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Worksheets

Inequality

Total questions: 40

Worksheet time: 3hrs 49mins

Name
Class
Date
1.
Fewer Than
a)
<
b)
>
c)
≤
d)
≥
2.
No More Than
a)
<
b)
>
c)
≤
d)
≥
3.
At Least
a)
<
b)
>
c)
≤
d)
≥
4.
Not Exceeding
a)
<
b)
>
c)
≤
d)
≥
5.
At Most
a)
<
b)
>
c)
≤
d)
≥
6.

x is at most 13

a)

x ≥ 13

b)

x ≤ 13

c)

x > 13

d)

x < 13

7.

x is a maximum of 4

a)

x < 4

b)

x > 4

c)

x ≤ 4

d)

x ≥ 4

8.

x is a minimum of $30

a)

x < 30

b)

x > 30

c)

x ≤ 30

d)

x ≥ 30

9.

x is less than -3

a)

x < -3

b)

x > -3

c)

x ≤ -3

d)

x ≥ -3

10.

x is greater than or equal to 2

a)

x < 2

b)

x > 2

c)

x ≤ 2

d)

x ≥ 2

11.

You must be at least 16 years old to have a driver’s license.

a)

d > 16

b)

d < 16

c)

d > 16

d)

d < 16

e)

d = 16

12.

You must be older than 12 years old to ride the go-karts.

a)

a > 12

b)

a < 12

c)

a > 12

d)

a < 12

e)

a = 12

13.

Swim practice will be no more than 35 laps.

a)

L > 35

b)

L < 35

c)

L > 35

d)

L < 35

e)

L = 35

14.

The occupancy of the room must be less than 437 people.

a)

p > 437

b)

p < 437

c)

p > 437

d)

p < 437

e)

p = 437

15.

Mrs. Smith is 42 years old.

a)

m > 42

b)

m < 42

c)

m > 42

d)

m < 42

e)

m = 42

16.

To use one stamp, your letter must be under 3.5 ounces.

a)

L > 3.5

b)

L < 3.5

c)

L > 3.5

d)

L < 3.5

e)

L = 3.5

17.

The maximum amount of weight that an elevator can hold is 2,000 pounds.

a)

p > 2,000

b)

p < 2,000

c)

p > 2,000

d)

p < 2,000

e)

p = 2,000

18.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
 11 ≤ a
d)
 11 ≥ a
19.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
20.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
21.
What inequality does the number line graph represent?
a)
-x + 4 ≥ -1
b)
-2x + 3 > -7
c)
-x + 1 < -4
d)
2x + 3 ≥ 13
22.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
c)
≤, <
d)
≥, >
23.
When you graph an inequality, you use a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
c)
≤, <
d)
≥, >
24.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
25.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
26.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
27.
What are two numbers that could be x in  x < 8?
a)
8.6, 7.9
b)
11, 16
c)
0.8, 5.9
d)
12, 7.1
28.
Would you use a closed or open circle to graph
x < 3?
a)
Closed
b)
Open
29.
What inequality does the number line graph represent?
a)
x≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ 3
30.
Which graph matches the inequality
r ≥ -6?
a)
A
b)
B
c)
C
d)
D
31.
Which graph matches the inequality
-2 ≥ n?
a)
A
b)
B
c)
C
d)
D
32.
Which inequality matches the graph?
a)
A
b)
B
c)
C
d)
D
33.
Solve y-3 > 12
a)
y > 15
b)
y > 8
c)
y < 15
34.
Solve 5x ≤ 45
a)
x > 9
b)
x > 50
c)
x ≤ 9
d)
x < 50
35.
Laverne is making bags of party favors for each of the 7 friends attending her birthday party. She does not want to spend more than $42 on the party favors. Write and solve an inequality to find the maximum cost for each party favor bag.
Let c represent the cost for each bag of party favors. 
a)
7c ≤ 42 ; c ≤ 6
b)
7c ≥ 42; c ≥ 6
c)
7c < 42; c < 6
d)
7c > 42; c > 6
36.
Johanna's parents give her $10 per week for lunch money. She cannot decide whether she wants to buy or pack her lunch. If a hot lunch at school costs $2, write and solve an inequality to find the maximum number of times per week Johanna can buy her lunch.
a)
2x < 10; x < 15
b)
2x ≥ 10; x ≥ 5
c)
2x ≤ 10; x ≤ 5
37.
7b - 3 < 11
a)
b < 2
b)
84 > b
c)
b > 2
d)
b < 84
38.

What does the top inequality on this picture represent?
a)
x < 2
b)
x > 2
c)
x ≤ 2
d)
x ≥ 2
39.

Solve the linear inequality.

a)

x > 1

b)

x > 5

c)

x > -1

d)

x < -1

40.
Which of the following is the solution of  2x + 3 ≤ 9 in real numbers?
a)
x ≤ 3
b)
x ≥ 2
c)
x ≤ 6
d)
x < 6

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