Chapter 1 A real number which is not irrational and which is not a negative number

subject Type Homework Help
subject Pages 22
subject Words 3043
subject Authors Allen R. Angel, Dennis C. Runde, Lawrence Gilligan, Richard Semmler

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page-pf1
Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Provide an appropriate response.
1)
Which of these numbers are called factors: 2·5=10 ?
1)
A)
5 and 10
B)
2 and 10
C)
2 and 5
D)
2, 5, and 10
2)
Which of the following is NOT a way to indicate the product "6 times 2 ?"
2)
A)
(6)2
B)
6(2)
C)
(6)(2)
D)
(62)
3)
Which of the following is NOT a way to indicate the product "8 times x ?"
3)
A)
8(x)
B)
8x
C)
(8)(x)
D)
All of these are acceptable forms.
4)
Which of these numbers or variables are called factors: 7· x =7x ?"
4)
A)
7, x, and 7x
B)
7
C)
7 and 7x
D)
7 and x
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
5)
List the things you need to do to prepare properly for class.
5)
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Give three examples of numbers that satisfy the given conditions.
6)
A rational number, but not a positive number.
6)
7)
An integer, but not a whole number.
7)
8)
A decimal number which does not terminate and which is rational.
8)
Provide an appropriate response.
9)
When studying, you should not only understand how to work a problem, but also why
you follow the specific steps you do. Why is this important?
9)
Give three examples of numbers that satisfy the given conditions.
10)
A real number, but not a rational number.
10)
11)
A real number which is not irrational and which is not a negative number.
11)
Provide an appropriate response.
12)
Explain how a mathematics text should be read.
12)
13)
For each hour of class time, how many hours outside of class are recommended for
studying and doing homework?
13)
14)
There are no exercises for this objective.
14)
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Give three examples of numbers that satisfy the given conditions.
15)
A rational number, but not an integer.
15)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Indicate whether the given process is commutative. That is, does changing the order in which the actions are done result
in the same final outcome?
16)
Washing your hands; drying your hands
16)
A)
yes
B)
no
Indicate whether the statement is true or false.
17)
Every rational number is an integer.
17)
A)
true
B)
false
Insert either <, >, or = to make a true statement.
18)
21
3·1
2 _______ 21
3+1
2
18)
A)
>
B)
=
C)
<
Evaluate.
19)
(-6)3
19)
A)
18
B)
216
C)
-18
D)
-216
Insert either < or > to make a true statement.
20)
3 ___ -4
20)
A)
>
B)
<
page-pf4
Evaluate.
21)
Subtract -2
7 from -2
5
21)
A)
-3
35
B)
24
35
C)
- 4
35
D)
-24
35
Solve the problem.
22)
How many 5
12 pound boxes of cereal can be made from 13,800 pounds of cereal?
22)
A)
33,120 boxes
B)
1150 boxes
C)
2760 boxes
D)
5750 boxes
Insert either <, >, or = to make a true statement.
23)
1
2+1
2+1
2 _______ 3 ·1
2
23)
A)
>
B)
=
C)
<
Evaluate.
24)
8·8+2(10 - 9) +8
24)
A)
88
B)
83
C)
74
D)
82
25)
|10.5|
25)
A)
21
B)
0
C)
10.5
D)
-10.5
4
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Solve the problem.
26)
A small boy's temperature rose and fell over the course of one day. At 7am, it rose 2.9 degrees. At
noon, it fell 2.4 degrees. At 4pm, it fell 1.2 degrees. Finally, at 8pm, it rose 1.5 degrees. What was
the net change in the boy's temperature over the course of the day?
26)
A)
-5 degrees
B)
3.2 degrees
C)
8 degrees
D)
0.8 degrees
Write a simplified expression for the following.
27)
x · x · x · x · x· x
27)
A)
6x
B)
x6
C)
6x
D)
6x6
28)
6·6·2·2·2·2·8
28)
A)
26·32·18
B)
6·2·87
C)
62·24·8
D)
(6 ·2·8)7
Evaluate.
29)
Subtract -10 from -28.
29)
A)
18
B)
38
C)
-18
D)
-38
30)
(15 -12)3+(2 +5)3
30)
A)
1780
B)
370
C)
160
D)
1000
5
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Name the property illustrated.
31)
23 + (2+ t) = (23 +2) + t
31)
A)
distributive property
B)
identity property of addition
C)
commutative property of addition
D)
associative property of addition
Insert either < or > to make a true statement.
32)
-6 _____ -(-24)
32)
A)
<
B)
>
The name of a property is given followed by part of an equation. Complete the equation to the right of the equal sign to
illustrate the given property.
33)
- 7
2x(1) =
identity property of multiplication
33)
A)
1
B)
- 7
2x
C)
- 2
7x
D)
7
2x
Evaluate.
