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Worksheets

Expressions, Operations, and Integers

Total questions: 161

Worksheet time: 4hrs 19mins

Name
Class
Date
1.

-4(2)

a)

-6

b)

-8

c)

6

d)

8

2.

-9 + (-6)

a)

-15

b)

-3

c)

15

d)

3

3.
a)

31

b)

60

c)

-31

d)

-60

4.

7 - (-4)

a)

11

b)

3

c)

-11

d)

-3

5.

-7(-3)

a)

-21

b)

-4

c)

21

d)

-10

6.
a)

9

b)

-3

c)

-7

d)

3

7.

9 - 5

a)

4

b)

-4

c)

-14

d)

14

8.
-20+(-11)
a)
31
b)
9
c)
-9
d)
-31
9.
a)

-5

b)

-20

c)

5

d)

-30

10.
a)

-26

b)

14

c)

26

d)

4

11.

3 + 4 =

a)

7

b)

-7

c)

1

d)

-1

12.

3 + (-6) =

a)

-3

b)

3

c)

-18

d)

18

13.

3 - 9 =

a)

12

b)

6

c)

-6

d)

3

14.

-6 + (-8) =

a)

-14

b)

14

c)

-48

d)

48

15.

-8 / 4 = (divide)

a)

1

b)

2

c)

-2

d)

-4

16.

-4 - (-4) =

a)

8

b)

-4

c)

0

d)

-8

17.

-5 - 7 =

a)

12

b)

-12

c)

-2

d)

2

18.

-14 + 5 =

a)

19

b)

-9

c)

11

d)

9

19.

-14 / -2 = (divide)

a)

-7

b)

7

c)

-16

d)

-12

20.

-8 - (-3) =

a)

5

b)

11

c)

-11

d)

-5

21.
-14 + (-3)
a)
-17
b)
11
c)
-11
d)
17
22.
-10 + 10
a)
20
b)
0
c)
-20
d)
1,000,000
23.
28 + (-30)
a)
-2
b)
2
c)
58
d)
-58
24.
-2 + 4 
a)
-2
b)
2
c)
0
d)
-4
25.
5-19
a)
14
b)
24
c)
-14
d)
-24
26.
-7 - 2
a)
-9
b)
9
c)
5
d)
-5
27.
19 - (-19)
a)
0
b)
36
c)
26
d)
38
28.
-7 - (-2) = ?
a)
9
b)
-9
c)
-5
d)
5
29.
If I have a negative multiplied with a positive, what will the answer be?
a)
Positive 
b)
Negative 
30.
(-9)(-8)
a)
-72
b)
72
c)
81
d)
-81
31.
Multiply
(5) • (–9) • (–2)
a)
90
b)
-45
c)
-90
d)
47
32.
Solve:
(-2)(-1)(-3)(-4)(-1)
a)
-11
b)
24
c)
-24
d)
11
33.
4(-20)
a)
80
b)
-80
c)
24
d)
-24
34.
-24 ÷ (-8)
a)
32
b)
-3
c)
-16
d)
3
35.
225 ÷ (-15)
a)
-15
b)
15
c)
-210
d)
240
36.
44/-4=
a)
11
b)
-8
c)
-11
d)
-1/11
37.
(-6)2=
a)
36
b)
12
c)
-36
d)
-12
38.
Mark and Sally went to the mall. Mark borrowed $2 from Sally for lunch.Then, he gave Sally $17 for a new t-shirt. How much does Sally have to pay in debt?
a)
19
b)
15
c)
-19
d)
-15
39.
Michael boards an elevator at the 23rd floor. She travels up 14 floors, and then down 7 floors. What floor did she finally end up on?  
a)
44
b)
-2
c)
16
d)
30
40.
Hailey’s bank statement showed that she owed $350. She made a deposit of $200. She purchased gasoline for $23.  She made a deposit of $35, but then purchased a book for $15.  What is her new balance?
a)
-$153
b)
$547
c)
$153
d)
-$77
41.

Subtracting a negative is the same thing as...

a)

Becoming more negative

b)

Adding a positive

c)

Becoming 0

d)

Impossibility

42.

