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Worksheets

Integer Operations

Total questions: 163

Worksheet time: 2hrs 12mins

Name
Class
Date
1.

-9 + (-8) = x

a)

x = 1

b)

x = -1

c)

x = 17

d)

x = -17

2.

-15 + (-13) = x

a)

x = 28

b)

x = -18

c)

x = -28

d)

x = -12

3.

It is a cold winter day in Virginia, the temperature when I woke up this morning was

9°.-9\degree.  At noon, the temperature increased by  8°8\degree .  What was the temperature at noon? 

a)

1°-1\degree  

b)

4°-4\degree  

c)

4°4\degree  

d)

12°12\degree  

4.

Rewrite -9 - (-3) using "add the opposite" strategy.

a)

-9 + 3

b)

9 + (-3)

c)

9 - (-3)

d)

9 + 3

5.

Evaluate: 7 - (-5) = x

a)

x = -2

b)

x = 2

c)

x = -12

d)

x = 12

6.

Evaluate: -6 - (-22) = x

a)

x = 16

b)

x = -16

c)

x = 28

d)

x = -28

7.

How do you feel about adding and subtracting integers?

a)

Awesome! I got it!!

b)

I'm at 75% or higher.

c)

I'm between 50% and 75%.

d)

I totally don't get it and need help.

8.

22\frac{2}{2}  

Evaluate:

a)

1

b)

2

c)

0

d)

4

9.

Evaluate:  11  3=-11\ \cdot\ 3=  x

a)

x = 33

b)

x = -33

c)

x = -14

d)

x = -8

10.

Evaluate: (+7) (7) = x

a)

x = 14

b)

x = 0

c)

x = -49

d)

x = 49

11.

99 ÷ (11) =x-99\ \div\ \left(-11\right)\ =x  

Evaluate:

a)

x = 9

b)

x = -9

c)

x = 110

d)

x = -110

12.

You take 6 steps forward and 8 steps back. How many steps have you taken?

a)

2

b)

-2

c)

14

d)

-14

13.

During the hot summer months, the height of the water in my pool decreases by 4 inches each week. What is the change in height over a six week period?

a)

24 inches

b)

10 inches

c)

-24 inches

d)

-10 inches

14.

Last night, the temperature changed at a rate of -3 F per hour.  How long did it take for the temperature to change -33 F?

a)

11 hours

b)

-11 hours

c)

36 hours

d)

-36 hours

15.

During a 12 hour period, the temperature dropped 48 degrees F. How many degrees did the temperature drop each hour?

a)

4°F4\degree F

b)

4°F-4\degree F

c)

56°F56\degree F

d)

56°F-56\degree F

16.

Overall, how do you feel about operations with integers? Write in a complete sentence, your strengths and weaknesses with integers.

4 lines
17.

A negative divided by a positive is

(a)  

18.

Match the following

a)

product

1.

multiplication

b)

sum

2.

addition

c)

difference

3.

subtraction

d)

quotient

4.

division

19.

The product of -8 and 4 is

a)

-4

b)

-12

c)

32

d)

-32

20.

Find the quotient of -18 and -3

a)

-21

b)

-15

c)

6

d)

21

21.

Match the following

a)

addition/subtraction

1.

-5 - (3)

b)

division

2.

42\frac{-4}{2}  

c)

multiplication

3.

(2)(-8)

22.

Solve

10 (5+3 )÷2310\ -\left(5+3\ \right)\div2^3  

(a)  

23.

10 (5+3 )÷2310\ -\left(5+3\ \right)\div2^3

List the order of operations to solve

a)

subtraction, addition, division, exponents

b)

addition, exponents, division, subtraction

c)

addition, division, exponents, subtraction

d)

exponents, division, addition, subtraction

24.

solve

2  (12)-2\ -\ \left(-12\right)  

(a)  

25.

153\frac{15}{-3}  

(a)  

26.

8 + (5)-8\ +\ \left(-5\right)  

(a)  

27.

What is the order of operations for

5+10107\frac{5+10}{10-7}  

a)

addition

b)

subtraction

c)

division

1)
2)
3)
28.

(4)(6)\left(-4\right)\left(-6\right)  

(a)  

29.

Choose each expression that will give a negative solution

a)

-2 + 5

b)

-8 - (-12)

c)

82\frac{-8}{2}  

d)

(-3) + (-5)

e)

(-4)(-3)

30.

