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Notes 2.2 10/10/12 & 10/11/12
1.) Carlos is investigating the cost of two cell phone plans. Plan A charges $12 for the monthly service fee plus $0.05 per minute. Plan B charges $10 for the monthly service fee plus $0.06 per minute. Which system of equations can be used to represent the cost, C, of the cell phone plans? [A] [B] C = 12m + 0.05 C = 12m + 0.05m C= 10m + 0.06 C = 10m + 0.06m [C] C= 12 + 0.05m C= 10 + 0.06m
2.) Nick has 12 coins in nickels and quarters in his pocket. He has $1.60 in his pocket. Which system of equations can be used to determine the number of nickels, n, and the number of quarters, q, in his pocket? [A] [B] 1.60 = 0.05n + 0.25q5n + 25q = 1.6 n + q = 12 n + q = 12 [C] 12nq = 1.60 1.60 = 0.05n + 0.25q
3.) A rectangular dog pen has a perimeter of 160 feet. The length of the pen is 10 less than twice the width. Which system of equations can be used to represent the dog pen dimensions and perimeter? [A] [B] 2l + 2w = 160 2l + 2w = 160 l = 10 – 2w l = 2w – 10 [C] l + w = 160 l = 2 – 2w
4.) Beatrice and Javier are selling candy bars to raise money for their trip. Beatrice sold 8 more candy bars than Javier. Together they sold 124 candy bars. Which system of equations can be used to represent the situation? [A] [B] b = 8j b = j + 8 b + j = 124 b + j = 124 [C] b = 8 + j b + 8 + j = 124
5.) The baseball team is selling tacos, t, for $1.25 and hamburgers, h, for $2.00 to raise money for their trip to the state championship. They sold half as many hamburgers as tacos. At the end of the day they had sold $225 worth of food. Which system of equations can be used to represent the situation? [A] [B] 1.25h + 2t = 225 1.25t + 2h = 225 h = ½t h = ½t [C] 1.25h + 2t = 225 t = ½h