Algebra 2 | Unit 2 | Lesson 20: Rational Equations (Part 1) | Practice Problems

A local office supply store charges $18 to set up their business card printing machine with the design and $0.15 in materials per business card to print. Select all equations that could represent an expression for the average cost A(x) of printing a batch of x business cards.

The school band is in charge of a new set of uniforms made with a new logo. A local business charges $140 to set up the logo with the design and $0.25 in materials per logo printed. The function C(x)=\frac{140+0.25x}{x} represents the average cost per logo if x uniforms are printed by this business. What is the average cost per uniform to get the logo printed on 25 uniforms?

The school band is in charge of a new set of uniforms made with a new logo. A local business charges $140 to set up the logo with the design and $0.25 in materials per logo printed. The function C(x)=\frac{140+0.25x}{x} represents the average cost per logo if x uniforms are printed by this business. What is the average cost per uniform to get the logo printed on 100 uniforms?

The school band is in charge of a new set of uniforms made with a new logo. A local business charges $140 to set up the logo with the design and $0.25 in materials per logo printed. The function C(x)=\frac{140+0.25x}{x} represents the average cost per logo if x uniforms are printed by this business. How many uniforms should be printed to have an average cost of $1 per logo?

The school band is in charge of a new set of uniforms made with a new logo. A local business charges $140 to set up the logo with the design and $0.25 in materials per logo printed. The function C(x)=\frac{140+0.25x}{x} represents the average cost per logo if x uniforms are printed by this business. What will happen to the price as the number of uniforms printed increases?

Two competing sports equipment suppliers sell footballs at different prices. Supplier A charges $85 in shipping, and charges $2.59 per football. Supplier B charges $50 shipping, and charges $4.29 per football. A school wants to buy 40 balls. Which supplier has the lowest average cost per ball?

• Supplier A

• Supplier B

What is one point of intersection between the graphs of the functions f(x)=(x + 6)(x+2) and g(x)=x+ 6?

• (0, 6)

• (\text-1, 5)

• (\text-2, 0)

• (\text-4,\text-4)

The graph of a polynomial f(x)=(5x-3)(x+4)(x+a) has x-intercepts at -4, \(\frac{3}{5}\), and 6. What is the value of \(a\)?

The function f(x)=\frac{3x-4}{x+6} can be rewritten in the form f(x)=3+\frac{\text-22}{x+6}. What is the end behavior of y=f(x)?