Share
Explore BrainMass

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 Preview

Please see the attached file for the complete solution.
Thanks for using BrainMass.

1. To make the rational ...

Solution Summary

Undefined rational expressions are investigated and expressions are simplified.

$2.19