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Worksheets

Real Numbers

Total questions: 60

Worksheet time: 2hrs 8mins

Name
Class
Date
1.

A submarine was 1800 ft below sea level.

a)

-1000

b)

-800

c)

-1800

d)

300

2.

Which is less and why? -5 or -6

a)

-6 because 6 is less than 5

b)

-6 because it is farther to the right on the number line

c)

-6 because it is farther to the left on the number line

3.

Negative integers are integers that are ________ than zero.

a)

less

b)

greater

4.

Positive integers are integers that are ____________ than zero.

a)

less

b)

greater

5.

Three degrees below zero.

a)

0

b)

-3

c)

3

d)

-.03

6.

Choose ALL the correct corresponding statements for: 7

a)

A gain of 7 yards

b)

A loss of 7 yards

c)

The elevator went up 7 floors.

d)

The temperature rose 7 degrees.

7.

Which situations are represented by 0?

a)

Sea level

b)

ground floor of a building

c)

A loss of 5 yards

d)

Parked in the below ground parking garage.

8.

What is the opposite of 3?

a)

1/3

b)

0

c)

3

d)

-3

9.

What is the absolute value of -1.3

a)

1.3

b)

-1.3

c)

-13/10

d)

0

10.

| 5 - 7 | =

a)

12

b)

-2

c)

2

d)

-12

11.
What is the OPPOSITE of the OPPOSITE of 9? 
a)
9
b)
-9
c)
0
d)
1.9
12.
Which inequality is true?
a)
-4.33 < -4.3
b)
-12.9 < -12.97
c)
-7.48 < -7.5
d)
-1.5 < -1.64
13.
What fraction makes the inequality true?
3/7 > ________
a)
2/3
b)
3/5
c)
5/12 
d)
7/15
14.

what is the absolute value of -|14|? (The opposite of the absolute value of 14)

a)

14

b)

21

c)

33

d)

-14

15.
what is the absolute value of -|24|? 
a)
-24
b)
24
c)
98
d)
11
16.
Is absolute value always positive?
a)
yes
b)
no
17.
What is the absolute value of |55|?
a)
-55
b)
45
c)
55
d)
--55
18.
What is the opposite of zero?
a)
1
b)
-1
c)
0
19.
l - 4 l  + l -1 l
a)
5
b)
3
c)
4
d)
-5
20.

What's the definition of 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

21.

Select all answers that could represent a negative integer.

a)

deposit

b)

discount

c)

withdraw

d)

below zero

22.

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

a)

below the surface

b)

above sea level

c)

earned

d)

deposit

23.
What is the reason that absolute value is always written as a positive?
a)
Absolute value is talking about numbers so it must be positive.
b)
Absolute value does not always have to be positive.
c)
Absolute value is like a clock it has only positive numbers.
d)
Absolute value is talking about distance, distance is always measured by positive numbers.
24.
Compare |-5| to the |-10|
a)
|-5| > |-10|
b)
|-5| = |-10|
c)
|-5| < |-10|
25.
What is the absolute value of -1/5? 
a)
1/5
b)
-1/5
c)
0
26.

What do you know about distance?

a)

Distance is always positive

b)

Distance can never be positive

27.

Evaluate: |0|

a)

0

b)

-0

c)

+0

d)

There is no answer

28.

The distance a number is from zero on a number line describes ...

a)

inequality

b)

absolute value

c)

negative number

d)

positive number

29.

-11 + (-3)

a)

-8

b)

8

c)

-14

d)

33

30.
At midnight, the temperature was 30 degrees Fahrenheit.  By 6:00 a.m., it had dropped 5 degrees Fahrenheit and by noon, it had increased by 11 degrees Fahrenheit.  What was the temperature at noon?
a)
46 degrees
b)
36 degrees
c)
14 degrees
d)
12 degrees
31.

