Exam 6: Reducing Rational Expressions to Lowest Terms

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.

Multiply the expressions.

Reduce the following rational expression to lowest terms, if possible.

Reduce the following rational expression to lowest terms.

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

A map is drawn so that every 3.5 inches on the map corresponds to an actual distance of 100 miles. If the actual distance between the two cities is 540 miles, how far apart are they on the map? __________ inches

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. a = __________

Simplify the complex fraction.

Perform the indicated operation.

Perform the indicated operation.

A Ferris wheel called Colossus was built in St. Louis in 1986. It has a circumference of 518 feet. If one trip around the wheel takes 40 seconds, find the average speed of a rider on this wheel in miles per hour.

Simplify the complex fraction.

Simplify the complex fraction.

The sum of a number and its reciprocal is . Find the number.

Complete the following table.

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 expression to lowest terms, if possible.

Simplify the complex fraction.

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.

Solve the following proportion.