LINEAR INEQUALITIES IN ONE VARIABLE WORKSHEET

Problem 1 :

Amanda rented a bike from Shawna's Bikes. They charged her $2 per hour, plus a $10 fee. Amanda paid less than $27.

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

b) Solve the inequality to find the maximum number of hours Amanda rented the bike.

Solution

Problem 2 :

You need to buy some pencils and an eraser. You can spend no more than $5. The eraser costs $1 and the pencils cost $0.25 each.

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

b) Solve the inequality to find the maximum number of pencils you can buy.

Solution

Problem 3 :

Mark's Canoes rents canoes for $20 plus $35 per hour. You do not want to spend more than $150. For how many hours can you afford to rent the canoe?

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

b) Solve the inequality and answer the question.

Solution

Problem 4 :

For a field trip 18 students rode in cars and the rest filled five buses. How many students were in each bus if no more than 250 students went on the trip?

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

b) Solve the inequality and answer the question.

Solution

Problem 5 :

Charles is saving $5 each week. He earns an extra $15 by mowing his neighbor's lawn. How many weeks will he need to save in order to have at least $75?

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

b) Solve the inequality and answer the question.

Solution