34)
1
42
34)
A)
1
8
B)
1
16
C)
1
2
D)
1
6
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Solve the problem.
35)
Tim needs to apply 21
4 gallons of herbicide per acre of soybeans. How many gallons of herbicide
are needed for 288 acres?
35)
A)
128 gal
B)
1441
4 gal
C)
145 gal
D)
648 gal
The graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport. Use the graph to answer the
question(s).
36)
During which two hour period did the temperature increase the most?
36)
A)
9 a.m. to 11 a.m.
B)
12 p.m. to 2 p.m.
C)
10 a.m. to 11 a.m.
D)
10 a.m. to 12 p.m.
Insert either < or > to make a true statement.
37)
1
31
8
37)
A)
>
B)
<
page-pf8
Evaluate.
38)
5
6÷1
5·3
10 -1
2
38)
A)
11
24
B)
- 205
6
C)
- 5
6
D)
- 1
30
39)
-54
39)
A)
625
B)
-20
C)
20
D)
-625
Write the fraction as a mixed number.
40)
37
11
40)
A)
11
37
B)
3737
11
C)
34
11
D)
3711
37
page-pf9
Solve the problem.
41)
The bar graph above shows the political party affiliation of 1,000 registered U.S. voters. What
percentage of the 1,000 registered U.S. voters belonged to one of the traditional two parties
(Democratic and Republican)?
41)
A)
25%
B)
50%
C)
35%
D)
40%
E)
75%
Add.
42)
-2.335 +15.976
42)
A)
13.641
B)
-13.641
C)
13.841
D)
-18.311
Name the property illustrated.
43)
2y + (-2y) = 0
43)
A)
identity property of addition
B)
distributive property
C)
commutative property of addition
D)
inverse property of addition
9
page-pfa
Evaluate.
44)
15 +25 ·20
44)
A)
515
B)
60
C)
395
D)
800
Name the property illustrated.
45)
8m + 0 =8m
45)
A)
inverse property of addition
B)
distributive property
C)
identity property of addition
D)
commutative property of addition
Add or subtract. Simplify the answer.
46)
7
9-2
6
46)
A)
5
9
B)
4
9
C)
8
3
D)
5
54
Evaluate.
47)
13.2 -9.6
47)
A)
22.8
B)
3.6
C)
-22.8
D)
-3.6
48)
18 + (7·15) - 9
48)
A)
366
B)
114
C)
150
D)
31
10
page-pfb
Indicate whether the statement is true or false.
49)
20 is a rational number.
49)
A)
true
B)
false
Write a simplified expression for the following.
50)
5·5
50)
A)
52
B)
25
C)
53
D)
2·5
The name of a property is given followed by part of an equation. Complete the equation to the right of the equal sign to
illustrate the given property.
51)
(2x + 7y) + 3z =
associative property of addition
51)
A)
(7y + 2x) + 3z
B)
2x + 7y + 3z
C)
(2x + 7y + 3z)
D)
2x + (7y + 3z)
Evaluate.
52)
5× (300 -50 ÷ 5) - [3 ·26 - (8 - 2 · 3)]
52)
A)
1324
B)
3150
C)
126
D)
1374
Arrange the numbers from smallest to largest.
53)
-5
7, -0.83 , -7
10, -4.08, -6.4
53)
A)
-6.4 , -4.08, -0.83 , -7
10, -5
7
B)
-4.08, -0.83 , -5
7, -7
10, -6.4
C)
-4.08, -0.83 , -7
10, -5
7, -6.4
D)
-6.4 , -4.08, -0.83 , -5
7, -7
10
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Insert either <, >, or = to make a true statement.
54)
7
8-0.875
54)
A)
=
B)
<
C)
>
Find the quotient.
55)
-39.6 ÷ (-4)
55)
A)
-1
9.9
B)
9.9
C)
-9.9
D)
6.1
Solve the problem.
56)
An ascending weather balloon starts taking air samples at a height of 30,000 feet and every 1000
feet thereafter. What is its height when it takes the 7th sample?
56)
A)
37,000 ft
B)
38,000 ft
C)
36,000 ft
D)
35,000 ft
Indicate whether the statement is true or false.
57)
Some real numbers are neither rational nor irrational.
57)
A)
true
B)
false
Name the property illustrated.
58)
2+ 8 =8+ 2
58)
A)
associative property of addition
B)
commutative property of addition
C)
identity property
D)
distributive property
12
page-pfd
Write the opposite of the number.
59)
-5.0
59)
A)
1
5.0
B)
-1
5.0
C)
-5
D)
5.0
The name of a property is given followed by part of an equation. Complete the equation to the right of the equal sign to
illustrate the given property.
