WORD PROBLEMS ON LINEAR INEQUALITIES IN ONE VARIABLE WORKSHEET

Problem 1 :

Brian wants to earn at least $20 this week to go to the fair. His father said he will pay him $9 for mowing the lawn and $2.75 an hour to weed the flower bed. Brian has decided to do both chores. What is the minimum number of hours he will need to weed to earn at least $20?

Solution

Problem 2 :

An employee earns $2 for every magazine sold and a salary of $10 a week. How many magazines will the employee need to sell in order to earn at least $40 in one week?

Solution

Problem 3 :

Juan spent $2.50 on apples and oranges. He bought 5 apples at $0.36 each. What is the most he spent on the oranges?

Solution

Problem 4 :

The cashier in a movie box office sold 200 more adult admission tickets at $11.00 each than children’s admission tickets at $8.00 each. What is the minimum number of each type of ticket that the cashier had to sell for the total receipts to be at least $5000

Solution

Problem 5 :

You must have an average score of at least 80 to get a B- on your report card. You have scores of 61, 70, 99 and 70. What is the minimum score you must get on the last test to get a B-on your report card? 

Solution

Problem 6 :

Elisa won 40 lollipops playing basketball at the school fair. She gave two to every student in her math class. She has at least 7 lollipops left.

a) Write an inequality to represent the situation. Be sure to define your variable.

b) Solve the inequality to find the maximum number of students in her class.

Solution

Problem 7 :

More than 450 students went on a field trip. Ten buses were filled and 5 more students traveled in a car.

a) Write an inequality to represent the situation. Be sure to define your variable.

b) Solve the inequality to find the minimum number of people on each bus.

Solution

Problem 8 :

Bill spent less than $26 on a magazine and five composition books. The magazine cost $4.

a) Write an inequality to represent the situation. Be sure to define your variable.

b) Solve the inequality to find the maximum cost of each composition book.

Solution