Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Answer the question as instructed.
1)
Using the rules for the order of operations, what should be done first when evaluating the
expression (8 + 65)3?
1)
A)
Evaluate 83
B)
Evaluate 63
C)
Evaluate 65
D)
Add 8+ 6
2)
Which of the following is not a mathematical sentence?
2)
A)
5 · 7 = 35
B)
5 12
C)
5 · 7 + 35
D)
5 < 7
C
3)
Associative property
3)
A)
(7 + 2) + 1 = (2+ 7) + 1
B)
(7 + 2) + 1 =7+ (2+ 1)
C)
(7 + 2) + 0 = (7+ 2)
D)
(7 + 2) + 1 =7+ (2+ 7)
B
4)
Distributive property
4)
A)
–9(x + y) = –9x –9y
B)
–9(x + y) = –9(y + x)
C)
–9(x + y) =9x +9y
D)
–9(x + y) =9(–x – y)
A
C
Answer the question.
5)
Which one of the following is the correct method for evaluating the expression 2x2– 4 for x =6?
5)
A)
2 · 62– 4 = 2 · 22= 2 · 4 = 8
B)
2 · 62– 4 = 122– 4 = 144 – 4 = 140
C)
2 · 62– 4 = (12 – 4)2= 8 = 64
D)
2 · 62– 4 = 2 · 36 – 4 = 72 – 4 = 68
6)
If Juan is heavier than Larry, then Juan’s weight is Larry’s weight.
6)
A)
less than
B)
less than or equal to
C)
greater than
D)
greater than or equal to
C
7)
Which of the following statements is false?
7)
A)
14 14
B)
14 <14
C)
14 14
D)
14 =14
B
8)
Commutative property
8)
A)
(2 + 6) + 9 =2+ (2+ 6)
B)
(2 + 6) + 9 –2= (6+ 2)
C)
(2 + 6) + 9 =2+ (6+ 9)
D)
(2 + 6) + 0 = (2+ 6)
A
Answer the question.
9)
Which phrase correctly translates the expression 7– x?
9)
A)
x less than 7
B)
7 subtracted from x
C)
x minus 7
D)
x take away 7
A
D
10)
Which pair of values of x and y makes 4x + y equal 10?
10)
A)
x = 5 and y = 10
B)
x = 1 and y = 6
C)
x = 10 and y = 5
D)
x = 6 and y = 1
11)
Choose the expression that is equivalent to the following: 0 + 7a
11)
A)
7a
B)
–7a
C)
7 + a
D)
0
A
12)
Evaluate 12.
12)
A)
21
B)
1
2
C)
2
D)
1
D
Answer the question.
13)
Choose the expression that is equivalent to the following: (3x + 2y)(2y + 8x)
13)
A)
11x + 4y
B)
(3x + 8x)(2y + 2y)
C)
(3x + 2y)(8x + 2y)
D)
(3x + 2y)(8y + 2x)
C
14)
Choose the expression that is equivalent to the following: 4(7a) + 4(4b)
14)
A)
4(7a + 4b)
B)
4(11ab)
C)
8(7a + 4b)
D)
8(11ab)
A
3
B
Match the property with the example of it.
15)
Inverse property
15)
A)
–7
9–7
9= 1
B)
–7
9–9
7= 0
C)
–7
9–9
7= 1
D)
–7
9+9
7= 0
Answer the question.
16)
Choose the expression that is equivalent to the following: (9x + 7y)(3y2)
16)
A)
(9x + 3y2)(7y)
B)
(9x) + (7y)(3y2)
C)
9x + (7y + 3y2)
D)
(3y2)(9x + 7y)
17)
Choose the expression that is equivalent to the following: 12x + 3y
17)
A)
3(4x + y)
B)
15xy
C)
3(9x + y)
D)
3(4x + 3y)
Answer the question as instructed.
18)
Which of the following is the correct way to evaluate the expression 4+ 4 ·5?
18)
A)
4 + 4 · 5 = 20 + 20 = 40
B)
4 + 4 · 5 = 20 + 4 = 24
C)
4 + 4 · 5 = 8 · 5 = 40
D)
4 + 4 · 5 = 4 + 20 = 24
Answer the question.
19)
Which pair of values of x and y makes x – 7y equal 1?
19)
A)
x = 8 and y = 1
B)
x = 1 and y = 6
C)
x = 6 and y = 1
D)
x = 1 and y = 8
20)
Choose the expression that is equivalent to the following: 4(1
4)
20)
A)
1
16
B)
4+1
4
C)
41
4
D)
4
4
Answer the question as instructed.
21)
Which of the following statements is true?
21)
A)
5>5
B)
10 >5
C)
10 <5
D)
55
22)
Choose the expression that is equivalent to the following: 1(9y3)
22)
A)
10y3
B)
9y4
C)
1
D)
9y3
23)
Identity property
23)
A)
4x · 0 = 0
B)
4x –4x = 0
C)
4x + 0 =4x
D)
4x · 0 =4x
24)
Choose the expression that is equivalent to the following: 3– 3
24)
A)
(–2)(3)
B)
2(3)
C)
(3)(3)
D)
3 + (–3)
Answer the question as instructed.
25)
164 means?
25)
A)
16 ·16 ·16 ·16 ·16
B)
16 · 4
C)
16 ·16 ·16 ·16
D)
16 ÷ 4
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
26)
What is the additive inverse of 0?
26)
27)
A whole number less than 3.5
27)
Provide an appropriate response.
28)
What values of a and b make the result negative? –(a – b)
28)
29)
A positive number multiplied by two negative numbers and then divided by a positive
number is .
29)
30)
Is the following expression undefined? 7– 7
7–7
30)
31)
A number between –6 and 6 that is a rational number but not an integer
31)
32)
19
32)
Give a number that satisfies the given condition.
33)
A whole number greater than 3.5
33)
34)
An integer greater than –6.3 and less than –5.3
34)
35)
The reciprocal of a negative number is a number.
35)
Write the statement in words and decide whether it is true or false.
36)
10 4+ 7
36)
Provide an appropriate response.
37)
Fill in the blanks with the correct numbers.
The opposite of –7 is _____.
The absolute value of –7 is _____.
The opposite of the absolute value of –7 is _____.
The absolute value of the opposite of –7 is _____.
37)
Write the statement in words and decide whether it is true or false.
38)
56
38)
39)
52
39)
Provide an appropriate response.
40)
What are some word phrases that mean addition?
40)
41)
Is the integer 0 positive or negative? Explain.
41)
Answer the question or complete the sentence to make a true statement.
42)
Under what condition will the sum of a positive number and a negative number be
positive?
42)
43)
How can you rewrite a subtraction of integers problem to make it easier to solve? Give an
example.
43)
44)
A whole number less than 8.7.
44)
45)
A number between –8 and 8 that is a negative real number but not an integer
45)
Write the statement in words and decide whether it is true or false.
46)
10 >1+ 8
46)
Provide an appropriate response.
47)
Explain what happens when an integer is multiplied by 1, –1, and 0.
47)
Write the statement in words and decide whether it is true or false.
48)
13
85
4
48)
Provide an appropriate response.
49)
Make up a subtraction problem in which the difference between two negative numbers
results in a positive number.
49)
50)
What are some word phrases that mean subtraction?
50)
Provide an appropriate response.
51)
Is this statement true or false? Why? (2+ 2) – 2 =2+ (2– 2)
51)
52)
How is the order of operations applied to integers?
52)
53)
Is this statement true or false? Why? (6– 6) – 6 =6– (6– 6)
53)
54)
Write the expression 4m – (m +16) using words.
54)
Write the statement in words and decide whether it is true or false.
55)
2
53
10
55)
56)
If x and y are both replaced by negative numbers, is the value of 5x – 3y positive or
negative?
56)
57)
A number between –10 and 10 that is a real number but not not an integer
57)
58)
The only real number that does not have a reciprocal is .
58)
59)
Which is an example of a term with numerical coefficient 4?
(a) x4 (b) 4x6y (c) 42x2 (d) x
4
59)
60)
What property is used to combine 6y and 13y to get 19y? Explain.
60)
Answer the question.
61)
Is the following expression undefined? 4+4
4–4
61)
62)
The average of a group of negative numbers is a number.
62)
63)
Under what condition will the sum of a positive number and a negative number be
negative?
63)
64)
What are some word phrases that mean multiplication?
64)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find all integer factors of the given number.
65)
13
65)
A)
–13, –6, –4, –4, –2, –1, 1, 2, 4, 4, 6, 13
B)
–13, –1, 1, 13
C)
–13, –6, –4, –3, –2, –1, 1, 2, 3, 4, 6, 13
D)
–13, –6, –2, –1, 1, 2, 6, 13
Answer the question.
66)
Assume a is positive, b is negative, and c is positive for the expression (b – a) / c
Tell whether the value of the given expression is positive, negative or cannot be determined.
66)
A)
Negative
B)
Positive
C)
Cannot be determined
Find the difference.
67)
1
2– – 5
8
67)
A)
–1
8
B)
–1
6
C)
–9
8
D)
9
8
Use an integer or rational number to express the number representing change.
68)
During one year, 34 employees quit their jobs at Newline Manufacturing Company.
68)
A)
34
B)
–34
B
69)
z
69)
A)
z
B)
–1
C)
0
D)
1
D
70)
– 97
9+112
9
70)
A)
13
9
B)
204
9
C)
194
9
D)
14
9
D
71)
x + y
11x – 4 x =9, y =4
71)
A)
13
35
B)
13
95
C)
9
95
D)
13
99
B
D
Find the sum.
72)
159+8+ (–9) + (–8)
72)
A)
166
B)
186
C)
150
D)
168
73)
–19 + 18
73)
A)
–37
B)
37
C)
–1
D)
1
Identify the group of terms as like or unlike.
74)
7z, –2z
74)
A)
Unlike
B)
Like
75)
The two charts show the weight gain of some people and the weight loss of other people. Use the
information given to answer the question below.
What is the difference between the weight gain of Bob and the weight loss of Frank?
75)
A)
5065 g
B)
–5065 g
C)
3351 g
D)
–3351 g
Simplify.
