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integer operation

Total questions: 191

Worksheet time: 5hrs 52mins

Name
Class
Date
1.
0 - 16
a)
16
b)
0
c)
-16
d)
5
2.
-10+4
a)
-14
b)
14
c)
-6
d)
6
3.
-7 x 4
a)
24
b)
28
c)
-28
d)
-24
4.
-6 x 7
a)
42
b)
-42
c)
48
d)
-48
5.
-9 + 9
a)
18
b)
-18
c)
0
d)
81
6.
5 - (-12)
a)
-7
b)
7
c)
17
d)
-17
7.
When multiplying or dividing a NEGATIVE number and a NEGATIVE number,  your result will be...
a)
Negative
b)
Positive
c)
The sign of the larger absolute value
d)
The sign of the smaller absolute value
8.
The absolute value of a number is always positive.
a)
True
b)
False
9.
(-6)2=
a)
36
b)
12
c)
-36
d)
-12
10.
Alex wrote checks on Tuesday for $35 and $45. He also made a deposit in his checking account of $180. Find the overall change in the amount in his checking account.
a)
$90 increase
b)
$100 increase
c)
$80 decrease
d)
$100 decrease
11.
Tomas works as an underwater photographer. He starts at a position that is 15 feet below sea level. He ascends 9 feet because he chases a turtle and then descends 12 feet to take a photo of a coral reef.  Find his position relative to sea level when he took the photo.
a)
35 feet below sea level
b)
6 feet below sea level
c)
18 feet below sea level
d)
36 feet below sea level
12.
(-24) - (-8)?
a)
-32
b)
32
c)
-16
d)
16
13.
9 - (-10)
a)
-1
b)
-19
c)
1
d)
19
14.
One morning, the temperature was 5 degrees below zero Fahrenheit (F). By noon, the temperature rose 20 degrees F and then dropped 8 degrees F by evening. What was the evening temperature?
a)
17 degrees below zero
b)
15 degrees below zero
c)
12 degrees above zero
d)
7 degrees above zero
15.
8+-7-(-6)+1
a)
-7
b)
16
c)
8
d)
-4
16.
A dolphin is swimming 10 feet below the surface. It descends another 12 feet before rising 4 feet. Which of the following would be the correct way to solve this word problem?
a)
-10 + -12 + -4
b)
-10  - 12 + 4
c)
10 - 12 - 4
d)
-10 + 12 + 4
17.
16 + (-13) + 5=
a)
8
b)
-24
c)
2
d)
34
18.
-2/1=
a)
1/2
b)
-2
c)
2
d)
none of these
19.
Which is NOT an integer?
a)
15
b)
82
c)
-13
d)
-15.5
20.
- I 50 I
a)
50
b)
-50
21.
Express an integer: a debt of $50
a)
50
b)
-50
22.
Express as an integer:  at sea level
a)
0
b)
-0
c)
1
d)
-10
23.
What is the opposite of 10? 
a)
10
b)
-10
c)
0
d)
20
24.
What is the sum of the absolute value of 5 and the absolute value of -15? 
a)
-20
b)
20
c)
10
d)
-10
25.
What is the distance from -7 to 5 on a number line? 
a)
12
b)
-12
c)
2
d)
-4
26.
A submarine was 1800 ft below sea level. It dove another 1500 feet deeper. Which integer represents its location? 
a)
-300
b)
-1300
c)
-3300
d)
300
27.
What are 2 integers with an absolute value of 15? 
a)
15 and -10
b)
30 and 15
c)
15 and -15
d)
0 and -15
28.
Which is not an integer?  
a)
-5
b)
12
c)
0
d)
-1/2
29.
-7 - 2
a)
-9
b)
9
c)
5
d)
-5
30.
10 + (-4) = ?
a)
-6
b)
6
c)
14
d)
-14
31.
0 - 5 
a)
-5
b)
5
c)
0
d)
10
32.
-8 - (-4) =
a)
12
b)
-12
c)
4
d)
-4
33.
-22 + (-9)
a)
-11
b)
-31
c)
11
d)
31
34.
-8 + 20
a)
-28
b)
28
c)
14
d)
12
35.
-3 +(- 2)
a)
-1
b)
5
c)
-5
d)
-6
36.
Which is NOT an integer?
a)
15
b)
82
c)
-13
d)
-15.5
37.

