Name: 
 

Math 11 Foundations LG 18 Unit 4 Practice Test #3


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

 1. 
Which set of data is correct for this graph?
mc001-1.jpg

 
Axis of Symmetry
Vertex
Domain
Range
A.
x = 4.25
(4.25, –2.5)
–8 £ x £ 4.25
2.5 £ y
B.
x = 2.5
(2.5, 4)
x Î R
y Î R
C.
x = 4
(4, 2.5)
–6 £ x £ 2
0 £ y
D.
x = –2.5
(–2.5, 4)
x Î R
4 £ y
a.
Set D.
b.
Set A.
c.
Set B.
d.
Set C.
 

 2. 
Which set of ordered pairs satisfy the function f(x) = –x2 + 4?
a.
(–2, 0), (1, 3), (6, 30)
b.
(–6, –30), (–4, –12), (2, 0)
c.
(–5, –21), (–1, 3), (4, –12)
d.
(–7, –42), (–5, –21), (0, 4)
 

 3. 
Which set of ordered pairs satisfy the function f(x) = x2 – 4x + 6?
a.
(–2, 18), (–1, 9), (6, 18)
b.
(2, 2), (4, 6), (7, 30)
c.
(–3, 27), (0, 6), (5, 11)
d.
(–1, 9), (1, 3), (2, 2)
 

 4. 
What is the correct quadratic function for this parabola?
mc004-1.jpg
a.
f(x) = (x – 2)(x – 3)
b.
f(x) = (x + 2)(x – 3)
c.
f(x) = (x – 2)(x + 3)
d.
f(x) = (x + 2)(x + 3)
 

 5. 
Solve m2 – 10m + 16 = 0 by factoring.
a.
m = 4, m = 4
b.
m = –8, m = –2
c.
m = –4, m = –4
d.
m = 8, m = 2
 

 6. 
Solve 100n2 = 121 by factoring.
a.
x = 10, x = –11
b.
x = mc006-1.jpg, x = –mc006-2.jpg
c.
x = mc006-3.jpg, x = –mc006-4.jpg
d.
x = 11, x = –11
 

 7. 
Which set of data is correct for the quadratic relation f(x) = –2(x – 12)2 + 15?
 Direction parabola opensVertexAxis of Symmetry
A.downward(15, –12)x = 15
B.downward(12, 15)x = 12
C.upward(–12, 15)x = –12
D.upward(15, 12)x = 15
a.
Set D.
b.
Set B.
c.
Set A.
d.
Set C.
 

 8. 
How many zeros does f(x) = a(x – 5)2 have if a < 0?
a.
0
b.
It is impossible to determine.
c.
2
d.
1
 

 9. 
Solve 2x2 + 4x = –5 – 2x2 using the quadratic formula.
a.
x = –mc009-1.jpg, x = –mc009-2.jpg
b.
x = mc009-3.jpg, x = mc009-4.jpg
c.
x = –1 + mc009-5.jpg, x = –1 – mc009-6.jpg
d.
x = 1 + mc009-7.jpg, x = 1 – mc009-8.jpg
 

 10. 
Solve 2w2 + 9w = 3 – 3w2 – 5w using the quadratic formula.
a.
w = –mc010-1.jpg, w = –3
b.
w = mc010-2.jpg, w = –3
c.
w = –mc010-3.jpg, w = 3
d.
w = mc010-4.jpg, w = 3
 

 11. 
A hockey arena sells premium tickets for $54. At this price, the arena will sell 150 premium tickets every game. The owners know from past years that they will sell 4 more premium tickets per game for each price decrease of $1. What price would let the owners earn the same amount of money they earn now?
a.
$70.50
b.
$65.00
c.
$62.25
d.
$73.75
 

 12. 
A 454 g block of butter costs $4.37. What is the price per 100 g?
a.
$0.96/100 g
b.
$1.0$1.04/100 g
c.
$0.10/100 g
d.
$1.09/100 g
 

 13. 
An 8 kg bag of potatoes costs $9.15. What is the unit rate?
a.
$9.15/8 kg
b.
$0$0.87/kg
c.
$1.14/kg
d.
$0.99/kg
 

 14. 
Olga drove 346 km and used up 28.7 L of gas. What is her car's fuel efficiency?
a.
8.29 L/100 km
b.
12 m12 mL/km
c.
12 km/L
d.
0.083 L/km
 

 15. 
The graph shows how a cyclist travels over time.
Over which interval is the cyclist travelling at 10 km/h?

mc015-1.jpg
a.
AB
b.
BC
c.
DE
d.
EF
 

 16. 
Data for triangle ABC is shown on the first line of the table.
Triangle ABC is reduced by a scale factor of 40%.
Which triangle is the reduction of triangle ABC?

