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Adding and Subtracting Rational Numbers

Total questions: 80

Worksheet time: 3hrs 25mins

Name
Class
Date
1.
Solve the problem.
-4 - 10
a)
-4
b)
4
c)
14
d)
-14
2.
numbers that are greater than zero and to the right of zero on the number line
a)
integers
b)
opposite numbers
c)
positive numbers
d)
negative numbers
3.
numbers that are less than zero and located to the left of zero on the number line
a)
positive numbers
b)
negative numbers
c)
integers
d)
signed numbers
4.
Evaluate:  -19 -10
a)
9
b)
-9
c)
-29
d)
29
5.
−28+(−8)=
a)
36
b)
−36
c)
−20
d)
20
6.
Solve the problem.
27 + (-83)
a)
-56
b)
110
c)
56
d)
-110
7.
What is the value of | –7 |?
a)
7
b)
– | –7 |
c)
14
d)
–7
8.
What's a way to define absolute value?
a)
The value of a number
b)
The opposite of a number
c)
The distance of a number from zero
d)
The multiplicative inverse of a number
9.
Which statement is true?
a)
The absolute value of 3 is -3
b)
The opposite of 7 is 7
c)
The absolute value of 5 is equal to the opposite of 5
d)
The opposite of -4 is equal to the absolute value of -4
10.
If the temperature in Chicago is -5 degrees and the temperature in Moscow is 8 degrees colder. What is the temperature in Moscow?
a)
-3 degrees
b)
-13 degrees
c)
3 degrees
d)
13 degrees
11.
If the temperature in Chicago is -5 degrees and the temperature in Moscow is 8 degrees colder. What is the temperature in Moscow?
a)
-3 degrees
b)
-13 degrees
c)
3 degrees
d)
13 degrees
12.
-40 + 15.05
a)
55.05
b)
24.95
c)
-24.95
d)
14.65
13.
8/15  +  (-6/15)
a)
14/15
b)
-2/15
c)
2/15
d)
-14/15
14.
-19 -10= 
a)
9
b)
-9
c)
-29
d)
29
15.
 ¼ − (-¾)= 
a)
-1/2
b)
4/0
c)
1
d)
None of the above
16.
−28+(−8)=
a)
36
b)
−36
c)
−20
d)
20
17.
-23.4 - 3.4= 
a)
-20
b)
26.8
c)
-26.8
d)
20
18.
3 + -7= 
a)
10
b)
4
c)
-10
d)
-4
19.
5-19= 
a)
14
b)
24
c)
-14
d)
-24
20.
7.19 + (-5.34)
a)
12.53
b)
-12.53
c)
1.85
d)
-1.85
21.
9 + -6.73
a)
2.27
b)
-2.27
c)
15.73
d)
-15.73
22.
2/4 + -5/4
a)
-7/4
b)
3/4
c)
-3/4
d)
-7/8
23.
34.5 + (-7)
a)
-41.5
b)
41.5
c)
-27.5
d)
27.5
24.
2/4 + -5/4
a)
-7/4
b)
3/4
c)
-3/4
d)
-7/8
25.
What is a number without fractions; an integer?
a)
expression
b)
whole number
c)
graph
d)
integer
26.
What does it mean to find an answer or a solution?
a)
integer
b)
order
c)
solve
d)
expression
27.
What is a mathematical sentence that shows that two expressions are equivalent?
a)
solve
b)
expression
c)
graph
d)
equation
28.
What is the name for whole numbers and their opposites?
a)
equation
b)
positive number
c)
integer
d)
negative number
29.
What do we call a number less than zero?
a)
integer
b)
negative number
c)
whole number
d)
positive integer
30.
What is an integer greater than zero?
a)
whole number
b)
positive integer
c)
absolute value
d)
rational number
31.
Which term means the distance of a number from zero on the number line; shown by |  | ?
a)
repeating decimal
b)
absolute value
c)
additive inverse
d)
opposite
32.
What do we call numbers that are equal distance from zero on a number line; also called additive inverse?
a)
opposites
b)
absolute value
c)
rational number
d)
positive integer
33.
What is a decimal in which one or more digits repeat indefinitely?
a)
equation
b)
graph
c)
repeating decimal
d)
terminating decimal
34.
What is the definition of integers 
a)
a set of positive whole numbers, their opposites, and 0 
b)
a set of negative whole numbers 
c)
positive and negative numbers
d)
any number you can graph on a number line
35.