Penny and her cousins each have a different bank balance. What is the sum of all the accounts?

a)

-3

b)

7

c)

-2

d)

4

38.

7 + (-13)

a)

-6

b)

6

c)

-20

d)

20

39.

-5 x 9

a)

-45

b)

45

c)

4

d)

yellow

40.

-32 / 8

a)

4

b)

-4

c)

256

d)

-256

41.

-56 / -7

a)

8

b)

-8

c)

392

d)

-392

42.

Over a period of 12 hours, the temperature dropped 60 degrees. What was the average change in temperature in one hour?

a)

720 degrees

b)

5 degrees

c)

-5 degrees

43.

Ashley and her sister decide to split the cost of dinner, which is $26. By how much is each sister's bank account impacted?

a)

-$26

b)

$26

c)

-$13

d)

-$52

44.

Julio has $33 in his checking account. He then writes a check for $42. What is the balance of his bank account?

a)

$75

b)

-$75

c)

-$9

d)

$9

45.

A checking account is overdrawn by $13 on both Friday and Saturday. What is the total balance of the bank account?

a)

-$26

b)

$26

c)

-$13

46.

3 + 4 =

a)

7

b)

-7

c)

1

d)

-1

47.

3 + (-6) =

a)

-3

b)

3

c)

-18

d)

18

48.

-6 + (-8) =

a)

-14

b)

14

c)

-48

d)

48

49.

When ADDing two integers with the SAME SIGN...

a)

Add and keep the same sign.

b)

Add and change the sign.

c)

Subtract and keep the same sign.

d)

Subtract and change the sign.

50.

When subtracting two integers...

a)

Add them together

b)

Ignore the signs and subtract

c)

Change the operation into addition and the second number's sign

d)

It will always be negative

51.

When multiplying two numbers with the SAME SIGN...

a)

Your answer is negative

b)

Your answer is positive

c)

It depends on if they are positive or negative numbers

d)

Your answer has the same sign.

52.

When dividing two numbers with DIFFERENT signs...

a)

Your answer takes the sign of the bigger number

b)

You can't divide

c)

Your answer is positive

d)

Your answer is negative

53.
14 + (22 - 2) =
a)
34
b)
37
c)
40
54.

7 +(13)7\ +\left(-13\right)  

a)

6

b)

-6

c)

20

d)

-20

55.

(9) +(9) = \left(-9\right)\ +\left(-9\right)\ =\  

a)

-18

b)

18

c)

0

d)

81

56.

(4 ) 16 = \left(-4\ \right)-\ 16\ =\  

a)

12

b)

 - 12

c)

- 20

d)

 20

57.

(6)  (8) = \left(-6\right)\ -\ \left(-8\right)\ =\  

a)

 2

b)

- 2

c)

 14

d)

- 14

58.

(5) × 9 = \left(-5\right)\ \times\ 9\ =\  

a)

45

b)

- 45

c)

14

d)

- 14

59.

(6) × (12) = \left(-6\right)\ \times\ \left(-12\right)\ =\  

a)

18

b)

- 18

c)

72

d)

- 72

60.

32 ÷ 8 = -32\ \div\ 8\ =\  

a)

24

b)

- 24

c)

4

d)

- 4

61.

56 ÷ 7 = -56\ \div\ -7\ =\  

a)

b)

- 8

c)

49

d)

- 49

62.

Subtracting a negative is the same thing as...

a)

Becoming more negative

b)

Adding a positive

c)

Becoming 0

d)

Impossibility

63.

