1. Marie needs to make $5000 during the summer. She makes $12 on every pair of earings she sells and $20 on every necklace. Write an equation and then graph and shade in the solution set.
2. Jose is buying hot dogs and hamburgers for a party. Hamburgers are $7 a pound and Hot Dogs are $5 a pound. He only has $100 to spend. Write an equation and then graph the solution set.
3. The boys and girls' basketball teams are both raising money to buy new uniforms. The girls are selling candles, which they make $3.00 on every one they sell and the boys are selling candy, which they make $1.50 on every one they sell. Together they need to raise $1000. Write the equation and graph the solution set.
4. You are a farmer and have $350,000 to spend on farm equipment. The hay bailers cost $6500 each and the plowing disks cost $2500 each. Write and graph an inequality that models the different numbers of hay bailers and plowing disks that could be purchased.
5. You and your family attend your brother’s championship baseball game. Between innings you decide to go to the snack stand. You go to the snack stand with $15 and find that sodas are $2.50 and that popcorn is $1.75. Write and graph an inequality that models the numbers of sodas and bags of popcorn that can be bought.
6. The area of a square must be less than 20 square inches. Write and graph an inquality of all solutions for the possibilities of the length and the width.
7. The class size can be at most 30 students. Write and graph an inequality for the number of boys and the number of girls in the room.
8. A music store is selling posters and CDs. Each poster gives a profit of $3.00 and each CD gives a profit of $5.00. The store needs to make an average profit of $200 per hour to stay in business. Let x represent the numbers of posters sold and y represent the number of CDs sold. Write and graph an inequality showing how many of each item the store needs to sell per hour to make a sufficient profit.