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Mastering Rational Equation Solving: Steps and Examples

Learn how to solve rational equations step by step with examples, finding common denominators, multiplying numerators, simplifying, and checking solutions. Practice problems included.

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Mastering Rational Equation Solving: Steps and Examples

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  1. Worksheet Key 8.6: Solving Rational Equations

  2. Worksheet Key 8.6: Solving Rational Equations

  3. Solving Rational Equations Section 8.6 8.6: Solving Rational Equations

  4. Review • If given, solve for x. 8.6: Solving Rational Equations

  5. Steps • Find the common multiple denominator. • Multiply the numerator with a common multiple. • Drop off the denominator when there is an x involved before the equal sign. • Solve for x. • Put equation equal to zero • Simplify and reduce • Check 8.6: Solving Rational Equations

  6. Example 1 • If given, solve for x. • Find the common multiple denominator. 8.6: Solving Rational Equations

  7. Example 1 • If given, solve for x. • Multiply the numerator with a common multiple. (x–2) (x–2) 8.6: Solving Rational Equations

  8. Example 1 • If given, solve for x. • Drop off the denominator when there is an x involved before the equal sign. 8.6: Solving Rational Equations

  9. Example 1 • If given, solve for x. • Simplify and solve for x. 8.6: Solving Rational Equations

  10. Example 2 • If given, solve for x. • Find the common multiple denominator. 8.6: Solving Rational Equations

  11. Example 2 • If given, solve for x. • Multiply the numerator with a common multiple. (3) 3 8.6: Solving Rational Equations

  12. Example 2 • If given, solve for x. • Drop off the denominator when there is an x involved before the equal sign. 8.6: Solving Rational Equations

  13. Example 2 • If given, solve for x. • Simplify and find x. 8.6: Solving Rational Equations

  14. Example 3 • If given, solve for x. 8.6: Solving Rational Equations

  15. Your Turn • If given, solve for x. 8.6: Solving Rational Equations

  16. Example 4 • If given, solve for x. 8.6: Solving Rational Equations

  17. Example 5 • If given, solve for x. 8.6: Solving Rational Equations

  18. Example 5 • If given, solve for x. 8.6: Solving Rational Equations

  19. Example 5 • If given, solve for x. • Check: 8.6: Solving Rational Equations

  20. Your Turn • If given, solve for x. 8.6: Solving Rational Equations

  21. Assignment • Pg593: 5-27 odd, 30-32 all, 33 8.6: Solving Rational Equations

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