When dividing two numbers with DIFFERENT signs...

a)

Your answer takes the sign of the bigger number

b)

You can't divide

c)

Your answer is positive

d)

Your answer is negative

64.
18 + 2 x 4
a)
80
b)
26
c)
24
d)
13
65.
3(92)
a)
243
b)
25
c)
126
d)
54
66.
34 + [ 16 - (8-3)]
a)
 34
b)
29 
c)
45
d)
28
67.
Compare. Use <, > or =.
23 _____ 42
a)
<
b)
>
c)
=
68.
Find the Value.
140
a)
14
b)
0
c)
1
d)
1/14
69.
22 + 3 x 4 − 12
a)
16
b)
4
c)
8
d)
129
70.
Which step do I do last? 
24 - 3 ÷ (6 - 3 ) 
a)
24 -3 
b)
6 -3 
c)
24 - 1 
d)
3 ÷ 3
71.
What step do you do after parenthesis? 
14 - 3 + (2 x 4) 
a)
14 - 3 
b)
3 + 8 
c)
3 + 2 
d)
2 x 4 
72.
What is 10 cubed?
a)
10
b)
30
c)
100
d)
1000
73.
(7-4)2 + (20-19) - 10
a)
-3
b)
57
c)
0
d)
1
74.
Half  of  12is
a)
12
b)
144
c)
72
d)
24
75.
4(8) ÷ (8 − 6)
a)
-2
b)
18
c)
-1
d)
16
76.
7[12 − (6 − 2) ÷ 4]
a)
7
b)
77
c)
14
d)
0
77.
What does the E in PEMDAS stand for?
a)
Exceptional
b)
Egg
c)
Exponent
78.
Which operation is performed FIRST?
(13 - 1) + 4
a)
addition
b)
subtraction
c)
multiplication
79.
Which operation is performed SECOND?
(13 - 1) + 4
a)
addition +
b)
subtraction -
c)
multiplication X
80.
Which operation is performed FIRST?
25 x (3-1)
a)
multiplication
b)
subtraction
c)
division
81.
Which operation is performed SECOND?
44 ÷ 2 X (3 -1)
a)
muliplication X
b)
division ÷
c)
subtraction -
82.
Which operation is performed FIRST?
44 ÷ 2 X (3 -1)
a)
muliplication X
b)
division ÷
c)
subtraction -
83.
Which operation is performed SECOND?        
(32 ÷ 8) + 27 - 11
a)
division ÷
b)
addition +
c)
subtraction -
84.
Which operation is performed SECOND?
(40 x 4) - 33
a)
multiplication X
b)
subtraction
c)
division ÷
85.
Which operation is performed FIRST:
38 + (9 x 6) ÷ 3
a)
addition +
b)
division ÷
c)
multiplication X
86.
Which operation is performed SECOND :
38 + (9 x 6) ÷ 3
a)
multiplication
b)
addition
c)
division
87.
14 + (22 - 2) =
a)
34
b)
37
c)
40
88.
Solve:
38 + (9 x 6) ÷ 3
a)
40
b)
65
c)
56
89.
20 x 2 - (10 - 4)
a)
22
b)
30
c)
34
90.
(23 + 24) -10 =
a)
37
b)
27
c)
47
91.
(2 x 5) + 18
a)
48
b)
20
c)
28
92.
Solve:
(32 ÷ 8) + 27 - 11
a)
10
b)
20
c)
30
93.
Solve:
(40 x 4) - 33
a)
100
b)
125
c)
127
94.
(2 + 2) - 1
a)
4
b)
2
c)
3
95.

