Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Match the property with the example of it.
1)
Identity property
1)
A)
3x · 0 =3x
B)
3x –3x = 0
C)
3x + 0 =3x
D)
3x · 0 = 0
Answer the question as instructed.
2)
Which of the following statements is true?
2)
A)
66
B)
12 <6
C)
6>6
D)
12 >6
Answer the question.
3)
Choose the expression that is equivalent to the following: 8( 1
8)
3)
A)
1
64
B)
8
8
C)
81
8
D)
8+1
8
Match the property with the example of it.
4)
Inverse property
4)
A)
–5
2–5
2= 1
B)
–5
2–2
5= 0
C)
–5
2–2
5= 1
D)
–5
2+2
5= 0
1
Answer the question as instructed.
5)
Which of the following is not a mathematical sentence?
5)
A)
4 < 7
B)
4 · 7 · 28
C)
4 · 7 = 28
D)
4 11
6)
Evaluate 18.
6)
A)
1
B)
8
C)
81
D)
1
8
A
7)
Which of the following is the correct way to evaluate the expression 6+ 6 ·4?
7)
A)
6 + 6 · 4 = 24 + 24 = 48
B)
6 + 6 · 4 = 24 + 6 = 30
C)
6 + 6 · 4 = 12 · 4 = 48
D)
6 + 6 · 4 = 6 + 24 = 30
D
Match the property with the example of it.
8)
Commutative property
8)
A)
(6 + 7) + 0 = (6+ 7)
B)
(6 + 7) + 4 –6= (7+ 6)
C)
(6 + 7) + 4 =6+ (6+ 7)
D)
(6 + 7) + 4 =6+ (7+ 4)
C
Answer the question.
9)
Choose the expression that is equivalent to the following: 8(3a) + 8(7b)
9)
A)
16(3a + 7b)
B)
8(3a + 7b)
C)
16(10ab)
D)
8(10ab)
B
2
B
10)
Which one of the following is the correct method for evaluating the expression 3x2– 5 for x =7?
10)
A)
3 · 72– 5 = 3 · 49 – 5 = 147 – 5 = 142
B)
3 · 72– 5 = 212– 5 = 441 – 5 = 436
C)
3 · 72– 5 = (21 – 5)2= 16 = 256
D)
3 · 72– 5 = 3 · 22= 3 · 4 = 12
Answer the question as instructed.
11)
Using the rules for the order of operations, what should be done first when evaluating the
expression (7 + 102)4?
11)
A)
Evaluate 102
B)
Evaluate 74
C)
Evaluate 104
D)
Add 7+ 10
Answer the question.
12)
Which phrase correctly translates the expression 8– x?
12)
A)
8 subtracted from x
B)
x less than 8
C)
x minus 8
D)
x take away 8
13)
Choose the expression that is equivalent to the following: (4x + 7y)(8y + 5x)
13)
A)
(4x + 7y)(5x + 8y)
B)
(4x + 5x)(7y + 8y)
C)
(4x + 7y)(5y + 8x)
D)
9x + 15y
14)
Choose the expression that is equivalent to the following: 0 + 5c
14)
A)
–5c
B)
0
C)
5 + c
D)
5c
3
Answer the question as instructed.
15)
Which of the following statements is false?
15)
A)
13 =13
B)
13 13
C)
13 <13
D)
13 13
Answer the question.
16)
Choose the expression that is equivalent to the following: 9x + 3y
16)
A)
3(3x + y)
B)
12xy
C)
3(3x + 3y)
D)
3(6x + y)
D)
Answer the question as instructed.
17)
84 means?
17)
A)
8·8·8·8·8
B)
8÷ 4
C)
8·8·8·8
D)
8· 4
D)
Answer the question.
18)
Choose the expression that is equivalent to the following: (8x + 6y)(6y2)
18)
A)
(8x + 6y2)(6y)
B)
(8x) + (6y)(6y2)
C)
8x + (6y + 6y2)
D)
(6y2)(8x + 6y)
D)
19)
Choose the expression that is equivalent to the following: 1(9y3)
19)
A)
9y3
B)
9y4
C)
10y3
D)
1
D)
D)
Answer the question as instructed.
20)
If Tony is heavier than Steve, then Tony’s weight is Steve’s weight.
20)
A)
less than
B)
less than or equal to
C)
greater than or equal to
D)
greater than
Match the property with the example of it.
21)
Distributive property
21)
A)
–2(x + y) = – 2x –2y
B)
–2(x + y) =2x +2y
C)
–2(x + y) =2(–x – y)
D)
–2(x + y) = – 2(y + x)
Answer the question.