76)
9.5 ·16.5 +17.6 ·12.8
76)
A)
382.03
B)
2296.9
C)
4146.6
D)
2231.7
12
Graph the numbers on a number line.
77)
– 27
8, –5
4, 0, 2
77)
A)
B)
C)
D)
Use order of operations to simplify the expression.
78)
[–25.7 + (17.9 –3.6)] –2.3
78)
A)
–13.7
B)
–9.1
C)
–44.9
D)
37.7
A
Simplify the expression.
79)
–6p –4p
79)
A)
2p2
B)
–10p
C)
2p
D)
–2p
B
80)
7·23 – 10 ·8
80)
A)
1208
B)
28
C)
81
D)
728
C
B
Find the average of the numbers.
81)
9, 14, 6, 7, 15, 2, 18, 1
81)
A)
10.29
B)
9
C)
10
D)
8
82)
The sum of –23 and –7, divided by the product of 2 and –3
82)
A)
–23 + (–7)
2– (–3) ; – 6
B)
–23 +–7
2+ (–3); 6
C)
–23 +–7
2(–3); –1
6
D)
–23 + (–7)
2(–3) ; 5
83)
4 x =10, y =4
83)
A)
23
B)
16
C)
–17
D)
92
Simplify the expression.
84)
–6y + 5 – 4 + 3 + y – 4
84)
A)
–5y – 1
B)
–7y
C)
–5y
D)
–7y + 1
Simplify.
85)
6·7–8
85)
A)
6
B)
50
C)
34
D)
336
Find the value of the expression.
86)
5(8 – 3) + 5 ·3
5(6 – 2)
86)
A)
5
7
B)
1
C)
5
7
D)
2
Solve the problem.
87)
The temperature at the South pole was 7° at 8 am. At 3 pm, it was –46°. By how many degrees did
the temperature drop?
87)
A)
by –39°
B)
by 39°
C)
by 53°
D)
by –53°
C
88)
Eight times a number, added to 39
88)
A)
8x
B)
8x + 39
C)
8(x + 39)
D)
8·39 + x
B
89)
6a9, 6a5
89)
A)
Unlike
B)
Like
A
Determine whether the statement is true or false.
90)
5[4 + (8– 6)] <28
90)
A)
False
B)
True
A
15
D
Decide whether the statement is an example of the commutative, associative, identity, inverse, or distributive property.
91)
5(x + 4) =5x + 5 ·4
91)
A)
Associative
B)
Identity
C)
Commutative
D)
Distributive
Write the statement in symbols, using x as the variable, and find the solution by guessing or by using trial and error. All
solutions come from the list of integers between –12 and 12 inclusive.
92)
The quotient of a number and 3 is –4.
92)
A)
3x = – 1
4; –1
12
B)
x
3= –4; –12
C)
x
–4=3; –12
D)
–12
x=3; –4
Use order of operations to simplify the expression.
93)
–2–8+ (–4) + (–6)
93)
A)
0
B)
12
C)
–4
D)
16
Provide an appropriate response.
94)
The table shows the number of pupils per teacher in selected counties in a certain state.
County Pupils per Teacher
Addison 16.7
Branson 14.7
Cumberland 20.5
Dixson 12.5
Hendricks 12.3
Kendall 17.8
Putnum 13.9
Which counties have a figure greater than 16.7?
94)
A)
Kendall
B)
Addison, Branson, Dixson, Hendricks, Putnum
C)
Addison, Cumberland, Kendall
D)
Cumberland, Kendall
Simplify the expression.
95)
4k +6(6 –2k)
95)
A)
8k –36
B)
2k +36
C)
–8k +36
D)
16k–36
Evaluate the expression for the given values. If necessary, round to the nearest tenth.
96)
0.961x2+0.685y2 x =4, y =7
96)
A)
37.8
B)
785.7
C)
58
D)
48.9
D
Write a numerical expression for the phrase and simplify it.
97)
Twice the product of –2 and –3, subtracted from 7
97)
A)
(7)(2)(–2)(–3); 84
B)
(7 – 2)(–2·–3); 30
C)
(7)(2)(–2+ 3); 14
D)
7– 2(–2·–3); –5
D
Identify the group of terms as like or unlike.
98)
12, 14, –7
98)
A)
Unlike
B)
Like
B
99)
–1
7 of a number plus 14 equals 13.
99)
A)
–1
7x + 14 =13
B)
–1
7x =14 + 13
C)
–1
7(x + 14) =13
A
C
Perform the indicated operations.
100)
6+ 20 ·6– (–20)
100)
A)
676
B)
176
C)
146
D)
52
Solve the problem.
101)
For 2009, the government of Country X collected $2.1 trillion in revenues, but spent $8.7 trillion.
Write the government’s budget deficit as a signed number.
101)
A)
–$10.8 trillion
B)
$6.6 trillion
C)
$10.8 trillion
D)
–$6.6 trillion
102)
–10 –1
102)
A)
True
B)
False
103)
63÷9–7
103)
A)
108
B)
27
C)
214
D)
17
Provide an appropriate response.
104)
What property is used to clear parentheses and write 5(x +7) as 5x +35?
104)
A)
Commutative property
B)
Associative property
C)
Distributive property
D)
Identity property
18
Write the phrase as a mathematical expression. Use x to represent the number. Combine like terms if possible.
105)
Four times a number, added to the sum of the number and three
105)
A)
4x +3
B)
7x
C)
(x +3) +4x; 5x +3
D)
5x
Determine whether the statement is true or false.
106)
1
62+1
72=1
6+1
72
106)
A)
False
B)
True
A
Use the distributive property to rewrite the expression. Simplify if possible.
107)
6(x +5)
107)
A)
6x +6
B)
6x +30
C)
30x
D)
6x +5
B
Tell whether the statement is true or false.
108)
The absolute value of any nonzero number is an irrational number.
108)
A)
True
B)
False
B
Decide if the given number is a solution to the given equation.
109)
p + 4 =14; 10
109)
A)
Yes
B)
No
A
Evaluate.
110)
–9[6 + (–9)]
110)
A)
–27
B)
–135
C)
27
D)
–63
C
19
C
Decide whether the statement is an example of the commutative, associative, identity, inverse, or distributive property.
111)
8· 1 =8
111)
A)
Distributive
B)
Commutative
C)
Inverse
D)
Identity
Use an integer or rational number to express the number representing change.
112)
A football team gained 6 yards on one play.
112)
A)
–6
B)
6
B
Find the quotient.
113)
6
7÷ – 1
3
113)
A)
–18
7
B)
18
7
C)
7
18
D)
–2
7
A
Write the expression without parentheses.
114)
–(–9m +6n –3p)
114)
A)
–9m +6n –3p
B)
9m –6n +3p
C)
9m –6n –3p
D)
–9m +6n +3p
B
Solve the problem.
115)
Your bank account has $72 in it when you write checks for $51, $28, and $31. You then deposit $26
and $41. How much is in the account? Are you overdrawn?
115)
A)
$60, no
B)
$29, no
C)
$115, no
D)
–$115, yes
B
D
Find the sum.
116)
3
4+ – 1
20
116)
A)
7
10
B)
1
8
C)
7
40
D)
7
2
Write this word statement as an equation. Use x as the variable, and find all solutions from the set
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
117)
The sum of a number and 3 is 7.
117)
A)
x +7=3; 4
B)
x +3=7; 4
C)
x =3+7 ; 10
D)
x +3=7; 7
B
118)
4 less than a number is 8.
118)
A)
x – 4 =8; 12
B)
x + 4 =8; 4
C)
4– x =8; –4
D)
x + 8 =4; –4
A
119)
What is the average of all integers between –15 and 9, inclusive of both?
119)
A)
28
B)
–2
C)
–3
D)
–75
C
Answer the question.
120)
There is a distributive property for multiplication with respect to addition: a(b + c) = ab + ac. Is
there a distributive property for multiplication with respect to subtraction? If so, state the property.
120)
A)
No.
B)
Yes. a(b – c) = ab – ac
B
21
A
Solve the problem.
121)
The stock market gained 49 points on Tuesday and lost 29 points on Wednesday. Find the
difference between these changes.
121)
A)
20 points
B)
–20 points
C)
–78 points
D)
78 points
122)
Given the problem 8 – [1– (–2–10)], is the first step in solving to subtract –2 from –10?
122)
A)
Yes
B)
No
B
123)
The product of four and two more than a number
123)
A)
4+ 2 · x
B)
(4 + 2)x
C)
4(x + 2)
D)
4·2+ x
C
124)
On a cloudy day, the water temperature in the swimming pool drops 3 degrees.
124)
A)
–3
B)
3
A
125)
2·9=9·2
125)
A)
Associative
B)
Identity
C)
Commutative
D)
Distributive
C
Find the sum.
126)
1334 + 1216 + (–34) + (–16)
126)
A)
2500
B)
2532
C)
2568
D)
2600
A
22
D
127)
A number minus 6 equals 3.
127)
A)
6= 3 – x; 3
B)
x –6= 3; 9
C)
6– x = 3; 3
D)
6= 3 – x; 9
128)
26 47
128)
A)
26 47
B)
47 26
C)
47 >26
D)
47 26
129)
182
129)
A)
36
B)
648
C)
20
D)
324
130)
–7(49)
130)
A)
–343
B)
443
C)
–283
D)
296
Find the sum.
131)
–458+ 324
131)
A)
–782
B)
–134
C)
134
D)
782
23
Provide an appropriate response.
132)
The table shows the number of pupils per teacher in selected counties in a certain state.
County Pupils per Teacher
Addison 16.7
Branson 14.7
Cumberland 20.5
Dixson 12.5
Hendricks 12.3
Kendall 17.8
Putnum 13.9
Which counties have a figure that is at most 14.7?
132)
A)
Addison, Cumberland, Kendall
B)
Addison, Branson, Cumberland, Kendall
C)
Dixson, Hendricks, Putnum
D)
Branson, Dixson, Hendricks, Putnum
Simplify.
133)
29 +23 ·24
133)
A)
1248
B)
581
C)
76
D)
691
Find the average of the numbers.
