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Worksheets

Rational Numbers & Coordinate Plane

Total questions: 67

Worksheet time: 11hrs 42mins

Name
Class
Date
1.

Which of the following has the greatest value?

a)

-99

b)

-121

c)

-1

d)

-122

2.

Match the following

a)

Negatives are always less than positives.

1.

Always true.

b)

Integers are positive.

2.

Sometimes true.

c)

Absolute value can be a negative value.

3.

Never true.

3.

Which situation is best represented with a negative integer?

a)

68 degrees above zero

b)

A growth of 4 inches

c)

Earnings of $28

d)

78 feet below sea level

4.
What is the opposite -5?
a)
5
b)
0
c)
-5
d)
10
5.
How do you know that 5 and -5 are opposites? 
a)
Because they both have a 5 
b)
They are the same distance from 0 and on opposite sides of 0 
c)
Because they are the same 
d)
They both are on a number line 
6.
Evaluate the expression.
| 9 |
a)
0.9
b)
9
c)
-9
d)
90
7.
What is absolute value?
a)
The value of a number
b)
The opposite of a number
c)
The distance of a number is from zero
d)
The multiplicative inverse of a number
8.
Which of the following is the LEAST?
a)
|-2|
b)
|-4|
c)
|3|
d)
|-5|
9.
Express an integer: a debt of $50
a)
50
b)
-50
10.
What are 2 integers with an absolute value of 15? 
a)
15 and -10
b)
30 and 15
c)
15 and -15
d)
0 and -15
11.
Express an integer: a plane descended 3000 ft
a)
3000
b)
300
c)
-300
d)
-3000
12.
Express as an integer:  at sea level
a)
0
b)
-0
c)
1
d)
-10
13.

Ms. Ballou swam 25 feet below sea level while on vacation. What is the opposite of Ms. Ballou's elevation?

a)

25 feet below sea level

b)

on sea level

c)

25 feet above sea level

d)

250 feet above sea level

14.

In Grand Forks the temperature was  8°F.-8\degree F.  

In  Duluth the temperature was   0°F.0\degree F.  

In St. Cloud the temperature was  15°F.-15\degree F.  

In Huron the temperature was  10°F.-10\degree F.  

Which city has the coldest temperature?

a)

Grand Forks

b)

Duluth

c)

St. Cloud

d)

Huron

15.

Put the following numbers in order from least to greatest...


-8, 13, -2, 0, 4

a)

0, -2, 4, -8, 13

b)

13, 4, 0, -2, -8

c)

13, -8, 4, -2, 0

d)

-8, -2, 0, 4, 13

16.

True or False. The |-55| and |55| are equal.

a)

True

b)

False

17.

What is the opposite of 10

a)

10

b)

0

c)

-10

18.

12 and -12 are an example of what?

a)

negative numbers

b)

positive numbers

c)

even numbers

d)

opposites

19.

3\left|-3\right|  

a)

3

b)

.3

c)

-3

d)

30

20.

compare the integers using < or > or =


-11____ 0

a)

>

b)

<

c)

=

21.

Put the following numbers in order from least to greatest.


10, -5, 3, 16, -1, 0, 1

a)

-1, 5, 0, 1, 3, 10, 16

b)

-5, -1, 0, 1, 3, 10, 16

c)

16, -1, 0, 1, 10, -5, 3

22.

a)

>

b)

<

c)

=

23.

Four bank account balances are -$11, -$16, -$2, and $15. Write the balances in order from least balance to greatest balance.

a)

$15, -$2, -$11, -$16

b)

-$2, -$11, -$16, $15

c)

-$2 , -$16, $15 -$11

d)

-$16, -$11, - $2, $15

24.

Two research submarines are exploring a coral reef. Submarine 1 is at an elevation of −58 feet. Submarine 2

2 is at an elevation of −65 feet. Which elevation is farthest from sea level?

a)

Sub 1

b)

Sub 2

c)

The are both the same distance from sea level.

25.

Three fish are swimming at three different elevations: -1 foot, -5 feet, and -8 feet. Which fish is closest to the surface of the water?

a)

-5

b)

-8

c)

-1

26.

Which is less?

a)

The opposite of 17

b)

17\left|17\right|

27.

What is the opposite of a deposit of $25?

a)

An allowance of $25

b)

An increase of $25

c)

A withdrawal of $25

d)

A credit of $25

28.
Brandon made a profit of $250,000. 
a)
$250,000
b)
-$250,000
c)
$0
29.
30°F degrees below 0°F degrees
a)
30°F
b)
-30°F
c)
0°F
30.
The running back ran for a loss of 2 yards.
a)
-2
b)
0
c)
+2
d)
+22
31.

What is the distance between point A and point C?

a)

5

b)

6

c)

3

d)

1

32.

Find the distance for :

(4,8) and (-9,8)

a)

-13 Units

b)

5 Units

c)

13 Units

d)

-5 Units

33.

The X-Axis tells the person to go ______

a)

Left or Right

b)

Up or Down

c)

Up and Right

d)

Down and Left

34.

The Y-Axis tells the person to go ______

a)

Left or Right

b)

Up or Down

c)

Up and Right

d)

Down and Left

35.

The x-axis is the :

a)

Horizontal Line

b)

Vertical Line

c)

The middle of the Coordinate Plane

d)

Going Up and Down

36.

