1 Name Period Score = Notes c/b 10 30 Secondary I Honors Review 7 1. Write a system of linear inequalities that is represented by the graph. 2. Tell whether the graph of each inequality would be represented with a dashed line or solid line. a. b. 3. A company produces CDs and DVDs. There is an expected demand of at least 5000 CDs and 8000 DVDs each day. A total of at most 20,000 items are produced each day. Write a system of linear inequalities to represent the constraints of this situation. Let x represent the number of CDs and y represent the number of DVDs. 4. A company prints flyers and brochures. It takes 2 minutes to print a flyer and 4 minutes to print a brochure. Each flyer uses 12 ounces of ink and each brochure uses 9 ounces of ink. The company has 2 hours available and 360 ounces of ink. The company makes a profit of $1 on each flyer and $2 on each brochure. The company cannot print a negative number of flyers or brochures. a. Let x represent the number of flyers and y represent the number of brochures. Write a system of inequalities to represent the constraints of this problem situation. b. Graph the system of inequalities. Then write and solve an equation to determine how many flyers and brochures the company should print in order to maximize their profit. 5. Tell whether the graph of each inequality would be represented with a dashed line or solid line. a. b. 6. A farmer grows corn and tomatoes. There is an expected demand of at least 2000 ears of corn and 3500 tomatoes each week. A total of more than 6000 food items must be grown each week. The farmer also wants to grow at least twice as many tomatoes as ears of corn. Write a system of linear inequalities to represents the constraints of this situation. Let x represent the number of ears of corn and y represent the number of tomatoes. 7. Jayla has 500 stickers in a collection. She wants at least y stickers in her collection at the end of the month. She buys 25 stickers each day. Write an inequality that represents this situation, where x is the number of days.
2 8. Tell whether the graph of each inequality would be represented with a dashed line or solid line. a. b. 9. Graph the solution to this system of linear inequalities. Multiple Choice 10. Marli has $1200 in her savings account. She wants at least y in her account at the end of the year. She withdraws $150 each month. Which inequality represents this situation, where x is the number of months? a. c. b. d. 11. A company produces white rice and brown rice. There is an expected demand of at least 200 pounds of white rice and 50 pounds of brown rice each day. A total of at least 300 pounds of rice must be produced each day. Which system of linear inequalities represents the constraints of this situation? Let x represent the number of pounds of white rice and y represent the number of pounds of brown rice. 12. Which is a solution to the system of linear inequalities? 13. A baker is baking cookies and brownies. It takes 12 minutes to bake a batch of cookies and 20 minutes to bake a batch of brownies. Each batch of cookies uses 1 cup of flour and each batch of brownies uses 5 cups of flour. The baker has 10 hours available and 100 cups of flour. The baker makes a profit of $8 on each batch of cookies and $10 on each batch of brownies. How many batches of cookies and brownies should the baker make in order to maximize profit? a. 0 batches of cookies and 0 batches of brownies b. 0 batches of cookies and 20 batches of brownies
3 c. 50 batches of cookies and 0 batches of brownies d. 25 batches of cookies and 15 batches of brownies 14. Which is a solution to the system of linear inequalities? 15. Which is a solution to the system of linear inequalities? 16. A principal wants to order at least 800 math books. The company has 500 math books in their warehouse. They also have 600 math books in a storage unit. It costs $3 to ship a math book from the warehouse. It costs $5 to ship a math book from the storage unit. Which system of linear inequalities represents the constraints of this situation? Let x represent the number of math books shipped from the warehouse and y represent the number of math books shipped from the storage unit. 17. Doug has 2000 baseball cards. He wants at least y baseball cards in his collection by the time he graduates. He buys 25 baseball cards each week. Which inequality represents this situation, where x is the number of weeks? 18. Which is a solution to the inequality?
4 Secondary I Honors review 7 Answer Section 1. ANS: PTS: 1 REF: 7.3 NAT: A.REI.12 A.CED.3 TOP: Pre Test 2. ANS: a. dashed line b. solid line TOP: Pre Test KEY: half-plane 3. ANS: PTS: 1 REF: 7.4 NAT: A.REI.12 A.CED.3 TOP: Pre Test KEY: linear programming 4. ANS: a. b.
5 The company can maximize their profit by printing either 12 flyers and 24 brochures or 0 flyers and 30 brochures. PTS: 1 REF: 7.4 NAT: A.REI.12 A.CED.3 TOP: Post Test KEY: linear programming 5. ANS: a. solid line b. dashed line TOP: Post Test KEY: half-plane 6. ANS: PTS: 1 REF: 7.4 NAT: A.REI.12 A.CED.3 TOP: Post Test KEY: linear programming 7. ANS: TOP: End Ch Test KEY: half-plane 8. ANS: a. dashed line
6 b. solid line TOP: End Ch Test KEY: half-plane 9. ANS: PTS: 1 REF: 7.3 NAT: A.REI.12 A.CED.3 TOP: End Ch Test 10. ANS: C KEY: half-plane 11. ANS: B PTS: 1 REF: 7.4 NAT: A.REI.12 A.CED.3 KEY: linear programming 12. ANS: D PTS: 1 REF: 7.2 NAT: A.REI.12 A.CED.3 13. ANS: C PTS: 1 REF: 7.4 NAT: A.REI.12 A.CED.3 KEY: linear programming 14. ANS: A PTS: 1 REF: 7.2 NAT: A.REI.12 A.CED.3 15. ANS: D PTS: 1 REF: 7.2 NAT: A.REI.12 A.CED.3 16. ANS: C PTS: 1 REF: 7.4 NAT: A.REI.12 A.CED.3 KEY: linear programming 17. ANS: A PTS: 1 REF: 7.2 NAT: A.REI.12 A.CED.3 18. ANS: A KEY: half-plane