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Worksheets

Rational Number Practice

Total questions: 64

Worksheet time: 2hrs 27mins

Name
Class
Date
1.

Write an integer that represents the situation:

"You withdraw $25 from your bank."

a)

+25

b)

25

c)

-25

2.

Which of the following is an example of two opposite integers?

a)

1/4 and -1/4

b)

-4 and - 8

c)

4 and -4

d)

2 and 0

3.

Which temperature is warmer?

-156 degrees Celsius or -187 degrees Celsius?

a)

-156

b)

-187

4.

Which one of the following answers is an example of two, opposite rational numbers?

a)

-4.1 and -4.1

b)

-4.6 and 4.6

c)

+ 5 and 5

5.

Which of the following symbols would make the inequality true?

a)

<

b)

>

c)

=

d)

None of the options

6.

Which of the following symbols will make the inequality true?


-4.8 _________ -4.08

a)

<

b)

>

c)

=

7.

Which integer would represent the situation:


You climb 600 feet above sea level.

a)

+600

b)

0

c)

-600

8.

Order the integers from LEAST to GREATEST:

-14, 11, 0, -16, 2,

a)

0, 2, 11, -14, -16

b)

-16, -14, 11, 0, 2

c)

-16, -14, 0, 2, 11

d)

-14, -16, 0, 2, 11

9.
Fill in the blank with the correct sign >, < , or =
-1.8_____ 0.8
a)
>
b)
<
c)
=
10.
Fill in the blank with the correct sign >, < , or =
-3.4  ________ -2.5
a)
>
b)
<
c)
=
11.
Fill in the blank with the correct sign >, < , or =
1/2 _______ -1/2
a)
>
b)
<
c)
=
12.
Fill in the blank with the correct sign >, < , or =
-3/4 ________ -4/5
a)
>
b)
<
c)
=
13.
List in order from least to greatest.
5/4, 56%, 1.07, 4/5
a)
5/4, 56%, 1.07, 4/5
b)
1.07, 4/5, 5/4, 56%
c)
56%, 1.07, 4/5, 5/4
d)
56%, 4/5, 1.07, 5/4
14.
Order from least to greatest:
[-8, 7, -6, 5, -4, 3, -2]
a)
-2, 3, -4, 5, -6, 7, -8
b)
-2, -4, -6, -8, 3, 5, 7
c)
-6, -8, -4, -2, 7, 5, 3
d)
-8, -6, -4, -2, 3, 5, 7
15.
Which is ordered in ascending order?
a)
1/4, -3/7, 1/2
b)
-3/7, 1/2, 1/4
c)
1/2, 1/4, -3/7
d)
-3/7, 1/4, 1/2
16.
Put the rational numbers in order from least to greatest.
-4.2, -4 1/2, -4, 0, 4 
a)
0, -4 1/2, -4.2, 4, -4
b)
-4 1/2, -4.2, -4, 0, 4
c)
-4 1/2, -4.2, -4, 4, 0
17.
Put the rational numbers in order from least to greatest.
-1, -1.1, -1.5, -1.15, -0.5
a)
-1.5, -1.15, -1.1, -1, -0.5
b)
-1.1, -1, -1.5, -1.15, -0.5
c)
-0.5, -1.1, -1, -1.5, -1.15
18.
Which is ordered in ascending order?
a)
1/2, 3/4, 1/4, 2/3
b)
1/2, 2/3, 1/4, 3/4
c)
1/4, 1/2, 2/3, 3/4
19.

Order coldest to warmest:


18°F -55°F -25°F 0°F 10°F

a)

0°F, 10°F,18°F, -25°F, -55°F

b)

-25°F, -55°F, 0°F, 10°Fm 18°F

c)

-55°F, -25°F, 0°F, 10°F, 15°F

d)

15°F, 10°F, 0°F, -25°F, -55°F

20.