What is the distance of (8, -8) and (8, 7)?

a)

15 units

b)

1 units

c)

8 units

d)

7 units

37.

When finding the distance: Different Quadrants Require ___ Absolute Values

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

38.

When finding the distance: Same Quadrant Require ____Absolute Values.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

39.

In what Quadrant is the point (-8,-2) located?

a)

I

b)

II

c)

III

d)

IV

40.

In what Quadrant is the point (5,-1) located?

a)

I

b)

II

c)

III

d)

IV

41.

What is the area of Jamal's deck with vertices at (-8,6) (6,6) (6,-4) (-8,-4)

a)

28 square units

b)

48 square units

c)

100 square units

d)

140 square units

42.
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)
43.
What is length of the longest side of the rectangle?
a)
2 units
b)
15 units
c)
14 units
d)
8 units
44.
What is the distance between points (3, -5) and (3, -8)?
a)
1 unit
b)
2 units
c)
3 units
d)
4 units
45.
What is the area of the rectangle?
a)
28 units squared
b)
45 units squared
c)
33 units squared
d)
19 units squared
46.
Ordered pair (0,0) is also known as the ___.
a)
y-axis
b)
x-axis
c)
origin
47.
What is the distance between points  (10, 7) and  (2, 7) on a coordinate plane?
a)

2 units

b)

9 units

c)

10 units

d)

8 units

48.
In which quadrant is the following point?
(-3, 12)
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
49.

The drawing shows points A, B and C. At what location would you add point D to create a square?

a)

( 2,1 )

b)

(4,5)

c)

( 5, 4 )

d)

( 5, 10 )

50.

What rational number is located at the pink dot?

a)

-1.25

b)

1.25

c)

-0.75

d)

0.75

51.

What two integers is

52\frac{5}{2}  between?

a)

0 and 1

b)

1 and 2

c)

5 and 6

d)

2 and 3

52.


3 12-3\ \frac{1}{2}  is in between which two integers?

a)

3 and 4

b)

-3 and -4

c)

-3 and -2

d)

2 and 2

53.

The thermometer in Canada reads 4 below zero. What integer represent the temperature?

a)

4

b)

0

c)

-4

d)

-3

54.

Make the statement True using <, >, or =.


-5 (a)   -1

55.

Which of the following shows integers ordered from least to greatest.

a)

-24, -16, 32, 8

b)

-16, -24, 8, 32

c)

32, 8, -16, -24

d)

-24, -16, 8, 32

56.

Which point on the number line best represents -1.2?

a)

A

b)

B

c)

C

d)

D

e)

E

57.

Label Point C

a)

5/6

b)

-2/6

c)

-2/3

d)

-1/2

58.

Which integer is closer to zero?

a)

-6

b)

-3

c)

+5

d)

+10

59.
What fraction and decimal represents where point "c" is on the number line?
a)

5/10 or .5

b)
4/10 or .4
c)
4/100 or .04
d)

3/4 or .75

60.
A worker in a silver mine descends 60 feet. Use an integer to represent the change in the worker's position.
a)

0 feet

b)
−60 feet
c)
60 feet
d)

|60| feet

61.
Numbers increase as you go left on the number line?
a)
True
b)
False
62.
What integers are less than 0? 
a)
Negative numbers 
b)
no numbers are less than 0 
c)
all numbers 
d)
positive numbers 
63.

Which number is least?

a)

2.3

b)

0

c)

-5.7

d)

-5.84

64.

Use the symbol to make the sentence true (<, >)


.9 _____ -1/9

a)

<

b)

>

c)

none

65.
Fill in the blank with the correct sign >, < , or =
-3.4  ________ -2.5
a)
>
b)
<
c)
=
66.

Order the following numbers in descending order. (greatest to least)
4.2 , 412, 4 , 4 , 0-4.2\ ,\ -4\frac{1}{2},\ -4\ ,\ 4\ ,\ 0  

a)

412, 4.2 , 4 , 4 , 0-4\frac{1}{2},\ -4.2\ ,\ -4\ ,\ 4\ ,\ 0  

b)

0 ,  4 , 4 , 4.2 , 4120\ ,\ \ 4\ ,\ -4\ ,\ -4.2\ ,\ -4\frac{1}{2}  

c)

4 , 0 , 4 , 4.2 , 4124\ ,\ 0\ ,\ -4\ ,\ -4.2\ ,\ -4\frac{1}{2}  

d)

4 , 0 , 4, 412 , 4.24\ ,\ 0\ ,\ -4,\ -4\frac{1}{2}\ ,\ -4.2  

67.

Which answer choice lists the numbers in order from least to greatest?

a)

22% , 312, 0.75 , 8922\%\ ,\ -\frac{3}{12},\ 0.75\ ,\ \frac{8}{9}

b)

312, 89 , 0.75, 22%-\frac{3}{12},\ \frac{8}{9}\ ,\ 0.75,\ 22\%

c)

312, 22% , 0.75 , 89-\frac{3}{12},\ 22\%\ ,\ 0.75\ ,\ \frac{8}{9}

d)

89, 0.75 , 22% , 312\frac{8}{9},\ 0.75\ ,\ 22\%\ ,\ -\frac{3}{12}