Name: ______Block: ______

Homework: Using Inequalities to Solve Word Problems

Directions: Write a proportion, equation, or inequality to help you solve each of the questions below. Then, find a solution. SHOW ALL OF YOUR WORK!

1. You are making sandwiches for a charity event. You have already made 53 sandwiches. If you are able to make 3 sandwiches per minute, how much longer will you need to make at least 200 sandwiches? Represent your answer both algebraically and graphically.

2. Find x if the area of the triangle below can be be at most 44 square centimeters. Hint: A =

8 cm

(x + 1) cm

3. The sum of 5x and 2x is greater than the difference of 9x and 4. Find the possible values for x.

4. A CRJ200 airplane is flying 925 miles from Charleston, South Carolina to Houston, Texas. The Plane has already flown 301 miles and it is currently flying a rate of 480 miles per hour. If the plane is able to maintain this rate, how long will it take the plane to complete its 925 mile journey?

5. You need to have at least $100 in your checking account to avoid a low balance fee. You have $247 in your account now and you make withdrawals of $20 per week. What are the possible number of weeks that you can withdraw money and avoid paying the fee? Name: ______Block: ______

6. Lester is trying to decide what he wants to pack in his lunches this week. He is considering purchasing yogurt. He has a coupon that will save him twelve cents on each yogurt he buys, provided that he buys eight yogurts. Lester is unwilling to spend more than $10 on yogurt. What must the regular price of a yogurt be for Lester to make this purchase?

7. Susan bought a three pound bag of apples at the farmers market for $3.48. At this rate, how much should an eight pound bag cost?

8. You are running a 10 mile race. You run the first 3 miles in 24.7 minutes. Your goal is to finish the race in less than 1 hour and 20 minutes. What should your average running time (in minutes per mile) be for the remaining miles?

9. Trisha regularly attends yoga class at her local gym on Monday evenings. The annual membership fee is only $30, but the gym charges her $7 per yoga class. The gym in the next town over, Family Fitness, charges a $95 annual membership fee, but they only charge $3 per yoga class. How many yoga classes would Trisha need to attend to make it worthwhile for her to switch to Family Fitness?

10. Write your own inequality word problem. Try to be as CREATIVE as possible! Be sure to include an answer. DO NOT SKIP THIS QUESTION – you may be asked to hand it in!