22)
Choose the expression that is equivalent to the following: 4– 4
22)
A)
(4)(4)
B)
2(4)
C)
(–2)(4)
D)
4 + (–4)
23)
Which pair of values of x and y makes x – 2y equal 1?
23)
A)
x = 4 and y = 7
B)
x = 5 and y = 2
C)
x = 7 and y = 4
D)
x = 2 and y = 5
24)
Which pair of values of x and y makes 6x + y equal 12?
24)
A)
x = 6 and y = 3
B)
x = 3 and y = 6
C)
x = 0 and y = 2
D)
x = 2 and y = 0
5
Match the property with the example of it.
25)
Associative property
25)
A)
(1 + 8) + 2 = (8+ 1) + 2
B)
(1 + 8) + 2 =1+ (8+ 1)
C)
(1 + 8) + 2 =1+ (8+ 2)
D)
(1 + 8) + 0 = (1+ 8)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
26)
Write the expression 2m – (m +12) using words.
26)
Give a number that satisfies the given condition.
27)
An integer greater than –4.3 and less than –3.3
27)
Answer the question.
28)
Is the following expression undefined? 6– 6
6–6
28)
29)
A positive number multiplied by two negative numbers and then divided by a negative
number is .
29)
Provide an appropriate response.
30)
Is this statement true or false? Why? (2+ 2) – 2 =2+ (2– 2)
30)
Write the statement in words and decide whether it is true or false.
31)
13
85
4
31)
Provide an appropriate response.
32)
What property is used to combine 3y and 18y to get 21y? Explain.
32)
C
33)
How can you rewrite a subtraction of integers problem to make it easier to solve? Give an
example.
33)
Answer the question or complete the sentence to make a true statement.
34)
Under what condition will the sum of a positive number and a negative number be
positive?
34)
Give a number that satisfies the given condition.
35)
A whole number greater than 3.5
35)
Write the statement in words and decide whether it is true or false.
36)
2
53
10
36)
Provide an appropriate response.
37)
Explain what happens when an integer is multiplied by 1, –1, and 0.
37)
38)
How is the order of operations applied to integers?
38)
39)
A whole number less than 6.3.
39)
Answer the question.
40)
The reciprocal of a positive number is a number.
40)
Provide an appropriate response.
41)
Fill in the blanks with the correct numbers.
The opposite of –6 is _____.
The absolute value of –6 is _____.
The opposite of the absolute value of –6 is _____.
The absolute value of the opposite of –6 is _____.
41)
42)
What are some word phrases that mean subtraction?
42)
43)
What is the additive inverse of 0?
43)
44)
If x and y are both replaced by negative numbers, is the value of 6x – 3y positive or
negative?
44)
45)
Is the integer 0 positive or negative? Explain.
45)
Give a number that satisfies the given condition.
46)
A number between –8 and 8 that is a negative real number but not an integer
46)
Provide an appropriate response.
47)
What are some word phrases that mean addition?
47)
Write the statement in words and decide whether it is true or false.
48)
64
48)
49)
45
49)
Answer the question.
50)
Is the following expression undefined? 2–2
2–2
50)
Provide an appropriate response.
51)
Is this statement true or false? Why? (4– 4) – 4 =4– (4– 4)
51)
Answer the question or complete the sentence to make a true statement.
52)
Under what condition will the sum of a positive number and a negative number be
negative?
52)
Write the statement in words and decide whether it is true or false.
53)
12 >9+ 2
53)
Provide an appropriate response.
54)
What are some word phrases that mean multiplication?
54)
Write the statement in words and decide whether it is true or false.
55)
12 9+ 4
55)
Provide an appropriate response.
56)
Which is an example of a term with numerical coefficient 2?
(a) x2 (b) 2x7y (c) 22x2 (d) x
2
56)
57)
What values of a and b make the result negative? –(a – b)
57)
Answer the question.
58)
The average of a group of negative numbers is a number.
58)
59)
The only real number that does not have a reciprocal is .
59)
Write the statement in words and decide whether it is true or false.
60)
16
60)
Give a number that satisfies the given condition.
61)
A number between –10 and 10 that is a real number but not not an integer
61)
Provide an appropriate response.
62)
Make up a subtraction problem in which the difference between two negative numbers
results in a positive number.
62)
Give a number that satisfies the given condition.
63)
A whole number less than 3.5
63)
64)
A number between –6 and 6 that is a rational number but not an integer
64)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the quotient.
65)
–720
–90
65)
A)
–8
B)
1
8
C)
–2
D)
8
Answer the question.
