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Unit 1/Lesson 2 I2/L3 Practice Quiz Name________________________ 1. Tamika pays $0.08 a minute for any daytime (7A.M.-7P.M. on weekdays) longdistance calls she makes and $0.04 a minute for night and weekend long-distance calls she makes. a. Tamika's long-distance bill B depends on the number of daytime minutes d and the number of night/weekend minutes w she uses. Write a rule expressing B as a function of d and w. b. Tamika has budgeted $10 per month for long-distance. Write an equation that represents all the combinations of daytime and night/weekend minutes she can use and have her long-distance bill be exactly $10. c. If Tamika talks for 60 minutes at night and during the weekend, how long can she talk during the day if she only has $10. d. If Tamika talks for 60 minutes during the day, how long can she talk during the night and weekend if she only has $10. e. Rewrite your equation from Part b so that it expresses w as a function of d. Then describe what the slope and y-intercept of the graph of this function would tell you. f. Find three (d, w) pairs of daytime and night/weekend minutes that are solutions to your equation in Part e. 2. Solve the system of equations by using the graphing method. -2x + 4y = 12 5x - 2y = 10 3. Solve the system of equations by using substitution. -3x + y = -5 5x – 8y = -17 4. Solve the system using the elimination method. 2x - y = 3 4x + 3y = 21 5. Use substitution or elimination to determine if the two lines below intersect. (Your answer should be one of the following: infinitely many solutions, no solution, or one solution). -3x – 3y = -18 3x + 3y = 3 6. Use substitution or elimination to determine if the two lines below intersect. (Your answer should be one of the following: infinitely many solutions, no solution, or one solution). x + 2y = 5 7. 3x + 6y = 15 Pat bought 16 pounds of nuts to have as refreshments at a party. Pat bought some peanuts and some almonds. The total cost of the nuts was $60. The peanuts cost $3 per pound and the almonds cost $5 per pound. Write a system of equations that can be used to determine how many pounds of each type of nut Pat bought. Make sure you explain what each variable represents. Then use a matrix and your calculator to solve the system.