Math 2 SYSTEM of INEQUALITIES WORD PROBLEMS

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Sheila Heath
9 years ago
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1 1. You can work at most 20 hours next week. You need to earn at least $92 to cover you weekly expenses. Your dog- walking job pays $7.50 per hour and your job as a car wash attendant pays $6 per hour. Write a system of linear inequalities to model the situation. 2. Marsha is buying plants and soil for her garden. The soil cost $4 per bag, and the plants cost $10 each. She wants to buy at least 5 plants and can spend no more than $100. Write a system of linear inequalities to model the situation.

2 1. Jonah is going to the store to buy candles. Small candles cost $3.50 and large candles cost $5.00. He needs to buy at least 20 candles, and he cannot spend more than $80. Write a system of linear inequalities that represent the situation. 2. John is packing books into boxes. Each box can hold either 15 small books or 8 large books. He needs to pack at least 35 boxes and at least 350 books. Write a system of linear inequalities to represent the situation.

3 1. During a family trip, you share the driving with your dad. At most, you are allowed to drive for three hours. While driving, your maximum speed is 55 miles per hour. a) Write a system of inequalities describing the possible numbers of hours t and distance d you may have to drive. b) Is it possible for you to have driven 160 miles? 2. You can work a total of no more then 41 hours each week at your two jobs. Housecleaning pays $5 per hour and your sales job pays $8 per hour. You need to earn at least $254 each week to pay your bills. Write a system of inequalities that shows the various numbers of hours you can work at each job.

4 1. Fuel x costs $2 per gallon and fuel y costs $3 per gallon. You have at most $18 to spend on fuel. Write and graph a system of linear inequalities to represent this situation. 2. A salad contains ham and chicken. There are at most 6 pounds of ham and chicken in the salad. Write and graph a system of inequalities to represent this situation.

5 1. Mary babysits for $4 per hour. She also works as a tutor for $7 per hour. She is only allowed to work 13 hours per week. She wants to make at least $65. Write and graph a system of inequalities to represent this situation. 2.Suppose your class is raising money for the Red Cross. You make $5 on each baske t of fruit and $3 on each box of cheese that you sell. How many items of each type must you sell to raise more than $150?

6 1.Suppose you intend to spend no more than $60 buying books. Hardback books cost $12 and paperbacks cost $5. How many books of each type can you buy? 2.Suppose that for your exercise program, you either walk 5 mi/d or ride your bicyc le 10 mi/d. How many days will it take you to cover a distance of at least 150 mi?

7 1.In basketball you score 2 points for a field goal and 1 point for a free throw. Supp ose that you have scored at least 3 pointsin every game this season, and have a season high score of 15 points in one game. How many field goals and free throws could you have made in any one game? 2.Suppose you need to use at least $1.00 worth of stamps to mail a package. You have as many $.03 stamps as you need but only four $.32 stamps. How many of each stamp can you use?

8 1.A grandmother wants to spend at least $40 but no more than $60 on school cloth es for her grandson.t shirts sell for $10 and pants sell for $20. How many T shirts and pants could she buy? 2.Dwight Howard of the Orland Magic has played in 33 games this season. In those 33 games he has made no three point baskets. Therefore, all his points have come o n two point shots and free throws ሺone pointሺ.in each game he has made at least f our shots, including free throws. Also, he has scored less than 27 points in each game. Graph the system of inequalities to show all possible solutions.

Name: Class: Date: ID: A

Name: Class: Date: ID: A Class: Date: Slope Word Problems 1. The cost of a school banquet is $95 plus $15 for each person attending. Write an equation that gives total cost as a function of the number of people attending. What