Name: 
 

Math 9 LG 11 Unit 3 Practice Test #1



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

What is the value of m if mc001-1.jpg?
a.
m = 2.1
b.
m = 5.83
c.
m = 7.75
d.
m = 9.5
 

 2. 

Solve mc002-1.jpg.
a.
a = 0.31
b.
a = 0.323
c.
a = 3.1
d.
a = 37.975
 

 3. 

What is the value of h if mc003-1.jpg?
a.
h = 0.65
b.
h = 1.538
c.
h = 6.1685
d.
h = 138.554
 

 4. 

Solve mc004-1.jpg.
a.
c = 0.652
b.
c = 2.48
c.
c = 15.341
d.
c = 38.019
 

 5. 

What is the value of h if mc005-1.jpg?
a.
h = 2.3
b.
h = 2.8
c.
h = 17.01
d.
h = 21.42
 

 6. 

Solve mc006-1.jpg.
a.
x = 1.5
b.
x = 2
c.
x = 3
d.
x = 6
 

 7. 

Solve mc007-1.jpg.
a.
z = 0.43
b.
z = 1.00
c.
z = 1.29
d.
z = 3.00
 

 8. 

Solve the following: mc008-1.jpg.
a.
x = 4
b.
x = 6
c.
x = 14
d.
x = 24
 

 9. 

The average amount of daylight per day in Calgary is 14.6 h. The average amount of daylight per day in Vancouver is 3.4 h more than half the number of hours in Calgary. The average amount of daylight per day in Vancouver is:
a.
7.3 h
b.
10.7 h
c.
11.2 h
d.
18 h
 

 10. 

Pat buys 3 cans of pop per week. This is 2 more than one fifth the number of cans of juice Fred buys per week. The number of cans of juice Fred buys per week is:
a.
2
b.
5
c.
8
d.
15
 
 
Use the figures to answer the following question(s).

nar002-1.jpg
 

 11. 

Which statement describes the number of dots in each figure?
a.
The number of dots is five more than two times the figure number.
b.
The number of dots is four more than two times the figure number.
c.
The number of dots is six more than the figure number.
d.
The number of dots is two more than five times the figure number.
 

 12. 

Following the pattern, which figure number will have 42 dots?
a.
8
c.
37
b.
18
d.
212
 
 
Assume that this graph shows air pressure at different altitudes. Use the graph to answer the following question(s).

nar003-1.jpg
 

 13. 

When a mountain climber reaches an altitude of 1000 m, what is the approximate air pressure?
a.
78 kPa
c.
88 kPa
b.
82 kPa
d.
92 kPa
 

 14. 

If a balloonist measures the air pressure to be 80 kPa, at what approximate altitude was the measurement taken?
a.
1300 m
c.
2000 m
b.
1700 m
d.
2300 m
 

 15. 

What is the approximate air pressure at an altitude of 4000 m?
a.
35 kPa
c.
43 kPa
b.
40 kPa
d.
50 kPa
 
 
Use the figures to answer the following question(s).

nar004-1.jpg
 

 16. 

Which figure number will have 42 dots?
a.
28
c.
37
b.
35
d.
61
 

 17. 

Which table of values represents the linear equation mc017-1.jpg?
a.

mc017-2.jpg
c.

mc017-4.jpg
b.

mc017-3.jpg
d.

mc017-5.jpg
 

 18. 

Which table of values represents the linear equation mc018-1.jpg?
a.

mc018-2.jpg
c.

mc018-4.jpg
b.

mc018-3.jpg
d.

mc018-5.jpg
 

 19. 

If the area of the first iteration of the Sierpinski triangle fractal is 1 unit2, what is the area of the smallest triangle in the fourth iteration?

mc019-1.jpg
a.
mc019-2.jpg unit2
c.
mc019-4.jpg unit2
b.
mc019-3.jpg unit2
d.
mc019-5.jpg unit2
 

 20. 

In a badminton tournament, a player who wins a match plays against another winning player in the next round. A player who loses a match is eliminated. A tournament takes 8 round to decide the winner. If p represents the number of players and r represents the number of rounds, which equation can be used to calculate how many players can enter the tournament?
a.
mc020-1.jpg
c.
mc020-3.jpg
b.
mc020-2.jpg
d.
mc020-4.jpg
 

Short Answer
 
 
Write your answer in the space provided.
 

 21. 

Complete and solve the equation represented by the model below.

sa021-1.jpg
 

 22. 

A bag of marbles contains 36 red marbles. There are one quarter as many purple marbles as there are red ones. There are 3 times as many green marbles as there are purple ones. Determine the number of green marbles in the bag.
 
 
The graph shows the cost of photocopying. Use the graph to answer the following question(s).

nar005-1.jpg
 

 23. 

a) Approximately how much does it cost to copy 12 pages?
b) Approximately how much does it cost to copy 32 pages?
 

 24. 

A long distance phone plan charges a flat fee of $8 per month, plus $0.10 per minute of call time.
a) Write a linear equation to represent the relationship between the number of minutes of call time, n, and the total monthly cost, c.
b) Graph the linear relation using 0 min as the first point and 80 min as the last.

sa024-1.jpg
c) What is the total cost for a month where the call time is 75 min?
 

Problem
 

 25. 

Susan charges a flat rate of $20 per night of babysitting. She also charges an extra fee of $3 per hour for every hour she works past 8 p.m. If Susan received $32 for a night of babysitting, how late did she work?
 

 26. 

Tarek completes his weekly grocery shopping at Shop Safe. The total bill for his order is $109.47. Tarek buys the same products the next week at Grocery Rite. The subtotal bill for his order at Grocery Rite is 1.4 times greater than his bill from the previous week. He hands the cashier $6.75 in discount coupons. How much cash does Tarek need to pay? Show your answer to the closest cent.
 

 27. 

Video club members pay an annual membership fee of $25.00, which allows them to rent movies for $3.50 instead of $5.00. What is the least number of videos that a club member must rent during a year to save money from the membership?
 

 28. 

The following pattern of light and dark grey bricks is used to construct a border along a garden path that is 20 m long. The bricks measure 20 cm by 10 cm.

pr028-1.jpg

a)
Complete the table of values.

Length of Border (m)
1
2
3
4
5
Number of Light Grey Bricks     
Number of Dark Grey Bricks     

b) What is the relationship between the length of the border and the number of light grey bricks?
c) What is the relationship between the length of the border and the number of dark grey bricks?
d) What is the relationship between the number of light grey bricks and the number of dark grey bricks?
e) How many bricks are needed for 20 m of border?
 

 29. 

Jada is considering two different payment plans for her gym membership. Plan A charges a flat fee of $40.00 each month. Plan B charges a flat fee of $20.00 each month plus $2.00 per visit.
a) Write a linear equation to represent each plan.
b) Graph the two linear relations.

pr029-1.jpg

c) Use the graph to help you identify when the two plans would have the same monthly cost.
d)
If Jada planned to visit the gym 12 times per month, which plan would cost less?
 

 30. 

A jet flies from Toronto to Rome. Its flight can be modelled by the linear equation pr030-1.jpg, where d is the distance, in kilometres, from Rome and t is the time, in hours.
a) Graph the linear relation.
b) How long does it take to fly 4000 km?

pr030-2.jpg
 



 
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