66)
According to the rules for order of operations, the first steps in evaluating the expression 43 – 4x3
for x =2 are to substitute 2 for x and then .
66)
A)
multiply 4 by 2
B)
subtract 4 from 43
C)
find the cube of 2
D)
subtract 43 from 4
Use the commutative or the associative property to complete the statement. State which property is used.
67)
6+ (–4) = – 4+
67)
A)
6; associative property
B)
6; commutative property
C)
–6; commutative property
D)
–6; associative property
B
Find the value of the expression.
68)
(8 + 7)[4+ (3+ 2)]
68)
A)
35
B)
504
C)
560
D)
135
D
Find the sum.
69)
[17 + (–9)] + [2+ (–25)]
69)
A)
31
B)
–19
C)
–15
D)
53
C
Decide whether the statement is an example of the commutative, associative, identity, inverse, or distributive property.
70)
5+ 3 =3+ 5
70)
A)
Identity
B)
Distributive
C)
Commutative
D)
Associative
C
11
C
List the numbers from the set that are of the type indicated.
71)
B = {10, 8, –2, 0, 0.11}
Rational numbers
71)
A)
10, –2, 0, 0.11
B)
8
C)
8, 0.11
D)
10, 0
Write a numerical expression for the phrase and simplify it.
72)
The difference between 6 and –18
72)
A)
–18 – 6; –24
B)
18 – 6; 12
C)
6– (–18); 24
D)
6– (–18); –12
Find the sum.
73)
–5.2 + (–6.5)
73)
A)
11.7
B)
1.3
C)
–11.7
D)
–1.3
Perform the indicated operation.
74)
(–10) · (–11) +2+(–4)2
74)
A)
–92
B)
88
C)
220
D)
128
Find the average of the numbers.
75)
14, 7, 7, 14, 13
75)
A)
13.75
B)
10
C)
56
D)
11
Provide an appropriate response.
76)
To which of the following sets does –6
7 belong: natural numbers, whole numbers, integers, rational
numbers, irrational numbers, real numbers?
76)
A)
Rational numbers, natural numbers
B)
Rational numbers, real numbers
C)
Irrational numbers, real numbers
D)
Irrational numbers, natural numbers
Find the product.
77)
–5(16)
77)
A)
50
B)
–80
C)
11
D)
–30
B
Evaluate the expression for the given values. If necessary, round to the nearest tenth.
78)
3x +7y +8; x =2, y =9
78)
A)
77
B)
21
C)
49
D)
74
A
Find the quotient.
79)
–60
3
79)
A)
–1
20
B)
–20
C)
20
D)
–30
B
Decide whether the statement is an example of the commutative, associative, identity, inverse, or distributive property.
80)
9(2f) –9(8g) =9(2f –8g)
80)
A)
Identity
B)
Commutative
C)
Distributive
D)
Associative
C
B
Decide if the statement is true or false.
81)
–14 < – 17
81)
A)
False
B)
True
Graph the numbers on a number line.
82)
– 3 7
8, –7
4, 0, 5
3
82)
A)
B)
C)
D)
Find the value of the exponential expression.
83)
(0.05)3
83)
A)
0.000125
B)
0.01666667
C)
0.125
D)
0.15
Evaluate the expression for the given values. If necessary, round to the nearest tenth.
84)
x(y + 9)
7(x – y) x =7, y =5
84)
A)
1
B)
5
C)
7
D)
2
Decide if the statement is true or false.
85)
–12 –(–7)
85)
A)
True
B)
False
Solve the problem.
86)
Nikki is fishing from a bank 17 feet above water level. In this location, the fish tend to feed at 28 feet
below the surface. How long must Nikki’s fish line be to reach the fish?
86)
A)
–17 ft
B)
45 ft
C)
–11 ft
D)
11 ft
Simplify the expression.
87)
5x +6x
87)
A)
22x
B)
11x2
C)
30x
D)
11x
D
Solve the problem.
88)
The temperature at the South pole was 27° at 8 am. At 3 pm, it was –8°. By how many degrees did
the temperature drop?
88)
A)
by –19°
B)
by 19°
C)
by 35°
D)
by –35°
C
Evaluate the expression, given x = – 2, y = 3, and a = – 4.
89)
(–4a)(6x + 2y)
89)
A)
96
B)
–96
C)
224
D)
288
B
Provide an appropriate response.
90)
If a, b, and c are real numbers, is this statement true or false? 0 – a = – a
90)
A)
True
B)
False
A
B
Write the following phrase in symbols then simplify the expression.
91)
The quotient of 3 and the sum of 26 and –8.
