(07.01) Arthur has decided to start saving for a new computer. His money is currently in a piggy bank at home, modeled by the function s(x) = 85. He was told that he could do the laundry for the house and his allowance would be a(x) = 10(x − 1), where x is measured in weeks. Explain to Arthur how he can create a function that combines the two, and describe any simplification that can be done.

(07.01) A new movie is released each year for 8 years to go along with a popular book series. Each movie is 5 minutes longer than the last to go along with a plot twist. The first movie is 75 minutes long. Use an arithmetic series formula to determine the total length of all 8 movies.

(06.01) Choose the graph that matches the following system of equations: 2x + y = −13x + 2y = −6

(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?

(06.05) Nellie is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?   f(x) g(x) x g(x) 1 5 2 10 3 15

(05.01 MC) Solve 8 = 22x − 1.

(07.04 MC) What is the sum of the geometric sequence 1, 3, 9, … if there are 13 terms?

(05.02 MC) The function f(x) = 4(3)x represents the growth of a dragonfly population every year in a remote swamp. Erin wants to manipulate the formula to an equivalent form that calculates four times a year, not just once a year. Which function is correct for Erin’s purpose, and what is the new growth rate?

(06.03) How can x − 2 = x + 11 be set up as a system of equations?

(06.05) Janie is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?   f(x) g(x) x g(x) 1 2 2 4 3 6