If you ADD a NEGATIVE...

a)

Your total becomes more negative

b)

Your total becomes more positive

c)

Your total doesn't change

d)

Your total is 0

43.

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.

44.

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

45.

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.

46.

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

47.

5+7=?-5+7=?  

a)

12

b)

2

c)

-2

d)

-12

48.

12+(3)12+(-3)  

a)

9

b)

-9

c)

15

d)

-15

49.

6  10 = ?-6\ -\ 10\ =\ ?  

a)

-4

b)

4

c)

16

d)

-16

50.

7  13 = ?7\ -\ 13\ =\ ?  

a)

6

b)

-6

c)

20

d)

-20

51.

7  8 =?-7\ \cdot\ -8\ =?  

a)

56

b)

-56

c)

42

d)

15

52.

12  4 =?12\ \cdot\ -4\ =?  

a)

48

b)

-48

c)

24

d)

8

53.

72÷12 =?-72\div12\ =?  

a)

8

b)

-8

c)

-6

d)

6

54.

36÷4=?-36\div-4=?  

a)

-9

b)

9

c)

12

d)

-12

55.

3  (7)=?-3\ -\ \left(-7\right)=?  

a)

10

b)

-10

c)

4

d)

-4

56.

In the Sahara Desert one day it was 136°F. In the Gobi Desert a temperature of -50°F was

recorded. What is the difference between these two temperatures?

a)

86°F

b)

186°F

c)

-86°F

d)

-186°F

57.

In Buffalo, New York, the temperature was -14°F in the morning. If the temperature dropped 7°F, what is the temperature now?

a)

7°F

b)

21°F

c)

-21°F

d)

-7°F

58.

Mt. Everest, the highest elevation in Asia, is 29,028 feet above sea level. The Dead Sea, the lowest elevation, is 1,312 feet BELOW sea level (HINT: that's -1,312). What is the difference between these two elevations?

a)

30,340 feet

b)

27,716 feet

c)

-27,716 feet

d)

-30,340 feet

59.

Which of the following expressions best represents the model?

a)

-7 - 5

b)

-7 + 5

c)

7 - 5

d)

-5 - (-7)

60.

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

61.

7 + (-13)

a)

-6

b)

6

c)

-20

d)

20

62.

-4 - 16

a)

-20

b)

20

c)

-12

d)

12

63.

3 - 11

a)

-8

b)

8

c)

-14

d)

14

64.

-5 x 9

a)

-45

b)

45

c)

4

d)

yellow

65.

-32 / 8

a)

4

b)

-4

c)

256

d)

-256

66.

-56 / -7

a)

8

b)

-8

c)

392

d)

-392

67.

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

68.

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

69.

Which expression best represents the model?

a)

-3 - 4

b)

-3 - (-4)

c)

3 + (-4)

d)

7 - 4

70.

Which expression best represents the model?

a)

-10 x 5

b)

5 x -2

c)

-2 x -5

d)

-10 x 2

71.

-9 + (-9)

a)

0

b)

18

c)

-18

72.

-6 - (-8)

a)

-2

b)

2

c)

-14

d)

14

73.

11 - 15

a)

-4

b)

4

c)

-26

d)

26

74.

-6 x (-12)

a)

-72

b)

72

c)

2

d)

-2

75.

Which of the following expressions best represents the model?

a)

-6 + 3

b)

3 - 6

c)

-6 - (-3)

d)

-3 - 6

76.

Which of the following expressions best represents the model?

a)

5 - 7

b)

5 - 12

c)

-7 + 12

d)

-7 + 5

77.

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

78.

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

79.

Which phrase describes this expression?


6y + 4

a)

6 times the sum of y and 4

b)

The product of 6 and 4 times y

c)

4 more than the sum of 6 and y

d)

The product of 6 and y plus 4

80.

In an algebraic expression, what is the word that describes the letter that stands for an unknown number?

a)

term

b)

coefficient

c)

variable

d)

product

81.

" add s to 7" in algebraic expression is ________.

a)

s + 7

b)

7 + s

c)

7s

d)

7/s

82.

