Please pick 4 problems to complete by Friday. You must complete parts A, B, and C. If you need graph paper, then see me before or after class.

**Linear Inequalities and Systems of Linear Inequalities Word Problems**

**1.**Suppose your class is raising money for the Red Cross. You make $5 on each basket 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?

a. Write a linear inequality that describes the situation.

b. Graph the inequality.

c. Write two possible solutions to the problem.

**2**. 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?

a. Write a linear inequality that describes the situation.

b. Graph the inequality.

c. Write two possible solutions to the problem.

**3.**Suppose that for your exercise program, you either walk 5 mi/d or ride your bicycle 10 mi/d. How many days will it take

you to cover a distance of at least 150 mi?

a. Write a linear inequality that describes the situation.

b. Graph the inequality.

c. Write two possible solutions to the problem.

**4**. In basketball you score 2 points for a field goal and 1 point for a free throw. Suppose that you have scored at least 3 points

in 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?

a. Write a system of two inequalities that describes this situation.

b. Graph the system to show all possible solutions.

c. Write one possible solution to the problem.

**5.**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?

a. Write a system of two inequalities that describes this situation.

b. Graph the system to show all possible solutions.

c. Write one possible solution to the problem.

**6.**A grandmother wants to spend at least $40 but no more than $60 on school clothes for her grandson.T‐shirts sell for $10

and pants sell for $20. How many T‐shirts and pants could she buy?

a. Write a system of two inequalities that describes this situation.

b. Graph the system to show all possible solutions.

c. Write two possible solutions to the problem.

**7.**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 on two‐point shots and free throws one‐point. In each game he has made at

least four shots, including free throws. Also, he has scored less than 27 points in each game. a. Write a system of two inequalities that describes this situation.

b. Graph the system to show all possible solutions.

c. Write two possible solutions to the problem.