Show Answers

This document has 2 pages. Print only the pages you need.

Note: You will find guidance on using inequalities to represent real-world problems here (towards the foot of the page).

------ Note: The Information above this point will not be sent to your printer --------

Inequalities for word problems (page 1 of 2)

Name:______________________

Write an inequality to represent the situations described below and use them to help answer the questions.

Brett has a $30 online gift voucher. He plans to buy as many books as he can. The cost of each book is $4. There is also a single shipping charge of $2. How many books can he afford without spending more than his gift voucher amount?

4n + 2 ≤ 30

He can afford a maximum of 7 books.

Sue and Cath have $20 left for a cab fare home. The cab fare is $3 per mile plus a $2 fixed charge. What is the maximum number of miles they will be able to travel in the cab?

3n + 2 ≤ 20

The maximum distance they can travel is 6 miles.

Bert already has $50 but needs a total of at least $250 for his holiday. He gets paid £20 per day for delivering papers. What is the least number of days he must work to get enough money for his holiday?

20n + 50 ≥ 250

He must work at least 10 days.

Jennifer is planning a holiday. The hotel costs $60 per night and her flights cost $150. She has a budget of £500 for hotel and flights. Up to how many nights can she afford in the hotel?

60n + 150 ≤ 500

She can afford up to 5 nights in the hotel.

Commission or salary: Jill has a job offer. She is offered either $50 per day or £30 per day plus a commission of $3 for every plant she sells. How many plants does she need to sell to make the commission offer the best paying option?

30 + 3n > 50

She would have to sell at least 7 plants to make the commission offer the best paying option.

--------- Page Break-------------End of Page 1

Show Answers

Inequalities for word problems (page 2 of 2)

Name:______________________

Write an inequality to represent the situations described below and use them to help answer the questions.

Lucas is offered either 15% or $21 off his total shopping bill. How much would have to be spent to make the 15% option the best one?

0.15n > 21

Lucas would need to spend more than $140 to make the 15% offer the best one.

Sid is $300 in debt. He needs to get the debt down to no more than $100 within the next 8 months. If he pays the same amount each month, what is the minimum he must pay off each month to manage this?

300 - 8n ≤ 100

He must pay a minimum of $25 each month.

Joel is looking at costs for using a gym. He could pay $50 per month for unlimited use or he could pay $12 per month plus $4 per visit. How many visits would he have to make each month to make the $50 per month unlimited use option the cheapest one?

4n + 12 > 50

He would have to go to the gym at least 10 times each month to make the unlimited use option the cheapest.

Chantelle has signed up for hockey. Her parents set a limit of $400 for costs for the season. It costs $250 to sign up plus $5 for each ice-time. What is the maximum number of ice-times that Chantelle can go to.

250 + 5n ≤ 400

The maximum number of ice times for Chantelle is 30.

Joe’s cell phone costs him $21 per month plus $3 for every 1GB of data downloaded. What is the limit to the number of GBs he can download to stay within his monthly budget of $30.

21 + 3n ≤ 30

His limit is 3GB to stay within his budget.

------ Note: The Information below this point will not be sent to your printer --------