Algebra 1 Final Exam Stations Station 1 Literal

Algebra 1 Final Exam Stations

Station 1: Literal Equations 1. Solve for y: ax + by = c 2. Solve for b: A = 1/2 h(b + c) 3. Solve for π: A = 2πr 2 + 2πrh

Station 2: Key Features of Functions 1. Bill spent $60 on fertilizer and weed killer for his lawn. Each pound of fertilizer cost 75 cents, and each ounce of weed killer cost $2. 50. a) Write an equation that represents this situation. b) Interpret the slope and y-intercept in the context of the situation. c) If Bill buys 10 pounds of fertilizer, how many ounces of weed killer can he buy? 2. A football is punted into the air. Its height h, in meters, after t seconds ����� is given by the equation h �� −��� �t��� �. a) Find the maximum height of the ball to one decimal place. When does the ball reach its maximum height? b) What is the y-intercept? What does it represent in the context of the problem? c) What are the x-intercepts? What do they represent in the context of the problem?

Station 3: Factoring Factor the following expressions: 1) x²- 11 x + 30 1) 6 x²- 23 x – 18 2) x³+ 6 x²- 4 x - 24

Station 4: Solving Equations Solving the following equations. Show all work: 1. 2 x 2 + 3 x = 20 2. x 2 – 31 – 2 x = -6 – 3 x 2 – 2 x 3. 8 x – 2(2 x+5) = 13 1.

Station 5: Linear Inequalities 1) Graph the inequality: y ≥ -2 x – 2 2) Write an inequality to represent the graph: a) b)

Station 6: Average Rate of Change Find the average rate of change of the given function over the from -1 to 3. a) b)

Station 7: Area & Perimeter with Polynomials 1) Write a simplified expression for the perimeter of the large rectangle. 2) Write a simplified expression for the shaded area. 3) If the area of the small rectangle is 275 in 2, what is the value of x?