Page 1
Question
1
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Simplify by writing the expression without absolute value bars.
|
x
+ 7| for
x
≥ -7
Select one:
a.
x
+ 7
b.
-
x
- 7
c.
- x
+7
d.
x
- 7
Question
2
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Write the subset of real numbers in set-builder notation.
(-4, 4]
Select one:
a. {x | -4 ≤
x
≤ 4}
b. {x | -4 <
x
≤ 4}
c. {x | -4 ≤
x
< 4}
d. {x | -4 <
x
< 4}
Question
3
Incorrect


Page 2
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List the elements of
A
B
.
A
= {-29, 14, 13, -20, 11, -2} and
B
= {-27, -10, 13, 11}
Select one:
a. {13}
b. {13, 11}
c. {-29, 14, 13, -20, 11, -2, -27, -10}
d. { }
Question
4
Correct
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Express the set in interval notation.
-9 -7
Select one:
a. (-∞, -9)
b. (-9, ∞)
c. [-9, -7]
d. (-9,-7]
Question
5
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Page 3
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Simplify the expression. Write your answer with positive exponents only.
z
2
y
3
y
−3
z
6
z2y3y−3z6
Select one:
a.
y
6
z
4
y6z4
b.
1z
4
1z4
c.
1z
4
y
6
1z4y6
d.
z
4
y
3
Question
6
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Simplify.
4
x
-4
Select one:
a.
4x
4
4x4
b.
1256x
4
1256x4
c.
14x
4
14x4
d.
256x
4
256x4
Question
7
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Page 4
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Answer the question.
How many miles (to the nearest hundredth of a mile) is a trip that is 1.5 × 10
6
inches?
Select one:
a.
11.835 miles
b.
47.34 miles
c.
2,367.42 miles
d.
23.67 miles
Question
8
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Add the radical expressions.
910−−√+610−−√
910+610
Select one:
a.
1510−−√
1510
b.
5410−−√
5410
c.
1520−−√
1520
d. Cannot be simplified further
Question
9
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Page 5
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Evaluate the root without using a calculator or note that root is not a real number.
8–√
3
83
Select one:
a. 3
b. 2
c. -2
d. Not a real number
Question
10
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Solve the problem.
The lateral surface area
A
of a right circular cone is given by
A
= π
r
r
2
+h
2
−−−−−
−√
r2+h2, where
r
and
h
are the radius and height of the cone. Determine the exact value
(in terms of π) of the lateral surface area of a cone with radius 3 m and height 5 m. Then
give a decimal approximation to the nearest square meter.
Select one:


Page 6
a. 5π
34−−√
34 m
2
≈ 92 m
2
b. 10π
2–√
2 m
2
≈ 44 m
2
c. 3π
34−−√
34 m
2
≈ 55 m
2
d. 6π
2–√
2 m
2
≈ 27 m
2
Question
11
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Write an expression for the volume and simplify your answer.
Select one:
a.
3
x
3
+ 15
x
+12
b.
x
3
+ 5
x
2
+ 4
x
c.
3
x
3
+ 12
x
d.
3
x
3
+ 15
x
2
+ 12
x
Question
12
Correct
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