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Rational Numbers and integers review

Total questions: 90

Worksheet time: 3hrs 35mins

Name
Class
Date
1.

Match each word with the correct definition:

a)

Rational Number

1.

Num. that can be written as a fraction

b)

Positive Numbers

2.

Numbers to the right of 0

c)

Absolute Value

3.

The distance from 0

d)

Negative Numbers

4.

Numbers to the left of 0

e)

Opposites

5.

Pair of numbers the same distance from 0

2.

All numbers are rational numbers.

a)

True

b)

False

3.

Write the answer to the absolute value:

|-5| =

4.

Write the answer to the absolute value:

|100| =

5.

Write the answer to the absolute value:

|4| =

6.

Write the answer to the absolute value:

|0| =

7.

Order these numbers from least to greatest. Use the number line to help (LEAST is on the left)

a)

-2.7

b)

235-2\frac{3}{5}

c)

-1.8

d)

3

e)

3.0001

1)
2)
3)
4)
5)
8.

Order these numbers from LEAST to GREATEST: (Least is on the left) |-2.7|, 0, 1.3, |-1.1|, 2

a)

0

b)

|-1.1|

c)

1.3

d)

2

e)

|-2.7|

1)
2)
3)
4)
5)
9.

Write the opposite of each number:

34: ​ (a)  

-23: ​ (b)  

-250: ​ (c)  

Choose from the below words
-34
23
250
34
-23
-250
10.

Which of the following situations describes a positive number?

a)

Diving underwater 4 meters.

b)

Going up the elevator 14 floors.

c)

Losing 3 points.

d)

Paying $20 out of your checking account.

11.

Match the positive or negative number with a situation that represents it.

a)

An increase in altitude of 6 miles

1.

+6

b)

6 degrees below 0

2.

-6

c)

A deposit of $2000 in the bank

3.

+2000

d)

A withdrawal of $2000

4.

-2000

12.

Use the drop down to select the correct answer:

|-92| ​ (a)   |93|

|-48| ​ (b)   |-84|

|-13| ​ (c)   |22|

|-54|​ (d)   |50|

Choose from the below words
<
>
13.

The elevations, in feet, of three cities are marked on the number line shown below. The point 0 on the number line represents sea level. Which statement must be true?

a)

City P and City Q are above sea level.

b)

City Q and City R are below sea level.

c)

City P is above sea level and City Q is below sea level.

d)

City P is above sea level and City R is below sea level.

14.

An eagle is flying 30 feet above sea level and spots a fish swimming 2 feet below sea level. What does zero represent in this situation?

a)

The height of the eagle

b)

The ocean floor

c)

Sea level

d)

The depth of the swimming fish

15.

The number line below represents the elevation, in feet, of seven cities around the Caspian Sea in Asia. The elevation at sea level is 0 feet. Which of these cities have an elevation that is more than 75 feet away from sea level? Mark all that apply.

a)

Baku

b)

Chalus

c)

Astara

d)

Derbent

e)

Aktau

16.

The table below shows the ending October balances of the accounts of four students. Which student owes the least amount of money?

a)

Dylan

b)

Elise

c)

Francesca

d)

Jamaal

17.

What is the opposite of 0

a)

0

b)

Doesn't Exist

c)

1

18.

What is the opposite of -12?

a)

12

b)

-12

19.
-7 - 2
a)
-9
b)
9
c)
5
d)
-5
20.
-8 - (-4) =
a)
12
b)
-12
c)
4
d)
-4
21.
-14 + (-3)
a)
-17
b)
11
c)
-11
d)
17
22.
3 + -7
a)
10
b)
4
c)
-10
d)
-4
23.
What is 16- (-9) ?
a)
-7
b)
11
c)
15
d)
25
24.
-6 + 12
a)
6
b)
-6
c)
18
d)
-18
25.
-12 + 7
a)
-19
b)
19
c)
-5
d)
5
26.
2 - (-2)
a)
0
b)
2
c)
4
d)
1
27.

4 + (-5) =

a)

9

b)

-9

c)

1

d)

-1

28.

15 - 10 =

a)

25

b)

5

c)

-5

d)

-25

29.

-11 + 11 =

a)

22

b)

0

c)

-22

d)

-10

30.
-5 + 7
a)
12
b)
-2
c)
2
d)
3
31.
Sergio Garcia won the 2017 Masters golf tournament. His scores were -1, -3, -2 and -3 for the four day tournament. His final score was _____?
a)
-9
b)
9
c)
8
d)
-8
32.

Charles works on the 12th floor of an office building. He went to lunch at the cafeteria on the 4th floor. How many floors down did Charles go when he took the elevator to lunch?

a)

8

b)

16

c)

-8

d)

-16

33.

-23 + 11

a)

-12

b)

12

c)

34

d)

-34

34.

14 - (-4)

a)

-18

b)

10

c)

18

d)

-10

35.

-4 - (-9)

a)

13

b)

-13

c)

5

d)

-5

36.

-3 - 4

a)

-1

b)

1

c)

7

d)

-7

37.

-5 + 23

a)

28

b)

-28

c)

-18

d)

18

38.