"multiply 2 by v" is _________ in algebraic expression.

a)

2v

b)

2/v

c)

2 + v

d)

2 - v

83.

"subtract u from half of t" in algebraic expression is______.

a)

t/2 - u

b)

u - t/2

c)

2t - u

d)

u - 2t

84.

" subtract 10 from twice t" is ______ in algebraic expression.

a)

2t - 10

b)

10 - 2t

c)

2(t - 10)

d)

none of these

85.

" add s to 7" in algebraic expression is ________.

a)

s + 7

b)

7 + s

c)

7s

d)

7/s

86.

Translate: "multiply p by 5 and subtract 2"

a)

2 - 5p

b)

5p - 2

c)

p(5 - 2)

d)

5/p - 2

87.

"halve n and add 3" is _________________ in algebraic expression.

a)

3 + 2/n

b)

2n + 3

c)

n/2 + 3

d)

2/n + 3

88.

"double i and subtract 2" in algebraic expression is________.

a)

2(2i)

b)

2i/2

c)

2 - 2i

d)

2i - 2

89.

"add 4 to j" in algebraic expression is _____.

a)

4 + j

b)

j + 4

c)

4j

d)

4/j

90.

The proper Algebraic expression of " multiply g and 4"

a)

g4

b)

4g

c)

4/g

d)

g/4

91.

"The quotient of x and y" is ______ in algebraic expression.

a)

x/y

b)

y/x

c)

xy

d)

x + y

92.
the product of x and sixteen
a)
x + 16
b)
x - 16
c)
16x
d)
x/16
93.

Six more than some number equals 52

a)

x + 6 = 52

b)

6 + 52 = x

c)

6x = 52

d)

6x + 52 =

94.

The difference of 2 and r equals -3.

a)

2−r = -3

b)

r÷2 = -3

c)

r−2 = -3

d)

2r = -3

95.
The sum of x and 3 gives 5.
a)
x−3 = 5
b)
3−x =5
c)
x+3=5
d)
x ÷ 3 = 5
96.
Translate this phrase into an algebraic expression.
14 subtracted from the quantity 6 times k 
a)
6 - 14k
b)
6k - 14
c)
14k - 6
d)
14 - 6k
97.
Ten decreased by four times a number.  
a)
10 - 4x
b)
4x - 10 
c)
10 - x
d)
10/4x
98.
The difference of 3 times a number and 7
a)
3 + 7n
b)
3n - 7
c)
3n + 7 
d)
3 / 7n
99.
a number increased by eighteen
a)
18n
b)
n+18
c)
18-n
d)
18/n
100.
fourteen times a number
a)
n-14
b)
14n
c)
14+n
d)
14-n
101.
w increased by 5
a)
w - 5
b)
5w
c)
w + 5
d)
w / 5
102.
8 + 2 ⋅ 7
a)
22
b)
70
c)
20
d)
42
103.
8 ÷ 8 + 6 × 2
a)
8
b)
13
c)
14
d)
23
104.
Solve This Expression - 
( 7 x 3 ) + 9
a)
29
b)
30
c)
31
d)
32
105.
6 + (4)3
a)
18
b)
30
c)
13
d)
42
106.
(7 x 5) + (6 x 4)
a)
48
b)
69
c)
59
d)
72
107.

4 x 6 -2 =

a)

20

b)

24

c)

22

d)

18

108.

(3x3) + 6-4 =

a)

10

b)

11

c)

15

d)

9

109.

6(8) =

a)

40

b)

42

c)

49

d)

48

110.

3(4+2+1) =

a)

10

b)

20

c)

21

d)

7

111.

Three squared is:

a)

3 x 3 = 9

b)

3 x 2 = 6

c)

3 + 3 = 6

d)

3 + 2 = 5

112.

