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Worksheets

Rational and Coordinate Plane

Total questions: 70

Worksheet time: 3hrs 39mins

Name
Class
Date
1.
Put the following in order LEAST to GREATEST:
125%, 5/3, 12.4
a)
5/3, 12.4, 125%
b)
12.4, 5/3, 125%
c)
125%, 5/3, 12.4
d)
125%, 12.4, 5/3
2.
Order 5/8, 0.5, 58.3% from greatest to least.
a)
5/8, 0.5, 58.3%
b)
5/8, 58.3%, 0.5
c)
58.3%, 5/8, 0.5
d)
58.3%, 0.5, 5/8
3.
Which symbol makes the statement true?
a)
<
b)
>
c)
=
4.
Choose <, >, or = to fill in the circle and create a true statement.
a)
<
b)
>
c)
=
5.
Which symbol makes the statement true?
a)
<
b)
>
c)
=
6.

Which of the following inequalities are correct?

a)

27<37-\frac{2}{7}<-\frac{3}{7}

b)

0>370>-\frac{3}{7}

c)

37<27-\frac{3}{7}<-\frac{2}{7}

7.

Order the following numbers from least to greatest. Place the lowest number on the left. Place one space between each number. No commas.


-62, -19, -42, 0

(a)  

8.

Which of the following inequalities are correct?


Choose all answers that apply. 

a)

23<13-\frac{2}{3}<-\frac{1}{3}

b)

13<23-\frac{1}{3}<-\frac{2}{3}

c)

0>230>-\frac{2}{3}

9.

 Order the following numbers from least to greatest.

Place the smallest number on the left. Add one space between each number. No commas. Type fractions using "/". Example:  14\frac{1}{4}  as 1/4


143 ,    5.1 ,  4-\frac{14}{3}\ ,\ \ \ \ -5.1\ ,\ \ -4  



(a)  

10.

Which number is the smallest?


19  ,   0.1    ,  212\frac{1}{9}\ \ ,\ \ \ -0.1\ \ \ \ ,\ \ -\frac{2}{12}  

a)

19\frac{1}{9}  

b)

0.1-0.1  

c)

212-\frac{2}{12}  

11.

Find the absolute value. | –3 |

a)

-3

b)

3

12.

Find the absolute value. I 5 I

a)

5

b)

-5

13.

Find the absolute value. |572|

a)

-572

b)

572

14.

Find the absolute value. I -808 I

a)

808

b)

-808

15.

Fill in the blank. ∣-5∣ _____ ∣5∣

a)

<

b)

>

c)

=

16.

Fill in the blank. l-6l____6

a)

<

b)

>

c)

=

17.

Evaluate the expression.

|–5| + 8

a)

-13

b)

-3

c)

3

d)

13

18.

Evaluate the expression.

|-2| + |-5|

a)

-7

b)

-3

c)

3

d)

7

19.

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

20.

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 is about the distance from zero. Distance is always positive.

c)

Absolute value is like a clock it has only positive numbers.

d)

Absolute value does not always have to be positive.

21.

Mary takes a flight from Arizona to Alaska. In Arizona, the temperature is 101°F, while in Alaska, the temperature is –11°F. What is the difference between the temperatures in Arizona and Alaska?

a)

90 degrees

b)

-90 degrees

c)

112 degrees

d)

-112 degrees

22.

Anita is relaxing at 14.5 meters above sea level, while Bob is exploring the sea located at 12.6 meters below sea level. What is the vertical distance between Anita and Bob?

a)

1.9 meters

b)

27.1 meters

c)

-1.9 meters

d)

-27.1 meters

23.

Determine the distance between these two numbers.

−2.2 and 8.4

a)

7.2

b)

-8.2

c)

10.6

d)

-11.6

24.
A climber starts descending from 533 feet above sea level and keeps going until she reaches 10 feet below sea level.  How many feet did she descend?
a)
523 feet
b)
543 feet
c)
0 feet
d)
500 feet
25.
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
26.
In Buffalo, New York, the temperature was -14°F in the morning. If the temperature dropped 7°F, what is the temperature now?
a)
-7°F
b)
-21°F
c)
7°F
d)
21°F
27.

Beryl is the first person to finish a 5K race and is standing 15 feet beyond the finish line. Another runner, Jeremy, is currently trying to finish the race and has approximately 14 feet before he reaches the finish line. What is the minimum possible distance between Beryl and Jeremy?

a)

29 feet

b)

30 feet

c)

14 feet

d)

15 feet

28.

What is the change in elevation from 140 feet above sea level to 40 feet below sea level?

