WorksheetsIntroduction to Inequalities
Total questions: 50
Worksheet time: 50mins
Name
Class
Date
1.
When graphing do you use an open or closed circle for > ?
a)
Open
b)
Closed
2.
When graphing do you use an open or closed circle for < ?
a)
Open
b)
Closed
3.
a)
x≥3
b)
x≤3
c)
x>3
d)
x<3
4.
Write the inequality:
The Chicago Cubs have won more than 100 games.
The Chicago Cubs have won more than 100 games.
a)
x > 100
b)
x < 100
c)
x ≥ 100
d)
x ≤ 100
5.
Write the inequality:
You have to be 54 inches or taller to ride the American Eagle
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
6.
Write the inequality:
There are fewer than 20 days left in October.
There are fewer than 20 days left in October.
a)
x > 20
b)
x < 20
c)
x ≥ 20
d)
x ≤ 20
7.
Write the inequality:
The speed limit on Rollins Road is 35 miles per hour.
The speed limit on Rollins Road is 35 miles per hour.
a)
x > 35
b)
x < 35
c)
x ≥ 35
d)
x ≤ 35
8.
If you were to graph the inequality would the circle be open or closed?
x ≥ 15
x ≥ 15
a)
open
b)
closed
9.
If you were to graph the inequality would the circle be open or closed?
x > 45
x > 45
a)
open
b)
closed
10.
If you were to graph the inequality would the arrow point to the left or right?
x < 17
x < 17
a)
left
b)
right
11.
If you were to graph the inequality would the arrow point to the left or right?
x ≤ 9
x ≤ 9
a)
left
b)
right
12.
a)
greater than
b)
less than
c)
less than or equal to
d)
greater than or equal to
13.
a)
greater than
b)
less than
c)
less than or equal to
d)
greater than or equal to
14.
a)
greater than
b)
less than
c)
less than or equal to
d)
greater than or equal to
15.
a)
greater than
b)
less than
c)
less than or equal to
d)
greater than or equal to
16.
Which inequality could be used to represent the situation: you must donate at least $5 to get a free popcorn.
a)
x < 5
b)
x > 5
c)
x ≤ 5
d)
x ≥ 5
17.
Which inequality could be used to represent the situation: Mrs. Bailey graded more than 5 papers with no name on them.
a)
x < 5
b)
x > 5
c)
x ≤ 5
d)
x ≥ 5
18.
Which inequality could be used to represent the situation: At least 5 students wore jeans on jeans day.
a)
x < 5
b)
x > 5
c)
x ≤ 5
d)
x ≥ 5
19.
Which inequality could be used to represent the situation: Less than 5 students purchased a slushie at lunch.
a)
x < 5
b)
x > 5
c)
x ≤ 5
d)
x ≥ 5
20.
Which inequality could be used to represent the situation: At least 5 students earned an A on their last post assessment.
a)
x < 5
b)
x > 5
c)
x ≤ 5
d)
x ≥ 5
21.
Which inequality could be used to represent the situation: A maximum of 5 students are chosen to be peer mediators.
a)
x < 5
b)
x > 5
c)
x ≤ 5
d)
x ≥ 5
22.
Which inequality can be represented by the graph?
a)
x < 5
b)
x > 5
c)
x ≤ 5
d)
x ≥ 5
23.
Which inequality can be represented by the graph?
a)
x < 5
b)
x > 5
c)
x ≤ 5
d)
x ≥ 5
24.
Which inequality can be represented by the graph?
a)
x < 5
b)
x > 5
c)
x ≤ 5
d)
x ≥ 5
25.
Which inequality can be represented by the graph?
a)
x < 5
b)
x > 5
c)
x ≤ 5
d)
x ≥ 5
26.
Write x ≤ 23 in words.
a)
x is greater than 23
b)
x is greater than or equal to 23
c)
x is less than 23
d)
x is less than or equal to 23
27.
Which phrase best describes the graph of 4 > b?
a)
open circle, arrow pointing left
b)
open circle, arrow pointing right
c)
closed circle, arrow pointing right
d)
closed circle, arrow pointing left
28.
To qualify for an award, a student volunteers no less than 5 hours each week at the local hospital. Write an inequality that represents how many hours the student volunteers each week.
a)
X < 5
b)
X > 5
c)
X ≥ 5
d)
X ≤ 5
29.
A student must be at least 15 years old to obtain a driver’s permit.
a)
x > 15
b)
x < 15
c)
x ≤ 15
d)
x ≥ 15
30.
Choose the group of numbers that satisfy the inequality:
x < -4
a)
-4, -5, -6
b)
-4.001, -5, -6
c)
5, 6, 7
d)
0, -5, -10
31.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥
b)
<, >
32.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥
33.
Fewer Than
a)
<
b)
>
c)
≤
d)
≥
34.
No More Than
a)
<
b)
>
c)
≤
d)
≥
35.
more than
a)
<
b)
>
c)
≤
d)
≥
36.
At Least
a)
<
b)
>
c)
≤
d)
≥
37.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
38.
Pick the correct letter for:
x < 6
a)
A
b)
B
c)
C
d)
D
39.
Less than or equal to
a)
<
b)
>
c)
≤
d)
≥
40.
Greater than or equal to
a)
<
b)
>
c)
≤
d)
≥
41.
The keywords "at least" are used with which of the following symbols?
a)
≥
b)
≤
c)
>
d)
<
42.
The keywords "at most" are used with which of the following symbols?
a)
≤
b)
>
c)
<
d)
≥
43.
To order from the kids menu a person must be no more than 12 years old (less than or equal to 12 years old).
a)
x > 12
b)
x < 12
c)
x ≥ 12
d)
x ≤ 12
44.
Which value satisfies the inequality?
x > 7
a)
2
b)
5
c)
6
d)
8
45.
Select the TWO possibly values that satisfy the inequality.
x≤8
a)
7
b)
8
c)
9
d)
10
46.
Select the THREE possibly values that satisfy the inequality.
x>−7
a)
-11
b)
-4
c)
-3.5
d)
32
47.
Select the TWO possibly values that satisfy the inequality.
17≥x
a)
9
b)
12
c)
19
d)
20
48.
Which of the following choices are solutions to the inequality?
x > 4
SELECT ALL THE APPLY
a)
3
b)
4
c)
5
d)
6
49.
Which of the following choices are solutions to the inequality?
X ≤ 10
SELECT ALL THAT APPLY
a)
10
b)
11
c)
9
d)
8
50.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
100 %