Pick the correct sequence of steps for Order of Operations:

a)

Parentheses, Multiplication/Division, Addition/Subtraction, Brackets, Braces

b)

Multiplication/Division, Addition/Subtraction, Parentheses, Brackets, Braces

c)

Parentheses, Brackets, Braces, Multiplication/Division, Addition/Subtraction

d)

Parentheses, Braces, Brackets, Addition/Subtraction, Multiplication/Division

96.
15 + 7 × 2 – 11 + 35=
a)
38
b)
251
c)
53
d)
50
97.
(7 + 41) ÷ 2 – 15 =
a)
19
b)
9
c)
25
d)
3
98.
18 + (6 – 2) × 2 =
a)
26
b)
29
c)
44
d)
40
99.
12 - 4 x 2 = 
a)
16
b)
4
c)
8
d)
18
100.

(24 - 16) ÷ 8 =

a)

8

b)

1

c)

2

d)

7

101.

(82 ÷ 2) × 3 – 17 =

a)

206

b)

100

c)

106

d)

5

102.

Which operation would you do first in the following equation?

10 - 4 ÷ 1 x 5

a)

Subtraction

b)

Division

c)

Multiplication

d)

Addition

103.

Pick the correct sequence of steps for Order of Operations:

a)

Parentheses, Multiplication/Division, Addition/Subtraction, Brackets, Braces

b)

Multiplication/Division, Addition/Subtraction, Parentheses, Brackets, Braces

c)

Parentheses, Brackets, Braces, Multiplication/Division, Addition/Subtraction

d)

Parentheses, Braces, Brackets, Addition/Subtraction, Multiplication/Division

104.

What would be my first step? 3 + 4 x 6 - 4 =

a)

Addition

b)

Multiplication

c)

Subtraction

d)

Division

105.

Which operation would you do first?

(12 + 10) ÷ 10 x 14 - 6

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

106.
Which operation would you do first?
( 12 + 10) ÷ 10 · 14 - 6
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
107.
12 - 4 x 2 = 
a)
16
b)
4
c)
8
d)
18
108.

Which operation would you do first in the following equation?

10 - 4 ÷ 1 x 5

a)

Subtraction

b)

Division

c)

Multiplication

d)

Addition

109.
(+4) + (-7)
a)
3
b)
-3
c)
-11
d)
+11
110.

What is the Order of Operations?

a)

A. Addition, Subtraction, Multiplication, Division, Exponents, and Parenthesis

b)

B. Addition, Subtraction, Multiplication, Division

c)

C. Addition, Subtraction, Multiplication, Division, and Word Problems

d)

D. Addition, Subtraction, Multiplication, Division, Exponents, Parenthesis, Brackets, and Braces

111.
6·5-(4+2)÷2
a)
60
b)
24
c)
27
d)
12
112.
82 +(7-4)2
a)
74
b)
72
c)
70
d)
73
113.
82-72
a)
5
b)
2
c)
15
d)
1
114.
32+42-(4x2)
a)
14
b)
9
c)
9
d)
17
115.
75 ÷ 5 × 9 – 9
a)
126
b)
226
c)
711
d)
300
116.
(82 ÷ 2) × 3 – 17
a)
206
b)
100
c)
106
d)
5
117.
Solve the following:
(2 + 7 - 1) ÷ 22
a)
16
b)
2
c)
72.25
d)
8.75
118.
What are the steps to solve the following expression?
50 − 16 ÷ 2 ∗ (12 + 4)
a)
parentheses
multiplication
subtraction
division
b)
parentheses
multiplication
division
subtraction
c)
parentheses
division
multiplication
subtraction
d)
parentheses
subtraction
multiplication
division
119.
Solve the following:
91 + 27 ÷ (72 ÷ 24)
a)
100
b)
96
c)
90
d)
127
120.
Simplify the following:
(2 + 7 - 1) ÷ 22
a)
16
b)
2
c)
72.25
d)
8.75
121.
Simplify the following:
5 - 62 ÷ 4 - 3
a)
1
b)
-10.75
c)
-31
d)
-7
122.
-2 ⋅ (3 + 8 ÷ 4)2
a)
-16
b)
1.375
c)
4
d)
-50
123.
8- 20 ÷ 2 x 5
a)
14
b)
10
124.
5 + (2+1)3
a)
512
b)
14
c)
32
d)
24
125.
-2 ⋅ (3 + 8 ÷ 4)2
a)
-16
b)
1.375
c)
4
d)
-50
126.
What does 32 mean?
a)
3 x 2
b)
3 x 3
c)
2 x 2 x 2
127.
Which operation would you do first in the following equation?
10 - 4 ÷ 1 · 5
a)
Subtraction
b)
Division
c)
Multiplication
d)
Addition 
128.
Evaluate the equation:
(10+5) -6
a)
9
b)
10
c)
11
d)
12
129.
Evaluate the equation:
5 · 2 - (11 - 7)
a)
10
b)
4
c)
6
d)
11
130.

