IM Alg1.6.8 Practice: Equivalent Quadratic Expressions
Draw a diagram to show that (2x+5)(x+3) is equivalent to 2x²+11x+15.
Match each quadratic expression that is written as a product with an equivalent expression that is expanded.
Select all expressions that are equivalent to .
Tyler drew a diagram to expand (x+5)(2x+3).
Explain Tyler’s mistake.
What is the correct expanded form of ?
Explain why the values of the exponential expression will eventually overtake the values of the quadratic expression .
A baseball travels meters seconds after being dropped from the top of a building. The distance traveled by the baseball can be modeled by the equation .
Which graph could represent this situation? Explain how you know.
Graph A Graph B 
Consider a function defined by . Explain why negative values are not included in the range of .
In this model, at what ticket prices will the band earn no revenue at all?
At what ticket prices should the band sell the tickets if it must earn at least 8,000 dollars in revenue to break even (to not lose money) on a given concert. Explain how you know.
A population of bears decreases exponentially.
What is the annual factor of decrease for the bear population? Explain how you know.
Using function notation, represent the relationship between the bear population, , and the number of years since the population was first measured, . That is, find a function, , so that .
Equations defining functions , , , , and are shown here. Select all the equations that represent exponential functions.