(08.02 MC) Shelly believes the honor roll students at her school have an unfair advantage in being assigned to the math class they request. She asked 500 students at her school the following questions: “Are you on the honor roll?” and “Did you get the math class you requested?” The results are shown in the table below:   Honor roll Not on honor roll Total Received math class requested 125 215 340 Did not get math class requested 80 80 160 Total 205 295 500 Help Shelly determine if all students at her school have an equal opportunity to get into the math class they requested. Show your work, and explain your process for determining the fairness of the class assignment process.

(07.01) James has decided to start saving for a cruise over the summer. His money is currently in the local bank, modeled by the function s(x) = 102. He is able to do work around the neighborhood to earn extra money and that function would be a(x) = 8(x + 2), where x is measured in hours. Explain to James how he can create a function that combines the two, and describe any simplification that can be done.

(08.07 MC) Leo is testing different types of greenhouse material to determine which type is most effective for growing strawberry bushes. He purchases two different brands of tarps from a local store. Leo applies brand A to an area of the yard that receives full sunlight and brand B to another area of the yard that is in partial shade. He waters both areas daily. At the end of the study, Leo concludes brand A is more effective in growing strawberry bushes. Is Leo’s conclusion valid? Explain why or why not.

(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) Brianna went to a carnival. She played five games and rode six rides. Justin went to the same carnival and played seven games and rode eight rides. If Brianna paid $11.75 and Justin paid $16.15, how much did one game cost to play?

(06.02) A linear function that represents the number of animals adopted from the shelter is compared to a different linear function that represents the hours volunteers work at the shelter each week. Describe the key features of the functions that are needed to determine if these lines intersect.

(07.01) Given the arithmetic sequence an = 2 − 5(n + 1), what is the domain for n?

(07.02) Given the geometric sequence where a1 = 5 and the common ratio is −3, what is the domain for n?

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

(06.05) Which graph correctly solves the equation below?