134)
11, 6, 1, 8, 9
134)
A)
6
B)
8.75
C)
36
D)
7
Provide an appropriate response.
135)
If a, b, and c are real numbers, is this statement true or false? If a = b, then a – b = b – c.
135)
A)
True
B)
False
Evaluate the expression for the given values. If necessary, round to the nearest tenth.
136)
10x2+5y x =7, y =9
136)
A)
845
B)
4945
C)
4860
D)
535
Rewrite the statement so the inequality symbol points in the opposite direction.
137)
2<35
137)
A)
35 2
B)
2>35
C)
35 <2
D)
35 >2
138)
48 divided by a number equals 1
3 times that number.
138)
A)
x
48 =1
3x; No solution
B)
x
48 =3x; 12
C)
48
x=1
3x; 12
D)
48
x=1
3x; 48
Provide an appropriate response.
139)
If a, b, and c are real numbers, is this statement true or false? 0 – a = –a
139)
A)
True
B)
False
Simplify by combining like terms.
140)
10x – 6x + 7x + x – 6x
140)
A)
5x
B)
7
C)
–7
D)
6x
25
Find the difference.
141)
–30 – (–30)
141)
A)
90
B)
60
C)
–60
D)
0
142)
Every irrational number is an integer.
142)
A)
True
B)
False
143)
31 >10
143)
A)
31 <10
B)
10 >31
C)
10 <31
D)
31 10
144)
–17
144)
A)
34
B)
0
C)
–17
D)
17
Find the difference.
145)
–48 –48
145)
A)
96
B)
0
C)
–144
D)
–96
State the phrase as a mathematical expression. Use x to represent the variable.
146)
Three divided by a number
146)
A)
3– x
B)
3x
C)
3
x
D)
3+ x
147)
A number minus six hundred five
147)
A)
x – 605
B)
605x
C)
x + 605
D)
605
148)
During one year 10 new employees began work at Daniel’s Manufacturing Company and 32
employees left. At the beginning of the year there were 353 employees. What was the number of
employees at the end of the year?
148)
A)
331 employees
B)
363 employees
C)
311 employees
D)
395 employees
Simplify the expression.
149)
9g +24 –5
149)
A)
9g +29
B)
9g +19
C)
28g
D)
9g –19
27
150)
The product of 4
5 and –2
7, divided by 2
5.
150)
A)
2
5
4
5–2
7
; –7
4
B)
4
5
–2
72
5
; – 7
C)
4
5–2
7
2
5
; –16
175
D)
4
5–2
7
2
5
; –4
7
Decide whether the statement is an example of the commutative, associative, identity, inverse, or distributive property.
151)
7
44
7= 1
151)
A)
Identity
B)
Inverse
C)
Associative
D)
Commutative
152)
–1– 6
152)
A)
5
B)
–7
C)
–5
D)
7
153)
Nine is equal to fifteen minus six.
153)
A)
15 <9+ 6
B)
9=15 – 6
C)
9– 15 <6
D)
15 =9– 6
Determine whether the statement is true or false.
154)
8(9 – 2) + 7(7 – 3)
7(5 – 1) – 3(6 – 1)3
154)
A)
False
B)
True
155)
What is the average of all the even integers between –10 and 12, inclusive of both?
155)
A)
12
B)
1
C)
–22
D)
2
Decide whether the problem is an equation or an expression.
156)
x + y =7
156)
A)
Expression
B)
Equation
Select the smaller of the two given numbers.
157)
––6, ––16
157)
A)
––6
B)
––16
158)
The product of a number and 7 is 21.
158)
A)
21x =7; 3
B)
7x =21; 7
C)
7x =21; 3
D)
No Solution
159)
The product of twice a number and 3 is 48.
159)
A)
6x =48x
B)
2x +3=48
C)
6x =48
Find the quotient.
160)
–196
7
160)
A)
–1
28
B)
–28
C)
–38
D)
28
161)
11 12
161)
A)
True
B)
False
Write the expression without parentheses.
162)
–(5x +6y)
162)
A)
5x –6y
B)
–5x –6y
C)
–5x +6y
D)
5x +6y
State the phrase as a mathematical expression. Use x to represent the variable.
163)
Two times a number
163)
A)
2x
B)
2
x
C)
2– x
D)
2+ x
Simplify the expression.
164)
4x +14x
164)
A)
36x
B)
18x2
C)
56x
D)
18x
30
Change the word statement to an equation. Use x as the variable.
165)
4 times a number equals 4 less than 5 times the number.
165)
A)
4x =4– 5
B)
4x =5x – 4
C)
4x =4– 5x
Simplify the expression.
166)
6p2+ 2p3– 9p2– 6p3
166)
A)
8p2– 15p3
B)
–7p2p3
C)
–3p2– 4p3
D)
–7p2
Give the numerical coefficient of the term.
167)
18k2
167)
A)
324
B)
36
C)
2
D)
18
168)
One way to measure a person‘s cardiofitness is to calculate how many METs, or metabolic units, he
or she can reach at peak exertion. One MET is the amount of energy used when sitting quietly. To
calculate ideal METs, we can use the expression:
14.7 – age · 0.13 For women
or 14.7 – age · 0.11 For men
Researchers recommend that a person reach approximately 85% of his or her MET when
exercising. Calculate 85% of the ideal MET for a 65–yr–old woman. Then refer to the following
table. What activity can the woman do that is approximately this value?
Activity METs Activity METS
Golfing (with cart) 2.5 Skiing (water or downhill) 6.8
Walking (3 mph) 3.3 Swimming 7.0
Mowing lawn (power mower) 4.5 Walking (5 mph) 8.0
Ballroom or square dancing 5.5 Jogging 10.2
Cycling 5.7 Skipping rope 12.0
168)
A)
5.313; Walking
B)
5.313; Ballroom or square dancing
C)
6.25; Swimming
D)
6.25; Mowing lawn
Find the numerical value of the expression for a) x = 4 and b) x = 18.
169)
3x
169)
A)
a) 12 b) 54
B)
a) 21 b) 7
C)
a) 54 b) 12
D)
a) 7 b) 21
Find the solution of the equation from the given set.
170)
–x +6= –8; {–20, –14, –8, 0, 8, 14, 20}
170)
A)
20
B)
–20
C)
14
D)
8
C
Identify the group of terms as like or unlike.
171)
10v5, –10v5
171)
A)
Unlike
B)
Like
B
Perform the indicated operations.
172)
26 + 14 ·23 – 5
172)
A)
915
B)
343
C)
58
D)
720
B
Use the distributive property to rewrite the expression. Simplify if possible.
173)
3(8r +3+8s)
173)
A)
24r +3+24s
B)
24r +9+8s
C)
24r +3+8s
D)
24r +9+24s
D
Determine whether the statement is true or false.
174)
5[9 + (4– 4)] 42
174)
A)
True
B)
False
A
32
A
175)
Six is not equal to two.
175)
A)
62
B)
6<2
C)
6>2
D)
62
D
176)
100[0.02(x –16)
176)
A)
2x –32
B)
2x +32
C)
0.02x +32
D)
0.2x –32
A
177)
Seven times a number added to –4, subtracted from triple the sum of eight times the number
and –7
177)
A)
(–4+ 7x) –3(8x – 7); 17 – 17x
B)
3(8x – 7) – (–4+ 7x); –17 + 17x
C)
7(x – 4) –(3 + 8)(x – 7); 49 – 4x
D)
(3 + 8)(x + –7) –7(x – 4); –49 + 4x
B
178)
–5
9÷ – 6
13
178)
A)
65
54
B)
–65
54
C)
54
65
D)
–10
39
A
179)
The sum of two positive numbers will always be a number.
179)
A)
Negative
B)
Positive
B
Decide whether the statement is an example of the commutative, associative, identity, inverse, or distributive property.
180)
8+ 5 =5+ 8
180)
A)
Associative
B)
Distributive
C)
Commutative
D)
Identity
Perform the indicated operations.
181)
24 · (–26) + 30 · (–8)
181)
A)
768
B)
4752
C)
–864
D)
–4752
List the numbers from the set that are of the type indicated.
182)
B = {20, 6, –22, 0, 0.95}
Rational numbers
182)
A)
6, 0.95
B)
20, –22, 0, 0.95
C)
20, 0
D)
6
Find the sum.
183)
–8.5 + [(–3.7) + (–4.7)]
183)
A)
9.5
B)
0.1
C)
7.5
D)
–16.9
Evaluate the expression for the given values. If necessary, round to the nearest tenth.
184)
x(y + 9)
11(x – y) x =3, y =2
184)
A)
2
B)
3
C)
1
D)
0
Find the value of the expression.
185)
(8 + 8)[7+ (7+ 4)]
185)
A)
2240
B)
93
C)
288
D)
1152
Provide an appropriate response.
186)
The table shows the number of pupils per teacher in selected counties in a certain state.
County Pupils per Teacher
Addison 16.7
Branson 14.7
Cumberland 20.5
Dixson 12.5
Hendricks 12.3
Kendall 17.8
Putnum 13.9
For which counties are the values not less than 12.5?
186)
A)
Dixson, Hendricks
B)
Hendricks
C)
Addison, Branson, Cumberland, Dixson, Kendall, Putnum
D)
Addison, Branson, Cumberland, Kendall, Putnum
C
187)
– 52
3, –3, –1, 12
3
187)
A)
B)
C)
D)
B
C
Decide if the statement is true or false.
188)
–3–(–10)
188)
A)
True
B)
False
189)
7– 9
189)
A)
16
B)
2
C)
–16
D)
–2
Decide if the statement is true or false.
190)
–(–3) < –24
190)
A)
False
B)
True
Use the commutative or the associative property to complete the statement. State which property is used.
191)
3+ (12 +2) = (3+)+2
191)
A)
–12; associative property
B)
12; commutative property
C)
12; associative property
D)
–12; commutative property
Answer the question as instructed.
192)
True or false? In an inequality using > or <, the inequality symbol should point toward the smaller
number for the inequality to be true.
