Exam 7: Rational Expressions

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

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

The tension t in a spring varies directly with the distance d the spring is stretched. If the tension is 42 pounds when the spring is stretched 2 inches, find the tension when the spring is stretched three times as far.

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.

Solve the following proportion.

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?

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.

Suppose varies directly as the square of . If when find when is . = __________

To train for the running of a triathlon, Jerri jogs 1 hour each day over the same 8-mile course. Six miles of the course is downhill, whereas the other 2 miles is on level ground. Jerri figures that she runs 3 miles per hour faster downhill than she runs on level ground. Find the rate at which Jerri runs on level ground.

If is added to twice the reciprocal of a number, the result is 2. Find the number.

Perform the indicated operation.

Suppose varies directly as the square of . If when find when is 4.

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

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.

Perform the indicated operation.

Solve the following proportion. x = __________

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

To train for the running of a triathlon, Jerri jogs 1 hour each day over the same 7-mile course. Four miles of the course is downhill, whereas the other 3 miles is on level ground. Jerri figures that she runs 2 miles per hour faster downhill than she runs on level ground. Find the rate at which Jerri runs on level ground. __________ miles per hour

Simplify the complex fraction.