60)
x
99
x=
inverse property of multiplication
60)
A)
x2
81
B)
81
x2
C)
9
xx
9
D)
1
Add.
61)
898.56 + (-75.09)
61)
A)
823.56
B)
823.47
C)
-823.47
D)
973.65
Insert either <, >, or = to make a true statement.
62)
13
16 +13
16
13
16 ·13
16
62)
A)
<
B)
=
C)
>
Insert either < or > to make a true statement.
63)
8
11
3
5
63)
A)
>
B)
<
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Find the quotient.
64)
-36
9
64)
A)
-360
B)
-1
4
C)
-4
D)
4
Indicate whether the statement is true or false.
65)
Some irrational numbers are integers.
65)
A)
true
B)
false
The name of a property is given followed by part of an equation. Complete the equation to the right of the equal sign to
illustrate the given property.
66)
5a +7b =
commutative property of addition
66)
A)
a·5+ b·7
B)
7a +5b
C)
5b +7a
D)
7b +5a
Evaluate.
67)
1.2 -2.4 ÷ 2.5 ·(1.1 -3.6)2
67)
A)
-0.0768
B)
1.0464
C)
-4.8
D)
-3
Indicate whether the given process is associative. For a process to be associative, the final outcome must be the same
when the first two actions are performed first or when the last two actions are performed first.
68)
Turning on the TV, changing the channel, watching TV.
68)
A)
yes
B)
no
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Find the difference using your calculator.
69)
-108.52 -28.88
69)
A)
-79.64
B)
79.64
C)
137.40
D)
-137.40
Find the quotient.
70)
3
5÷ (-8)
70)
A)
-24
5
B)
-3
40
C)
3
40
D)
-40
3
Evaluate.
71)
52 - 4(19 -13)
(2 + 6)2- 2(37 - 6)
71)
A)
-11
B)
14
C)
-16
D)
-28
Solve the problem.
72)
A television sells for $850. If the sales tax rate is 8.9%, what is the total price?
72)
A)
$1606.50
B)
$756.50
C)
$925.65
D)
$75.65
Find the product.
73)
(4)(5)
73)
A)
20
B)
16
C)
10
D)
200
page-pf10
Evaluate.
74)
Subtract -3.9 from -11
74)
A)
-7.1
B)
14.9
C)
-14.9
D)
7.1
75)
1
2+1
6÷ - 1
3·2
3
75)
A)
1
6
B)
- 1
4
C)
- 3
D)
- 4
3
Indicate whether the statement is true or false.
76)
0 is a natural number.
76)
A)
true
B)
false
Evaluate the expression for the given value of the variable or variables.
77)
5(x +4) + 24;x =-9
77)
A)
94
B)
-1
C)
-46
D)
1
Add.
78)
-67 + 46
78)
A)
113
B)
-113
C)
-21
D)
21
16
page-pf11
Find the product.
79)
(-3)(-4)
79)
A)
-12
B)
22
C)
24
D)
12
Solve the problem.
80)
Health care issues are receiving much attention in both academic and political arenas. A sociologist
recently conducted a survey of senior citizens whose net worth is too high to qualify for Medicaid
but who have no private health insurance. The ages of 25 uninsured senior citizens were as follows:
66 71 64 74 84 72
59 87 63 88 67 90
74 60 79 61 66 79
68 71 58 85 73 62 80
Find the median of the observations.
80)
A)
72
B)
71
C)
68
D)
71.5
Indicate whether the statement is true or false.
81)
0 is a whole number.
81)
A)
true
B)
false
Insert either <, >, or = to make a true statement.
82)
-8 _____ 6
82)
A)
>
B)
=
C)
<
page-pf12
Simplify the fraction. If the fraction is already simplified, so state.
83)
105
135
83)
A)
simplified
B)
15
9
C)
7
15
D)
7
9
Solve the problem.
84)
An online bookstore had 251 copies of a certain book in stock on January 1st. By January 10th, the
store has taken orders for 635 copies of the book. How many copies were on back order?
84)
A)
284
B)
384
C)
886
D)
-384
Find the quotient.
85)
-175
7
85)
A)
25
B)
-35
C)
-25
D)
-1
25
Evaluate.
86)
51
86)
A)
51
5
B)
5
C)
1
5
D)
1
page-pf13
The bar graph shows the number of tickets sold each week by the garden club for their annual flower show. Use the
graph to answer the question(s).
87)
How many more tickets were sold during week 1 than week 2?
87)
A)
35 tickets
B)
57 tickets
C)
45 tickets
D)
40 tickets
Evaluate.
88)
-7
23
88)
A)
49
4
B)
-343
8
C)
-343
2
D)
343
8
Determine whether the product will be positive, negative, zero, or whether there is not enough information to say.
