Basic Skills for College - Practice Tests

LearningExpress Skill Builders • CHAPTER 6
115
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SUMMARY
Now you can apply the math skills that you have learned in
this book. You can use this practice test to help you identify
your strengths and weaknesses and see where you might
need some more practice to get your math skills in shape
for college.
PRACTICE TESTS IN
ARITHMETIC, ALGEBRA,
AND GEOMETRY
6
6
CHAPTER 6 • LearningExpress Skill Builders
116
P
RACTICE
A

RITHMETIC
T
EST
Directions: Circle the correct answer to the following
problems.You can check your answers at the end of the
chapter
1. After she started exercising, Patty started losing
weight at a steady rate. She lost 24 pounds in one
year. How much weight did Patty lose per
month?
a. 2 pounds
b. 1 pound
c. 3 pounds
d. 12 pounds
2. At her party, Mackenzie put out a bowl con-
taining 360 jellybeans. Marina came by and ate
ᎏ
1
1
2
ᎏ
of the jellybeans, Christina ate
ᎏ
1
4
ᎏ
, Athena ate
ᎏ
1
5

ᎏ
, and Jade ate
ᎏ
1
8
ᎏ
. How many jellybeans were left?
a. 120
b. 240
c. 237
d. 123
3. At DeCavallas Home Improvements, industrial
cable sells for $4.98 per yard. If Gina needs to
purchase 108 feet of cable, how much will this
cost her?
a. $179.28
b. $537.84
c. $18.02
d. $268.92
4. If it takes 5 workers to build 3 sheds, how many
would it take to build 18?
a. 90
b. 18
c. 15
d. 30
5. Change 0.525 to a percent.
a. 525%
b. 5.25%
c. 0.525%
d. 52.5%

6. What is |Ϫ423| ϩ |423| equal to?
a. 0
b. Ϫ|423|
c. 846
d. 423
7. What is (4 ϩ 2)
3
?
a. 196
b. 72
c. 216
d. 18
8. What does 8.2 ϫ 10
9
equal?
a. 8,200,000,000
b. 820,000,000
c. 820,000
d. 820,000,000,000
9. Calculate ͙(97 Ϫ
ෆ
16)
ෆ
multiplied by
͙(48 Ϭ
ෆ
3)
ෆ
.
a. ͙36

ෆ
b. 9
c. 6
2
d. 4
10. What is the median of the following group of
numbers? 10 20 30 40 50 60
a. 30
b. 35
c. 60
d. 40
–BASIC SKILLS FOR COLLEGE–
LearningExpress Skill Builders • CHAPTER 6
117
11. The average weight of a male Proboscis monkey,
Nasalis larvatus, is 20,370 grams. The average
weight of a male Douc langer, Pygathria
nemaeus, is 10,900 grams. How much bigger is
the average male Proboscis monkey than the
average male Douc langer?
a. 10,430 grams
b. 8,980 grams
c. 9,470 grams
d. 10,470 grams
P
RACTICE
A
LGEBRA AND
G
EOMETRY

T
EST
Directions: Circle the correct answer to the following
problems.You can check your answers at the end of the
chapter.
12. If V = πr
2
h, what is h equal to?
a.
ᎏ
π
r
V
2
ᎏ
b. Vπr
2
c.
ᎏ
π
V
r
2
ᎏ
d.
ᎏ
V
r
2
h

ᎏ
13. Factoring 2pq
2
Ϫ 4p
2
q
3
yields which of the fol-
lowing expressions?
a. 2pq(q Ϫ 2pq
2
)
b. 2pq(q Ϫ 2pq)
c. 2p
2
q(q Ϫ 2pq
2
)
d. 2pq(q Ϫ 4pq
2
)
14. (3x
4
y
2
)(5xy
3
) is equivalent to
a. 15x
4

y
5
b. 15x
5
y
4
c. 15x
5
y
5
d. 15x
4
y
4
15. If x is a positive integer, solve for x:3x ϩ x
2
ϭ
28
a. 4
b. Ϫ4
c. Ϫ7
d. a and c
16. What is the value of 3x
2
Ϫ 2xy
3
when x ϭ 1 and
y ϭϪ2?
a. Ϫ19
b. Ϫ5

c. 13
d. 19
17.
ᎏ
4
x
ᎏ
Ϫ
ᎏ
2
3
x
ᎏ
ϩ
ᎏ
5
6
x
ᎏ
ϭ
a.
ᎏ
1
2
2
x
ᎏ
b.
ᎏ
1

5
2
x
ᎏ
c.
ᎏ
4
6
x
ᎏ
d.
ᎏ
2
6
2x
ᎏ
18. If BC is parallel to DE, and DB = 6, what is the
value of AE
?
a. 4
b. 6
c. 8
d. 10
A
BC
DE
32
6
–PRACTICE TESTS IN ARITHMETIC, ALGEBRA, AND GEOMETRY–
CHAPTER 6 • LearningExpress Skill Builders

118
19. Circle O has a diameter of 8 cm.What is the area
of Circle O?
a. 64π cm
2
b. 32π cm
2
c. 16π cm
2
d. 8π cm
2
20. What is the perimeter of the rectangle shown
below?
a. (2 Ϫ a)
2
b. (2 Ϫ a)(a)
2
c. 4 ϩ 8a
d. 4
21. If a 10 ft ladder is leaning against a building as
shown in the diagram below, how many feet
above the ground, h, is the top of the ladder?
a. 8
b. 10
c. ͙8
ෆ
d. ͙10
ෆ
22. The graph of y ϭ 3x Ϫ 12 crosses the x-axis at
which of the following coordinates?

a. (Ϫ4, 0)
b. (4, 0)
c. (0, 4)
d. (0, Ϫ4)
23. If the side of the cube below is doubled, what
happens to its volume?
a. It is doubled.
b. It is tripled.
c. It is quadrupled.
d. It is multiplied by eight.
2
10 ft
6 ft
h
2 - a
a
O
–BASIC SKILLS FOR COLLEGE–
LearningExpress Skill Builders • CHAPTER 6
119
24. How much greater is the area of Circle B than
the area of Circle A?
a. 5π cm
2
b. 12π cm
2
c. 20π cm
2
d. 36π cm
2

25. If r ϭ 5 cm and the water is 4 cm high, what is
the volume of water in the right cylinder below?
a. 20π cm
3
b. 80π cm
3
c. 100π cm
3
d. 800π cm
3
26. If line segment A
ෆ
B
ෆ
is parallel to line segment C
ෆ
D
ෆ
,
what is the value of x?
a. 58°
b. 62°
c. 56°
d. 60°
27. A line has a slope ϭ
ᎏ
3
2
ᎏ
and passes through the

points (1, q) and (Ϫ5, Ϫ6). What is the value
of q?
a. 3
b. 1
c. Ϫ3
d. Ϫ1
28. How many times does the graph x
2
Ϫ 81 ϭ y
cross the x-axis?
a. not at all
b. once
c. twice
d. three times
29. Which inequality below is equivalent to 8x Ϫ 3
Ͼ 29?
a. Ϫ4 Ͻ x Ͼ 4
b. x Ͻ 4
c. x Ͼ 4
d. Ϫ4 Ͻ x
AB
CD
x - 6
2x
r = 5 cm
8 cm
2
3
A
B

–PRACTICE TESTS IN ARITHMETIC, ALGEBRA, AND GEOMETRY–