Download Station 2: Key Features of Functions

Algebra 1 Final Exam Stations
Station 1: Literal Equations
1. Solve for y: ax + by = c
2. Solve for b: A = 1/2h(b + c)
3. Solve for π: A = 2πr2 + 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- 11x + 30
1) 6x²- 23x – 18
2) x³+ 6x²- 4x - 24
Station 4: Solving Equations
Solving the following equations. Show all work:
1. 2x2 + 3x = 20
2. x2 – 31 – 2x = -6 – 3x2 – 2x
3. 8x – 2(2x+5) = 13
1. 1 (48 + 24w) = 2(17 - 4w)
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Station 5: Linear Inequalities
1) Graph the inequality:
y ≥ -2x – 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 in2, what is
the value of x?