Worksheet: One-Step Inequalities in Real-World Problems

In this worksheet, we will practice formulating a one-step inequality in a real-world context and solving it to get the range of values satisfying that inequality.

Q1:

A shipping company is loading boxes onto a truck. The truck can carry a maximum of 6,500 pounds of cargo. If each box weighs 100 pounds, write and solve an inequality that can be used to find the number of boxes loaded onto the truck.

  • A 6 , 5 0 0 𝑥 1 0 0 , 𝑥 1 6 5
  • B 1 0 0 𝑥 6 , 5 0 0 , 𝑥 6 5
  • C 6 , 5 0 0 𝑥 1 0 0 , 𝑥 1 6 5
  • D 1 0 0 𝑥 6 , 5 0 0 , 𝑥 6 5
  • E 1 0 0 𝑥 > 6 , 5 0 0 , 𝑥 > 6 5

Q2:

A rectangle has a length of 8 inches and an area less than 40 square inches. Write and solve an inequality to determine its width.

  • A 8 + 𝑥 > 4 0 , 𝑥 > 3 2
  • B 8 𝑥 > 4 0 , 𝑥 > 5
  • C 𝑥 8 < 4 0 , 𝑥 < 4 8
  • D 8 𝑥 < 4 0 , 𝑥 < 5
  • E 8 𝑥 4 0 , 𝑥 5

Q3:

Mona wants to buy some goldfish. She can only spend up to $27, and the fish cost $3 each. Write an inequality to find how many goldfish Mona can buy, and then solve it.

  • A ,
  • B ,
  • C ,
  • D ,
  • E ,

Q4:

Nabil limits his video gaming to no more than 11 hours a week. He has already played for 8 hours this week. Write an inequality to find out how much more time Nabil can spend playing video games this week, and then solve it.

  • A ,
  • B ,
  • C ,
  • D ,
  • E ,

Q5:

Given that seven times a number is less than 21, write an inequality to describe this information, and then solve it.

  • A 7 + 𝑥 > 2 1 , 𝑥 > 1 4
  • B 7 𝑥 > 2 1 , 𝑥 > 3
  • C 𝑥 7 < 2 1 , 𝑥 < 2 8
  • D 7 𝑥 < 2 1 , 𝑥 < 3
  • E 7 𝑥 2 1 , 𝑥 3

Q6:

Asuka hopes that someday she will manage to collect more than 85 vintage comic books. She currently has 63 comics. Write and solve an inequality that can be used to determine how many books Asuka needs to get to complete her collection.

  • A 𝑥 8 5 > 6 3 , 𝑥 > 1 4 8
  • B 𝑥 6 3 > 8 5 , 𝑥 > 2 2
  • C 𝑥 + 6 3 < 8 5 , 𝑥 < 2 2
  • D 𝑥 + 6 3 > 8 5 , 𝑥 > 2 2
  • E 𝑥 6 3 < 8 5 , 𝑥 < 1 4 8

Q7:

Shady and nine of his friends want to buy a birthday cake. They plan on splitting the cost, and they want to spend at most $8.50 per person. Write an inequality to find the cost of the cake they should buy, and then solve it.

  • A ,
  • B ,
  • C ,
  • D ,
  • E ,

Q8:

Write an inequality to describe the following problem, and then solve it: nine less than a number is more than fourteen.

  • A 𝑥 + 9 > 1 4 , 𝑥 > 5
  • B 𝑥 9 < 1 4 , 𝑥 < 2 3
  • C 𝑥 + 9 < 1 4 , 𝑥 < 5
  • D 𝑥 9 > 1 4 , 𝑥 > 2 3
  • E 𝑥 + 9 1 4 , 𝑥 5

Q9:

Write an inequality that represents the following problem, and then solve it: The sum of a number and 7.2 is at least 12.4.

  • A 𝑥 7 . 2 1 2 . 4 , 𝑥 1 9 . 6
  • B 𝑥 + 7 . 2 1 2 . 4 , 𝑥 5 . 2
  • C 𝑥 7 . 2 1 2 . 4 , 𝑥 1 9 . 6
  • D 𝑥 + 7 . 2 1 2 . 4 , 𝑥 5 . 2
  • E 𝑥 1 2 . 4 7 . 2 , 𝑥 1 9 . 6

Q10:

Fares wants to buy groceries. He wants to have at least $80 cash with him, and he currently has $15. Write and solve an inequality that would determine how much cash Fares should withdraw from the bank.

  • A ,
  • B ,
  • C ,
  • D ,
  • E ,

Q11:

Using the table which shows the literacy rates in several countries, determine which country has a literacy rate of at least 8 1 % .

Country Country A Country B Country C Country D
Literacy Rate 7 3 % 6 1 % 8 1 % 6 7 %
  • ACountry A
  • BCountry B
  • CCountry D
  • DCountry C

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.