(4 + 3)2+5 x 3

a)

57

b)

64

c)

29

d)

44

131.
a)

-31

b)

-40

c)

40

d)

-6

132.
a)

48

b)

-16

c)

45

d)

-48

133.
a)

-13

b)

-40

c)

50

d)

40

134.
a)

-121

b)

-117

c)

121

d)

126

135.
a)

-52

b)

-56

c)

-61

d)

-60

136.
a)

1

b)

-30

c)

-20

d)

-29

137.
a)

6

b)

-6

c)

12

d)

3

138.
a)

-72

b)

72

c)

-99

d)

-90

139.
a)

-162

b)

27

c)

-2

d)

2

140.
a)

0

b)

-1

c)

8

d)

-4

141.
a)

-3

b)

-108

c)

0.3̅3

d)

-7

142.
a)

-8

b)

8

c)

248

d)

-248

143.
a)

-7

b)

8

c)

24

d)

-24

144.
a)

-112

b)

9

c)

-7

d)

112

145.
a)

8

b)

-8

c)

-0.125

d)

-7

146.
a)

3

b)

-5

c)

-9

d)

9

147.
a)

225

b)

-9

c)

9

d)

-1

148.
a)

22

b)

-7

c)

-10

d)

10

149.

The product of a negative number and a negative number is...

a)

a positive number

b)

a negative number

150.

Select ALL that have a positive solution

a)

3 × 5

b)

15 ÷ -5

c)

-10 × -5

d)

-4 × 6

e)

-30 ÷ -6

151.
-3(-4)
a)
-12
b)
c)
-7
d)
12
152.
-8(0)=
a)
-8
b)
8
c)
0
d)
-80
153.
-30/-10=
a)
-30
b)
-3
c)
3
d)
30
154.
When multiplying or dividing a NEGATIVE and POSITIVE number your result will be...
a)
Positive
b)
Negative
c)
Depends on which is bigger.
155.
44/-4=
a)
11
b)
-8
c)
-11
d)
-1/11
156.
50/10 x (-5) =
a)
-25
b)
50
c)
25
d)
-50
157.
-4 ÷ (-6) =
a)
24
b)
-24
c)
2∕3
d)
-2∕3
158.
-3 x 4 x (-7) =
a)
81
b)
82
c)
84
d)
-84
159.
-5 x -7
a)
35
b)
-35
c)
-12
d)
12
160.
(-7)(6) 
a)
-13
b)
-48
c)
42
d)
-42
161.
-9(-5) 
a)
-45
b)
54
c)
45
d)
14
162.
-72 divided by -8
a)
-9
b)
9
c)
6
d)
-12
163.
When you divide a positive by a positive your answer will be ___________.
a)
positive
b)
negative 
c)
zero
d)
green
164.
-2/3(0)
a)
-2/3
b)
0
c)
-3/2
d)
-6
165.
-2.5(6.7)
a)
16.75
b)
16.23
c)
16
d)
-16.75
166.
(-3)2
a)
-6
b)
-9
c)
9
d)
6
167.
(-2)3
a)
-8
b)
8
c)
-6
d)
6
168.
-8 x |-8|
a)
15
b)
64
c)
-64
d)
16
169.
5 x |-9|
a)
-45
b)
13
c)
-25
d)
45
170.
Which shows the following integers in order from least to greatest?
-5, 8, -9, -11, 0, 6
a)
8, 6, 0, -5, -9, -11 
b)
-11, -9, -5, 0, 6, 8 
c)
-11, -9, -5, 0, 8, 6
d)
None of the above
171.