(a)  

29.
Which graph matches the inequality
k < 3?
a)
A
b)
B
c)
C
d)
D
30.
Which graph matches the inequality
r ≥ -6?
a)
A
b)
B
c)
C
d)
D
31.
Which inequality matches the graph?
a)
A
b)
B
c)
C
d)
D
32.
Which inequality matches the graph?
a)
A
b)
B
c)
C
d)
D
33.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

34.
What inequality does the number line graph represent?
a)
x ≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ -3
35.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
36.

Which of the following are integers?

a)

8

b)

-3

c)

-8

d)

410\frac{4}{10}  

37.

Which of the following is a whole number?

a)

9

b)

109\frac{10}{9}  

c)

3 12-3\ \frac{1}{2}  

d)

2 232\ \frac{2}{3}  

38.

Which of the following are whole numbers?

a)

0

b)

78\frac{7}{8}  

c)

13\frac{1}{3}  

d)

3

39.

Which of the following are rational numbers?

a)

64

b)

15

c)

74\frac{7}{4}  

d)

7.452

40.

Which of the following are whole numbers?

a)

0

b)

78

c)

35

d)

-88

41.

Is 74.874.\overline{8}  a natural number?

a)

Yes

b)

No

42.

Is 23-23 a rational number?

a)

Yes

b)

No

43.

Which of the following describe 91?

Select all that apply.

a)

irrational number

b)

rational number

c)

natural number

d)

whole number

e)

integer

44.

Select ALL classifications that apply to this number:

10

a)

Real Number

b)

Rational Number

c)

Integer

d)

Whole Number

e)

Natural Number

45.

Select ALL classifications that apply to this number:

89-89

a)

Real Number

b)

Rational Number

c)

Integer

d)

Whole Number

e)

Natural Number

46.

Which quadrant is the ordered pair, (3,5) ?

a)

I

b)

II

c)

III

d)

IV

47.

How many quadrants are on the coordinate plane?

a)

8

b)

2

c)

4

d)

1

48.

What direction does the Y axis move?

a)

north and east

b)

north and south

c)

east and west

d)

south and west

49.

Which letter matches the coordinate (4, -6)?

a)

C

b)

Z

c)

K

d)

None of the above

50.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
51.
Name the quadrant where POINT C is located. 
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
No Quadrant
52.

In which quadrant is letter P?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

53.

What is the coordinate for letter M?

a)

(0,-6)

b)

(0,0)

c)

(6,6)

d)

(-6,0)

54.

Which letter matches the coordinate (-4, -3)?

(a)  

55.
Where is point A located?
a)
( 7 , 2 )
b)
( 2 , 6 )
c)
( - 2 , 7 )
d)
( 2 , 7 )
56.

What is the vocabulary word for the horizontal line at the bottom of the coordinate plane?

a)

X-axis

b)

Y-axis

c)

Origin

d)

Ordered pair

57.
What is coordinate R?
a)
(2,5)
b)
(0,1)
c)
(2,3)
d)
(1,0)
58.
What is the ordered pair for the letter A?
a)
(2, 4)
b)
(4, 2)
c)
(-2, 4)
d)
(2, -4)
59.
Ordered pair (0,0) is also known as the ___.
a)
y-axis
b)
x-axis
c)
origin
60.

What are the coordinates of point B?

(a)  

61.

Mike has at least $250 in his savings account. Which inequality represents this situation?

a)

m < 250

b)

m > 250

c)

m ≤ 250

d)

m ≥ 250

62.

Zach can spend at most $100 on new cloths. Which inequality represents this situation?

a)

s < 100

b)

s > 100

c)

s ≤ 100

d)

s ≥ 100

63.

The band practice will be less than 45 minutes long on Friday. Which inequality represents this situation?

a)

p < 45

b)

p > 45

c)

p ≤ 45

d)

p ≥ 45

64.

All items at Pat's Pasta cost more than $10. Which inequality represents this situation?

a)

i < 10

b)

i > 10

c)

i ≤ 10

d)

i ≥ 10

65.

You have to be taller than 48 inches to ride the roller coaster. Which inequality represents this situation?

a)

r < 48

b)

r > 48

c)

r ≤ 48

d)

r ≥ 48

66.

You have to be 18 or older to buy a Powerball lottery ticket. Which inequality represents this situation?

a)

p < 18

b)

p > 18

c)

p ≤ 18

d)

p ≥ 18

67.

A parent has to ride the bouncing frog ride with any child less than 36 inches tall. Which inequality represents this situation?

a)

c < 36

b)

c > 36

c)

c ≤ 36

d)

c ≥ 36

68.
The value of x is at most 9
a)
x > 15
b)
x > or = 15
c)
x < 15
d)
x < or = 9
69.
The minimum is 15
a)
x > 15
b)
x > or = 15
c)
x < 15
d)
x < or = 9
70.
x is smaller than 9
a)
x < 9
b)
9 < x