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Algebra II Test #2 Review Sheet Name: ____ 1. A food store makes a 11-lb mixture of barley, flakes, and nuts. The cost of barley is $1.50 per pound, flakes cost $1.00 per pound, and nuts cost $1.00 per pound. The mixture calls for twice as much barley as flakes. The total cost of the mixture is $14.00. How much of each ingredient did the store use? a. 7 lb barley, 1 lb flakes, 3 lb nuts b. 3 lb barley, 6 lb flakes, 2 lb nuts c. 7 lb barley, 3 lb flakes, 1 lb nuts d. 6 lb barley, 3 lb flakes, 2 lb nuts ____ 2. Solve the system of equations. ____ 3. Solve the system of equations. ____ 4. Solve the system by graphing. Be able to graph and find the intersection without a multiple choice option to choose from! ____ 5. Solve the system by graphing. ____ 6. A rental car agency charges a flat fee of $150.00 plus $44.00 per day to rent a certain car. Another agency charges a fee of $108.00 plus $51.00 per day to rent the same car. Using a graphing calculator, find the number of days for which the costs are the same. Round your answer to the nearest whole day. ___ 7. Solve the system of inequalities by graphing. Algebra II 8. Test #2 Review Sheet Name: Solve the system of inequalities by graphing. Be able to graph and find the intersection without a multiple choice option to choose from! ____ 9. Solve the system of inequalities by graphing. ____ 10. Solve the system. ____ 11. Solve the system. ____ 12. Is the system independent, dependent, or inconsistent? a. inconsistent b. dependent c. independent ____ 13. A group of 39 people attended a ball game. There were twice as many children as adults in the group. Set up a system of equations that represents the numbers of adults and children who attended the game and solve the system to find the number of adults and the number of children who were in the group. a. c. ; 26 adults, 13 children b. ; 13 adults, 26 children d. ; 19 adults; 26 children ; 26 adults; 19 children Algebra II Test #2 Review Sheet Name: ____ 14. A candy store makes a 14-lb mixture of gummy bears, jelly beans, and gobstoppers. The cost of gummy bears is $2.00 per pound, jelly beans cost $1.00 per pound, and gobstoppers cost $1.00 per pound. The mixture calls for three times as many gummy bears as jelly beans. The total cost of the mixture is $23.00. How much of each ingredient did the store use? a. 10 lb gummy bears, 1 lb jelly beans, 3 lb gobstoppers b. 9 lb gummy bears, 3 lb jelly beans, 2 lb gobstoppers c. 10 lb gummy bears, 3 lb jelly beans, 1 lb gobstoppers d. 3 lb gummy bears, 9 lb jelly beans, 2 lb gobstoppers ____ 15. Solve the system. ____ 16. Solve the system. ____ 17. Solve the system of inequalities by graphing. ____ 18. Solve the system by substitution. ____ 19. Solve the system using elimination. Show your work for this one! Highlight final answer. Mixed Review: 20. Graph : 21. Solve : Show your work for this one! Highlight final answer. Algebra II Test #2 Review Sheet Answer Key: 1. 2. 3. 4. D (–6, 0, 7) No solution (-1, 2) 10. 11. 12. 13. 14. 15. 16. 17. y 4 2 –4 O –2 2 4 Name: 10. (3, 1, –1) 11. (–7, 9, –5) 12. Independent 13. C 14. B 15. No Solution 16. Infinitely many solutions y 17. Graph: x 4 –2 –4 5. 2 –4 (0,-2) y –2 O –2 4 –4 2 –4 –2 O 2 4 x 18. 19. 20. –2 –4 21. 6. 7. 8. 6 C Graph: y 6 4 2 –6 –4 –2 O –2 2 4 6 x –4 –6 9. Graph: y 4 2 –4 –2 O –2 –4 2 4 x 18. (-2, -3) 19. (3, -1) 20. Graph 21. x ≥ 17/2 or x ≤ 3/2 2 4 x