Yzabella went hiking. She started on a hill at 12 feet above sea level then descended 5 feet down a hill. She took a water break then climbed 8 feet then ended her hike by going down a hill 4 feet. How high was Yzabella when she finished her hike?

a)

11 feet

b)

12 feet

c)

17 feet

d)

7 feet

31.

2 + (6)4\frac{\left|-2\ +\ \left(-6\right)\right|}{-4}  

solve

a)

2

b)

-2

c)

-4

d)

4

32.

The temperature at 8am was -5 degrees but dropped 2 degrees by 10am. At noon, the temperature was 4 degrees warmer. What was the temperature at noon?

a)

-5 degrees

b)

-6 degrees

c)

3 degrees

d)

-3 degrees

33.

23 +52^{3\ }+5  

a)

13

b)

11

c)

-13

d)

-11

34.

When multiplying or dividing a NEGATIVE and NEGATIVE integer, your result will be...

a)

Positive

b)

Negative

c)

Depends on which number has the greater value.

35.

When multiplying or dividing a NEGATIVE and POSITIVE integer your result will be...

a)

Positive

b)

Negative

c)

Depends on which number has the greater value.

36.

7 (10)=-7\ \left(10\right)=  

a)

70

b)

700

c)

-70

d)

-700

37.

20÷5=-20\div5=  

a)

-4

b)

4

c)

-100

d)

100

38.

44÷(4)=44\div\left(-4\right)=  

a)

11

b)

-176

c)

-11

d)

176

39.

30÷(10)=-30\div\left(-10\right)=  

a)

-300

b)

-3

c)

3

d)

300

40.

5 (8)=-5\ \left(-8\right)=  

a)

-40

b)

-13

c)

13

d)

40

41.

(3)2\left(-3\right)^2  

a)

-6

b)

-9

c)

9

d)

6

42.
Which results in a number larger than 70?
a)
70 x -10
b)
70 - (-10)
c)
70 + (-10)
43.
Solve:
(-2)(-1)(-3)(-4)(-1)
a)
-11
b)
24
c)
-24
d)
11
44.

(-8) x ___ = -32

a)

3

b)

-3

c)

4

d)

-4

45.
If the temperature drops 5 degrees every hour for 9 hours, which integer represents the change in temperature? 
a)
14
b)
-14
c)
45
d)
-45
46.
Flora made 3 withdrawals of $75 each from her bank account.
What was the overall change in her account?
a)
-$225
b)
$225
c)
-$25
d)
$25
47.
a)
5
b)
-5
c)
3
d)
-3
48.
If there are an odd number of negatives in a problem, the answer is
Example: (-4)(-5)(-2)
a)
Positive
b)
Negative
49.

(-1)(1)(-1)(-2)(-1)(1)

a)
2
b)
-2
c)
-5
d)
5
50.

Which expression is represented with the tiles?

a)

-2(-5)

b)

2(-5)

c)

-10/-2

d)

0 - (-10)

51.

Is the product –9 • (–4) positive or negative?

a)
negative
b)
positive
c)
both
d)
neither
52.
Is the product
–8 • (–3) positive or negative?
a)
negative
b)
positive
c)
both
d)
neither
53.

Select ALL that have a positive solution

a)

3 × 5

b)

15 ÷ -5

c)

-10 × -5

d)

-4 × 6

e)

-30 ÷ -6

54.

7 + (-13)

a)

-6

b)

6

c)

-20

d)

20

55.

-4 - 16

a)

-20

b)

20

c)

-12

d)

12

56.

3 + 4 =

a)

7

b)

-7

c)

1

d)

-1

57.

3 + (-6) =

a)

-3

b)

3

c)

-18

d)

18

58.

-6 + (-8) =

a)

-14

b)

14

c)

-48

d)

48

59.

-5 - 7 =

a)

12

b)

-12

c)

-2

d)

2

60.

-14 + 5 =

a)

19

b)

-9

c)

11

d)

9

61.
- 9 + 7
a)
-2
b)
2
c)
16
d)
-16
62.
8 - 12
a)
4
b)
-4
c)
-6
d)
-8
63.

7 - 5

a)

2

b)

-2

c)

12

d)

-12

64.
-7 x 4
a)
24
b)
28
c)
-28
d)
-24
65.
(-25) ÷ (-5)
a)
5
b)
-5
c)
-20
d)
-30
66.
-6 x 7
a)
42
b)
-42
c)
48
d)
-48
67.
12 x -4
a)
-24
b)
-36
c)
-60
d)
-48
68.
24/-6
a)
4
b)
-4
c)
-18
d)
18
69.
-5(-3)
a)
15
b)
-15
c)
-8
d)
-2
70.

