Writing Two-Step Inequality Word Problems – Flashcards

A river is 35.5 feet deep and rising at a rate of 0.375 feet per hour. Flooding can be avoided if the river depth remains less than 39 feet. For how many hours can the river continue to rise without causing a flood? Let h = # of HOURS for which river has been rising.

Sean weighs 200 pounds. He hopes to lose 0.5 pound per week by giving up processed foods and soda pop. He plans to follow this plan until his weight drops below 185 pounds. If all goes according to plan, how many weeks will he have to follow this eating plan? Let w = # of WEEKS following eating plan.

Mike wants to rent a car for his vacation. The rental costs $125 a week plus $0.15 per mile. How far to the nearest mile can Mike drive if he wants to spend at most $200? Let m = # of MILES Mike can afford to drive.

There were 22 inches of snow on the ground when a storm ended. The warm days that followed melted about 2.5 inches of snow per day. The snow is now less than 5 inches deep. How many days have gone by since the storm ended? Let d = # of DAYS since storm ended.

Martha wants to rent a car for a week and to pay no more than $130. The rental costs $94 a week plus $0.12 per mile. How many miles can she afford to drive? Let m = # of MILES she can afford to drive.

Keith weighs 190 pounds. He wants to gradually add muscle to his frame and get his weight up over 200 pounds by next fall. If he lifts weights and gains an average of 0.2 pounds per week, how many weeks will it take him to reach his goal? Let w = # of WEEKS gone by.

When a Governor and Congressman ran for the same political office, more than 121,000 votes were cast on election day. The Governor received 3000 votes more than three times as many as the Congressman. How many votes did the Congressman receive? (CHALLENGE QUESTION) Let c = # of votes Congressman received.