wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

Introduction to Inequalities

Total questions: 62

Worksheet time: 2hrs 37mins

Name
Class
Date
1.
more than
a)
<
b)
>
c)
d)
2.
Fewer Than
a)
<
b)
>
c)
d)
3.
No More Than
a)
<
b)
>
c)
d)
4.
At Least
a)
<
b)
>
c)
d)
5.
At Most
a)
<
b)
>
c)
d)
6.
less than or equal to
a)
<
b)
>
c)
d)
7.
Less Than
a)
<
b)
>
c)
d)
8.
Below
a)
<
b)
>
c)
d)
9.
greater than or equal to
a)
<
b)
>
c)
d)
10.
Greater than
a)
<
b)
>
c)
d)
11.
If Mr. Estes has at least 20 students in his 3rd period class, which inequality represents this situation? 
a)
x ≥ 20
b)
x > 20
c)
x ≤ 20 
d)
x = 20
12.
Mrs. Stephens wants at most 2 students in her office at one time. Which answer choice portrays this situation?
a)
x ≠ 2
b)
x < 2
c)
x ≤ 2
d)
x = 2
13.
Which represents the word sentence as an inequality?
A number w is smaller than 5.
a)
w < 5
b)
w > 5
c)
w ≤ 5
d)
w ≥ 5
14.
Which inequality represents the below statement. I can have no more than 10 pieces of candy. 
a)
x ≥ 10
b)
x > 10 
c)
x ≤ 10 
d)
x < 10 
15.

Rory (r) is at most 30 years old

a)

r < 30

b)

r > 30

c)

r ≤ 30

d)

r ≥ 30

16.
The product of x and 7 is not greater than 10
a)
7x >10
b)
7x ≤ 10
c)
7 + x < 10
d)
7 / x <  10
17.
4 plus the product of 6 and n is less than 10
a)
4 + 6n 
< 10
b)
4 - 6 + n 
> 10
c)
6m + n 
≠ 5
d)
4 + 6 + n 
≥ 3
18.
Write an inequality:
Twice the difference of 18 and x is less than 10  
a)
10 - 2(18-x)
b)
2(18÷x) < 10
c)
2(18-x) < 10
d)
10 < 2(18) - x
19.
Write the inequality:
You have to be 54 inches or taller to ride the American Eagle
a)
x > 54
b)
x < 54
c)
x ≥ 54
d)
x ≤ 54
20.
Write the inequality: 
The Chicago Cubs have won more than 100 games.
a)
x > 100
b)
x < 100
c)
x ≥ 100
d)
x ≤ 100
21.
a)
less than
b)
greater than
c)
less than or equal to
d)
greater than or equal to
22.
a)
less than
b)
greater than
c)
less than or equal to
d)
greater than or equal to
23.
Which sentence represents m > 41?
a)
Mary’s points, m, totaled more than 41
b)
Calvin ran no less than 41 miles, m
c)
The temperature, m, was less than 41°F
d)
The magazines’ cost, m, was not more than $41.
24.
All students must get at least a 60% for the year in order to pass math.
a)
x = 60
b)
x > 60
c)
x ≥ 60
d)
x ≤ 60
25.
Edith must read for a minimum of 20 minutes every night.
a)
x > 20
b)
x < 20
c)
x ≥ 20
d)
x ≤ 20
26.
You spent less than 5 hours on homework each night.
a)
x > 5
b)
x < 5
c)
x ≤ 5
d)
x ≥ 5
27.
You and your friends ate more than 8 slices of pizza at the party.
a)
x > 8
b)
x < 8
c)
x ≤ 8
d)
x ≥ 8
28.
What inequality does the number line graph represent?
a)
x > 5
b)
x < −5
c)
x ≥ 5
d)
x ≥ −5
29.
Match the graph with its inequality.
a)
a > 11
b)
a < 11
c)
a ≥ 11
d)
a ≤ 11
30.
When you graph an inequality, you use a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
c)
≤, <
d)
≥, >
31.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
32.
Pick the correct letter for:
6 > x
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.
Which graph matches the inequality
2 > p?
a)
A
b)
B
c)
C
d)
D
36.
Which graph matches the inequality
2 > p?
a)
A
b)
B
c)
C
d)
D
37.
Will my circle be colored in?
5 ≥ x
a)
Yes
b)
No
38.

Which graph matches the inequality

k < 3?

a)

A

b)

B

c)

C

d)

D

39.
When you graph an inequality, you use a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
c)
≤, <
d)
≥, >
40.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
c)
≤, <
d)
≥, >
41.
x is less than or equal to 24
a)
x > 24
b)
x < 24
c)
x ≤ 24
d)
x ≥ 24
42.
you must be at least 48 inches to ride the roller coaster.
a)
x > 48
b)
x < 48
c)
x ≤ 48
d)
x ≥ 48
43.
You can spend no more than 20 dollars on your mom's birthday present.
a)
x > 20
b)
x < 20
c)
x ≤ 20
d)
x ≥ 20
44.
You spent less than 5 hours on homework each night.
a)
x > 5
b)
x < 5
c)
x ≤ 5
d)
x ≥ 5
45.
When graphing b< 6 would you use an open or closed circle?
a)
Open
b)
closed
46.
Edith must read for a minimum of 20 minutes every night.
a)
x > 20
b)
x < 20
c)
x ≥ 20
d)
x ≤ 20
47.
You spent less than 5 hours on homework each night.
a)
x > 5
b)
x < 5
c)
x ≤ 5
d)
x ≥ 5
48.
a)
less than
b)
greater than
c)
less than or equal to
d)
greater than or equal to
49.
a)
less than
b)
greater than
c)
less than or equal to
d)
greater than or equal to
50.

Which symbol says "less than"?

a)

  <<  

b)

>>  

c)

\le  

d)

\ge  

51.

Which symbol says "less than or equal to"?

a)

  <<  

b)

>>  

c)

\le  

d)

\ge  

52.

What is the most popular color of stocking hung each Christmas?

a)

Green

b)

Blue

c)

Red

d)

White

53.

Counting Rudolph, how many reindeer are there?

a)

7

b)

8

c)

9

d)

10

54.

Who are Santa's helpers?

a)

Elves

b)

Fairies

c)

Trolls

d)

Grinches

55.

Where does the Polar Express take children?

a)

North Pole

b)

South Pole

c)

Alaska

d)

Texas

56.

Which reindeer's name begins with the letter "v"?

a)

Vicky

b)

Vincent

c)

Vera

d)

Vixen

57.

What is it that Rudolph never gets to play?

a)

Reindeer Nailed It!

b)

Reindeer Karaoke

c)

Reindeer Games

d)

Reindeer Bake Off!

58.

In Rudolph the Red-Nosed Reindeer, what island does Rudolph and his friends land upon?

a)

Island of Hawaii

b)

Island of Jamaica

c)

Island of Misfit Toys

d)

Island of Misfed Elves

59.

What are Frosty the Snowman's eye's made out of?

a)

Carrots

b)

Coal

c)

Buttons

d)

Rocks

60.

What is the most popular tree topper?

a)

Angel

b)

Star

c)

Ribbon

d)

Flower

61.

What do you normally leave out for Santa on Christmas Eve?

a)

Juice and an orange

b)

Lemonade and candy

c)

Sonic Cherry Limeade

d)

Milk and cookies

62.

What do you normally leave out for Santa on Christmas Eve?

a)

Juice and an orange

b)

Lemonade and candy

c)

Sonic Cherry Limeade

d)

Milk and cookies