2. Aim: Solving Rational Equations Course: Adv. Alg. & Trig. Aim: How do we solve rational equations? Do Now: Simplify:

3. Aim: Solving Rational Equations Course: Adv. Alg. & Trig. Rational Equations Solve and Check: 1. Find the LCD 6x6x 2. Multiply both sides of equation by LCD 3. Use the Distributive property: 6 4. Simplify and solve: 3x3x 2x2x

4. Aim: Solving Rational Equations Course: Adv. Alg. & Trig. Model Problem 1 Solve and Check: 1. Find the LCDx + 2 2.Multiply both sides of equation by LCD 3.Use the Distributive property: 4. Simplify and solve:

5. Aim: Solving Rational Equations Course: Adv. Alg. & Trig. 4.Simplify and solve: (con’t) Model Problem 1 (con’t) Check: ?!? There is no possible solution to this equation

6. Aim: Solving Rational Equations Course: Adv. Alg. & Trig. Literal Rational Equations Solve for x and Check: 1. Find the LCD 2a2a 2. Multiply both sides of equation by LCD 3. Use the Distributive property: 4. Simplify and solve:

7. Aim: Solving Rational Equations Course: Adv. Alg. & Trig. Verbal Rational Equations The sum of a number and its reciprocal is 5/2. Find the number. x = the number 1/x = its reciprocal LCD = 2x

8. Aim: Solving Rational Equations Course: Adv. Alg. & Trig. Verbal Rational Equations (con’t) 2x – 1 = 0x – 2 = 0 2x = 1 x = 2 Check:

9. Aim: Solving Rational Equations Course: Adv. Alg. & Trig. Model Problems 6) Let represent a fraction that is equivalent to 3/5. If 4 is subtracted from the numerator and 4 is subtracted from the denominator, the new fraction equals ½. Find the original.

10. Aim: Solving Rational Equations Course: Adv. Alg. & Trig. Model Problems

11. Aim: Solving Rational Equations Course: Adv. Alg. & Trig. Model Problems

12. Aim: Solving Rational Equations Course: Adv. Alg. & Trig. Model Problems

13. Aim: Solving Rational Equations Course: Adv. Alg. & Trig. Model Problems

14. Aim: Solving Rational Equations Course: Adv. Alg. & Trig. Model Problems

15. Aim: Solving Rational Equations Course: Adv. Alg. & Trig. Model Problems 6) Let represent a fraction that is equivalent to 3/5. If 4 is subtracted from the numerator and 4 is subtracted from the denominator, the new fraction equals ½. Find the original.