-56 / -7

a)

8

b)

-8

c)

392

d)

-392

71.

-6 x (-12)

a)

-72

b)

72

c)

2

d)

-2

72.
40 ÷ (-10) =
a)
- 40
b)
4
c)
- 4
d)
40
73.
Evaluate:
−5(11)
a)
−55
b)
55
c)
6
d)
−50
74.

Positive multiplied/divided by a positive equals a _________.

a)

Positive

b)

Negative

75.

Positive multiplied/divided by a negative equals a _________.

a)

Positive

b)

Negative

76.

Negative multiplied/divided by a positive equals a _________.

a)

Positive

b)

Negative

77.

Negative multiplied/divided by a negative equals a _________.

a)

Positive

b)

Negative

78.

When we subtract, we move ____ on the number line.

a)

Left

b)

Right

79.

When we add, we move ____ on the number line.

a)

Left

b)

Right

80.

If the second number in an addition or subtraction expression is negative, then we move the ________ direction on the number line than normal.

a)

Same

b)

Opposite

81.

When subtracting negative numbers, we can follow the ____-______-______ method to turn into an addition problem.

a)

Keep

Change

Change

b)

Change

Change

Keep

c)

Change

Keep

Change

d)

Keep

Keep

Change

82.

When we add a negative number to a positive number, we keep the sign of the number with the largest _____________.

a)

Absolute Value

b)

Decimal

c)

Fraction

d)

Percent Error

83.

If we add two negative numbers, the answer will always be ________.

a)

Positive

b)

Negative

c)

A fraction

d)

Zero

84.

6 + (4)6\ +\ \left(-4\right)  

a)

2

b)

-2

c)

10

d)

-10

85.

7+(3)-7+\left(-3\right)  

a)

4

b)

-4

c)

10

d)

-10

86.

53-5-3  

a)

8

b)

-8

c)

2

d)

-2

87.

4(2)4-\left(-2\right)  

a)

6

b)

-6

c)

2

d)

-2

88.

4(8)4\cdot\left(-8\right)  

a)

32

b)

-32

c)

2

d)

-2

89.

5 (1)-5\ \cdot\left(-1\right)  

a)

5

b)

-5

c)

15\frac{1}{5}  

d)

15-\frac{1}{5}  

90.

93-9\cdot3  

a)

27

b)

-27

c)

3

d)

-3

91.

183\frac{-18}{3}  

a)

6

b)

-6

c)

16\frac{1}{6}  

d)

16-\frac{1}{6}  

92.

497\frac{-49}{-7}  

a)

7

b)

-7

c)

17\frac{1}{7}  

d)

17-\frac{1}{7}  

93.

637\frac{63}{-7}  

a)

9

b)

-9

c)

19\frac{1}{9}  

d)

19-\frac{1}{9}  

94.

Positive multiplied/divided by a positive equals a _________.

a)

Positive

b)

Negative

95.

Positive multiplied/divided by a negative equals a _________.

a)

Positive

b)

Negative

96.

Negative multiplied/divided by a positive equals a _________.

a)

Positive

b)

Negative

97.

Negative multiplied/divided by a negative equals a _________.

a)

Positive

b)

Negative

98.

When we subtract, we move ____ on the number line.

a)

Left

b)

Right

99.

When we add, we move ____ on the number line.

a)

Left

b)

Right

100.

If the second number in an addition or subtraction expression is negative, then we move the ________ direction on the number line than normal.

a)

Same

b)

Opposite

101.

When subtracting negative numbers, we can follow the ____-______-______ method to turn into an addition problem.

a)

Keep

Change

Change

b)

Change

Change

Keep

c)

Change

Keep

Change

d)

Keep

Keep

Change

102.

When we add a negative number to a positive number, we keep the sign of the number with the largest _____________.

a)

Absolute Value

b)

Decimal

c)

Fraction

d)

Percent Error

103.

If we add two negative numbers, the answer will always be ________.

a)

Positive

b)

Negative

c)

A fraction

d)

Zero

104.

6 + (4)6\ +\ \left(-4\right)  

a)

2

b)

-2

c)

10

d)

-10

105.

7+(3)-7+\left(-3\right)  

a)

4

b)

-4

c)

10

d)

-10

106.

53-5-3  

a)

8

b)

-8

c)

2

d)

-2

107.

4(2)4-\left(-2\right)  

a)

6

b)

-6

c)

2

d)

-2

108.

4(8)4\cdot\left(-8\right)  

a)

32

b)

-32

c)

2

d)

-2

109.

