Name: 
 

Math 9 LG 11 Unit 3 Practice Test #3



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

 1. 

Solve mc001-1.jpg.
a.
p = 0.22
b.
p = 0.45
c.
p = 2.88
d.
p = 4.5
 

 2. 

What is the value of h if mc002-1.jpg?
a.
h = 0.65
b.
h = 1.538
c.
h = 6.1685
d.
h = 138.554
 

 3. 

Solve mc003-1.jpg.
a.
r = 4.3
b.
r = 8.1
c.
r = 34.53
d.
r = 94.041
 

 4. 

What is the value of h if mc004-1.jpg?
a.
h = 2.3
b.
h = 2.8
c.
h = 17.01
d.
h = 21.42
 

 5. 

Solve the following: mc005-1.jpg.
a.
q = 0.28
b.
q = 0.75
c.
q = 1.65
d.
q = 8.25
 

 6. 

What is mc006-1.jpg?
a.
d = 0
b.
d = 0.675
c.
d = 2.25
d.
d = 4.5
 

 7. 

Solve mc007-1.jpg.
a.
w = 8
b.
w = 8.4
c.
w = 16
d.
w = 18
 

 8. 

Therese wants to start her solution to the equation shown by using multiplication. To do this, she should
mc008-1.jpg
a.
multiply both sides by 5
b.
multiply both sides by 4
c.
multiply the left side by 4 and the right side by 5
d.
multiply the left side by 8 and the right side by 2
 

 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. 

An apple has 5 mg of vitamin C. A banana has 2 mg more than twice the amount of vitamin C of an apple. If an orange has 3.5 times as much vitamin C as a banana, how much vitamin C does an orange have?
a.
7 mg
b.
12 mg
c.
24.5 mg
d.
42 mg
 
 
Assume that this graph shows air pressure at different altitudes. Use the graph to answer the following question(s).

nar002-1.jpg
 

 11. 

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).

nar003-1.jpg
 

 12. 

Which equation represents the relationship between the figure number (f) and the number of dots (n) in the figure?
a.
mc012-1.jpg
c.
mc012-3.jpg
b.
mc012-2.jpg
d.
mc012-4.jpg
 

 13. 

Which table of values represents a vertical line?
a.

mc013-1.jpg
c.

mc013-3.jpg
b.

mc013-2.jpg
d.

mc013-4.jpg
 

 14. 

Which table of values represents a horizontal line?
a.

mc014-1.jpg
c.

mc014-3.jpg
b.

mc014-2.jpg
d.

mc014-4.jpg
 

 15. 

Which table of values represents the linear equation mc015-1.jpg?
a.

mc015-2.jpg
c.

mc015-4.jpg
b.

mc015-3.jpg
d.

mc015-5.jpg
 

 16. 

Which table of values represents the equation mc016-1.jpg?
a.

mc016-2.jpg
c.

mc016-4.jpg
b.

mc016-3.jpg
d.

mc016-5.jpg
 

 17. 

Which graph represents a horizontal line?
a.

mc017-1.jpg
c.

mc017-3.jpg
b.

mc017-2.jpg
d.

mc017-4.jpg
 

 18. 

The height (in cm) of a stack of flowerpots can be modelled with the linear equation mc018-1.jpg. Which graph represents this situation?
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. 

Solve and show your work.

sa022-1.jpg
 

 23. 

Theater tickets cost $65.00 each. Complete the table of values and develop a linear equation that relates the cost to the number of tickets.

Number of Tickets, n
Cost, c ($)
1
 
2
 
3
 
4
 
5
 
 

 24. 

Tracy is walking near a motion detector.
a) How far was Tracy from the sensor when she began walking?
b) Was she walking toward or away from the motion sensor at the time?
c) How long did it take her to reach the motion sensor?

sa024-1.jpg
 

Problem
 

 25. 

During a ski jump, Maiko is airborne for 8.1 s. If her speed during the jump is 27.6 m/s, how far did Maiko jump, to the nearest hundredth of a metre?
 

 26. 

The length of the swimming pool at the Gordon Recreation Centre is 3.3 m less than the length of the pool at the Cedar Aquatic Centre. John can swim 18 lengths of the pool at the Gordon Recreation Centre. If John swims the same number of lengths of the Cedar Aquatic Centre pool, how many additional metres does he swim?
 

 27. 

Winnipeg had 161 days of precipitation. That is 1.4 times the number of days that Calgary had precipitation. How many days did Calgary have precipitation?
 

 28. 

The letter Z is constructed from dots. The first three diagrams are shown below.

pr028-1.jpg
a) Draw the next diagram.
b) Create a table of values showing the relationship between the figure number, f, and the number of dots, d, for the first four figures.
c) Graph the table of values.

pr028-2.jpg

d)
Describe the relationship between the figure number and the number of dots.
e) What is the equation that represents the relationship between the figure number, f, and the number of dots, d?
f) How many dots would be in Figure 8?
 

 29. 

For safety reasons, divers need to be aware of the pressure as they dive. At a depth of 4 m, the pressure is approximately 140 kPa (kilopascals) and at 9 m it is approximately 190 kPa. At what depth is the pressure double that of the pressure at 0 m? Explain your reasoning.

pr029-1.jpg
 

 30. 

The graph shows the distance, d, a car travels over a period of time, t.

pr030-1.jpg

a)
What is the linear equation for the relationship between distance and time?
b) How fast is the car travelling?
c) Describe two ways that you can determine how far the car has travelled in 100 min.
d) What is the distance travelled in 100 min?
 



 
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