192)
A)
false
B)
true
193)
The difference between three times a number and eleven
193)
A)
11 – 3x
B)
11 + 3x
C)
3– x + 11
D)
3x – 11
194)
A number increased by twelve
194)
A)
12
B)
12x
C)
x + 12
D)
x – 12
Decide whether the problem is an equation or an expression.
195)
2(5x + 8) =6(3x – 8)
195)
A)
Equation
B)
Expression
A
Use an integer or rational number to express the number representing change.
196)
Sales in Jeff’s Toys Shop decline 15.0% from last month to this month.
196)
A)
15.0
B)
–15.0
B
Find the value of the expression.
197)
2[4 +8(22)]
197)
A)
1600
B)
520
C)
800
D)
72
D
Tell whether the statement is true or false.
198)
Some real numbers are integers.
198)
A)
True
B)
False
A
Perform the indicated operations.
199)
3[(–4) + 2(–6+ 3)]
199)
A)
18
B)
–18
C)
14
D)
–30
D
37
C
Write a numerical expression for the phrase and simplify it.
200)
The product of 1 and –9, added to –6
200)
A)
(–6+ 1)(–9); 45
B)
(–6)(–9) + 1; 55
C)
(–6)(–9)(1); 54
D)
(–6) + (1)(–9); –15
Evaluate the expression using the given values.
201)
11x +3
20 – 2y ; x =5, y =9
201)
A)
26
B)
58
C)
63
D)
29
D
202)
The sum of two–thirds a number and 49 is 21.
202)
A)
2
3x +49 =21
B)
2
3x +21 =49
C)
2
3x ·49 =21
D)
2
3x –49 =21
A
203)
–8
7(21x + 7y)
203)
A)
–24x + 8y
B)
24x + 8y
C)
–32x
D)
–24x – 8y
D
204)
(0.004)2
204)
A)
0.002
B)
0.0016
C)
0.000016
D)
0.008
C
D
Decide if the given number is a solution to the given equation.
205)
x +10
7– x =1
4; –33
5
205)
A)
Yes
B)
No
206)
The bar graph shows governmental budget outlays for Country X’s Department of Defense for the
years 2008 through 2011. Use a signed number to represent the change in outlay for (a) 2008 to 2011
and (b) 2009–2011.
96.2
73.8 84.5
67.7
206)
A)
(a) –28.5 billion dollars, (b) –6.1 billion dollars
B)
(a) –6.1 billion dollars, (b) –16.8 billion dollars
C)
(a) 6.1 billion dollars, (b) 16.8 billion dollars
D)
(a) 141.5 billion dollars, (b) 152.2 billion dollars
207)
Assume a is positive, b is negative, and c is positive for the expression
a – ( b / c)
Tell whether the value of the given expression is positive, negative or cannot be determined.
207)
A)
Negative
B)
Positive
C)
Cannot be determined
208)
j, k
208)
A)
Unlike
B)
Like
A
209)
Assume a is positive, b is negative, and c is positive for the expression
a · b2· c
Tell whether the value of the given expression is positive, negative or cannot be determined.
209)
A)
Positive
B)
Cannot be determined
C)
Negative
A
210)
{18, 7, –16, 0}
Real numbers
210)
A)
18, 7, –16, 0
B)
18
C)
18, –16, 0
D)
18, 0
A
211)
5.74 1.71
211)
A)
5.74 1.71
B)
1.71 5.74
C)
1.71 5.74
D)
5.74 <1.71
C
Use the distributive property to rewrite the expression. Simplify if possible.
212)
5(3x) + 5(4y)
212)
A)
5(3x + 4y)
B)
10(3x + 4y)
C)
15x + 20y
D)
5x(3+ 4) =35x
A
40
Simplify the expression.
213)
28x –8–21x –4
213)
A)
7x – 4
B)
–7x – 12
C)
7x – 12
D)
–7x – 4
214)
5· (12 ·9) = (5·) ·9
214)
A)
12; associative property
B)
–12; commutative property
C)
12; commutative property
D)
–12; associative property
A
215)
(6 ·9) ·3=6· (9·3)
215)
A)
Identity
B)
Associative
C)
Commutative
D)
Distributive
B
216)
7 times a number added to –6, added to 5 times the sum of 9 times the number and 5
216)
A)
5(9x + 5) + [7x + (–6)]; 52x + 19
B)
7x – 6 + 5(9 + 5x); 32x + 52
C)
7(–6+ x) + 5(9x + 5); 52x – 37
D)
7(–6+ x) + 5(9 + 5x); 12x + 3
A
217)
To which of the following sets does –3
4 belong: natural numbers, whole numbers, integers, rational
numbers, irrational numbers, real numbers?
217)
A)
Rational numbers, real numbers
B)
Irrational numbers, natural numbers
C)
Rational numbers, natural numbers
D)
Irrational numbers, real numbers
A
C
Simplify the expression.
218)
–2– (7–8t)
218)
A)
5–8t
B)
9+8t
C)
–5–8t
D)
–9+8t
219)
56– 2
219)
A)
False
B)
True
A
220)
A bike road race starts at an elevation of 620 feet and passes through 5 stages where the elevation
changes by 309 feet, –378 feet, 270 feet, –105 feet, and 252 feet. At what elevation does the race end?
220)
A)
–1934 ft
B)
836 ft
C)
968 ft
D)
1934 ft
C
221)
The product of –5 and the sum of 1 and –3
221)
A)
–5+ (1)(–3); –8
B)
(–5)(1) + (–3); –8
C)
(–5)(–3) + 1; 16
D)
–5[1 + (–3)]; 10
D
Use the properties of real numbers to simplify the expression.
222)
5
7 (–0.38) 7
5
222)
A)
1
B)
–0.38
C)
5
7
D)
–1
B
D
223)
–3·1=1·
223)
A)
–3; commutative property
B)
3; associative property
C)
–3; associative property
D)
3; commutative property
224)
–15 > –1
224)
A)
True
B)
False
225)
Mr. Voss increased his speed by 17 miles per hour.
225)
A)
–17
B)
17
226)
The ocean surface is at 0 ft elevation. A diver is underwater at an elevation of –132 ft near a rock
formation. In this area, the ocean floor has an elevation of –297 ft. The rock formation rises to a
peak 194 ft above the ocean floor. How many feet below the top of the rock formation is the diver?
226)
A)
165 ft
B)
29 ft
C)
62 ft
D)
103 ft
Write the expression without parentheses.
227)
–(2n +9w +5g)
227)
A)
–2n –9w +5g
B)
–2n –9w –5g
C)
2n –9w +5g
D)
2n +9w +5g
43
Find the sum.
228)
17 + [6+ (–14)]
228)
A)
9
B)
–3
C)
37
D)
25
Use order of operations to simplify the expression.
229)
–6+8+ (–5) +9
229)
A)
–2
B)
10
C)
6
D)
18
Tell whether the statement is true or false.
230)
Every rational number is an integer.
230)
A)
True
B)
False
231)
The quotient of 7 and the sum of 21 and –8.
231)
A)
7
21 – (–8); 7
29
B)
7
21 + (–8); 7
13
C)
7+ (21 –8); 20
D)
21 –8
7; 13
7
Simplify the expression.
232)
–2.2p +5.8 – (7p + 0.5) +5.8p
232)
A)
–3.4p +5.3
B)
10.6p +6.3
C)
10.6p +5.3
D)
–3.4p +6.3
44
Find the value of the expression.
233)
2(5 + 6) + 2 ·6
2(8 – 1)
233)
A)
14
15
B)
68
15
C)
17
7
D)
34
7
234)
–24
234)
A)
24
B)
48
C)
0
D)
–24
Answer the question.
235)
In the equation 2x + y =12, the value of x is 4. What is the corresponding value of y?
235)
A)
y =6
B)
y =4
C)
y =10
D)
y =2
Use an integer or rational number to express the number representing change.
236)
Sales at Andrea‘s Formal Wear Shop were $3977 more this week than the sales last week.
236)
A)
–3977
B)
3977
Write the expression without parentheses.
237)
–(8z –4w +3y)
237)
A)
–8z +4w –3y
B)
–8z –4w +3y
C)
–8z –4w –3y
D)
–8z +4w +3y
45
Evaluate the expression, given x = –2, y = 3, and a = –4.
238)
3a2– y
x + 2
238)
A)
45
4
B)
–51
4
C)
Undefined
D)
0
239)
–11 –(–4)
239)
A)
False
B)
True
240)
–1, 1, 3, 5
240)
A)
B)
C)
D)
241)
12x
y+ y3 x =10, y =9
241)
A)
283
3
B)
5054
5
C)
2227
3
D)
49
3
242)
6x +8y +4; x =0, y =8
242)
A)
52
B)
74
C)
68
D)
12
243)
– –5– –7
243)
A)
False
B)
True
A
244)
(12 + 9) – (19 – 16)
244)
A)
18
B)
38
C)
–38
D)
14
A
245)
The sum of three negative numbers will always be a number.
245)
A)
Negative
B)
Positive
A
246)
27
246)
A)
–9, –3, –1, 1, 3, 9
B)
–27, –9, –3, 3, 9, 27
C)
–27, –13, –3, 3, 13, 27
D)
–27, –9, –3, –1, 1, 3, 9, 27
D
247)
–12 –7
8
247)
A)
–21
2
B)
21
2
C)
7
2
D)
–7
2
B
C
Perform the indicated operation.
248)
–1– ( –4+9)
–7– (–8)
248)
A)
2
5
B)
– 14
C)
–2
5
D)
– 6
249)
7y –4a2
249)
A)
85
B)
–43
C)
–11
D)
5
250)
1– (13 +21)
250)
A)
35
B)
–7
C)
–33
D)
9
Find the difference.
251)
9
10 – – 2
9
251)
A)
–11
90
B)
–101
90
C)
61
90
D)
101
90
Provide an appropriate response.
252)
The table shows the number of pupils per teacher in selected counties in a certain state.
County Pupils per Teacher
Addison 16.7
Branson 14.7
Cumberland 20.5
Dixson 12.5
Hendricks 12.3
Kendall 17.8
Putnum 13.9
Which counties have a figure that is at most 12.5?
