This document provides instructions and examples for solving rational equations. It explains that multiplying both sides of a rational equation by the least common denominator eliminates all fractions. Students are warned to check for extraneous solutions. Examples show solving simple rational equations by cross-multiplying when only one fraction is on each side, and using factoring and the LCD when the equation is more complex. Practice problems are included for students to try.

1. 9.6 Solving Rational Equations p.505

2. Hint for solving: A quick way to solve a rational equation is to multiply everything through by the LCD. This will get rid of all the fractions! Beware of extraneous solutions!

3. Example : Solve. LCD : 2x Multiply each fraction through by the LCD Check your solution!

4. Solve. LCD : ? LCD : (x+1) Check your solution! ? No Solution!

5. Solve. Factor 1 st ! LCD: (x+2)(x-2) Check your solutions!

6. Short Cut! When there is only fraction on each side of the =, just cross multiply as if you are solving a proportion.

7. Example : Solve. Check your solutions!

8. One more SAT Question If Which of the following is an expression for

9. Now you try! Pg 509 #’s 6-9 all