Algebra 2 Companion Book, Volume 1

2.1.5 Linear Inequalities in Two Variables − Practice

2. Write an inequality to represent the graph.

1. Write an inequality to represent the graph.

3. Use intercepts to graph 5 x − 3 y ≤ 15.

4.  Solve the inequality for y and then graph the solution.

y 3

< − x 2

6. Calvin owns a toy store. He can spend at most $200 on restocking cars and dolls. A doll costs $6.50, and a car costs $8.00. Let x represent the number of cars, and let y represent the number of dolls. Identify an inequality for the number of toys he can buy. Then find the number of dolls Calvin can buy if he buys 10 cars.

5. Harry is organizing a picnic. He can spend at most $24.00 on beverages. Iced tea costs $2.00 per gallon and lemonade costs $2.50 per gallon. Let x represent the number of gallons of iced tea and y represent the number of gallons of lemonade. Identify an inequalty for the number of gallons of each drink that he can buy. Find the number of gallons of iced tea that Harry can buy if he buys 5 gallons of lemonade.

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