5x(6-3)

a)

19

b)

27

c)

15

d)

23

113.
(7 x 5) + 5
a)
40
b)
70
c)
17
d)
755
114.
2 + (9- 4)
a)
16
b)
77
c)
79
115.
Which is equivalent to 5 x 5 x 5 x 5
a)
53
b)
54
c)
45
d)
55
116.
What does 32 mean?
a)
3 x 2
b)
3 x 3
c)
2 x 2 x 2
117.
4 + 9 + 8 ÷ 4
a)
5.25
b)
5
c)
25
d)
15
118.

Solve: (2×10)+4

a)

20

b)

26

c)

7

d)

24

119.
2 x 9 ÷ 3
a)
5
b)
7
c)
8
d)
6
120.

4 + 2 x 8

a)

48

b)

20

c)

14

d)

40

121.
(6 + 2) x (3 + 2)
a)
18
b)
26
c)
16
d)
40
122.

(71+6)(7-1+6)  

4 lines
123.

(7×4÷2)\left(7\times4\div2\right)  

4 lines
124.

(9÷3÷2)÷9×6\left(9\div3\div2\right)\div9\times6  

4 lines
125.

(3×5)+6\left(3\times5\right)+6  

4 lines
126.

(9×3÷9)+9+9\left(9\times3\div9\right)+9+9  

4 lines
127.

(58)×9\left(5-8\right)\times9  

4 lines
128.

(33)7\left(3-3\right)-7  

4 lines
129.

(1×22×3)\left(1\times2-2\times3\right)  

4 lines
130.

2+(714)2+\left(7-1-4\right)  

4 lines
131.

(2+4)2\left(2+4\right)-2  

4 lines
132.

(3+1)×2\left(3+1\right)\times2  

4 lines
133.

(6+2)×4\left(6+2\right)\times4  

4 lines
134.

(6+76)\left(6+7-6\right)

4 lines
135.

(4+6×3)\left(4+6\times3\right)  

4 lines
136.

(5÷20)÷6\left(5\div20\right)\div6  

4 lines
137.

(3+8÷8)÷8\left(3+8\div8\right)\div8  

4 lines
138.

(2×4)÷4\left(2\times4\right)\div4  

4 lines
139.

6(92)+3×66-\left(9-2\right)+3\times6  

4 lines
140.

(8+37)\left(8+3-7\right)  

4 lines
141.

(3÷73)\left(3\div7-3\right)  

4 lines
142.
What is the opposite of -9? 
a)
9
b)
1/9
c)
0
d)
-9
143.
What is the opposite of 3?
a)
-3
b)
0
c)
3
d)
1/3
144.

Evaluate:

I 5 I

a)
5
b)
-5
145.
Find the Absolute Value of -18
a)
18
b)
-18
c)
36
d)
-36
146.
Is absolute value always positive?
a)
yes
b)
no
147.

Select all answers that could represent a negative integer.

a)

deposit

b)

discount

c)

withdraw

d)

below zero

148.

Select all words that could be used to describe a positive integer.

a)

below the surface

b)

above sea level

c)

earned

d)

deposit

149.
A number GREATER than 0.
a)
positive number
b)
negative number
c)
integer
d)
signed number
150.
A number LESS than 0.
a)
positive number
b)
negative number
c)
integer
d)
signed number
151.
Express an integer: a debt of $50
a)
50
b)
-50
152.
What is the opposite of 10? 
a)
10
b)
-10
c)
0
d)
20
153.

Express an integer: a withdrawal of $100

a)

100

b)

-100

154.
Evaluate each expression.
| 9 |
a)
0.9
b)
9
c)
-9
d)
90
155.
| –3 |
a)
3
b)
-3
c)
0.30
d)
30
156.
What is the integer represented by "A" on the number line?
a)
-2
b)
3
c)
4
d)
0
157.
What is the integer represented by "B" on the number line?
a)
-2
b)
0
c)
3
d)
4
158.
What is the absolute value of |-26|
a)
26
b)
-26
c)
-36
d)
36
159.

What are integers?

a)

Only positive numbers.

b)

Only negative numbers

c)

All whole numbers and their opposites

d)

Only Zero

160.

The opposite value of -12 is ____.

a)

-12

b)

0

c)

-0

d)

12

161.

True or False: Absolute value is can be negative.

a)

True

b)

False