(06.03) Solve the following system of equations and show all work. y = −x2 + 4y = 2x + 1

(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.

(07.01) What is the 23rd term of the arithmetic sequence where a1 = 8 and a9 = 48?

(05.02 MC) The function f(x) = 16(2)x represents the growth of a bee population every year in a remote swamp. Jennifer wants to manipulate the formula to an equivalent form that calculates two times a year, not just once a year. Which function is correct for Jennifer’s purpose, and what is the new growth rate?

(07.02) Victoria has $200 of her birthday gift money saved at home, and the amount is modeled by the function h(x) = 200. She reads about a bank that has savings accounts that accrue interest according to the function s(x) = (1.05)x−1. Explain how Victoria can combine the two functions to model the total amount of money she will have in her bank account as interest accrues after she deposits her $200. Justify your reasoning.

(07.02) Christina has $103 earned from babysitting saved at home, and the amount is modeled by the function h(x) = 103. She reads about a bank that has savings accounts that accrue interest according to the function s(x) = (1.03)x−1. Explain how Christina can combine the two functions to model the total amount of money she will have in her bank account as interest accrues after she deposits her $103. Justify your reasoning.

(06.05) Betsy 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 2 3 3

(06.03) Solve the following system of equations and show all work. y = x2 + 3y = x + 5

(05.01 MC) Solve 27 = 34x + 1.

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