(05.02 MC) Mike is working on solving the exponential equation 37x = 12; however, he is not quite sure where to start. Using complete sentences, describe to Mike how to solve this equation. Hint: Use the change of base formula: .

(08.05 LC) Byron is conducting an experiment to determine whether a new medication is effective in reducing coughing. He finds 1,200 volunteers with coughing issues and divides them into two groups. The control group does not receive any medication; the treatment group receives the medication. The patients in the treatment group show reduced signs of coughing. What can Byron conclude from this experiment?

(06.01) Three friends attended a carnival. John rode the rollercoaster twice, the bumper cars three times, and the Ferris wheel once. He used 42 tickets total. Darren rode the rollercoaster three times, the bumper cars once, and the Ferris wheel twice. He used 36 tickets. Shelley rode the rollercoaster once, the bumper cars twice, and the Ferris wheel 3 times. She used 32 tickets. Which system of equations matches the friends’ night at the carnival?

(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

(06.02) A linear function that represents the number of video games purchased at an electronics store is compared to a different linear function that represents the amount of money the store made that day. Describe the key features of the functions that are needed to determine if these lines intersect.

(07.03 LC) What are the explicit equation and domain for a geometric sequence with a first term of 3 and a second term of −9?

(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?

(06.05) Jackie 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

(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.

(06.02 MC) Given the following system of equations and its graph below, what can be determined about the slopes and y-intercepts of the system of equations? 3x − 6y = 129x − 18y = 36