252)
A)
Addison, Branson, Cumberland, Dixson, Kendall, Putnum
B)
Hendricks
C)
Addison, Branson, Cumberland, Kendall, Putnum
D)
Dixson, Hendricks
253)
The absolute value of any number is positive.
253)
A)
True
B)
False
Provide an appropriate response.
254)
The table shows the number of pupils per teacher in selected counties in a certain state.
County Pupils per Teacher
Alaska 16.7
Branson 14.7
Cumberland 20.5
Dixson 12.5
Hendricks 12.3
Kendall 17.8
Putnum 13.9
Which counties have a figure greater than 14.7?
254)
A)
Addison, Cumberland, Kendall
B)
Addison, Branson, Cumberland
C)
Addison, Branson, Cumberland, Kendall
D)
Addison, Cumberland, Dixson, Kendall
Find the sum.
255)
194+76 +6+4
255)
A)
290
B)
270
C)
260
D)
280
256)
2x – 5
7x
256)
A)
a) 13
126 b) 41
126
B)
a) 1
42 b) 31
126
C)
a) 3
28 b) 31
126
D)
a) 31
126 b) 3
28
Perform the indicated operation.
257)
–2(4)
2–(–6)
257)
A)
–1
B)
–2
C)
1
D)
2
258)
––19
258)
A)
38
B)
–19
C)
19
D)
0
259)
Ten is less than or equal to five plus six.
259)
A)
10 5+ 6
B)
10 + 5 6
C)
5+ 6 10
D)
10 <5+ 6
Simplify the expression.
260)
–6b + 5 + 4b + 3b – 10
260)
A)
b + 5
B)
b –5
C)
b + 10
D)
b –10
Rewrite the statement so the inequality symbol points in the opposite direction.
261)
2.11 <2.43
261)
A)
2.43 2.11
B)
2.11 >2.43
C)
2.43 >2.11
D)
2.11 2.43
C
262)
(–6x – 5y)(7a)
262)
A)
–84
B)
–696
C)
84
D)
224
C
Decide whether the problem is an equation or an expression.
263)
6x + 8
9=7x
5– 6
263)
A)
Expression
B)
Equation
B
Refer to the table to answer the question.
Production
Category Change
’98–’99 Change
’99–’00
Public Relations 3.5 4.2
Training 1.7 2.8
Sales –4.3 1.6
Catalog 2.3 –1.1
264)
Which category and year shows the smallest absolute change?
264)
A)
Catalog ‘99–’00
B)
Sales, ’99–’00
C)
Training ’98–’99
D)
Catalog, ‘98–’99
A
B
Use the commutative or the associative property to complete the statement. State which property is used.
265)
1+ (–9) = –9+
265)
A)
1; associative property
B)
–1; commutative property
C)
–1; associative property
D)
1; commutative property
Find the opposite (additive inverse) of the number.
266)
–21
266)
A)
0
B)
–1
21
C)
–21
D)
21
D
267)
In order to add –9 and 7, I should begin by finding the of the of –9 and 7.
267)
A)
Sum, opposites
B)
Difference, absolute values
C)
Sum, absolute values
D)
Difference, additive inverses
B
268)
The sum of 5 and –6, decreased by 9
268)
A)
[5 + (–9)] + 6; 2
B)
[5 + (–6)] + 9; 8
C)
[5 – (–6)] – 9; 2
D)
[5 + (–6)] – 9; –10
D
Decide whether the statement is an example of the commutative, associative, identity, inverse, or distributive property.
269)
7+ (–7) = 0
269)
A)
Commutative
B)
Identity
C)
Associative
D)
Inverse
D
52
D
Simplify the expression.
270)
–2(4y +2) – (2y +8) –3y +10
270)
A)
–13y+ 6
B)
–13y– 2
C)
13y+ 10
D)
–9y + 14
Find the difference.
271)
–1
3–1
3– – 4
3–6
271)
A)
4
B)
20
3
C)
– 8
D)
–16
3
B
272)
Fifteen is greater than five plus nine.
272)
A)
5+ 9 >15
B)
15 + 5 >9
C)
15 <5+ 9
D)
15 >5+ 9
D
Evaluate the expression, given x = –2, y = 3, and a = –4.
273)
(8 + x)(9+ y)(–2– a)
273)
A)
–144
B)
–720
C)
144
D)
–432
C
274)
7ax – 14y
a +y
274)
A)
56
B)
–1
C)
–14
D)
–56
C
B
Find the difference.
275)
–1.9 – 9.3
275)
A)
11.2
B)
7.4
C)
–11.2
D)
–7.4
Decide whether the problem is an equation or an expression.
276)
x + y – 1
276)
A)
Equation
B)
Expression
Give the numerical coefficient of the term.
277)
–2y
277)
A)
2
B)
–2
C)
2y
D)
y
278)
The product of two negative numbers is negative.
278)
A)
True
B)
False
279)
The sum of 39 and –7, divided by the product of 2 and –8
279)
A)
2(–8)
39 + (–7); –1
2
B)
39 + 7
2– (–8); –16
3
C)
39 + (–7)
2(–8) ; –2
D)
39 +–7
2(–8); –2
280)
–24(0)
280)
A)
–24
B)
0
C)
1
D)
24
Give the numerical coefficient of the term.
281)
sy
281)
A)
sy
B)
s
C)
1
D)
0
Simplify.
282)
5·18 +2·15
282)
A)
240
B)
120
C)
1380
D)
1500
B
Refer to the table to answer the question.
Production
Category Change
’98–’99 Change
’99–’00
Public Relations 3.5 4.2
Training 1.7 2.8
Sales –4.3 1.6
Catalog 2.3 –1.1
283)
Which category and year shows the largest increase?
283)
A)
Public Relations, ’99–’00
B)
Catalog, ‘98–’99
C)
Sales, ’98–’99
D)
Public Relations, ’98–’99
A
284)
When 5 times a number is subtracted from 7 times the number, the result is 14.
284)
A)
5(x – 7) =14x
B)
7x – 5x =14
C)
5x + 7x =14
D)
5x(7 – x) =14
B
C
Find the average of the numbers.
285)
–2, 12, 4, 6, 15
285)
A)
6
B)
5.8
C)
8.75
D)
7
Find the value of the expression.
286)
5[32+ 7(5 + 7)]
286)
A)
255
B)
960
C)
465
D)
99
Identify the group of terms as like or unlike.
287)
12m, 14m, –10m
287)
A)
Unlike
B)
Like
288)
{10, 8, –10, 0, 0.24}
Irrational numbers
288)
A)
8, 0, 0.24
B)
8, 0.24
C)
8, –10
D)
8
289)
The cube of a negative number is negative.
289)
A)
True
B)
False
Simplify the expression.
290)
6(y +10) –4
290)
A)
6y +36
B)
16y –4
C)
6y +6
D)
6y +56
56
291)
125
291)
A)
–125, –62, –5, 5, 62, 125
B)
–125, –25, –5, –1, 1, 5, 25, 125
C)
–125, –25, –5, 5, 25, 125
D)
–25, –5, –1, 1, 5, 25
Perform the indicated operation.
292)
–4(1) +4(6)
–5– (–7)
292)
A)
10
B)
–10
C)
14
D)
–14
293)
–7– [–20 + (20 –11)]
293)
A)
58
B)
4
C)
22
D)
–18
Simplify.
294)
7
4·1
6+4
5·1
4
294)
A)
59
88
B)
13
30
C)
59
72
D)
59
120
295)
The product of 5 and the difference between 1 and –4
295)
A)
5[1 – (–4)]; 25
B)
5[–4– 1]; –25
C)
(5)(1) – (–4); 9
D)
(5 – 1)(–4); –16
Find the sum.
296)
13 + (–12)
296)
A)
–25
B)
25
C)
–1
D)
1
Solve the problem.
297)
Company A showed a profit of $89,150 last year, while Company B had a loss of $72,740. Find the
difference between these amounts.
297)
A)
$161,890
B)
–$161,890
C)
–$16,410
D)
$16,410
298)
What value for x makes the expression 25 – x equal to 20?
298)
A)
5
B)
45
C)
15
D)
6
299)
When 9 is added to another number the result is 19.
299)
A)
9+ 19 = x; 28
B)
19 – 9 = x; 10
C)
x + 9 =19; 10
D)
x + 19 =9; –10
300)
7v3, –13v2
300)
A)
Like
B)
Unlike
301)
If a, b, and c are real numbers, is this statement true or false? –(–a) = –a
301)
A)
True
B)
False
Find the quotient.
302)
–104
–13
302)
A)
–8
B)
8
C)
1
8
D)
–2
Find the sum.
303)
3999+9+ 11+1
303)
A)
3010
B)
4020
C)
4010
D)
3020
B
Determine whether the statement is true or false.
304)
(8 + 7)[2+ (2+ 3)] <199
304)
A)
True
B)
False
A
Simplify the expression.
305)
(10z +3) – (4z –2)
305)
A)
14z +5
B)
6z +5
C)
6z +1
D)
6z –5
B
Use order of operations to simplify the expression.
306)
2+ (–21 – 4)
306)
A)
19
B)
27
C)
–15
D)
–23
D
59
B
Evaluate the expression, given x = –2, y = 3, and a = –4.
307)
7x + 2y – 9a
307)
A)
53
B)
–49
C)
–4
D)
28
State the phrase as a mathematical expression. Use x to represent the variable.
308)
A number multiplied by nine hundred fifty–three
308)
A)
953– x
B)
953+ x
C)
953x
D)
953
x
309)
{0, 7, –23, 4
5, –11
4, 2.2, 5}
Integers
309)
A)
4
B)
4, 7
C)
0, –23, 5
D)
4, –23
310)
2·2– 7 ·6 0
310)
A)
True
B)
False
311)
12 less than –19
311)
A)
12 – (–19); 31
B)
–19 – 12; –31
C)
–19 – 12; 31
D)
12 – 19; –7
312)
132
7+ – 35
7
312)
A)
154
7
B)
94
7
C)
164
7
D)
93
7
313)
The table shows the number of pupils per teacher in selected counties in a certain state.
County Pupils per Teacher
Addison 16.7
Branson 14.7
Cumberland 20.5
Dixson 12.5
Hendricks 12.3
Kendall 17.8
Putnum 13.9
Which counties have a figure greater than 12.5?