Are opposites always positive?

a)

yes

b)

no

36.
A positive number is __________less than a negative number.
a)
never
b)
always
c)
sometimes
d)
probably
37.
The coordinates for the origin in the coordinate plane are________?
a)
(1,1)
b)
(0,0)
c)
(0,1)
d)
(1,0)
38.

You can use a _______ to order and compare integers.

a)

donut

b)

microscope

c)

number line

d)

spoon

39.
Is absolute value always positive?
a)
yes
b)
no
40.
Monday's temperature was -3°F and Tuesday's was -5°F. Which day was colder? 
a)
neither they were equal 
b)
Monday 
c)
Tuesday 
d)
Friday 
41.
The opposite of -89 is?
a)
-89
b)
89
c)
0
d)
98
42.
Which of the following is the LEAST?
a)
|15|
b)
|-14|
c)
|3|
d)
|-20|
43.
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
44.
Order the numbers from least to greatest.
-2, I8I, 5, I-10I, 6
a)
-2, I8I, 5, I-10I, 6
b)
-2, 5, 6, I8I, I-10I
c)
-2, 5, 6, 8, 10
d)
I-10I, -2, 5, 6. I8I
45.
9/7 + -1/5
a)
-38/35
b)
52/35
c)
38/35
d)
-52/35
46.

What is the value of the following expression?

a)

-12 and 19/21

b)

-12 and 1/2

c)

-2 and 3/4

d)

-2 and 5/21

47.
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
48.
The temperature drops 2°F each hour. What is the total change in temperature after 12 hours?
a)
-24
b)
26
c)
24
d)
-26
49.
The price of a share of stock started the day at $37. During the day it went down $3, up $1, down $7, and up $4. What was the price of a share at the end of the day?
a)
$27
b)
$31
c)
$32
d)
$35
50.
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
51.

Which situation could be represented by the equation: - 30 + 30 = 0 ?

a)

Jacob bought a hat for $30. He then bought some headphones for $30.

b)

Charmeal loaned $30 to her brother. She then paid her back $30 the next day.

c)

Shoney drove 30 miles to the library. She then drove 30 more miles to her college.

d)

Alysha filled a tank with 30 gallons of water. She then filled the tank with 30 more gallons.

52.

What is the value of -456 + 905?

a)

-449

b)

1361

c)

449

d)

-1361

53.

What is the value of (-115) + 23?

a)

-138

b)

92

c)

138

d)

-92

54.
2 - (-2) = 
a)
0
b)
4
c)
-4
d)
-2
55.
-1 - 10 = 
a)
-9
b)
9
c)
-11
d)
none of these
56.
8 - 7 = 
a)
15
b)
-15
c)
1
d)
-1
57.
-8 - (-6) = 
a)
-14
b)
14
c)
-2
d)
2
58.
11-4 = 
a)
15
b)
-7
c)
-15
d)
7
59.
48 - (-31) = 
a)
17
b)
-17
c)
79
d)
-79
60.
18 - 41 = 
a)
23
b)
59
c)
-59
d)
none of these
61.

Cara monitors a snail in her aquarium. She notes that this morning it crawled 1" up the glass. A few hours later, it crawled another 2" up the glass. Later, it crawled 4" down the glass. How far is the snail from where it started?

a)

1" below where it started

b)

3" above where it started

c)

1" above where it started

d)

2" below where it stared

62.

