Algebra 1 State Test Practice

Modeling with a Quadratic Function

9/15/2018

The manager of a company uses the function shown to model its profit based on the price of a product in dollars, x.

f(x) = (x - 2)(53 - x)

A.) What is the minimum price,
in dollars, to avoid a loss?

B.) What is the maximum price,
in dollars, to avoid a loss?

C.) What is the price, in dollars, that
results in the greatest profit?

Using a System of Equations

9/14/2018

A total of 300 children and adults attended a school play. There were 21 times as many children in attendance as there
were adults.

This situation is modeled by the given system of equations, where a represents the number of adults and c represents the
number of children.

c = 21a
a + c = 330

How many children attended the play?

Modeling with a Quadratic Function

Using a System of Equations

Algebra 1 State Test Practice Archives