(7x –
7) | d. | –2(7x + 7) |
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8.
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Which pair of integers has a product of –60 and a sum of 4?
a. | –6 and 10 | b. | –6 and –10 | c. | 6 and
10 | d. | 6 and –10 |
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9.
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The area, in metres, of a rectangle is  . 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 = 36. a. | 17 m by 58 m | b. | 41 m by 17 m | c. | 18 m by 41
m | d. | 24 m by 59 m |
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10.
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What is the factored form of  ?
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11.
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Which division statement is represented by the algebra tiles? 
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12.
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Determine the multiplication statement that is represented by the algebra tiles
below. 
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13.
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Which of the following tables of values represent(s) a linear
relation?
a. | A and D | b. | C | c. | B | d. | None of the
above. |
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14.
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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 | | | | | |
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15.
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Use set notation to state the domain of this function. 
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16.
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Evaluate  for the function  .
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17.
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The graph represents the function f( x). What is the value of  ? 
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18.
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Compare the values in the two tables to determine which statement is
true. Line A | x | y | 5 | 2 | 7 | –2 | 9 | –6 | 11 | –10 | 13 | –14 | 15 | –18 | | |
Line
B | x | y | –1 | –6 | –3 | –3 | –5 | 0 | –7 | 3 | –9 | 6 | –11 | 9 | | |
a. | Line A and Line B both have negative slopes | b. | Line A has a
negative slope and Line B has a positive slope | c. | Line A and Line B both have positive
slopes | d. | Line A has a positive slope and Line B has a negative
slope |
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19.
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The slope of the line  is
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20.
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Points C  and D  are on a line. What is the rise from point
D to C?
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21.
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Using the table of values, determine the y-intercept of the
line.
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22.
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Identify the equation of the line parallel to  and with the same
x-intercept as  .
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23.
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Points G  and H  are on a line. Which equation represents
a line that is parallel to this line?
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24.
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Give the equation of a line that goes through point A and is parallel to the
line shown below. 
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25.
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Determine the ordered pair that is a solution to the linear system 
and  .
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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.
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26.
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Which statement best describes what the solution to this linear system
represents?
a. | When 40 gym visits are made at either fitness centre, the cost is
$5. | b. | It costs more to be a member at Globo-Gym. | c. | When 5 gym visits
are made at either fitness centre, the cost is $40. | d. | It costs more to be a member at Average
Joe’s. |
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27.
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Mason has a large collection of baseball cards. He estimates that he has spent
$98.00 on protective card holders and an average of $10.00 on each card. If he sells his cards at $18
each, how many cards does he need to sell to make a profit of $190?
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28.
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A chemistry teacher needs to make 10 L of 37.5% nitric acid solution. The acid
solutions available are 30% nitric acid and 55% nitric acid, by volume. How many litres of each
solution must be mixed to make the 37.5% solution?
a. | 6 L of the 30% solution and 4 L of the 55% solution | b. | 3 L of the 30%
solution and 7 L of the 55% solution | c. | 7 L of the 30% solution and 3 L of the 55%
solution | d. | 8 L of the 30% solution and 2 L of the 55% solution |
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29.
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Liam paints pictures at the town dock and sells them to tourists. He spends $81
for paint supplies plus $3 for each canvas. If he charges $12 per painting, how many paintings must
he sell to make a profit?
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30.
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In the triangle , WG = 16 cm and tan G = 0.375. What is the length
of the hypotenuse, to the nearest tenth of a centimetre?  a. | 17.1 cm | b. | 6.0 cm | c. | 22.0
cm | d. | 42.7 cm |
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Use the diagram to answer the following question(s).
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31.
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Determine the length of y, to the nearest tenth of a metre.
a. | 9.4 m | b. | 6.6 m | c. | 5.5
m | d. | 8.6 m |
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32.
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A wheelchair ramp is being built for the entrance to a school. If the ramp makes
an angle of 4° with the ground and has a horizontal length of 7 m, determine the height of the
ramp, to the nearest tenth of a metre.
a. | 0.5 m | b. | 7.0 m | c. | 1.0
m | d. | 4.9 m |
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33.
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A ladder leans against a vertical wall and makes an angle of 60.6° with the
ground. The foot of the ladder is 2.7 m from the base of the wall. Determine the vertical distance
from the ground to the top of the ladder, to the nearest tenth of a metre.
a. | 4.2 m | b. | 4.8 m | c. | 2.4
m | d. | 5.5 m |
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34.
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In  , AC = 6 cm and BC = 15 cm. Determine the cosine ratio of
 A, rounded to the nearest thousandth.  a. | 0.400 | b. | 2.500 | c. | 0.928 | d. | 0.371 |
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35.
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Determine the measure of  J, to the nearest degree. 
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36.