Triangle
Name
Length of Base (cm)
Height of Triangle (cm)
Scale Factor
Area (cm2)
mc016-1.jpg
ABC
5.00
3.00
1
7.50
1.00
DEF
2.00
1.00
40%
1.00
0.13
GHI
1.50
1.20
40%
1.25
0.16
JKL
1.20
2.00
40%
1.20
0.15
MNO
2.00
1.20
40%
1.20
0.16
a.
DEF
b.
GHI
c.
JKL
d.
MNO
 

 17. 
Which one of the following right cones is similar to a right cone that is 15 cm high and has a diameter of 9 cm? Choose the best answer.
a.
a right cone 30 cm high and 18 cm in radius
b.
a right cone 10 cm high and 5 cm in diameter
c.
a right cone 20 cm high and 11 cm in diameter
d.
all of the above
 

 18. 
A 1:35 scale model of a fishing hut is 17 cm tall, 18 cm wide, and 19.7 cm long. What are the dimensions of the actual ice fishing hut?
a.
4.8 m by 5.6 m by 5.9 m
b.
5.85 m by 5.3 m by 6.6 m
c.
5.95 m by 6.3 m by 6.9 m
d.
4.85 m by 5 m by 5.63 m
 

 19. 
A 1:6 scale model of canoe is 30 in. long, with a beam (width) of 5.3 in. and a depth of 2.2 in. What are the dimensions of the actual canoe?
a.
15 ft long, 31.8 in. beam, 13.2 in. deep
b.
18 ft long, 38 in. beam, 12 in. deep
c.
13 ft long, 32 in. beam, 15 in. deep
d.
12 ft long, 18.5 in. beam, 3.2 in. deep
 

 20. 
A pool in the shape of a rectangular prism is filled with 15 m3 of water.
A similar pool has dimensions that are increased by a scale factor of mc020-1.jpg.
What volume of water will fill the larger swimming pool?
a.
27 m3
b.
19 m3
c.
47 m3
d.
36 m3
 

Short Answer
 

 21. 
Solve sa021-1.jpg. State the solution as exact values.
 

 22. 
Solve 2y2 + 8y + 2 = 0. State the solution as exact values.
 

 23. 
The grocery store sells peaches for $0.79/lb.
The farmers’ market sells a 5 kg basket of peaches for $9.
Determine the price per kilogram charged at each location.
Who has the lower price?
 

 24. 
Dortea is grilling chicken for a school reunion. Her barbecue sauce recipe is one fifth molasses, and she needs 200 mL of sauce per pound of chicken. She is grilling 18 kg of chicken legs. How many millilitres of molasses does she need?
 

 25. 
A standard music CD has an exterior diameter of 120 mm and an interior diameter of 15 mm. Draw a scale diagram of a CD using a scale factor of 60%.
 

Problem
 

 26. 
For the quadratic function f(x) = –2x2 + 6x + 12:
a) Use a partial factoring strategy to determine two points that are the same distance from the axis of symmetry.
b) Determine the coordinates of the vertex.
c) Sketch the graph.
 

 27. 
A landscaper is designing a rectangular garden, which will be 5.5 m wide by 6.5 m long. She has enough crushed rock to cover an area of 6.0 m2 and she wants to make a uniform border around the garden. How wide should the border be if she wants to use all the crushed rock?
 

 28. 
A company manufactures circular wall clocks made of aluminum. Each clock has a circular centre face with a uniform border around it. A customer wants a clock with the area of the centre face to equal to the area of the border. The radius of the centre face will be 4 m. Determine the entire radius of the clock. Show your work.
 

 29. 
This scale diagram, drawn on 0.5 cm grid paper, shows the plan of a swimming pool, drawn using a scale factor of 1:250.
a) Determine the perimeter of the pool.
b) Determine the area of the bottom of the pool.

pr029-1.jpg
 

 30. 
A cook has a set of four mixing bowls with lids.
The bowls stack inside each other and are similar to each other.
The diameters of the two largest bowls are 32 cm and 28 cm.
The scale factor is the same from each bowl to the next smaller bowl.
The cook estimates that the capacity of the largest bowl is 8000 cm3.
The capacity of the largest bowl is larger than the capacity of the smallest bowl by what percent?
 



 
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