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Ch 8 Review

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Name: ________________________ Class: ___________________ Date: __________
ID: A
Chpater 8 Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
____
1. Solve 4 f  11.
a. f = 0.28
f = 2.5
d.
f = 2.75
b.
g = 2.8
c.
g = 14.4
d.
g = 16.8
6.3
 3 d?
7
b. d = 3.33
c.
d = 18.9
d.
d = 21
h = 0.65
9.49
 14.6?
h
b. h = 1.538
c.
h = 6.1685
d.
h = 138.554
34.83
 2.7.
3r
r = 4.3
b.
c.
r = 34.53
d.
r = 94.041
6g
 2.4.
7
g = 0.86
d = 0.3
4. What is the value of h if
a.
____
c.
3. What is the value of d if
a.
____
f = 0.36
2. Solve
a.
____
b.
5. Solve
a.
r = 8.1
____
6. Brenda got a mark of 18 on her test. This mark was equal to 72%. How many marks was the test worth?
a. 24
b. 25
c. 30
d. 100
____
7. Solve the following: 5s  4  22.
a. s = 2.4
b. s = 3.6
c.
s = 18
d.
s = 22
8. What is the value of q if 2.7 q  5  6.07?
a. q = 0.396
b. q = 2.862
c.
q = 4.100
d.
q = 11.240
9. Solve 7.2 b  6.4  43.12.
a. b = 5.1
b.
b = 6.88
c.
b = 13.6
d.
b = 29.52
5.7 c
 4.2  33.819.
2.3
c = 0.652
b. c = 2.48
c.
c = 15.341
d.
c = 38.019
7d
 14.88.
2.5
d = 2.8
b.
c.
d = 9.2
d.
d = 21.28
____
____
____ 10. Solve
a.
____ 11. Solve 6.4 
a.
d = 3.0
____ 12. 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
1
Name: ________________________
ID: A
____ 13. A rectangle has a width of r  3 cm and a length of 2r  9 cm. The perimeter of the rectangle is
a. 6 cm
c. r + 6 cm
b. 12 cm
d. 6(r + 4) cm
____ 14. Solve 4.6(2.5a  2)  6.9.
a. a = 1.4
b.
a = 2.76
c.
a = 23.0
d.
a = 3.56
 6k

 4.7  8.19.
____ 15. Solve 2.1
 3

a. k = 4.3
b. k = 8.19
c.
k = 9.87
d.
k = 18.06
____ 16. Solve 5(2.6p  3.9)  5.
a. p = –1.1
b.
p = –3.9
c.
p = –7.8
d.
p = –13
 4z

____ 17. Solve 5  3  11.
 3

a. z = –0.5
b.
z = –0.6
c.
z = –1.5
d.
z = –1.6
____ 18. Marc had 5 coupons for $2.50 off the regular admission price of a movie. He bought tickets for himself and 4
friends. He paid $42.25. The regular price for each ticket was
a. $8.45
b. $10.69
c. $10.95
d. $12.50
____ 19. Solve the following:
a.
x=6
3
2x
x  3.2  5.3  .
4
3
b. x = 8.5
c.
x = 17
d.
x = 102
4
1
w  4.8  13.2  w.
5
4
w=8
b. w = 8.4
c.
w = 16
d.
w = 18
____ 21. Solve the following: 20x  24  14x.
a. x = 4
b. x = 6
c.
x = 14
d.
x = 24
c.
m = 10
d.
m = 12
c.
a = 20.92
d.
a = 31.38
____ 20. Solve
a.
5m
 5)  5(6  5m)?
6
m=1
b. m = 2
____ 22. What is 6(
a.
____ 23. Solve 4.2(1.75a  3.2)  3.9(1.5a  4.6).
a. a = 2.51
b. a = 13.35
____ 24. Julie puts 62 blue buttons in a bag. This number is 12 more than half the number of red buttons. The number
of yellow buttons is one quarter the number of red buttons. How many yellow buttons are there in the tin?
a. 15
b. 25
c. 50
d. 100
____ 25. Pat buys 3 cans of pop per week. This is 2 more than one fifth the number of cans of juice Pat buys per week.
The number of cans of juice Pat buys per week is:
a. 2
b. 5
c. 8
d. 15
2
Name: ________________________
ID: A
Short Answer
26. 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.
27. At a school dance, the student council sold cans of pop and bags of chips. The price of a can of pop is one
and a half times the price of a bag of chips. The pop sells for $0.90 and they sold $288.00 worth of pop. The
number of bags of chips sold is three quarters of the number of cans of pop sold. What was the income from
the chips?
28. Frank used the following calculations to solve 3(2g + 2.5) = 15.9. Is he correct? If not, explain his error.
3(2g  2.5)  15.9
6g  7.5  15.9
6g  23.4
g  3.9
3
Name: ________________________
ID: A
29. Solve and show your work.
4(4.1c  0.875)  6(1.8c  1.75)
Problem
30. Shandra ran 1500 m. If each of her paces was 1.6 m long, in how many paces did Shandra complete her run?
Show your answer to the nearest whole pace.
31. 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?
4
ID: A
Chpater 8 Review
Answer Section
MULTIPLE CHOICE
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25.
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D
B
A
A
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B
B
C
A
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B
B
D
A
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A
B
C
A
A
A
B
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B
B
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ID: A
SHORT ANSWER
26. ANS:
Example:
 r 
g  3 
4
 36 
g  3 
 4 
g  3(9)
g  27
There are 27 green marbles in the bag
PTS: 1
27. ANS:
Example:
Pop sold  288.00  0.90
 320 cans
Bags of chips sold 
3
 320
4
 240
Value of chips sold  240  0.60
 $144.00
The student council sold $144.00 worth of chips.
PTS: 1
28. ANS:
Frank is not correct. Between the second and third lines, he added 7.5 to both sides of the equation. He
should have subtracted 7.5 from both sides.
PTS: 1
29. ANS:
4(4.1c  0.875)  6(1.8c  1.75)
16.4c  3.5  10.8c  10.5
16.4c  10.8c  10.5  3.5
5.6c  14.0
c  2.5
PTS: 1
2
ID: A
PROBLEM
30. ANS:
Let p represent the number of paces in Shandra’s run.
1500
p
1.6
p  937.5
Shandra completed her run in 938 paces.
PTS: 1
31. ANS:
Let h represent the number of hours past 8 p.m. that Susan worked.
32  20  3h
32  20  3h
12  3h
4h
4 hours past 8 p.m. is 12 a.m.
Susan worked until midnight.
PTS: 1
3
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