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A data entry clerk earns $20.25/h and earns $126.56. How many hours did the data
entry clerk work?
a. | 6.25 hours | b. | 5.25 hours | c. | 26.50
hours | d. | 6.00 hours |
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37.
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Fatima is a sales consultant for a mail-order jewelry company and earns 10% of
her sales. If she sells more than $2000 in a week, she earns a $180 bonus. Last week, Fatima sold the
following amounts each day. | Monday | $553.00 | | Tuesday | $507.00 | | Wednesday | $622.00 | | Thursday | $785.00 | | Friday | $293.00 | | |
What was
Fatima’s gross pay for last week? a. | $2760.00 | b. | $456.00 | c. | $180.00 | d. | $276.00 |
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38.
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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 |
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39.
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The Canada Pension Plan (CPP) rate is currently 4.95% of a person’s gross
pay up to a maximum of $2593.80. If the government were to change the rate to 3.13%, what would be
the difference in CPP payments for an annual salary of $40 000?
a. | $728.00 less than the original rate | b. | $691.60 more than the original
rate | c. | $728.00 more than the original rate | d. | $764.40 less than the original
rate |
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40.
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Jin receives a pay stub from his job as a writer/editor. He is paid bi-weekly.
Earnings Statement Employee Name: Garcia, Jin Occupation: Athletic Trainer Period
End Date: June 18 Cheque Number: 1394 | Earnings | | | | | Deductions | | | Description | Hours | Rate | Amount | | Description | Amount | | Regular
Hours | 80 | 18.50 | 1480.00 | | Income Tax | 1664.76 | | Overtime | 20 | 27.75 | 555.00 | | EI | 33.01 | | Overtime | 44 | 37.00 | 1628.00 | | CPP | 99.76 | | Vacation
Pay | | | 146.52 | | | | | Gross Pay | | | 3809.52 | | Total Deductions | 1797.53 | | | | | | | Net
Pay | 2011.99 | | | | | | | |
What
is Jin’s gross pay for the year? a. | $198 095.04 | b. | $45 714.24 | c. | $99
047.52 | d. | $91 428.48 |
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Short Answer
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1.
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Quon is hired as a data entry clerk and earns $25.00/h with a 7.75 h work day.
The position is unionized with 1.00% deducted for union dues. In addition, income tax of
$29.06, CPP contributions of $9.59, and EI of $3.22. What is Quon’s net pay at the end of the
working day?
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2.
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Simplify  .
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3.
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What product does the following diagram represent? 
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4.
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Identify a pair of integers that have a product of 8 and a sum of
–6.
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5.
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a) What is the equation of the vertical line that passes through the
point  ? b) What is the equation of the horizontal line that passes through the point
 ?
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Problem
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1.
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Ivanna completed job interviews with two companies. Company A offered a yearly
salary of $91500 with a $5000 bonus for the first year. Company B offered a salary of $92 500. Using
the information below determine which position Ivanna should accept. 2018 British Columbia:
Provincial Income Tax Amounts | Income | Tax Rate | | $0 – $38 898 | 5.06% | | $38 898.01 – $77 797 | 7.7% | | $77 797.01 – $89 320 | 10.5% | | $89 320.01 – $108 460 | 12.29% | | over $108 460 | 14.7% | | |
2018 Canada: Federal
Income Tax Amounts | Income | Tax Rate | | $0 – $45 916 | 15% | | $45 916.01 – $91 831 | 20.5% | | $91 831.01 – $142 353 | 26% | | $142 353.01 – $202 800 | 29% | | over $202 800 | 33% | | |
Employment Insurance
(EI) Premium Rate: 1.66% to a maximum of $857.22 Canada Pension Plan (CPP) Contribution Rate:
4.95% to a maximum of $2593.80
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2.
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Noah works at a parking lot, where he can park his own car at a discounted rate.
Whether he is working or not, he pays a flat fee of $3.00 plus $0.25/h that his car is parked.
a) Write an equation to represent Noah’s total parking cost, C, in dollars,
for t hours.
b) How much will it cost Noah to park his car for a full 16 h?
c) If Noah has $8.00, for how many hours can he park his car in the parking lot?
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3.
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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?
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4.
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Sophia and Benjamin recently graduated from Clown College and are looking to be
hired to perform at parties. Sophia charges $30 for supplies plus $9/h. Benjamin charges $20 for
decorations plus $11/h. Let C represent the total cost and n represent the number of
hours they work at the party. a) Write an equation to represent the total cost to hire
Sophia. b) Write an equation to represent the total cost to hire Benjamin. c)
Graph the two lines in parts a) and b) on the same grid.  d) Explain what
the point of intersection represents. e) Use the graph to help you decide whether you would
hire Sophia or Benjamin to work at your party.
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