Unit 5 TEST: Rational Functions Answers

Lupe can ride her bike at a rate of 20 mph when there is no wind. On one particular day, she rode 2 miles against the wind and noticed that it took her the same amount of time as it did to ride 3 miles with the wind. How fast was the wind blowing that day?

For which rational expression is –5 an excluded value of x?

A chemist has 500 mL of a 30% acid solution. She adds x milliliters of a 10% acid solution. Which statement is true about the graph of the function that represents the concentration of the final solution?

Mrs. Cho wrote the following problem on the board.Problem: Step 1: Step 2: Step 3: What should Mrs. Cho do next?

Which expression is equivalent to the following complex fraction?

Riley makes a mistake in step 2 while doing her homework. What was her mistake? Step 1: Step 2: Step 3: Step 4:

Which expression is equivalent to the following complex fraction?

A rational expression simplifies to 3. The denominator of the original expression is given. Which polynomial is the numerator?

What are the excluded values of x for ?

The excluded values of a rational expression are –3, 0, and 8. Which of the following could be this expression?

What is the product?

Using V = lwh, what is an expression for the volume of the following rectangular prism?

The table below shows how the number of hours needed to fill a pool depends on the flow rate of the hoses used to fill it.Flow rate, x(gal/hr)Time, y(hours)60300454003650030600How long will it take to fill the pool if two hoses are used, one that fills at a rate of 40 gallons per hour and one that fills at a rate of 60 gallons per hour?

What is the solution to the equation ?

Naomi wants to take yoga classes. She can take classes at the high school for a one-time fee of $20 plus $10 per class. She can join the local gym for $50 and take classes for $5 per class. Which statement is true about the average cost for the two options?

Haji rows his canoe 10 mph in still water. He noticed one day that he could row 4 miles upstream in the same amount of time he could row 6 miles downstream. What was the approximate speed of the current that day?

Which solution to the equation is extraneous?

For the inverse variation equation , what is the value of p when V = ?

For what values of a and m does f(x) have a horizontal asymptote at y = 2 and a vertical asymptote at x = 1?

Which statement is true about the discontinuities of the function f(x)?