Exam 6: Section 2: Rational Expressions

For the given ratio, find and equivalent ratio of integers in lowest terms.

Reduce the given expression to lowest terms.

Perform the indicated operations and write your result in lowest terms.

Solve the equation. Watch for extraneous solutions.

Simplify.

Among 100 college students, 40 said they study 11 or more hours per week while the rest said they did not. What is the ratio of those students who study at least 11 hours per week to those that do not?

A large pump can fill a 78,000 gallon reservoir in 8 hours. Working together, the large pump and a smaller one can fill the reservoir in 6 hours. How long would it take the smaller pump to fill the reservoir by itself?

Cora can paddle her canoe 8 miles in the same time that Susan's motorboat covers 28 miles. If Susan's boat travels 10 mph faster than Cora's canoe, then how fast is Susan's boat?

Reduce the given expression to lowest terms.

Build the rational expression into an equivalent rational expression with the indicated denominator.

Find the indicated value for the given rational expression.

Reduce the expression to lowest terms.

Chris prepares a 10-pound mixture of cashews and peanuts. He paid $18 for the cashews and $14 for the peanuts. If cashews cost three times more than peanuts, then how many pounds of cashews did he use?

Perform the indicated operations and write your result in lowest terms.

Solve the given equation.

Solve the equation for y.

Perform the indicated operations and write your result in lowest terms.

Find the LCD for the given rational expressions, and convert each rational expression into an equivalent rational expression with the LCD as the denominator.

David hires a septic system contractor to dig trenches for his new septic tank. The cost to hire the contractor is a fixed cost of $250 plus an additional $80 per hour. Write an expression which describes the average cost of an x-hour job.

Hugo empties his piggy bank onto his kitchen table. After the coins come to rest, one-fourth of the nickels are heads up, two-thirds of the dimes are heads up, and one-half of the quarters are heads up. The figure below shows the composition of the coins that were in the piggy bank. Use the figure and the given information to determine the percentage of coins that are heads up.