SOLVING WORD PROBLEMS INVOLVING LINEAR INEQUALITIES WORKSHEET

Problem 1 :

The Yellow Taxi Cab Co. charges a $2.75 flat rate and $.65 for each additional mile. Emma has no more than $14 to spend on a ride. How many miles can Emma ride without exceeding her spending limit ?

Solution

Problem 2 :

Tom wants to rent a truck for two days and pay no more than $300. How far can he drive the truck if the truck rental cost $49 a day plus $0.40 a mile?

A) 490     B) 505     C) 520       D) 535

Solution

Problem 3 :

Charlie has $500 in a savings account at the beginning of the summer, but withdraws $25 each week to spend on meals at Duchess (his favorite). He wants to have at least $200 in the account at the end of the summer for the start of school. How many weeks can Charlie withdraw money from the account?

Solution

Problem 4 :

The length of a rectangle is 4 cm longer than the width. The perimeter is no more than 28 cm. What are the maximum possible dimensions for the rectangle?

Solution

Problem 5 :

There are three exams given in a marking period. Ryan received an 85 and a 91 on the first two exams. What grade must he earn on the last exam in order to get an average of no less than a 90 for the marking period?

Solution

Problem 6 :

The length of a rectangle is 5 cm less than twice its width. If the perimeter of the rectangle is no more than 70 cm, what are the maximum possible dimensions?

Solution

Problme 7 :

Find two consecutive integers such that 7 times the smaller is less than 6 times the greater. What are the greatest such integers?

Solution

Problem 8 : 

The sum of two consecutive even integers is at most 400. Find the pair of integers with the greatest sum.

Solution

Problem 9 :

The length of a rectangle is 4 cm more than three times its width. If the perimeter is more than 56 cm, what are the minimum possible dimensions of the rectangle (not allowing for fractional side measures)?

Solution

Problem 10 :

The sum of three consecutive odd integers is no less than 51. What is the middle integer?

Solution