Exam 7: Rational Expressions

Solve the following equation. Be sure to check each answer in the original equation if you multiply both sides by an expression that contains the variable.

Reduce the following rational expressions to lowest terms.

Reduce the following rational expression to lowest terms.

Solve the following proportion.

If varies inversely with and if when find when is 4.

Solve the following equation. Be sure to check each answer in the original equation if you multiply both sides by an expression that contains the variable. x = __________

A jogger covers a distance of 1 mile in 40 minutes. Find the average speed of the jogger in miles per hour. Give the answer to one decimal place, if necessary. __________ miles per hour

A bathtub can be filled by the cold water faucet in 15 minutes and by the hot water faucet in 18 minutes. How long does it take to fill the tub if both faucets are open?

Simplify the complex fraction.

If varies directly with and if when find when is 5.

Simplify inside the parentheses first, then multiply.

Simplify the complex fraction.

The volume of a gas varies directly as the temperature . If when find when is 480. = __________

The scale on a map indicates that 1 inch on the map corresponds to an actual distance of 115 miles. Two cities are 7.5 inches apart on the map. What is the actual distance between the two cities? __________ miles

Perform the indicated operation. Reduce your answer to lowest terms.

The sum of the reciprocals of two consecutive integers is . Find the two integers.

Solve the following proportion.

Solve the following proportion.

Perform the indicated operation.

The resistance in an electric circuit varies directly with the voltage . If when find when = __________