-8+15

a)

-7

b)

6

c)

7

d)

23

32.
Sara's mother bought 3  1/2 lbs of squash, 1  1/10 pounds of onions, and 1   4/5 pounds of green beans. How many pounds of vegetables did she buy?
a)
3  1/25
b)
5  6/17
c)
5   3/5
d)
6   2/5
33.
3 + -7
a)
10
b)
4
c)
-10
d)
-4
34.
-15 - 3
a)
12
b)
-12
c)
-18
d)
18
35.
-9 + (-5)
a)
-14
b)
14
c)
-4
36.
7 - (-4)=
a)
11
b)
3
c)
-3
d)
-11
37.
-2 - (-6)=
a)
-8
b)
8
c)
4
d)
-4
38.
2 - - 10
a)
7
b)
8
c)
12
d)
-8
39.
What is the value of  |-10| + |4| - |-8|?
a)
-2
b)
2
c)
6
d)
20
40.
-7 x 4
a)
24
b)
28
c)
-28
d)
-24
41.
-5 x -8
a)
-40
b)
-13
c)
-45
d)
40
42.
36 / -6
a)
6
b)
7
c)
-6
d)
-8
43.
What is the value of –6.25 – 3.15 – 2.14?
a)
A.   -11.54
b)
B.   -11.44
c)
C.  –7.26
d)
D.  –5.24
44.
A restaurant made 16.5 gallons of tea. 
The first hour the restaurant was opened, 3.4 gallons of tea were served.The second hour, 6.9 more gallons of tea were served. How much tea was left after the second hour?
a)
A.  13.1 gallons
b)
B.   10.3 gallons
c)
C.  6.2 gallons
45.
Which expression is equivalent to 0?
a)
A.  eight less than ten minus two
b)
B.  negative eleven plus seven plus five
c)
C.  twenty-two minus forty plus nineteen
d)
D.  negative seventeen minus two plus fifteen
46.
The price of one share of a stock increased by $3 on Monday and then decreased by $4 on Tuesday. Which expression shows the change in the price of a share of the stock in two days?
a)
A.   3+(-4)
b)
B.   3-(-4)
c)
C.   4+(-3)
d)
D.   4-(-3)
47.
If two different numbers have a sum of zero, which statement is true?
a)
A.   One of the numbers is zero
b)
B.   The numbers are equivalent.
c)
C.   The numbers are opposites.
d)
D.   The numbers are multiplicative inverses of each other
48.
What is length of the longest side of the rectangle?
a)
2 units
b)
15 units
c)
14 units
d)
8 units
49.
Which of the coordinates given could be the fourth point used to form a rectangle?
a)
(3, -6)
b)
(-3, -6)
c)
(-6, 3)
d)
(4, -6)
50.
Which quadrant contains the point named by (2, 5)?
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
51.

In which quadrant is the following point?

(-3, -12)

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

52.
Which axis runs vertically?
a)
x
b)
Y
53.
Which axis runs horizontally?
a)
x
b)
y
54.
Ordered pair (0,0) is also known as the ___.
a)
y-axis
b)
x-axis
c)
origin
55.
The axes divide the coordinate plane into four sections called what? 
a)
ordered pairs
b)
origins
c)
quadrants
d)
coordinate plane
56.

Name the quadrant where POINT C is located.

a)

Quadrant I

b)

Quadrant IV

c)

Quadrant III

d)

Quadrant II

57.
The rectangle shown has coordinates (3, 2), (-2, 2), (-2, -1), (3, -1)
What is the length of the longest side of the rectangle?
a)
4 units
b)
5 units
5 units
c)
6 units
d)
8 units
58.
What is the length of the shortest side of the rectangle?
a)
3 units
b)
4 units
c)
9 units
d)
2 units
59.
What is the distance between points (-7, 8) and (2, 8)?
a)
4 units
b)
5 units
c)
3 units
d)
9 units
60.
What is the distance between points (3, -5) and (3, -8)?
a)
1 unit
b)
2 units
c)
3 units
d)
4 units