6×7

a)

42

b)

52

c)

48

d)

49

172.

x3x4 =x^3\cdot x^4\ =  

a)

x12 x^{12\ }  

b)

x1x^{-1}  

c)

x7x^7  

d)

x34x^{34}  

173.

x5x^{-5}  =

a)

1x5\frac{1}{x^{-5}}  

b)

1x5\frac{1}{x^5}  

c)

x51\frac{x^5}{1}  

d)

x51\frac{x^{-5}}{1}  

174.

m2m6m=m^2\cdot m^6\cdot m=  

a)

m8m^8  

b)

m12m^{12}  

c)

m4m^4  

d)

m9m^9  

175.

x3x7x2x^{-3}\cdot x^7\cdot x^2  =

a)

x6x^6  

b)

x12x^{12}  

c)

x42x^{-42}  

d)

x12x^{-12}  

176.

x9x4\frac{x^9}{x^4}  =

a)

x13x^{13}  

b)

x36x^{36}  

c)

x5x^5  

d)

x5x^{-5}  

177.

x17x8\frac{x^{17}}{x^8}  

a)

x9x^9  

b)

x25x^{25}  

c)

x9x^{-9}  

d)

x25x^{-25}  

178.

9x23x=\frac{9x^2}{3x^{ }}=  

a)

3x23x^2  

b)

3x3x

c)

9x9x  

d)

6x6x  

179.

(x7)2\left(x^7\right)^2  =

a)

x14x^{14}  

b)

x9x^9  

c)

x5x^5  

d)

2x72x^7  

180.

(a3b5)7\left(a^3b^5\right)^7  =

a)

a3b35a^3b^{35}  

b)

a10b12a^{10}b^{12}  

c)

a8b8a^8b^8  

d)

a21b35a^{21}b^{35}  

181.

3650=365^0=  

a)

0

b)

1

c)

365

d)

1365\frac{1}{365}  

182.

y0=y^0=  

a)

y

b)

0

c)

1

d)

10

183.

If a number or variable does not have an exponent, we can assume the exponent is:

a)

0

b)

1

184.

10×10×10×10×10=10\times10\times10\times10\times10=  

a)

10×510\times5  

b)

10510^5  

185.

a5b10a3b6=\frac{a^5b^{10}}{a^3b^6}=  

a)

a8b16a^8b^{16}  

b)

a2b4a^2b^4  

c)

a15b60a^{15}b^{60}  

d)

a2b16a^2b^{16}  

186.

Which number is the BASE? 272^7 =128

a)

2

b)

7

c)

128

d)

272^7  

187.

103=10^3=  

a)

10×10×1010\times10\times10  

b)

10×310\times3  

c)

10+10+1010+10+10  

d)

10,000

188.

The product rule says that when you are multiplying two exponents with the same base, you keep the base and ________ the exponents

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

189.

The quotient rule says that when you are dividing two exponents with the same base, you keep the base and __________ the exponents.

a)

Add

b)

Subract

c)

Multiply

d)

Divide

190.

(x5)4\left(x^5\right)^4  

The power of a power rule says that when an exponential expression is raised to a power (as shown above), you should _________ the inner and outer exponents

a)

add

b)

subtract

c)

multiply

d)

divide

191.

(ab2)8\left(ab^2\right)^8  =

a)

ab16ab^{16}  

b)

a8b16a^8b^{16}  

c)

a9b10a^9b^{10}  

d)

ab10ab^{10}