89)
The product of zero and two negative numbers.
89)
A)
positive
B)
zero
C)
negative
D)
not enough information
page-pf14
Add.
90)
-136.28 + (-40.89)
90)
A)
-177.17
B)
-95.39
C)
95.39
D)
177.17
Evaluate.
91)
12 ·10 - (9-6) ÷ 3 - (9-5)
91)
A)
35
B)
105
C)
115
D)
30
Determine whether the quotient will be positive, negative, zero, or undefined.
92)
Zero divided by a negative number.
92)
A)
negative
B)
positive
C)
undefined
D)
zero
Solve. Simplify the answer.
93)
A Boeing 767 flew 920 mi on a nonstop flight. On the return flight, it landed after having flown 530
1
9 mi. How far was the plane from its original point of departure?
93)
A)
3908
9 mi
B)
3901
9 mi
C)
3898
9 mi
D)
3891
9 mi
Find the quotient.
94)
-21
-3
94)
A)
7
B)
1
7
C)
-210
D)
-7
page-pf15
Find the product.
95)
(-11)(10)
95)
A)
-120
B)
99
C)
-110
D)
-99
Evaluate.
96)
111
96)
A)
1
11
B)
11
11
C)
11
D)
1
97)
380-34· 24 ÷(4 ·3 - 2 ·2)
97)
A)
897
B)
594
C)
214
D)
137
98)
-80 - (- 150)
98)
A)
-230
B)
-70
C)
230
D)
70
99)
5·(4 +3)2-4·(5 -3)2
99)
A)
513
B)
229
C)
1161
D)
964
21
page-pf16
Evaluate using a number line.
100)
-8 + 0
100)
A)
0
B)
-80
C)
-8
D)
8
List all numbers from the given set that are members of the given Real Number subset.
101)
{12, 5, -4, 0, 0.9, 16}Natural numbers
101)
A)
12
B)
12, 0
C)
12, 16
D)
12, 0, 16
Write in expanded form.
102)
-2x4
102)
A)
-2x
B)
-2x · x · x · x
C)
-2(x + x + x + x)
D)
-2+ x + x + x + x
Solve the problem.
103)
During one year 38 new employees began work at Daniel's Manufacturing Company and 10
employees left. At the beginning of the year there were 330 employees. What was the number of
employees at the end of the year?
103)
A)
368 employees
B)
358 employees
C)
378 employees
D)
282 employees
page-pf17
104)
A plane is flying at a height of 9911 feet above the surface of the ocean. The depth of the ocean
directly below the plane is 18,391 feet. What is the vertical distance between the plane and the
floor of the ocean?
104)
A)
8480 ft
B)
28,302 ft
C)
28,402 ft
D)
8580 ft
Indicate whether the statement is true or false.
105)
When the set of whole numbers is combined with the set of negative integers, the integers are
formed.
105)
A)
true
B)
false
Insert either < or > to make a true statement.
106)
-5 ___ 0
106)
A)
>
B)
<
Solve the problem.
107)
If the sales tax on an item is 8%, the sales tax on an item costing d dollars can be found by the
expression 0.08d. Determine the sales tax on a camera that costs $570. Round your answer to the
nearest cent.
107)
A)
$51.30
B)
$39.90
C)
$45.60
D)
$456.00
Insert either < or > to make a true statement.
108)
9.06 ___ 9.03
108)
A)
>
B)
<
Evaluate.
109)
12 ÷2· (12 -3)
109)
A)
90
B)
69
C)
75
D)
54
page-pf18
Add or subtract. Simplify the answer.
110)
6
8-3
8
110)
A)
3
16
B)
3
8
C)
3
4
D)
1
2
For the given expression, determine the indicated inverse.
111)
7
9
multiplicative inverse
111)
A)
-7
9
B)
1
C)
9
7
D)
-9
7
Add.
112)
11.3 + (-4.6)
112)
A)
-15.9
B)
6.7
C)
-6.7
D)
15.9
Answer:
B
A)
B)
C)
D)
Solve the problem.
113)
Libby's 4 quiz scores in her math class are 89, 92, 86, and 79. What score does she need to obtain on
her next quiz to average an 85? Round to the nearest whole number if necessary.
113)
A)
79
B)
84
C)
67
D)
73
Write a simplified expression for the following.
114)
12 ·12 ·12 ·12 ·12
114)
A)
512
B)
5 ·512
C)
5 ·12
D)
125
page-pf19
Evaluate.
115)
24 + (-11)(-30) + (-15)
115)
A)
1035
B)
50
C)
339
D)
525
25
page-pf1a
Answer Key
Testname: C1
page-pf1b
Answer Key
Testname: C1
page-pf1c
Answer Key
Testname: C1
28

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