MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Write the set using set
-
builder notation.
1)
{. . ., -
3, -
2, -
1, 0, 1, 2, 3, . . . }
1)
A)
{x
A
x is any integer greater than -
3}
B)
{x
A
x is an integer}
C)
{x
A
x is a natural number}
D)
{
-
3, -
2, -
1, 0, 1, 2, 3}
2)
{
7
, 8
, 9
, 10
, 11
}
2)
A)
{x
A
x is an integer between 7 and 11
}
B)
{x
A
x is an integer between 6 and 12
}
C)
{x
A
x is an irrational number between 6 and 12
}
D)
{x
A
x is a number between 7 and 11
}
3)
{2, 4, 6, 8, 10}
3)
A)
{x
A
x is any even natural number}
B)
{x
A
x is any integer}
C)
{x
A
x is an even natural number less than or equal to 10}
D)
{2, 4, 6, 8}
4)
{
-
5
, -
4
, -
3
, -
2
, . . .}
4)
A)
{x
A
x is an integer greater than -
6
}
B)
{x
A
x is any integer}
C)
{x
A
x is an integer between -
6 and -
1
}
D)
{
-
5
, -
4
, -
3
, -
2
}
5)
{
18
, 19
, 20
, 21
}
5)
A)
{x
A
x is a natural number between 17 and 22
}
B)
{x
A
x is a natural number between 18 and 21
}
C)
{x
A
x is an integer less than 22
}
D)
{
18
, 19
, 20
, 21
}
6)
{
-
10
, -
9
, -
8
, -
7
, -
6
}
6)
A)
{x
A
x is an integer between -
11 and -
5
}
B)
{x
A
x is an integer between -
10 and -
6
}
C)
{x
A
x is a number between -
10 and -
6
}
D)
{x
A
x is a natural number between -
11 and -
5
}
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Answer the question.
7)
Explain why the statement x <
2 or x >
5 cannot be written: 5
< x <
2
.
7)
Provide an appropriate response.
8)
Explain what happens when an integer is multiplied by 1, -
1, and 0. Which one is the
multiplicative identity for integers?
8)
9)
Explain how you can use the distributive property to help you evaluate 194
·
50
.
9)
1Chapter 0(Intermediate Algebra, 13e Margaret Lial, John Hornsby, Terry McGinnis)
(Test Bank, For Complete File, Download link at the end of this File)
(Answer at the end of each Chapter) 10)
Is it always true that c + (a · b) = (c + a)(c + b), where a, b, and c are real numbers? If not,
provide an example that shows the statement is false.
10)
11)
Use an example to explain the difference between the associative and commutative
properties of multiplication.
11)
12)
Is subtraction commutative? Explain.
12)
Answer the question.
13)
A student claims that { 0 } is the same set as + because zero means none, hence the number
of elements in { 0 } is none. Was the student correct? Explain your answer.
13)
14)
A student claims that {
6
, 7
, 8
} and the set {
8
, 7
, 6
} are the same set. Explain why the student
is correct or why the student is incorrect.
14)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Add or subtract as indicated.
15)
|
7
+ 1
|
15)
A)
-
8
B)
8
C)
-
6
D)
6
Determine whether the inequality is true or false.
16)
-
35
L
-
|
-
5
|
16)
A)
True
B)
False
Use inequality symbols to rewrite the statement.
17)
17 is greater than or equal to 17
.
17)
A)
17
K
17
B)
17
>
17
C)
17
L
17
D)
17
<
17
Solve the problem.
18)
In a certain location, the highest temperature recorded was 102
°
F. The lowest temperature recorded
was 130 degrees less than the highest. What was the lowest temperature?
18)
A)
28
°
F
B)
-
138
°
F
C)
0
°
F
D)
-
28
°
F
Add or subtract as indicated.
19)
-
2
+ 14
19)
A)
-
12
B)
12
C)
16
D)
-
16
Write as a decimal.
20)
910
%
20)
A)
9.1
B)
91
C)
0.
91
D)
9.11
2 Solve the problem.
21)
The table shows the heights in feet of some mountains and the depths in feet (as negative number) of
some ocean trenches. Mountain Height Trench Depth
A
16,900
P
-
24,955
B
17,048
Q
-
23,693
C
16,818
R
-
33,386
What is the difference between the height of mountain C and the depth of trench P
?
21)
A)
8137 ft
B)
41,773 ft
C)
-
41,773 ft
D)
-
8137 ft
Perform the indicated operations.
22)
-
9
- (
-
1
- 14
) - 13
22)
A)
19
B)
-
9
C)
-
7
D)
-
35
Simplify the expression.
23)
-
12
y + (
-
9
y)
23)
A)
-
21
y
2
B)
-
21
y
C)
21
y
D)
-
3
y
Evaluate the expression for a =
-
5, b = 16 and c = 7.
24)
b
+
65
a
24)
A)
-
9
B)
80
C)
-
8
D)
28
Perform the indicated operation.
25)
-
1
2
÷
-
3
4
25)
A)
-
2
3
B)
2
3
C)
3
8
D)
-
3
2
Simplify the expression.
26)
-
6
z - (
-
2
z)
26)
A)
-
4
z
2
B)
4
z
C)
-
4
z
D)
-
8
z
Perform the indicated operations.
27)
-
1
-
5
2
+
5
(
2
) +
(
-
5
)
2
27)
A)
9
B)
10
C)
11
D)
5
Solve the problem.
28)
A sawmill trims rough cut boards to look smooth. When a board is rough cut, it is 6 inches wide.
When it is trimmed, it is 5
7
16 inches wide. How much width was trimmed off?
28)
A)
6
9
16 inches
B)
7
16 inch
C)
9
16 inch
D)
87
16 inches
Find the value of the expression.
29)
-
22
29)
A)
22
B)
4.690
C)
0
D)
-
22
3 Change the fraction to a decimal. Round as indicated.
30)
6
7
hundredths
30)
A)
4.30
B)
0.
43
C)
0.
86
D)
0.
17
Write as a decimal.
31)
27.55
%
31)
A)
0.
2755
B)
0.0
2755
C)
2.755
D)
0.
2655
Add or subtract as indicated.
32)
-
11
+ 25
32)
A)
-
36
B)
-
14
C)
14
D)
36
Add or subtract as indicated. Make sure that your answer is reasonable by estimating first.
33)
16.004
- 7.352
33)
A)
23.356
B)
8.752
C)
-
8.652
D)
8.652
Rewrite the statement so the inequality symbol points in the opposite direction.
34)
39
>
9
34)
A)
39
<
9
B)
39
L
9
C)
9
>
39
D)
9
<
39
Change the fraction to a decimal. Round as indicated.
35)
9
4
tenths
35)
A)
0.
5
B)
0.
12
C)
11.5
D)
2.3
Decide whether the statement is true or false.
36)
The product of 5 positive factors and 8 negative factors is negative
.
36)
A)
False
B)
True
Perform the indicated operation.
37)
3
8
+
-
2
3
37)
A)
7
24
B)
-
7
24
C)
1
24
D)
1
3
Perform the indicated operations.
38)
11
- 15
- 8
38)
A)
18
B)
34
C)
-
12
D)
4
4