-44 - (-19)

a)

-25

b)

25

c)

63

d)

-63

39.

6 + -25

a)

19

b)

31

c)

-19

d)

-31

40.

-12 - 15

a)

-3

b)

-27

c)

3

d)

27

41.

-10 + (-32)

a)

-42

b)

42

c)

22

d)

-22

42.

-16 + 19

a)

-3

b)

-35

c)

3

d)

35

43.

-18 - 8

a)

-26

b)

-10

c)

10

d)

26

44.

22 - (-8)

a)

-30

b)

30

c)

-14

d)

14

45.

-13 + 4

a)

-9

b)

9

c)

-17

d)

17

46.

8 + (-17)

a)

-25

b)

25

c)

-9

d)

9

47.

12 + (-20)

a)

32

b)

-8

c)

8

d)

-32

48.

17 + (-15)

a)

-32

b)

32

c)

2

d)

-2

49.

-16 - 21

a)

-37

b)

37

c)

5

d)

-5

50.

-5 -8

a)

3

b)

13

c)

-13

d)

-3

51.

-17 + 3

a)

20

b)

-14

c)

-20

d)

14

52.

-21 + (-14)

a)

35

b)

7

c)

-7

d)

-35

53.
Joy earned 13 points in her first round and -21 points in her second turn. What was her score after 2 turns?
a)
34
b)
8
c)
-34
d)
-8
54.
-2 + 4 
a)
-2
b)
2
c)
0
d)
-4
55.
-9 + (-5)
a)
-14
b)
14
c)
-4
56.
10 + (-4) = ?
a)
-6
b)
6
c)
14
d)
-14
57.
-14 + (-3)
a)
-17
b)
11
c)
-11
d)
17
58.
-10 + 10
a)
20
b)
0
c)
-20
d)
1,000,000
59.
5 - 2
a)
7
b)
3
c)
-3
d)
-7
60.
-3 - 2
a)
-1
b)
-5
c)
1
d)
6
61.
12 - (-3) = 
a)
9
b)
-9
c)
15
d)
-15
62.
What are the rules for subtracting integers?
a)
Change to multiplication and use the opposite of the second number.
b)
Change subtraction sign to addition and use the opposite of the second number.
c)
Find the opposite of both numbers and then add. 
d)
Subtract like normal and keep the larger sign. 
63.
-7 - (-2) = ?
a)
9
b)
-9
c)
-5
d)
5
64.
-9 - 5
a)
-14
b)
4
c)
-4
d)
45
65.
-8 - (-6)
a)
2
b)
14
c)
-2
d)
-14
66.
What is the opposite of 10? 
a)
10
b)
-10
c)
0
d)
20
67.
What is the distance from -7 to 5 on a number line? 
a)
12
b)
-12
c)
2
d)
-4
68.

Express an integer: a withdrawal of $100

a)

100

b)

-100

69.
7 - 26
a)
-19
b)
19
c)
33
d)
-33
70.
3 + (-9)
a)
6
b)
-12
c)
-6
d)
12
71.

How do you say this problem in words?

-3 − (-10)

a)

negative three minus negative ten

b)

three minus ten

c)

negative three minus ten

d)

negative three subtract ten

72.

-4 − (-2)


can be rewritten as:

a)

-4 + 2

b)

-4 - 2

c)

4 + 2

d)

4 - 2

73.
3 + -7
a)
10
b)
4
c)
-10
d)
-4
74.
-9 + (-5)
a)
-14
b)
14
c)
-4
75.
10 + (-4) = ?
a)
-6
b)
6
c)
14
d)
-14
76.
-7 - 2
a)
-9
b)
9
c)
5
d)
-5
77.
-8 - (-4) =
a)
12
b)
-12
c)
4
d)
-4
78.
-8 - 8 =
a)
16
b)
0
c)
-16
d)
9
79.
-2 - (-10) = ?
a)
-12
b)
12
c)
8
d)
-8
80.
-4 + 10 + (-2)
a)
-4
b)
4
c)
-16
d)
14
81.
18 - 41
a)
23
b)
-23
c)
59
d)
-59
82.
19 - (-19)
a)
0
b)
36
c)
26
d)
38
83.
When you add integers with the same sign, what do you do? 
a)

(+) and keep the sign

b)

(-) and keep the sign of the larger

c)
(x) and keep the sign
d)

(-) and keep the sign of the smaller

84.
What do you do when you are adding integers with different signs
a)
(-) and keep sign of smaller number
b)
(-) and keep sign of larger number
c)
(+) and keep sign of smaller number number
d)
(+) and keep sign of larger number 
85.

To solve a subtraction problem, you should . . .

(READ THE CHOICES CAREFULLY)

a)

Change both numbers to the opposite and add them

b)

Keep the first number, change the - to +, and change the second number to the opposite

c)

Switch the order and subtract

d)

Keep the first number, change the - to + and keep the second number

86.

3-8

(a)  

87.
-2 - (-10) = ?
a)
-12
b)
12
c)
8
d)
-8
88.

-3+5

(a)  

89.

-4-3

(a)  

90.

-7+ 2 + (-7)

(a)