313)
A)
Hendricks
B)
Addison, Branson, Cumberland, Kendall, Putnum
C)
Dixson, Hendricks
D)
Addison, Branson, Cumberland, Dixson, Kendall, Putnum
314)
–6
314)
A)
–6
B)
6
C)
1
D)
0
Evaluate the expression, given x = –2, y = 3, and a = –4.
315)
1
6x +3
8y–1
6a
315)
A)
19
36
B)
19
6
C)
–1
6
D)
35
36
316)
2272– 52
316)
A)
True
B)
False
A
317)
– – 5
8
317)
A)
–8
5
B)
–5
8
C)
8
5
D)
5
8
D
318)
Nikki is fishing from a bank 10 feet above water level. In this location, the fish tend to feed at 31 feet
below the surface. How long must Nikki’s fish line be to reach the fish?
318)
A)
21 ft
B)
–21 ft
C)
41 ft
D)
–10 ft
C
319)
(7 – 8) –7
319)
A)
–8
B)
8
C)
22
D)
6
A
A
320)
The table shows the number of pupils per teacher in selected counties in a certain state.
County Pupils per Teacher
Addison 16.7
Branson 14.7
Cumberland 20.5
Dixson 12.5
Hendricks 12.3
Kendall 17.8
Putnum 13.9
Which counties have a figure that is at most 16.7?
320)
A)
Addison, Cumberland, Kendall
B)
Branson, Dixson, Hendricks, Putnum
C)
Cumberland, Kendall
D)
Addison, Branson, Dixson, Hendricks, Putnum
321)
240 ÷8–4
321)
A)
26
B)
228
C)
60
D)
236
322)
–10 < –19
322)
A)
True
B)
False
323)
10 ·10 –7·8
323)
A)
744
B)
5600
C)
44
D)
240
324)
17 less than the difference between 13 and –6
324)
A)
6– 13 – 17; –36
B)
17 – 13 – (–6); 10
C)
[13 – (–6)] – 17; 2
D)
–6– 13 – 17; –36
C
Find the difference.
325)
7
8–5
6–1
8
325)
A)
–1
6
B)
–1
8
C)
1
6
D)
3
8
C
326)
2m, 8m
326)
A)
Like
B)
Unlike
A
Decide if the given number is a solution to the given equation.
327)
7y + 7(y – 7) =77; 9
327)
A)
No
B)
Yes
B
Find the product.
328)
2(31)(5)
328)
A)
312
B)
310
C)
217
D)
165
B
Find the quotient.
329)
0
–52
329)
A)
0
B)
Undefined
C)
52
D)
1
330)
Twice a number less 9 equals 7.
330)
A)
9– 2x =7
B)
2x – 9 =7
C)
2(x – 9) =7
331)
25 · (–2) ·71 · 2
331)
A)
–7100
B)
–1775
C)
7095
D)
1775
332)
The table shows the number of pupils per teacher in selected counties in a certain state.
County Pupils per Teacher
Addison 16.7
Branson 14.7
Cumberland 20.5
Dixson 12.5
Hendricks 12.3
Kendall 17.8
Putnum 13.9
For which counties are the values not less than 16.7?
332)
A)
Branson, Dixson, Hendricks, Putnum
B)
Addison, Branson, Dixson, Hendricks, Putnum
C)
Cumberland, Kendall
D)
Addison, Cumberland, Kendall
333)
–8
17, –1
10
333)
A)
–8
17
B)
–1
10
A
334)
6(5f) –6(5g) =6(5f –5g)
334)
A)
Associative
B)
Commutative
C)
Distributive
D)
Identity
C
335)
2
72
335)
A)
4
7
B)
49
4
C)
22
7
D)
4
49
D
336)
8– (17 – 12)
336)
A)
–21
B)
13
C)
37
D)
3
D
337)
4.388
4
337)
A)
0.27
B)
–1.097
C)
–0.27
D)
1.097
D
Solve the problem.
338)
The windchill temperature was –7° F, and the actual temperature was 26° F. Find the difference
between the actual temperature and the windchill temperature.
338)
A)
33°F
B)
66°F
C)
19°F
D)
35°F
Perform the indicated operation.
339)
(–6) · (–8) +9+(–8)2
339)
A)
536
B)
248
C)
121
D)
25
Change the word statement to an equation. Use x as the variable.
340)
A number minus 5 equals 3.
340)
A)
5– x =3
B)
x =5– 3
C)
x – 5 =3
341)
Two is less than or equal to nine.
341)
A)
29
B)
2<9
C)
29
D)
2>9
Decide if the given number is a solution to the given equation.
342)
6m + 3 =29; 4
342)
A)
No
B)
Yes
Perform the indicated operations.
343)
5–6+6–18
343)
A)
–18
B)
42
C)
–42
D)
18
Use order of operations to simplify the expression.
344)
–18 – [(8–3) – (–1–3)]
344)
A)
–11
B)
–25
C)
–27
D)
–9
Write a numerical expression for the phrase and simplify it.
345)
The difference between 19 and –3
345)
A)
3– 19; –16
B)
19 – (–3); 16
C)
19 – (–3); 22
D)
–3– 19; –22
Perform the indicated operations.
346)
4– (–12) · (–5) + 11
346)
A)
–69
B)
128
C)
8
D)
–45
Solve the problem.
347)
A baseball team won 3 of its games by 5 runs, lost 3 of its games by 4 runs, lost 1 game by 7 runs,
and finished the season by winning its last 4 games by 3 runs. Express as a real number, how many
more or fewer runs the did the team score versus their opponents in the 11 games.
347)
A)
–3 runs
B)
3 runs
C)
8 runs
D)
22 runs
348)
–138, 20
348)
A)
–138
B)
20
Find the product.
349)
–8(17)
349)
A)
80
B)
–56
C)
–136
D)
15
Find the quotient.
350)
210
–7
350)
A)
–1
30
B)
–40
C)
30
D)
–30
Simplify by combining like terms.
351)
3(4x + 5) – (x – 8) + 2(2x + 6)
351)
A)
17x + 19
B)
15x + 19
C)
15x + 35
D)
16x + 35
Provide an appropriate response.
352)
If a, b, and c are real numbers, is this statement true or false? –(a + b) = –a – b
352)
A)
True
B)
False
Find the sum.
353)
–17.3 + [6.2 + (–6.3)]
353)
A)
–4.8
B)
17.2
C)
–17.4
D)
29.8
69
Find the product.
354)
–13(–13)
354)
A)
–169
B)
179
C)
169
D)
–179
Write a numerical expression for the phrase and simplify it.
355)
The quotient of –40 and the sum of 4 and –9
355)
A)
–40
4+ (–9); –8
B)
4+ (–9)
–40 ; 1
8
C)
–40 + 4 + (–9); –45
D)
–40
4+ (–9); 8
Find the value of the expression.
356)
2
3+8
9·9
11
356)
A)
23
99
B)
23
29
C)
14
11
D)
126
11
357)
The product of three negative numbers is positive.
357)
A)
True
B)
False
358)
–(–24) > –1
358)
A)
True
B)
False
359)
24 4
359)
A)
424
B)
424
C)
24 >4
D)
24 4
B
360)
A number multiplied by –6, subtracted from the sum of 16 and eight times the number
360)
A)
6x – 24
B)
6x – (16 +8x); –2x –16
C)
(16 +8x) + (–6)x; 16 + 2x
D)
(16 +8x) – (–6)x; 16 + 14x
D
Determine whether the statement is true or false.
361)
7· (7+ 3) + 7 ·2
7· (2– 1)<11
361)
A)
False
B)
True
A
362)
42
362)
A)
6
B)
8
C)
3
D)
16
D
363)
–7
4–6
35
363)
A)
3
10
B)
5
3
C)
3
5
D)
–1
5
A
Find the difference.
364)
–11.0 – (–8.5)
364)
A)
2.5
B)
–19.5
C)
–2.5
D)
19.5
365)
(62 –95)(45 –92)
365)
A)
11,530
B)
21,509
C)
1551
D)
–1551
C
Find the difference.
366)
1
9– – 5
9
366)
A)
4
9
B)
–4
9
C)
2
3
D)
–2
3
C
Find the sum.
367)
[–22 + (–1)] + [(–2) + (–18)]
367)
A)
5
B)
–43
C)
1
D)
3
B
Decide whether the problem is an equation or an expression.
368)
7x – 3
x + 5 –x
7+ 6
368)
A)
Expression
B)
Equation
A
C
Perform the indicated operation.
369)
–14(–2) – (–4)(–2)
–6(2) –4(–2)
369)
A)
9
B)
–5
C)
–1
D)
5
370)
3x –4y2; x = 3, y = –4.
370)
A)
–23
B)
73
C)
–55
D)
–7
Find the value of the expression.
371)
5(2 + 1) –6(1 + 1)
5(4 – 2) –23
371)
A)
9
2
B)
1
2
C)
3
8
D)
3
2
Simplify the expression.
372)
8+3(4 –4m)
372)
A)
20 +12m
B)
12 –12m
C)
20 –12m
D)
20 –4m
Provide an appropriate response.
373)
Is the statement true or false?
9y3+2y5=11y8
373)
A)
True
B)
False
374)
–5
12 +3
4
374)
A)
1
12
B)
1
C)
1
4
D)
1
3
375)
x – 3
375)
A)
a) 15 b) 1
B)
a) 1 b) 15
C)
a) 7 b) 21
D)
a) 12 b) 54
376)
–5(41)(2)
376)
A)
–410
B)
72
C)
–413
D)
–123
Answer the question.
377)
According to the rules for order of operations, the first steps in evaluating the expression 42 – 4x3
for x =2 are to substitute 2 for x and then .
377)
A)
subtract 42 from 4
B)
subtract 4 from 42
C)
multiply 4 by 2
D)
find the cube of 2
Find the quotient.