Which of the following represents the changes in sales in order from greatest to least?

a)

Pants, shirts, belts, shoes, ties

b)

Ties, shoes, belts, shirts, pants

c)

Belts, shirts, pants, shoes, ties

d)

Ties, shoes, pants, shirts, belts

21.
What is the opposite of -3?
a)
3
b)
0
c)
-1/3
d)
1/3
22.
The opposite of a positive number will always be
a)
positive.
b)
negative.
23.
It is 8 degrees below 0.  Write the temperature as an integer.
a)
8
b)
-8
24.
Choose <, >, or = to fill in the circle and create a true statement.
a)
<
b)
>
c)
=
25.
Choose <, >, or = to fill in the circle and create a true statement.
a)
<
b)
>
c)
=
26.

Convert 35 1/4 to a decimal.

a)

35.83

b)

35.25

c)

1.4

27.
Make the percent to decimal.
7%
a)
.007
b)
0.07
c)
7
d)
70
28.
Make the percent to decimal.
25%
a)
2.5
b)
25
c)
0.025
d)
0.25
29.

Order from Least to Greatest:

a)

-1/20, -5/8, 0, -1, -3/4

b)

-1, -3/4, -5/8, -1/20, 0

c)

0, -3/4, -5/8, -1/20, -1

d)

-1, -1/20, -5/8, -3/4

30.
Solve
a)
2
b)
-2
c)
6
d)
-6
31.
I -808 I
a)
808
b)
-808
32.
Find the absolute value
a)
-43
b)
43
c)
0
d)
-1
33.
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.
34.
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
35.
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
36.
Which quadrant contains the point named by (2, 5)?
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
37.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
38.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
39.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
40.
The coordinates for the origin in the coordinate plane are________?
a)
(1,1)
b)
(0,0)
c)
(0,1)
d)
(1,0)
41.
If I want to plot point (4,9), I will go up 4 and over 9.
a)
TRUE
b)
FALSE
42.
What is (-9, 8) reflected across the x axis?
a)
(-9, 8)
b)
(-9, -8)
c)
(8, -9)
d)
9, 8)
43.
What is (2, 4) reflected across the y?
a)
(2, -4)
b)
(-2, -4)
c)
(4, -2)
d)
(-2, 4)
44.
What is (5, -3) reflected across the x and then the y?
a)
(-5, 3)
b)
(-5, 3)
c)
(5, 3)
d)
(-3, 5)
45.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
46.
∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the y-axis, what will S' be?
a)
S'(3, 7)
b)
S'(-3, 7)
c)
S'(-3, -7)
d)
S'(3, 7)
47.
(9, 2) and (9, 10)
a)
8
b)
12
c)
-8
d)
12
48.
(3, 5) and (6, 5)
a)
9
b)
3
c)
-9
d)
-3
49.
(5,3) and (-9,3)
a)
14
b)
-14
c)
4
d)
-4
50.

There are no more than 18 students on the hall.

a)

s>18

b)

s<18

c)

s≤18

d)

s≥18

51.
There are fewer than 150 children at the playground.
a)
c<150
b)
c>150
c)
c≤150
d)
c≥150
52.
At least 25 cats are on my porch.
a)
c<25
b)
c>25
c)
c≤25
d)
c≥25
53.
Grace has $45 at most in her purse.
a)
g<45
b)
g>45
c)
g≤45
d)
g≥45
54.
Which graph matches the inequality
-2 ≥ n?
a)
A
b)
B
c)
C
d)
D
55.
Which graph matches the inequality
r ≥ -6?
a)
A
b)
B
c)
C
d)
D
56.
Which graph matches the inequality 
x < -1.1?
a)
A
b)
B
c)
C
d)
D
57.
What inequality does the number line graph represent?
a)
x ≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ 3
58.
Which value is true for the inequality
70 < x - 12
a)
x = 12
b)
x = 20
c)
x = 80
d)
x = 100
59.
Which value is true for the inequality x/3 < 5
a)
x = 30
b)
x = 15
c)
x = 6
d)
x = 60
60.
7 ≤ x
Is 12 a solution?
a)
Yes
b)
No
61.
x + 5 > 7
a)
x > -2
b)
x > 2
c)
x > 12
d)
x > -12
62.
r - 14 ≥ 17
a)
r ≥ 3
b)
r ≥ -31
c)
r ≥ 31
d)
r ≥ -3
63.
8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
64.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
 11 ≤ a
d)
 11 ≥ a