Name: ______Date: ______Period:______

Homework: Word Problems

Write an inequality and solve.

1. Sylvia needs at least $310 for a new audio system. She has already saved $120. She earns $10 per hour at her part-time job. Write and solve an inequality to determine how many hours she will need to work to buy the system. Interpret the solution.

2. You want to spend at most $12 on a carriage ride. The driver tells you there is an initial charge of $5 plus $0.50 per mile. Write and solve an inequality to determine how many miles you can ride. Interpret the solution.

3. Remington needs at least $3,000 to buy a used car. He already has $1,800. If he saves $50 per week, write and solve an inequality to determine how many weeks he must save to buy the car. Interpret the solution.

4. Sam earns $8 per hour working at the zoo. Write and solve an inequality that can be sued to determine how many hours she must work to earn at least $120. Interpret the solution.

5. Write an inequality for each statement and then solve.

A. Sixteen is less than eight times a number.

B. The product of a number and five is at most 30.

6. On Monday, 264 students went on a trip to the zoo. All 5 buses were filled and 4 students had to travel in cars. How many students were in each bus? Write and solve the equation.

7. Oceanside Bike Rental Shop charges a 18 dollar fixed fee plus 6 dollars an hour for renting a bike. Mike paid 72 dollars to rent a bike. How many hours did he pay to have the bike checked out?

8. Fred had 137 dollars to spend on 9 books. After buying them he had 11 dollars. How much did each book cost? Write and solve an equation.

9. Fred bought 7 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now 38 cards left. How many cards did Fred start with? Write and solve an equation.

10. Mrs. Jackson earned a $500 bonus for signing a one-year contract to work as a nurse. Her salary is $22 per hour. If her first week’s check including the bonus is $1,204, how many hours did Mrs. Jackson work?

11. Lacy is 3 times the age of Bob minus 5. Bob is 35. How old is Lacy? Write and solve an equation.