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Worksheets

Inequalities Scenarios

Total questions: 23

Worksheet time: 24mins

Name
Class
Date
1.
you must be at least 48 inches to ride the roller coaster.
a)
x > 48
b)
x < 48
c)
x ≤ 48
d)
x ≥ 48
2.
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
3.
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
4.
You spent less than 5 hours on homework each night.
a)
x > 5
b)
x < 5
c)
x ≤ 5
d)
x ≥ 5
5.
Edith must read for a minimum of 20 minutes every night.
a)
x > 20
b)
x < 20
c)
x ≥ 20
d)
x ≤ 20
6.
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
7.
x is no more than 13
a)
x < 13
b)
x > 13
c)
x ≥ 13
d)
x ≤ 13
8.

There are no more than 18 students on the hall.

a)

s>18

b)

s<18

c)

s≤18

d)

s≥18

9.
At least 25 cats are on my porch.
a)
c<25
b)
c>25
c)
c≤25
d)
c≥25
10.

Which scenario could be represented by the graph?

a)

The temperature is less than -1 degree.

b)

The temperature is more than -1 degree.

c)

The temperature is at most -1 degree.

d)

The temperature is at least -1 degree.

11.

You must spend at least $10 at the grocery store to get a free reusable shopping bag. Which inequality represents the amount you need to spend to get a free shopping bag?

a)

x<10

b)

x>10

c)

x>10

d)

x<10

12.

Mr. Gomez gets a notice from the bank when the amount in his checking account drops below $20. Which inequality represents when Mr. Gomez will receive a notice from the bank?

a)

x<20

b)

x>20

c)

x>20

d)

x<20

13.

When the following inequality is graphed, what will it look like?


r < -12.97

a)

open circle

b)

closed circle

14.

When the following inequality is graphed, what will it look like?


y<5

a)

open circle

b)

closed circle

15.

When the following inequality is graphed, what will it look like?


"Kelsey has at most 10 dollars"

a)

open circle

b)

closed circle

16.

When the following inequality is graphed, what will it look like?


"Alex will spend less than 35 minutes playing video games"

a)

open circle

b)

closed circle

17.
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
18.
Write the inequality: 
The Chicago Cubs have won more than 100 games.
a)
x > 100
b)
x < 100
c)
x ≥ 100
d)
x ≤ 100
19.
Melissa wants to spend no more than $300 on school clothes. She spends $75 on a coat and then wants to buy some sweaters that are on special for $10 each. Write an inequality to show how many sweaters Melissa can buy. DO NOT SOLVE
a)
75x-10 ≥ 300
b)
75+10 ≤ 300x
c)
10x ≥ 300
d)
75+10x ≤ 300
20.
Solve the following inequality:
-4x + 14 ≤ 54
a)
x ≥ -10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
21.
Julia wants to go bowling at the Syosset Bowling Alley. Each game costs $4.25. She needs to rent shoes, which costs $3.75. Julia does not want to spend more than $25. What is the maximum number of games Julia can bowl? Which translation matches the situation?
a)
3.75x + 4.25 ≥ 25
b)
3.75 + 4.25x ≤ 25
c)
3.75 + 4.25x  ≥ 25
d)
3.75x + 4.25 ≤ 25
22.
Luke went to the St. Boniface Feast with $22.50 in his pocket. He bought a hot dog and a drink for $3.75, and then wanted to spend the rest of his money on tickets for rides which cost $1.25 per ticket. Write an inequality if Luke does not exceed 22.50.
a)
22.50 - 3.75x ≥ 1.25
b)
22.50 - 1.25x > 3.75
c)
1.25x + 3.75 < 22.50
d)
22.50 ≥ 1.25x + 3.75
23.
Jack’s age is three years more than twice his younger brother’s, Jimmy’s, age. If the sum of their ages is at most 18, write an inequality to find the possible ages Jimmy.
a)
3x + 3  ≥   18
b)
2x + 3 ≥ 18
c)
3x + 3 ≤ 18
d)
2x + 3 ≤ 18