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Writing Inequalities

Total questions: 98

Worksheet time: 2hrs 26mins

Name
Class
Date
1.
Stephen has more than $400 in his bank account. The balance of his account can be represented by the variable b. Which inequality best models this situation?
a)
b < 400
b)
b > 400
c)
b ≤ 400
d)
b ≥ 453
2.
Sean has less than $900 in his bank account. The balance of his account can be represented by the variable b. Which inequality best models this situation?
a)
b > 900
b)
b ≤ 900
c)
b < 900
d)
b ≥ 900
3.
Eric has no more than $35,000 in his bank account. The balance of his account can be represented by the variable b. Which inequality best models this situation?
a)
b > 35,000
b)
b < 35,000
c)
b ≤ 35,000
d)
b ≥ 35,000
4.
You must be at least 48 inches tall to ride the Super Man ride at Six-Flags. The variable h could b used to represent the height.  Which inequality best represents this situation?
a)
h < 48
b)
h > 48
c)
h ≤ 48
d)
h ≥ 48
5.
You must be more than 18 years old to join the military.  The variable a could b used to represent the age.  Which inequality best represents this situation?
a)
a > 18
b)
a < 18
c)
a ≤ 18
d)
a ≥ 18
6.
Eric has more than 5 brothers and sisters.  Which inequality can be used to represent this situation?
a)
b < 5
b)
b > 5
c)
b ≤ 5
d)
b ≥ 5
7.
The shoes cost no more than $100.  Which inequality can be used to represent this situation?
a)
s ≤ 100
b)
s < 100
c)
s ≥ 100
d)
s > 100
8.
To get on the roller coaster you must be at least 48 inches tall.  Which inequality can be used to represent this situation?
a)
h ≥ 48
b)
h < 48
c)
h > 48
d)
h ≤ 48
9.
To vote you must be at least 18 years old.  Which inequality can be used to represent this situation?
a)
a ≥ 18
b)
a < 18
c)
a > 18
d)
a ≤ 18
10.
The cost of the dance is more than $5.  Which inequality can be used to represent this situation?
a)
c > 5
b)
c < 5
c)
c ≤ 5
d)
c ≥ 5
11.
Stacy is younger than 20 years old.  Which inequality can be used to represent this situation?
a)
a < 20
b)
a > 20
c)
a ≤ 20
d)
a ≥ 20
12.
The speed limit is more than 50 miles per hour.  Which inequality can be used to represent this situation?
a)
s > 50
b)
s < 50
c)
s ≤ 50
d)
s ≥ 50
13.
Myron is less than 90 inches tall.  Which inequality can be used to represent this situation?
a)
m < 90
b)
m > 90
c)
m ≥ 90
d)
m ≤ 90
14.
Aisha is less than 25 years old.  Which inequality can be used to represent this situation?
a)
a < 25
b)
a > 25
c)
a ≤ 25
d)
a ≥ 25
15.
Tina is more than 8 years old.  Which inequality can be used to represent this situation?
a)
t > 8
b)
t < 8
c)
t ≤ 
16.

The cost of a ski trip could be more than, or equal to, $3,200.

a)

x < 3200

b)

x > 3200

c)

x ≤ 3200

d)

x ≥ 3200

17.

Bella has less than 6 apples in her basket.

a)

a < 6

b)

a > 6

c)

a ≤ 6

d)

a ≥ 6

18.

Mary must read a minimum of 5 books over the summer for her English class.

a)

b < 5

b)

b > 5

c)

b ≤ 5

d)

b ≥ 5

19.

Bill will have, at most, 31 people at his party.

a)

p < 31

b)

p > 31

c)

p ≤ 31

d)

p ≥ 31

20.

A book of stamps at the local post office has less than 22 stamps in it.

a)

s < 22

b)

s > 22

c)

s ≤ 22

d)

s ≥ 22

21.

A purse costs at least $45 at the department store.

a)

d < 45

b)

d > 45

c)

d ≤ 45

d)

d ≥ 45

22.