378)
–6
0
378)
A)
6
B)
0
C)
–6
D)
Undefined
379)
42
379)
A)
–42, –14, –6, –7, 7, 6, 14, 42
B)
–42, –21, –14, –6, –7, –3, –2, –1, 1, 2, 3, 7, 6, 14, 21, 42
C)
–42, –28, –14, –6, –7, –3, –2, –1, 1, 2, 3, 7, 6, 14, 28, 42
D)
–42, –7, –1, 1, 7, 42
380)
–3
4– – 5
8
380)
A)
–1
B)
1
8
C)
–1
8
D)
–1
4
381)
13 – (–4)
381)
A)
–17
B)
9
C)
17
D)
–9
Find the numerical value of the expression for a) x = 4 and b) x = 18.
382)
x + 8
x – 3
382)
A)
a) 10
21 b) 4
7
B)
a) 4
7 b) 10
21
C)
a) 26
15 b) 12
D)
a) 12 b) 26
15
Find the value of the expression.
383)
6(11 –22)
2·5·16
383)
A)
32
5
B)
21
5
C)
21
80
D)
80
21
384)
p – 5 =3; 8
384)
A)
No
B)
Yes
B
385)
Select the lesser number of 1and – –5 .
385)
A)
– –5
B)
1
A
386)
When the absolute value of a positive number equals the absolute value of a negative number, the
sum of the positive and the negative number is .
386)
A)
Not known
B)
Positive
C)
Negative
D)
Zero
D
Find the sum.
387)
–16.6 + (–5.7)
387)
A)
–22.3
B)
–10.9
C)
22.3
D)
10.9
A
76
C
Use the distributive property to rewrite the expression. Simplify if possible.
388)
6x +6z
388)
A)
6(x + z)
B)
36(x + z)
C)
6(xz)
D)
12(x + z)
Evaluate the expression, given x = –2, y = 3, and a = –4.
389)
(–4a)(–9x – 3y)
389)
A)
–432
B)
144
C)
–336
D)
–144
B
390)
9–2
390)
A)
14
B)
0
C)
7
D)
–7
C
Decide whether the problem is an equation or an expression.
391)
9(4x + 4) – 3(7x – 7)
391)
A)
Equation
B)
Expression
B
Write the phrase as a mathematical expression. Use x to represent the number. Combine like terms if possible.
392)
A number multiplied by 9, added to –5, subtracted from 2 times the sum of 6 times the number
and 4
392)
A)
9(–5+ x) + 2(6 + 4x); 13x – 33
B)
9(–5+ x) + 2(6x + 4); 21x – 41
C)
9x – 5 + 2(6 + 4x); 17x + 21
D)
2(6x + 4) – [9x + (–5)]; 3x + 13
D
A
Answer the question.
393)
Assume a is positive, b is negative, and c is positive for the expression
a · b2· c
Tell whether the value of the given expression is positive, negative or cannot be determined.
393)
A)
Negative
B)
Positive
C)
Cannot be determined
Find the quotient.
394)
–225
75
394)
A)
3
B)
–3
C)
–13
D)
–1
3
395)
–17, –15
395)
A)
–15
B)
–17
396)
According to the rules for the order of operations, what should be the first step when simplifying
the expression [7 + (–1+ 3)] + (–9)?
396)
A)
Find the sum of 7 and –9
B)
Find the sum of 7 and –1
C)
Find the sum of –1 and 3
D)
Find the sum of 3 and –9
Use the distributive property to rewrite the expression. Simplify if possible.
397)
3
5(25x +25y)
397)
A)
30xy
B)
30(x + y)
C)
5x +5y
D)
15x +15y
398)
–2
3–1
2
398)
A)
7
6
B)
–7
6
C)
–1
6
D)
–5
6
399)
The quotient of –48 and –6
399)
A)
–48
–6; 8
B)
–48
–6; 1
8
C)
(–6)(–48); 288
D)
–6
–48; 1
8
400)
–w
400)
A)
–w
B)
1
C)
–1
D)
0
Decide if the given number is a solution to the given equation.
401)
x +3
x –2=9
8; 42
401)
A)
Yes
B)
No
402)
This year corn production increased 12,000 pounds from last year on Steve’s farm.
402)
A)
–12,000
B)
12,000
403)
–13 – (–8)
403)
A)
5
B)
21
C)
–21
D)
–5
D
404)
The product of –4 and 6, subtracted from –7
404)
A)
[–7– (–4)](6); –18
B)
–7– (–4)(6); 17
C)
(–7)(–4)(6); 168
D)
–7+ (–4)(6); –31
B
405)
17 less than the difference between 8 and –3
405)
A)
(8 – 3) – 17; –12
B)
[8 – (–3)] – 17; –6
C)
17 – [8– (–3)]; 6
D)
[8 – (–3)] – 17; –12
B
406)
The quotient of –112 and the sum of 12 and 4
406)
A)
–112+ 12 + 4; –96
B)
–112
12 – 7; 7
C)
–112
12 + 4; –7
D)
12 + 4
–112 ; –1
7
C
407)
According to the rules for the order of operations, what should be the first step when simplifying
the expression [–5+ (–11 + 6)] + (–8+ 9)?
407)
A)
Find the sum of –11 and 6
B)
Find the sum of –5 and –11
C)
Find the sum of –5 and –8
D)
Find the sum of 6 and –8
A
408)
–4
3(z –14) –1
6z
408)
A)
3
2z +56
3
B)
7
6z + 14
C)
3
2z –56
3
D)
–3
2z +56
3
D
Find the sum.
409)
7.7 + [(–8.7) + (–5.3)]
409)
A)
21.7
B)
11.1
C)
4.3
D)
–6.3
D
Select the smaller of the two given numbers.
410)
6– 1, 8– 4
410)
A)
6– 1
B)
8– 4
B
411)
The life expectancy of inhabitants of a country can be approximated by the equation y =0.267x –
455, where x is a year between 1940 and 2006 and y is age in years. Use this mathematical model to
approximate life expectancy (to the nearest tenth of a year) in 1999.
411)
A)
488.2 yr
B)
529.2 yr
C)
233.7 yr
D)
78.7 yr
D
Find the sum.
412)
[23 + (–3)] + [2+ (–24)]
412)
A)
–6
B)
–2
C)
42
D)
52
B
81
Use an integer or rational number to express the number representing change.
413)
The stock market lost 20 points on Monday.
413)
A)
–20
B)
20
Decide if the given number is a solution to the given equation.
414)
9x2+ 3 =75; 4
414)
A)
Yes
B)
No
Provide an appropriate response.
415)
The table shows the number of pupils per teacher in selected counties in a certain state.
County Pupils per Teacher
Addison 16.7
Branson 14.7
Cumberland 20.5
Dixson 12.5
Hendricks 12.3
Kendall 17.8
Putnum 13.9
For which counties are the values not less than 14.7?
415)
A)
Branson, Dixson, Hendricks, Putnum
B)
Addison, Branson, Cumberland, Kendall
C)
Dixson, Hendricks, Putnum
D)
Addison, Cumberland, Kendall
416)
–(–2v –4r)
416)
A)
–2v –4r
B)
2v –4r
C)
–2v +4r
D)
2v +4r
Find the numerical value of the expression for a) x = 4 and b) x = 18.
417)
x + 9
417)
A)
a) 36 b) 162
B)
a) 5 b) 9
C)
a) 13 b) 27
D)
a) 27 b) 13
Decide whether the statement is an example of the commutative, associative, identity, inverse, or distributive property.
418)
(1 + 4) + 2 = (4+ 1) + 2
418)
A)
Distributive
B)
Identity
C)
Commutative
D)
Associative
C
Identify the group of terms as like or unlike.
419)
7b, 2, 4a
419)
A)
Unlike
B)
Like
A
420)
Some rational numbers are irrational.
420)
A)
True
B)
False
B
Find the numerical value of the expression for a) x = 4 and b) x = 18.
421)
0.82x2
421)
A)
a) 4.92 b) 21.32
B)
a) 6.56 b) 29.52
C)
a) 13.12 b)265.68
D)
a) 6.56 b) 21.32
C
422)
The quotient of a number and five
422)
A)
5x
B)
5– x
C)
5+ x
D)
x
5
D
C
423)
–11y6
423)
A)
y6
B)
11
C)
6
D)
–11
D
Find the numerical value of the expression for a) x = 4 and b) x = 18.
424)
x + 3
7
424)
A)
a) 1 b) 1
3
B)
a) 3 b) 1
C)
a) 1 b) 3
D)
a) 12
7 b) 54
7
C
425)
Every integer is an irrational number.
425)
A)
True
B)
False
B
Decide whether the problem is an equation or an expression.
426)
5x + 6 =4x + 3
8
426)
A)
Equation
B)
Expression
A
Write a numerical expression for the phrase and simplify it.
427)
Five–eighths of the sum of –4 and –12.
427)
A)
5
8+ [(–4) + (–12)]; 3
B)
(5 + 8)(–4) + (–12); –64
C)
5
8 [(–4) + (–12)]; –20
D)
5
8 [(–4) + (–12)]; –10
D
Perform the indicated operation.
428)
3– (14 –18) + (–5)
428)
A)
40
B)
–34
C)
–24
D)
2
Simplify by finding the absolute value.
429)
13
429)
A)
–13
B)
0
C)
13
D)
26
Perform the indicated operation.
430)
122+11 ·9– (10 +3·5)
430)
A)
218
B)
1370
C)
248
D)
178
Select the smaller of the two given numbers.
431)
19, –23
431)
A)
–23
B)
19
432)
–7(5 –6)
432)
A)
7
B)
–77
C)
–7
D)
–41
433)
There is an associative property for both addition and multiplication. Is there an associative
property for subtraction? If so, state the property.
433)
A)
Yes. x – (y – z) = (x – y) – z
B)
No.
Use the distributive property to rewrite the expression. Simplify if possible.
434)
3(6x +5y +4)
434)
A)
18x +5y +4
B)
18x +15y +12
C)
18x +15y +4
D)
18x +5y +12
Write a numerical expression for the phrase and simplify it.
435)
The product of –9 and 5, added to 1
435)
A)
(1)(–9+ 5); –4
B)
1+ (–9)(5); –44
C)
(–9)(5)(1); –45
D)
(–9+ 1)(5); –40
B
Find the sum.