Henry starts the day with $30. He and his sister go to the fair. He pays for his own admission of $10, but fails to notice that $15 falls out of his wallet while he is paying. His sister lends him $10 so that he can still enjoy the fair. Write the equation that illustrates his day's financial events.

a)

30 - 10 - 5 + 10 =

b)

30 - 15 + 10 =

c)

30 - 10 - 15 + 10 =

d)

30 + 10 - 15 =

63.

Karen opens a credit account to purchase a new bed. She makes a down payment of $200 on a $1,000 bed. What is her financial situation?

a)

Karen owes $600 on her bed.

b)

Karen owes $1000 on her bed.

c)

Karen owes $200 on her bed.

d)

Karen owes $800 on her bed.

64.

At midnight, the temperature was 30 degrees. By 6:00 a.m, it had dropped 5 degrees, and by noon, it had increased by 11 degrees. What was the temperature at noon? 

a)

36 degrees

b)

27 degrees

c)

39 degrees

d)

16 degrees

65.

Some number added to 5 is equal to -11. What is that number?

a)

11

b)

-15

c)

6

d)

-16

66.

From the top of a mountain to the floor of the valley below is 4,392 feet. If the valley is 93 feet below sea level, what is the height of the mountain?

a)

4,485 feet

b)

4,299 feet

c)

4,537 feet

d)

4,297

67.

An airplane started at 0 feet. It rose 21,000 feet at takeoff. It then descended 4,329 feet because of clouds. An oncoming plane was approaching, so it rose 6,333 feet. After the oncoming plane passed, it descended 8,453 feet, at what altitude was the plane flying?

a)

16,732 feet

b)

13,736 feet

c)

14,551 feet

d)

15,332 feet

68.

Some number added to -11 is 37. Divide this number by -12. Then, multiply by -8. What is the final number?

a)

-18

b)

23

c)

-11

d)

32

69.

A submarine is 500 feet below sea level. A hot air balloon is 8,550 feet above sea level. The submarine fires a missile at the hot air balloon. How far will the missile have to travel from the submarine to the hot air balloon?

a)

9,050 feet

b)

8,530 feet

c)

8,050 feet

d)

9,160 feet

70.

A diver is located 150 feet below sea level. The diver descends 30 feet. What is the diver's new location?

a)

50 feet above sea level

b)

130 feet below sea level

c)

100 feet below sea level

d)

180 feet below sea level

71.

A shark is swimming at 430 feet below sea level. The shark descends 90 feet and then ascends 300 feet. What is the sharks new location?

a)

220 feet below sea level

b)

640 feet below sea level

c)

127 feet below sea level

d)

342 feet below sea level

72.

At 6am in Buffalo, the temperature was -13 degrees. By noon, the temperature was 27 degrees. How much did the temperature change?

a)

23 degree change

b)

14 degree change

c)

40 degree change

d)

32 degree change

73.

New York City is also called

a)

the Big Apple

b)

the Red Apple

c)

the Stars and Stripes

d)

the City of Angels

74.

What is this famous statue called?

a)

the Statue of Liberty

b)

the Statue of Freedom

c)

the Statue of America

d)

the Statue of Hope

75.

What is this?

a)

a skyscraper

b)

a skybreaker

c)

a skycracker

76.

What is this famous park in New York City called?

a)

the Central Park

b)

the Washington Park

c)

the Park of America

d)

the Park of New York

77.

New York City lies on the coast of ...

a)

the Atlantic Ocean

b)

the Pacific Ocean

c)

the Indian Ocean

d)

the Artic Ocean

78.

The Empire State Building

a)
b)
c)
d)
79.

How many legs does a spider have?

a)

100

b)

4

c)

6

d)

8

80.

Ms. A's birthday is on

a)

December 3

b)

December 12

c)

December 14

d)

She doesn't have a birthday, she is a robot

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