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Worksheets

Integers

Total questions: 89

Worksheet time: 4hrs 49mins

Name
Class
Date
1.

a)

5 >> -5

b)

5 << -5

c)

5 == -5

d)

5 \ge -5

2.

a)

-9 << -18

b)

-9 >> -18

c)

-9 \cong -18

d)

-9 \le -18

3.

a)

-21 >> -17

b)

-21 \ge -17

c)

-21 \le -17

d)

-21 << -17

4.

a)

-12 == 12

b)

-12 \ge 12

c)

-12 << 12

d)

-12 \cong 12

5.
Which has the smallest absolute value?
a)
0
b)
-1
c)
-2
d)
-8
6.
Which has the greatest absolute value?
a)
-33
b)
-31
c)
-28
d)
-17
7.
Which answer has the integers in order from least to greatest?
a)
− 9,   -5,  -3, 0,  4,  3
b)
− 9,   -5,  -3, 0,  3,  4
c)
− 5,   -9,  -3, 0,  4,  3
d)
 3, 4, 0, -3, -5, -9
8.

You started with 30 points in a game and then you lost 25 points. Write an addition expression that represents the situation and then simplify.

a)

30 + (-25); 55 points

b)

-30 + 25; 55 points

c)

30 + (-25); 5 points

d)

-30 + 25; 5 points

9.

Simplify: -3 x (-12)

a)

36

b)

-36

c)

-15

d)

-9

10.

Simplify: 11 x (-8)

a)

-19

b)

3

c)

-88

d)

88

11.

Simplify: 

45÷545\div-5  

a)

8

b)

40

c)

9

d)

-9

12.

Simplify: 

100÷10-100\div-10  

a)

-10

b)

10

c)

-110

d)

-90

13.

Billy played a game and lost 5 points for each turn he took.  How many points did Billy lose or gain if he took 4 turns?  Explain the meaning of your answer.

a)

-20, Billy gained 20 points

b)

20, Billy gained 20 points

c)

-20, Billy lost 20 points

d)

20, Billy lost 20 points

14.

Simplify: 

(5)2\left(-5\right)^2  

a)

10

b)

25

c)

-25

d)

-10

15.

In Albany, New York, the temperature was -12°F in the evening. If the temperature dropped 9°F, what is the temperature now?

a)

-21oF

b)

-23oF

c)

3oF

d)

-3oF

16.

Bob lost 5 points on page one of his math test and he lost 9 points on page two of his math test. Which equation best describes Bob progress on his math test?

a)

5 + 9 = 14

b)

-5 + (-9) = -4

c)

-5 + (-9) = -14

d)

5 + (-9) = -4

17.

(-4) - 5

a)

-9

b)

-6

c)

9

d)

1

18.
5 - 8 =
a)
13
b)
3
c)
-3
d)
-13
19.
(+12) - (+6)
a)
-18
b)
6
c)
-6
d)
18
20.
0 - 5 
a)
-5
b)
5
c)
0
d)
10
21.
-2 - (-10) = ?
a)
-12
b)
12
c)
8
d)
-8
22.
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
23.
The temperature falls from 3 degrees to -4 degrees. What is the difference
in these temperatures?
a)
1 degrees
b)
-1 degrees
c)
-7 degrees
d)
7 degrees
24.
You start hiking at an elevation that is 80 meters below base camp. You increase your elevation by 42 meters. What is the new elevation with respect to base camp?
a)
122 meters
b)
38 meters
c)
-38 meters
d)
-122 meters
25.

9 x 9

(a)  

26.

-2(-12)

(a)  

27.

(-5)(-5)

(a)  

28.

-3 + (-4)

a)

7

b)

-1

c)

-7

d)

1

29.

12 + (-2)

a)

-10

b)

-14

c)

14

d)

10

30.

3+(8)+(1)3+\left(-8\right)+\left(-1\right)  

a)

1212  

b)

44  

c)

6-6  

d)

4-4  

31.

(43)+20\left(-43\right)+20  

a)

2323  

b)

6363  

c)

23-23  

d)

6363  

32.

6+(6)+6-6+\left(-6\right)+6  

a)

18-18  

b)

00  

c)

1212  

d)

6-6  

33.


6+(7)+(3)6+\left(-7\right)+\left(-3\right)  

a)

4-4  

b)

1010  

c)

22  

d)

2-2  

34.

10+10-10+10  

a)

2020  

b)

00  

c)

20-20  

d)

1,000,0001,000,000  

35.
-14 + (-3)
a)
-17
b)
11
c)
-11
d)
17
36.
The temperature on a cold winter day starts out at 10 degrees, but it drops rapidly 24 degrees due to a strong cold front moving in.  What is the current temperature?
a)
14
b)
34
c)
-14
d)
-34
37.
-8 - (-6) = 
a)
-14
b)
14
c)
-2
d)
2
38.
a)
4
b)
-4
c)
64
d)
-46
39.

-21/7

a)

3

b)

-3

c)

-2

d)

2

40.

-45/-9

a)

-5

b)

8

c)

5

d)

-8

41.

-18/2

a)

16

b)

9

c)

-9

d)

-16

42.

6 + 5 = ?-6\ +\ 5\ =\ ?  

a)

11

b)

-11

c)

1

d)

-1

43.

1 + (2) = ?-1\ +\ \left(-2\right)\ =\ ?  

a)

3

b)

-3

c)

-1

d)

1

44.