436)
24 + [(–14) + (–7)]
436)
A)
31
B)
17
C)
45
D)
3
D
437)
–9+ (–6)
437)
A)
3
B)
–15
C)
–3
D)
15
B
Find all integer factors of the given number.
438)
130
438)
A)
–130, –26, –13, –10, –5, –2, –1, 1, 2, 5, 10, 13, 26, 130
B)
–130, –65, –26, –13, –10, –5, –4, –2, –1, 1, 2, 4, 5, 10, 13, 26, 65, 130
C)
–130, –65, –26, –13, –10, –5, –2, –1, 1, 2, 5, 10, 13, 26, 65, 130
D)
–130, –65, –13, –10, –5, –2, 2, 5, 10, 13, 65, 130
C
B
Answer the question or complete the sentence to make a true statement.
439)
The sum of a negative number and 0 will always be a number.
439)
A)
Positive
B)
Negative
440)
Every whole number is a real number.
440)
A)
True
B)
False
441)
One way to measure a person‘s cardiofitness is to calculate how many METs, or metabolic units, he
or she can reach at peak exertion. One MET is the amount of energy used when sitting quietly. To
calculate ideal METs, we can use the expression:
14.7 – age · 0.13 For women
or 14.7 – age · 0.11 For men
Researchers recommend that a person reach approximately 85% of his or her MET when
exercising. Calculate 85% of the ideal MET for a 50–yr–old woman. Then refer to the following
table. What activity can the woman do that is approximately this value?
Activity METs Activity METS
Golfing (with cart) 2.5 Skiing (water or downhill) 6.8
Walking (3 mph) 3.3 Swimming 7.0
Mowing lawn (power mower) 4.5 Walking (5 mph) 8.0
Ballroom or square dancing 5.5 Jogging 10.2
Cycling 5.7 Skipping rope 12.0
441)
A)
7.82; Skiing
B)
9.2; ,{55,Swimming
C)
7.82; Walking/x,Swiming
D)
9.2; Skiing
442)
–9, –14
442)
A)
–9
B)
–14
443)
The absolute value of any nonzero number is positive.
443)
A)
True
B)
False
A
444)
7<13
444)
A)
False
B)
True
B
445)
6
445)
A)
0
B)
–1
C)
1
D)
6
D
446)
In one state, the lowest point is 4019 feet below sea level.
446)
A)
4019
B)
–4019
B
447)
362 divided by a number
447)
A)
362
x
B)
362x
C)
362– x
D)
362+ x
A
Find the sum.
448)
26 +221 + 74+279
448)
A)
610
B)
700
C)
500
D)
600
D
88
Evaluate the expression, given x = –2, y = 3, and a = –4.
449)
2a + 3y – 5x
449)
A)
–31
B)
11
C)
9
D)
–29
Write the statement in symbols, using x as the variable, and find the solution by guessing or by using trial and error. All
solutions come from the list of integers between –12 and 12 inclusive.
450)
9 times a number is –36.
450)
A)
–9x = –36; 4
B)
–36
–4= x; 9
C)
9x = –36; –4
D)
–4x = –36; 9
451)
33
451)
A)
33
B)
9
C)
2
D)
27
Find the numerical value of the expression for a) x = 4 and b) x = 18.
452)
5x2+ 8x
452)
A)
a) 112 b) 1764
B)
a) 48 b) 1476
C)
a) 52 b) 234
D)
a) 72 b) 324
Decide if the given number is a solution to the given equation.
453)
7p + 9p – 3 =109; 7
453)
A)
No
B)
Yes
89
Simplify the expression.
454)
–5(10r + 4) + 7(3r + 8)
454)
A)
–29r + 36
B)
5r – 1
C)
–70r
D)
–29r + 4
Write a numerical expression for the phrase and simplify it.
455)
Two–ninths of the difference between –6 and –24.
455)
A)
2
9+ [(–6) – (–24)]; 12
B)
2(9) [(–6) – (–24)]; 4
C)
2(9) [(–6) – (–24)]; 324
D)
2
9 [(–6) – (–24)]; 4
Answer the question.
456)
What value for x makes the expression 1+ 8x equal to 9?
456)
A)
2
B)
4
C)
0
D)
1
List the numbers from the set that are of the type indicated.
457)
{13, 6, –6, 0, 5
9, –14
5, 4.1}
Whole numbers
457)
A)
13, 0
B)
13, –6
C)
13, –6, 0
D)
13
458)
–10, –8, –6, –4
458)
A)
B)
C)
D)
459)
In order to add –8 and –4, I should begin by finding the of the of –8 and –4.
459)
A)
Sum, absolute values
B)
Opposite, additive inverses
C)
Difference, absolute values
D)
Additive inverses, opposites
460)
26
460)
A)
0
B)
26
C)
–26
D)
1
26
Decide whether the problem is an equation or an expression.
461)
8(9 – x) +8x + 3
8
461)
A)
Equation
B)
Expression
91
462)
–5 · 4 ·67 · (–5)
462)
A)
–6700
B)
–335
C)
6700
D)
670
Simplify the expression.
463)
8a – 6a + 2
463)
A)
4a
B)
14a + 2
C)
–2a + 2
D)
2a + 2
Tell whether the statement is true or false.
464)
Some rational numbers are integers.
464)
A)
True
B)
False
465)
– 13
4, 1, 3, 51
4
465)
A)
B)
C)
D)
466)
–1
12 + 9y +13
12y – 13 +11
12y
466)
A)
53
6y – 12
B)
11 + 12
C)
10y
D)
11y –157
12
467)
4x + x
467)
A)
9x
B)
4x + 1
C)
4x
D)
5x
93
Provide an appropriate response.
468)
The bar graph shows governmental budget outlays for Country X’s Department of the Environment
for the years 2008 through 2011. Use a signed number to represent the change in outlay for (a) 2008
to 2009 and (b) 2010–2011.
65.5
40.2
29.4
22.3
468)
A)
(a) –25.3 billion dollars, (b) –7.1 billion dollars
B)
(a) 105.7 billion dollars, (b) 51.7 billion dollars
C)
(a) –105.7 billion dollars, (b) –51.7 billion dollars
D)
(a) 25.3 billion dollars, (b) 7.1 billion dollars
Use order of operations to simplify the expression.
469)
(3 – 5) – (–14 + 17)
469)
A)
–33
B)
–1
C)
5
D)
–5
D
Evaluate the expression for the given values. If necessary, round to the nearest tenth.
470)
(x + 4y)2 x =3, y =2
470)
A)
121
B)
49
C)
22
D)
11
A
94
D
Change the word statement to an equation. Use x as the variable.
471)
6 divided by a number equals 1
6 times that number.”
471)
A)
x
6=x
6
B)
6
x=6x
C)
6
x=1
6x
472)
77 –4·6·3
472)
A)
1314
B)
5
C)
64
D)
159
B
473)
9 subtracted from the product of –9.3 and 8.2
473)
A)
(–9.3)(8.2) – 9; –85.26
B)
(9)(–9.3)(8.2); –686.34
C)
9– (–9.3)(8.2); 85.26
D)
[9 + (–9.3)](8.2); –2.46
A
474)
Which one of the following is an example of a pair of like terms?
474)
A)
4r, –3w
B)
–3r4, 2r6
C)
–4s2y, 4sy2
D)
2yw, 4wy
D
475)
–4
5+1
8+7
8+4
5
475)
A)
1
B)
4
C)
2
D)
0
A
C
Find the difference.
476)
3
8– – 1
2–1
4
476)
A)
–3
8
B)
9
8
C)
9
16
D)
9
2
477)
7–3·4
477)
A)
19
B)
–5
C)
16
D)
5
Evaluate the expression for the given values. If necessary, round to the nearest tenth.
478)
10x – 5y
15 x =7, y =5
478)
A)
1
B)
3
C)
13
3
D)
19
3
Find the sum.
479)
–14 + [11 + (–21)]
479)
A)
46
B)
–24
C)
18
D)
4
Use an integer or rational number to express the number representing change.
480)
One country exported $72,100,000 more than it imported, giving it a positive trade balance.
480)
A)
–72,100,000
B)
72,100,000
481)
{ 6, –20, 0, 1
2, –2, 2.9, 2}
Natural numbers
481)
A)
0, 2
B)
2
C)
0
D)
–20, 0
Find the sum.
482)
534 +646 + (–34) + (–46)
482)
A)
1168
B)
1180
C)
1192
D)
1100
Find the difference.
483)
–4
5– – 7
10
483)
A)
–1
10
B)
–11
10
C)
1
10
D)
–3
10
484)
A football team gained 32 yards on one play, lost 26 yards on another, and gained 19 yards on the
last play of the first half. They had already gained 203 yards during the half. What was the total
yardage gain for the first half?
484)
A)
228 yd
B)
178 yd
C)
280 yd
D)
254 yd
485)
–33
5+61
7
485)
A)
11
35
B)
219
35
C)
– 219
35
D)
1
35
Evaluate the expression for the given values. If necessary, round to the nearest tenth.
486)
7x – 5y
x + 13 x =6, y =8
486)
A)
2
19
B)
26
21
C)
26
19
D)
2
21
487)
–(–8t –8r –8s)
487)
A)
8t +8r +8s
B)
8t +8r –8s
C)
–8t –8r +8s
D)
–8t –8r –8s
Determine whether the statement is true or false.
488)
2(2 + 6) + 9 ·5
3(8 + 8)20
488)
A)
True
B)
False
Simplify.
489)
52+ 92
489)
A)
56
B)
196
C)
28
D)
106
98
Provide an appropriate response.
490)
If a, b, and c are real numbers, is this statement true or false? a – 0 = –a
490)
A)
True
B)
False
491)
–8x = –96; {–12, –10, –8, 0, 8, 10, 12}
491)
A)
0
B)
–10
C)
8
D)
12
Answer Key
Testname: C1
Answer Key
Testname: C1
Answer Key
Testname: C1
Answer Key
Testname: C1
Answer Key
Testname: C1
Answer Key
Testname: C1
Answer Key
Testname: C1
Answer Key
Testname: C1
Answer Key
Testname: C1
Answer Key
Testname: C1