Translating and Solving 2-Step Inequalities Part 1

Name: ______Period: ______

Translating and Solving 2-step Inequalities – Part 1

Solve; then, Graph.

1. The quotient of a number and 15 is no greater than 450. What are the possible values for the number? Graph them on the number line below.

1. Keith and Michelle went out to dinner. The total cost of the meal, including the tip, was at most $53.70. If the combined tip came out to $9.60, and each friend spent an equal amount, what is the most each friend paid before tip? Solve and interpret the answer to your inequality.

1. Jason is saving up to buy a digital camera that costs $490. So far, he has saved $175. He would like to buy the camera 3 weeks from now. What inequality can be used to represent how much he must save every week to have enough money to purchase the camera? Solve and interpret the answer to your inequality.

1. Adrian works in New York City and makes $42 per hour. She works in an office and must get her suit dry cleaned everyday for $25. If she wants to make more than $260 a day (after dry-cleaning the suit), at least how many hours must she work? Solve and interpret the answer to your inequality so it makes sense!

1. Your brother has $2,000 saved for a vacation. His airplane ticket is $637. Write and solve an inequality to find out how much he can spend for everything else.

1. The sum of twice a number and 5 is at most 15. What are the possible values for the number?

1. The cost of a gallon of orange juice is $3.50. What is the maximum number of containers you can buy for $15?

1. Two-thirds of a number plus 5 is greater than 12. Find the number.

Name: ______Period: ______

Translating and Solving 2-step Inequalities – Part 2

Write and solve an inequality for each situation.

1) A cold wave hit Chicago when the temperature hit 64°F. During the cold wave, the temperature dropped 4 degrees every hour. How many hours was it before the temperature was below 40°F?

2) Miranda is packing eggs in cartons. Each carton holds 12 eggs. She has already filled 3 cartons. How many more eggs does she need to fill at least 17 cartons?

3) Yiska has 56 photographs left to scan. If she can scan 6 more photographs per minute, in how many minutes will she have less than 20 left to scan?

4) Erin has a $250 gift card from a clothing store. She has spent a total of $28 so far. She wants to buy jeans for $48.95 each. How many pairs of jeans can she buy without going over the limit on her card?

5) Cynthia is buying pencils and a writing pad for her writing class. The writing pad costs $3.50 and each pencil is $0.15. She wants to spend no more than $5 in total for these items. How many pencils can she buy?

6) Michelle babysits on weekends. She charges $10 for transportation and $15 for each hour she babysits. At her last babysitting job she earned less than $60. What does the answer to this inequality mean?

7) Give 3 solutions to the inequality:

8) Nilsa is working on a 60-minute math test. There are 20 questions on the test. If it takes her 20 minutes to complete 12 of the questions, what is the greatest amount of time on average she can spend on each of the remaining 8 questions?

a) Write an inequality for the problem.

b) Graph the solution.

c) Interpret the graph in the context of the problem.

9) An athlete wants to maintain a net caloric intake of no more than 2,000 calories for the day.

a) Write and solve an inequality to determine how many hours she must train if she burns an average of 750 calories per hour and she eats a total of 8.000 calories.

b) Graph the solution to your inequality on a number line. Explain why your answer to part (a) is a solution to this situation.