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(06.01) Three families went to the movies together. The Smiths ordered two tubs of popcorn, one plate of nachos, and three drinks. They spent $65. The Langes ordered three tubs of popcorn, two plates of nachos, and five drinks. They spent $85. The Radfords ordered one tub of popcorn, one plate of nachos, and two drinks. They spent $40. Which system of equations matches their night at the movies?

(06.04 MC) Christopher is analyzing a circle, y2 + x2 = 121, and a linear function g(x). Will they intersect? y2 + x2 = 121 g(x) x g(x) −1 14 0 12 1 10

(08.02 MC) Alex believes the honor roll students at his school have an unfair advantage in being assigned to the science class they request. He asked 500 students at his school the following questions: “Are you on the honor roll?” and “Did you get the science class you requested?” The results are shown in the table below:   Honor roll Not on honor roll Total Received science class requested 64 315 379 Did not get science class requested 80 41 121 Total 144 356 500 Help Alex determine if all students at his school have an equal opportunity to get into the science class they requested. Show your work, and explain your process for determining the fairness of the class assignment process.

(06.01) If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to y from the second equation is substituted into the first equation. 2x − 7y = 43x + y = −17

(06.05) Terri is analyzing a circle, y2 + x2 = 36, and a linear function g(x). Will they intersect?   y2 + x2 = 36 g(x) x g(x) −4 −4 −2 −2 2 2

(06.04 MC) Ross is analyzing a circle, y2 + x2 = 64, and a linear function g(x). Will they intersect? y2 + x2 = 64 g(x) x g(x) −1 −4.5 0 −4 1 −3.5

(07.03 LC) What are the explicit equation and domain for a geometric sequence with a first term of 2 and a second term of −8?

(07.01) Tamara has decided to start saving for spending money for her first year of college. Her money is currently in a large suitcase under her bed, modeled by the function s(x) = 450. She is able to babysit to earn extra money and that function would be a(x) = 6(x − 2), where x is measured in hours. Explain to Tamara how she can create a function that combines the two, and describe any simplification that can be done.

(06.01 MC) Kevin sold 2 unicycles and 1 bicycle for a total of $110. Greg sold 4 unicycles and 3 bicycles for a total cost of $268. What is the cost of 1 bicycle?

(06.04 MC) Trevor is analyzing a circle, y2 + x2 = 100, and a linear function g(x). Will they intersect? y2 + x2 = 100 g(x) x g(x) −1 −22 0 −20 1 −18