1. 8.6: Solving Rational Equations
Worksheet Key
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8.6: Solving Rational Equations

2. 8.6: Solving Rational Equations
Worksheet Key
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8.6: Solving Rational Equations

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

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

5. 8.6: Solving Rational Equations
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
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8.6: Solving Rational Equations

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

21. 8.6: Solving Rational Equations
Assignment
Pg 593: 5-27 odd, all, 33
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8.6: Solving Rational Equations