# Undefined Rational Expressions and Simplifying Expressions

1.Find the values (if any exist) that make the rational expression undefined.

_____y(squared) + y + 1____

16y(squared)-9

2. Write the given rational expression with the indicated denominator.

__4x___ = _______?________

x+9 x(squared) +14x +45

3. Simplify:

x (squared) + 0x -64 divided by 8-x

4. Perform the indicated multiplication and simplify:

_____x-y_______ . _____x(squared)_____

x(squared) + xy x(squared)-y(squared)

5. Perform the indicated division and simplify:

____3y(squared)- 19y- 14___ รท _____3y (squared) - y- 2_____

9y(squared)- 3y- 2 3y(squared) +19y-14

6. Perform the indicated operations.

_________2 _____ - __________1___________

x(squared)-16y(squared) x(squared) -3xy-4y(squared)

7. Perform the indicated operation and give the answer in simplified form.

_x-3_ - _x+3_

_x+3________ x-3_____

_x-3_ + _x+3_

x+3 x-3

8. Perform the indicated division.

12x(6th power) y(4th power)+12x(3rd power)y(squared)+10x(squared) y divided by 2x(squared) y(squared)

9. Solve the given equation by using the cross products property of proportions.

___5____ = ___4___

-5q-1 -3q+9

10. An automobile travels 225 miles in the same time in which a small plane travels 650 miles. Find their speeds if the airplane is 85 mi/hr faster than the automobile. (Points: 10)

A. automobile 55 mi/hr; plane 140 mi/hr

B. automobile 45 mi/hr; plane 130 mi/hr

C. automobile 40 mi/hr; plane 125 mi/hr

D. automobile 50 mi/hr; plane 135 mi/hr

#### Solution Summary

Undefined rational expressions are investigated and expressions are simplified.