91)
A)
3
26 – (–8) ; 3
34
B)
26 –8
3; 6
C)
3+ (26 –8); 21
D)
3
26 + (–8) ; 1
6
Change the word statement to an equation. Use x as the variable.
92)
–13
7 of a number plus 18 equals 5.
92)
A)
–13
7x =18 + 5
B)
–13
7(x + 18) =5
C)
–13
7x + 18 =5
Perform the indicated operations.
93)
1–8·9
93)
A)
73
B)
–63
C)
71
D)
–71
Simplify the expression.
94)
–8b + 3 + 6b + 3b – 8
94)
A)
b –8
B)
b + 8
C)
b + 3
D)
b –5
Tell whether the statement is true or false.
95)
Every rational number is an integer.
95)
A)
True
B)
False
Find the sum.
96)
–234 + 345
96)
A)
–111
B)
–579
C)
111
D)
579
Write a numerical expression for the phrase and simplify it.
97)
The quotient of –12 and –2
97)
A)
–2
–12 ; 1
6
B)
–12
–2; 1
6
C)
(–2)(–12); 24
D)
–12
–2; 6
D
Tell whether the statement is true or false.
98)
Every whole number is a real number.
98)
A)
True
B)
False
A
Decide if the statement is true or false.
99)
–(–27) < – 15
99)
A)
True
B)
False
B
List the numbers from the set that are of the type indicated.
100)
{9, 6, –19, 0, 2
5, –21
2, 9.2}
Whole numbers
100)
A)
9, –19
B)
9, –19, 0
C)
9
D)
9, 0
D
Provide an appropriate response.
101)
Select the lesser number of 1and – – 7 .
101)
A)
1
B)
– – 7
B
C
List the numbers from the set that are of the type indicated.
102)
{11, 6, –22, 0, 0.42}
Irrational numbers
102)
A)
6, 0.42
B)
6, –22
C)
6, 0, 0.42
D)
6
Solve the problem.
103)
During one year 31 new employees began work at Daniel’s Manufacturing Company and 13
employees left. At the beginning of the year there were 232 employees. What was the number of
employees at the end of the year?
103)
A)
250 employees
B)
263 employees
C)
188 employees
D)
276 employees
Evaluate the expression, given x = – 2, y = 3, and a = – 4.
104)
4a2– y
x + 2
104)
A)
Undefined
B)
61
4
C)
0
D)
–67
4
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.
105)
The quotient of a number and 4 is –3.
105)
A)
4x = – 1
3; –1
12
B)
x
–3=4; –12
C)
x
4= – 3; –12
D)
–12
x=4; –3
Identify the group of terms as like or unlike.
106)
–12m, –8m
106)
A)
Unlike
B)
Like
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}.
107)
The product of a number and 2 is 6.
107)
A)
No Solution
B)
2x =6; 3
C)
6x =2; 3
D)
2x =6; 2
Perform the indicated operations.
108)
25 + 15 ·25 – (–27)
108)
A)
427
B)
1027
C)
92
D)
2080
A
Use order of operations to simplify the expression.
109)
[–20.5 + (16.1 –3.5)] –2.5
109)
A)
–37.6
B)
30.6
C)
–5.4
D)
–10.4
D
Find the sum.
110)
– 9 8
9+15 7
9
110)
A)
24 8
9
B)
58
9
C)
23 8
9
D)
57
9
B
Decide whether the problem is an equation or an expression.
111)
2x + 6 =9x + 4
7
111)
A)
Equation
B)
Expression
A
19
B
Write a numerical expression for the phrase and simplify it.
112)
The sum of 7 and –7, decreased by 8
112)
A)
[7 + (–7)] + 8; 8
B)
[7 + (–8)] + 7; 6
C)
[7 + (–7)] – 8; –8
D)
[7 – (–7)] – 8; 6
Find the quotient.
113)
42
–2
113)
A)
21
B)
–21
C)
–1
21
D)
–31
B
114)
9
14 ÷ – 2
15
114)
A)
–3
35
B)
–135
28
C)
28
135
D)
135
28
B
Write a numerical expression for the phrase and simplify it.
115)
The sum of 43 and –3, divided by the product of 4 and –5
115)
A)
43 + (–3)
4(–5) ; –2
B)
43 + 3
4– (–5) ; – 40
C)
4(–5)
43 + (–3) ; –1
2
D)
43 +
–3
4(–5); –2
A
Use an integer or rational number to express the number representing change.
116)
This year corn production increased 25,000 pounds from last year on Steve’s farm.
116)
A)
25,000
B)
–25,000
A
C