9(-6)

a)

3

b)

-54

c)

-3

d)

54

45.

-7(-7)

a)

49

b)

14

c)

-49

d)

-14

46.

(2)(-5)(3)

a)

21

b)

-21

c)

-30

d)

30

47.

(-3)(-3)(-3)

a)

-9

b)

9

c)

-27

d)

27

48.

43-4^3  

a)

-64

b)

12

c)

16

d)

64

49.

242^4  

a)

2

b)

8

c)

16

d)

24

50.

(5)2\left(-5\right)^2  

a)

25

b)

125

c)

10

d)

-25

51.

535^3  

a)

15

b)

125

c)

50

d)

5

52.

3(2)3-3\cdot\left(-2\right)^3  

a)

-24

b)

24

c)

12

d)

-12

53.

Evaluate the expression:

3(2)(4)-3\left(-2\right)\left(-4\right)  

a)

-24

b)

-18

c)

18

d)

24

54.

Evaluate the expression:

8+558+-5\cdot5  

a)

-15

b)

-17

c)

15

d)

33

55.
Which expression DOES NOT have a product of −18?
a)
−2 ∗ −9
b)
−6 ∗ 3
c)
−3 ∗ 6
d)
−9 ∗ 2
56.

-14 - (-14)

a)

0

b)

28

c)

-28

d)

-14

57.

62=-6^2=  

a)

-12

b)

12

c)

-36

d)

36

58.

(4)2 =\left(-4\right)^{2\ }=  

a)

-8

b)

8

c)

16

d)

-16

59.

Which answers are less than -3?

a)

-1

b)

-8

c)

-12

d)

6

e)

0

60.

|17| _______ |-18|

a)

<

b)

>

c)

=

61.

-7 + 4 x (-3)

a)

-5

b)

-19

62.

10 - (-4) + (-18)

a)

-12

b)

-4

63.

Divide.

2010=\frac{-20}{-10}=  

a)

2

b)

-2

64.

Divide.

93=\frac{-9}{-3}=  

a)

3

b)

-3

65.

1 + 1

a)

1

b)

22  

66.

You owe your friend $12. You owe your mom $7. Choose the correct equation to model the total amount you owe?

a)

12 + 9 = 21

b)

-12 + (-9) = -21

c)

12 - 9 = 3

d)

12 + (-7) = 5

67.

Add.

18 + (-18)

a)

0

b)

36

c)

-36

d)

10

68.

Your bank account has a balance of -$8. How much do you need to add for your balance to be 0?

a)

10

b)

8

c)

-8

d)

16

69.

Add.

-10 + (-15)

a)

5

b)

-5

c)

25

d)

-25

70.

Add.

5 + (-7)

a)

12

b)

2

c)

-2

d)

-12

71.
The absolute value of |3| is 0.
a)
True
b)
False
72.
What is the absolute value of | –3 |
a)
3
b)
-3
c)
0.30
d)
30
73.
What is the absolute value of  | 5 |
a)
5
b)
-5
c)
0
d)
0.5
74.

You had $20 and spent $4 on ice cream, then spent another $2 on a drink. You saw your friend who paid you back $10. How much money do you have now?

(a)  

75.

What is the difference between a fish swimming 10 feet underwater and a bird flying 20 feet above the water?

a)

-10 feet

b)

10 feet

c)

30 feet

d)

-30 feet

76.

What is the distance between 5 and 0?

a)

6

b)

4

c)

5

d)

-5

77.

The temperature was -6 degrees but it rose 10 degrees, how cold is it now?

(a)  

78.

What is the distane between points -4 and 5?

(a)  

79.

If the temperature is 12 degrees and it drops 20 degrees, how cold is it now?

(a)  

80.
If you are adding 2 negative numbers, will your answer be positive or negative?
a)
negative
b)
positive
81.

Lindsey owes her friend $13. She also earns $ 18. How much money does Lindsey have left?

a)

$5

b)

-$5

c)

-$31

d)

$31

82.

The Cowboys lost 20 yards on the first play. On the second play, they gained 17 yards. Write an addition expression

a)

20 + (-17)

b)

-20 + -17

c)

20 + 17

d)

-20 + (-17)

83.

What integer addition equation is being modeled?

a)

-5 + -3 = -2

b)

-5 + 2 = -3

c)

-5 + 3 = -2

d)

5 + 3 = 8

84.

The temperature was 98 degrees last Friday. Wednesday it was 24 degrees cooler. Which expression represents the relationship in the temperature between Friday and Wednesday?

a)

(-98) + (-24)

b)

-98 + - 24

c)

98 + 24

d)

98 + (-24)

85.
A football team gained 9 yards on one play and then lost 22 yards on the next. Write a sum of integers to find the overall change in field position.
a)
-9 + (-22) = -13
b)
9 + (-22) = 13
c)
9 + (-22) = -13
d)
none
86.

A submarine was situated 800 feet below sea level. If it ascends 275 feet, what is its new position relative to the sea level?

a)

-525

b)

525

c)

275

d)

-275

87.

There are two points labeled on the numberline.

What is the value of A+B?

a)

0

b)

4

c)

-4

d)

-2

88.

A numberline is shown.

Select all points that are 7 units from point P.

a)

A

b)

B

c)

C

d)

D

e)

E

89.

Type the integer that makes the following addition sentence true:

-6+ (a)   =-8