5 (1)-5\ \cdot\left(-1\right)  

a)

5

b)

-5

c)

15\frac{1}{5}  

d)

15-\frac{1}{5}  

110.

93-9\cdot3  

a)

27

b)

-27

c)

3

d)

-3

111.

183\frac{-18}{3}  

a)

6

b)

-6

c)

16\frac{1}{6}  

d)

16-\frac{1}{6}  

112.

497\frac{-49}{-7}  

a)

7

b)

-7

c)

17\frac{1}{7}  

d)

17-\frac{1}{7}  

113.

637\frac{63}{-7}  

a)

9

b)

-9

c)

19\frac{1}{9}  

d)

19-\frac{1}{9}  

114.

3 + 4 =

a)

7

b)

-7

c)

1

d)

-1

115.

3 + (-6) =

a)

-3

b)

3

c)

-18

d)

18

116.

3 - 9 =

a)

12

b)

6

c)

-6

d)

3

117.

-6 + (-8) =

a)

-14

b)

14

c)

-48

d)

48

118.

-8 / 4 = (divide)

a)

1

b)

2

c)

-2

d)

-4

119.

-4 - (-4) =

a)

8

b)

-4

c)

0

d)

-8

120.

-5 - 7 =

a)

12

b)

-12

c)

-2

d)

2

121.

-14 + 5 =

a)

19

b)

-9

c)

11

d)

9

122.

-14 / -2 = (divide)

a)

-7

b)

7

c)

-16

d)

-12

123.

-8 - (-3) =

a)

5

b)

11

c)

-11

d)

-5

124.

What is the inverse of -8?

(a)  

125.

What is 4 + (-4) =

(a)  

126.

What is-3 + (-10)

a)

13

b)

-13

c)

7

d)

-7

127.

-8 + ? = -14

(a)  

128.

9 + ? = 0

(a)  

129.

-5 + 9 Will this answer be positive or negative?

(a)  

130.

Which number has the larger absolute value? -12 + 8

(a)  

131.

Solve -13 + 3

a)

-10

b)

10

c)

16

d)

-16

132.

Solve 12 + (-3)

(a)  

133.

5 - (-4) Which number do you keep the same?

(a)  

134.

5 - (-4) What do you do to the subtraction sign? How would you rewrite this problem?

4 lines
135.

Solve -7 - 8 after you Keep, Change, Change

4 lines
136.

-9 - (-2) Which of the following is correct after you keep, change, change?

a)

9 + 2

b)

-9 + 2

c)

-9 + (-2)

137.

-9 x 8 Will the answer be positive or negative?

(a)  

138.

Select ALL of the answers that are NEGATIVE

a)

-5 x 6

b)

-21/-3

c)

8 x (-12)

d)

-4/2

139.

Solve -8/8

(a)  

140.

At the beginning of the day, the temperature is -11 degrees. As the sun comes out, it warms to a high of 13 degrees. What is the difference in temperature throughout the day?

a)

24 degrees

b)

2 degrees

141.

Taylor has $27 in his checking account. He then writes a check for $35. What is the balance of Taylor's bank account?

a)

-8

b)

8

c)

12

d)

-12

142.

A scuba diver dove to 40 feet below the surface of the water. He then dove an additional 17 feet. What is the depth of the scuba diver?

a)

23 feet below

b)

57 feet below

c)

33 feet below

143.

A quarter back dropped back 5 yards behind the line of scrimmage. Then, he passed the ball 14 yards. How far past the line of scrimmage did the ball travel?

a)

19 yards

b)

11 yards

c)

9 yards

144.

Add


(-3) + 7

(a)  

145.

Add


(-8) + (-4)

(a)  

146.

Add


9 + (-7)

(a)  

147.

Add


(-12) + (-8)

(a)  

148.

Add


2 + (-9)

(a)  

149.

Subtract


-4 - (-9)

(a)  

150.

Subtract


-7 - 4

(a)  

151.

Subtract


5 - (-4)

(a)  

152.

Subtract


7 - 13

(a)  

153.

Subtract


0 - 3

(a)  

154.

Multiply


8(-6)

(a)  

155.

Multiply


-9(-6)

(a)  

156.

Multiply


-11(4)

(a)  

157.

Multiply


(-7)(-6)

(a)  

158.

Multiply

(-5)(-3)

(a)  

159.

Divide


10/-5

(a)  

160.

Divide


-14/-2

(a)  

161.

Divide


-24/6

(a)  

162.

Divide


-66/6

(a)  

163.

Divide


-8/-8

(a)