Exam 6: Reducing Rational Expressions to Lowest Terms

Solve the following proportion.

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 = __________

Write the ratio as a fraction in lowest terms. to

A basketball player makes 6 of 9 free throws in the first game of the season. If she shoots with the same accuracy in the second game, how many of the 15 free throws she attempts will she make? __________ free throws made

The following problem involves some factoring by grouping. Remember, before you can divide out factors common to the numerator and denominator of a product, you must factor completely.

Perform the indicated operation. Reduce your answer 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.

One plane can travel 30 miles per hour faster than another. One of them goes 300 miles in the same time it takes the other to go 255 miles. What are their speeds?

A water tank can be filled in 27 hours by an inlet pipe and emptied in 36 hours by an outlet pipe. How long will it take to fill the tank if both pipes are left open? __________ hours

Write the ratio as a fraction in lowest terms. to

Solve the following equation. If impossible, answer no solution . Be sure to check each answer in the original equation if you multiply both sides by an expression that contains the variable. x = __________

Simplify the complex fraction.

Simplify the complex fraction.

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

Complete the following table.

Reduce the following rational expression to lowest terms, if possible. Also, specify any restrictions on the variable.

A boat travels 28 miles up the river in the same amount of time it takes to travel 52 miles down the same river. If the current is 3 miles per hour, what is the speed of the boat in still water? d r t Upstream Downstream __________ miles per hour

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

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. x = __________