Practice CASE Algebra I - Problem Set A

Consider the equations shown. f(x) = -4x - 10 g(x) = -4x + 2 Which transformation will map f(x) onto g(x)?

Consider the sequence -3, -4.5, -6, -7.5, .... What are the next two numbers in the sequence?

Samantha is going on a trip with her friend's family. She has $$300 to take with her for food and souvenirs, but she would really like to allot at least$$ 100 for souvenirs. Samantha only needs to buy lunch and dinner each of the six days on her trip since the hotel provides breakfast, and she knows that dinners usually cost twice what lunches cost. Which inequality shows how much money Samantha can spend on each lunch (x) and dinner to stay within her budget?

Consider the linear functions and coordinate plane shown. When graphed, at what point do the linear functions intersect?

A triangle has a perimeter of 30 cm. Side y is twice as long as side x. Side z is 4 less than side x. Which equation(s) can represent the perimeter of the triangle? Select ALL that apply.

Katya is traveling by train to visit her relatives in another state. The equation y = 60x + 20 represents the total distance (y), in miles, she is from her home after x hours of traveling on the train. What does the 60 represent in the equation?

Katya is traveling by train to visit her relatives in another state. The equation y = 60x + 20 represents the total distance (y), in miles, she is from her home after x hours of traveling on the train. How many hours will it take for Katya to be 290 miles from home?

Miguel is graphing the inequality 14x + 10y < 800. He plans to plot the line first and then shade in part of the graph to represent the inequality. Which graph correctly represents the line Miguel will plot prior to shading the graph?

Which set(s) of coordinates represent(s) a function?