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(06.01) Three friends went to the fair. Michelle ate three hot dogs, one pretzel, and two snow cones. She spent $25. Amanda ate two hot dogs, three pretzels, and three snow cones. She spent $30. Lucas ate two hot dogs, two pretzels, and four snow cones. He spent $25. Which system of equations matches the friends’ night at the fair?

(06.05) Mary is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?   f(x) g(x) x g(x) 1 −1 2 0 3 1

(07.02) Brian has been playing a game where he can create towns and help his empire expand. Each town he has allows him to create 1.17 times as many villagers as he had in the town before. The game gave Brian 8 villagers to start with. Explain to Brian how to create an equation to predict the number of villagers in any specific town. Then show how to use your equation to solve for the number of villagers he can create to live in his 16th town.

(07.01) Given the arithmetic sequence an = 6 − 4(n + 2), what is the domain for n?

(07.02) Tommy has $350 of his graduation gift money saved at home, and the amount is modeled by the function h(x) = 350. He reads about a bank that has savings accounts that accrue interest according to the function s(x) = (1.04)x−1. Explain how Tommy can combine the two functions to model the total amount of money he will have in his bank account as interest accrues after he deposits his $350. Justify your reasoning.

(06.03) How can x − 5 = x + 2 be set up as a system of equations?

(07.01) Given the arithmetic sequence an = 3 + 2(n − 1), what is the domain for n?

(07.02) Given the geometric sequence where a1 = 3 and the common ratio is −1, what is the domain for n?

(07.05) The sequence an = (2)n − 1 is graphed below: Find the average rate of change between n = 2 and n = 4.

(06.01) Choose the graph that matches the following system of equations: 4x + y = −13x + 2y = 8