The weather man said that no less than 4 inches of snow will fall this winter.

a)

i < 4

b)

i > 4

c)

i ≤ 4

d)

i ≥ 4

23.

1300 is greater than or equal to the number of steers at the Circle Y Ranch.

a)

s < 1300

b)

s > 1300

c)

s ≤ 1300

d)

s ≥ 1300

24.

The average customer at Donut Delight buys more than 2 donuts.

a)

d < 2

b)

d > 2

c)

d ≤ 2

d)

d ≥ 2

25.

86 is less than or equal to Lyla’s new time on the downhill ski slope.

a)

t < 86

b)

t < 86

c)

t ≤ 86

d)

t ≥ 86

26.

Willow has to deal a maximum of 10 cards to each player for a certain card game.

a)

c < 10

b)

c > 10

c)

c ≤ 10

d)

c ≥ 10

27.

A lemonade recipe will yield, at most, 16 servings.

a)

s < 16

b)

s > 16

c)

s ≤ 16

d)

s ≥ 16

28.

18 is not more than the number of pieces of candy Emily has.

a)

c < 18

b)

c > 18

c)

c ≤ 18

d)

c ≥ 18

29.

Silver costs at least $1,654 per ounce.

a)

d < 1654

b)

d > 1654

c)

d ≤ 1654

d)

d ≥ 1654

30.

The average American composts a minimum of 1.5 pounds of trash each day.

a)

p < 1.5

b)

p > 1.5

c)

p ≤ 1.5

d)

p ≥ 1.5

31.

A health report requires no less than 2,000 responses to be valid.

a)

r < 2000

b)

r > 2000

c)

r ≤ 2000

d)

r ≥ 2000

32.
you must be at least 48 inches to ride the roller coaster.
a)
x > 48
b)
x < 48
c)
x ≤ 48
d)
x ≥ 48
33.
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
34.
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
35.
You spent less than 5 hours on homework each night.
a)
x > 5
b)
x < 5
c)
x ≤ 5
d)
x ≥ 5
36.
Edith must read for a minimum of 20 minutes every night.
a)
x > 20
b)
x < 20
c)
x ≥ 20
d)
x ≤ 20
37.
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
38.

There are no more than 18 students on the hall.

a)

s>18

b)

s<18

c)

s≤18

d)

s≥18

39.
There are fewer than 150 children at the playground.
a)
c<150
b)
c>150
c)
c≤150
d)
c≥150
40.
At least 25 cats are on my porch.
a)
c<25
b)
c>25
c)
c≤25
d)
c≥25
41.
My sister plans to sell more than 250 boxes of cookies.
a)
c>250
b)
c<250
c)
c≤250
d)
c≥250
42.
Grace has $45 at most in her purse.
a)
g<45
b)
g>45
c)
g≤45
d)
g≥45
43.
Today's temperature will be at least -4 degrees.
a)
t < -4
b)
t > -4
c)
t ≤ -4
d)
t ≥ -4
44.
If m > 17, which is a possible value for m?
a)
12
b)
10
c)
23
d)
7
45.

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

46.

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

47.

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

48.

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

49.

Hannah wants to spend no more than $1,250 on her trip to Disney World. Which inequality represents this situation?

a)

c < 1,250

b)

c > 1,250

c)

c ≤ 1,250

d)

c ≥ 1,250

50.

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

51.

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

52.

The inequality h ≥ 48 represents the minimum height necessary to ride a certain roller coaster. Who can ride this roller coaster?

a)

Sara only

b)

Anna only

c)

Anna and Sara

d)

Anna, Patrick and Miguel

53.

