The document contains the agenda and homework assignments for March 1st, including practice problems from the algebra textbook and daily assignments for the week. It also contains worked out examples of solving systems of linear equations applied to word problems about ticket and newsletter sales. The examples show defining variables, writing the systems of equations, solving them using elimination or substitution, and labeling the answers.

1. Agenda March 1 Homework 18 Alg book p. 365 # 1 - 8, 16 Daily Scribe Monday Tuesday Thursday Friday Quiz Wed.

9. The sum of two numbers is 60. Their difference is 14. What are the two numbers? Write a system of equations and solve by elimination. DO NOW 37 and 23 x + y = 60 x - y = 14

10. Suppose your community center sells total of 292 tickets for a basketball game. An adult ticket costs $3. A student ticket costs $1. The sponsors collect $470 in ticket sales. Write and solve a system to find the number of each type of ticket sold. St ep 1: Define your variables a = adult tickets s = student tickets St ep 2: Write your equations total tickets a + s = 292 Total sales 3a + 1s = 470 St ep 3: Solve a + s = 292 a + s = 292 -( 3a + s = 470 ) -3a - s = -470 -2a = -178 -2 -2 a = 89 St ep 4: Substitute in original equation 89 + s = 292 -89 -89 s = 203 St ep 5: Label your answer 89 adult tickets and 203 student tickets

11. Your class sells a total of 64 tickets to a play. A student ticket costs $1 and an adult ticket costs $2.50. Your class collects $109 in total ticket sales. How many adult tickets did you sell? How many student tickets did you sell? Define: Equations: Label:

12. Suppose a model airplane club publishes a newsletter. Expenses are $.90 for printing and mailing each copy, plus $600 total for research and writing. The price of the newsletter is $1.50 per copy. How many copies of the newsletter must the club sell to break even? Define: Let x = the number of copies Let y = the amount of expenses and income. Write: y = 0.9x + 600 y = 1.5x Solve: 1.5x = 0.9x + 600 0.6x = 600 x = 1000 To break even, the model airplane club must sell 1000 copies.

13. Suppose an antique car club publishes a newsletter. Expenses are $.35 for printing and mailing each copy plus $770 total for research and writing. The price of the newsletter is $.55 per copy. How many copies of the newsletter must the club sell to break even? 3850 copies

14. Suppose you have $28.00 in your bank account and start saving $18.25 every week. Your friend has $161.00 in his account and is withdrawing $15 every week. When will your account balances be the same? 4 weeks

15. A metal worker has some ingots of metal alloy that are 20% copper and others that are 60% copper. How many kilograms of each type of ingot should the metal worker combine to create 80 kg of a 52% copper alloy? Define: Let g = the mass of the 20% alloy Let h = the mass of the 60% alloy Write: g + h = 80 0.2g + 0.6h = 0.52(80) Solve for one variable: g = 80 - h Su bstitute: 0.2g + 0.6h = 0.52(80) 0.2( 80 - h ) + 0.6h = 41.6 16 - 0.2h + 0.6h = 41.6 16 + 0.4h = 41.6 0.4h = 25.6 h = 64 Substitute: g + 64 = 80 g = 16 To make 80 kg of 52% alloy, you need 16 kg of 20% copper alloy and 64 kg of 60% alloy

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