The inequality a < 10 represents the ages that qualify for a child ticket at the movie theater. Which children in the Rodgers' family qualify for a child ticket?

a)

Chris, Megan, Piper

b)

Piper only

c)

Chris and Megan

d)

Piper and Mark

54.
"at most"
a)
>
b)
<
c)
> or =
d)
< or =
55.
"is larger than"
a)
>
b)
<
c)
> or =
d)
< or =
56.
"minimum"
a)
>
b)
<
c)
> or =
d)
< or =
57.
"is not more than"
a)
>
b)
<
c)
> or =
d)
< or =
58.
"at least"
a)
>
b)
<
c)
> or =
d)
< or =
59.
"maximum"
a)
>
b)
<
c)
> or =
d)
< or =
60.
x is smaller than 9
a)
x < 9
b)
9 < x
61.
x is more than 15
a)
x > 15
b)
x > or = 15
62.
The value of x is at most 9
a)
x > 15
b)
x > or = 15
c)
x < 15
d)
x < or = 9
63.
The minimum is 15
a)
x > 15
b)
x > or = 15
c)
x < 15
d)
x < or = 9
64.

A student must be at least 15 years old to obtain a driver’s permit. Let a represent the student's age.

a)

a > 15

b)

a < 15

c)

a ≤ 15

d)

a ≥ 15

e)

a = 15

65.

To order from the kid's menu a person must be no more than 12 years old. Let k represent the kid's age.

a)

k > 12

b)

k < 12

c)

k ≥ 12

d)

k ≤ 12

e)

k = 12

66.
"at most"
a)
>
b)
<
c)
> or =
d)
< or =
67.
"is larger than"
a)
>
b)
<
c)
> or =
d)
< or =
68.
"minimum"
a)
>
b)
<
c)
> or =
d)
< or =
69.
"is below"
a)
>
b)
<
c)
> or =
d)
< or =
70.
"is not more than"
a)
>
b)
<
c)
> or =
d)
< or =
71.
"at least"
a)
>
b)
<
c)
> or =
d)
< or =
72.
"maximum"
a)
>
b)
<
c)
> or =
d)
< or =
73.
x is smaller than 9
a)
x < 9
b)
9 < x
74.
x is more than 15
a)
x > 15
b)
x > or = 15
75.
The value of x is at most 9
a)
x > 15
b)
x > or = 15
c)
x < 15
d)
x < or = 9
76.
The minimum is 15
a)
x > 15
b)
x > or = 15
c)
x < 15
d)
x < or = 9
77.
If s ≤ 35, which is NOT a solution of the inequality?
a)
25
b)
35
c)
42
d)
30
78.
If m > 17, which is a possible value for m?
a)
12
b)
10
c)
23
d)
7
79.
Today's temperature will be at least -4 degrees.
a)
t < -4
b)
t > -4
c)
t ≤ -4
d)
t ≥ -4
80.
My sister plans to sell more than 250 boxes of cookies.
a)
c>250
b)
c<250
c)
c≤250
d)
c≥250
81.
Grace has $45 at most in her purse.
a)
g<45
b)
g>45
c)
g≤45
d)
g≥45
82.
At least 25 cats are on my porch.
a)
c<25
b)
c>25
c)
c≤25
d)
c≥25
83.
There are fewer than 150 children at the playground.
a)
c<150
b)
c>150
c)
c≤150
d)
c≥150
84.
There are fewer than 150 children at the playground.
a)
c<150
b)
c>150
c)
c≤150
d)
c≥150
85.

There are no more than 18 students on the hall.

a)

s>18

b)

s<18

c)

s≤18

d)

s≥18

86.
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
87.
Edith must read for a minimum of 20 minutes every night.
a)
x > 20
b)
x < 20
c)
x ≥ 20
d)
x ≤ 20
88.
You spent less than 5 hours on homework each night.
a)
x > 5
b)
x < 5
c)
x ≤ 5
d)
x ≥ 5
89.
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
90.
you must be at least 48 inches to ride the roller coaster.
a)
x > 48
b)
x < 48
c)
x ≤ 48
d)
x ≥ 48
91.

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

92.

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

93.

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

94.

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

95.

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

96.

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

97.

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

98.
Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike? 
a)
15h ≤ 105
b)
15h > 105
c)
15h < 105
d)
15h ≥ 105

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