1. Splash Screen

2. Lesson 9-1 Multiplying and Dividing Rational Expressions
Lesson 9-2 Adding and Subtracting Rational Expressions
Lesson 9-3 Graphing Rational Functions
Lesson 9-4 Direct, Joint, and Inverse Variation
Lesson 9-5 Classes of Functions
Lesson 9-6 Solving Rational Equations and Inequalities
Contents

3. Example 1 LCM of Monomials Example 2 LCM of Polynomials
Example 3 Monomial Denominators
Example 4 Polynomial Denominators
Example 5 Simplify Complex Fractions
Example 6 Use a Complex Fraction to Solve a Problem
Lesson 2 Contents

4. Find the LCM of 15a2bc3, 16b5c2, and 20a3c6.
Factor the first monomial.
Factor the second monomial.
Factor the third monomial.
Example 2-1a

5. Use each factor the greatest number of times it appears as a factor and simplify.
Answer:
Example 2-1b

6. Find the LCM of 6x2zy3, 9x3y2z2, and 4x2z.
Answer: 36x3y3z2
Example 2-1c

7. Find the LCM of x3 – x2 – 2x and x2 – 4x + 4.
Factor the first polynomial.
Factor the second polynomial.
Answer:
Use each factor the greatest number of times it appears as a factor.
Example 2-2a

8. Find the LCM of x3 + 2x2 – 3x and x2 + 6x + 9.
Answer:
Example 2-2b

9. Simplify each numerator and denominator.
The LCD is 42a2b2. Find equivalent fractions that have this denominator.
Simplify each numerator and denominator.
Add the numerators.
Answer:
Example 2-3a

10. Simplify
Answer:
Example 2-3b

11. Factor the denominators.
Simplify
Factor the denominators.
The LCD is 6(x – 5).
Subtract the numerators.
Example 2-4a

12. Distributive Property
Combine like terms.
Simplify. 1
Simplify.
Answer:
Example 2-4b

13. Simplify
Answer:
Example 2-4c

14. The LCD of the numerator is ab. The LCD of the denominator is b.
Simplify
The LCD of the numerator is ab. The LCD of the denominator is b.
Example 2-5a

15. Simplify the numerator and denominator.
Write as a division expression.
Multiply by the reciprocal of the divisor. 1
Example 2-5b

16. Simplify.
Answer:
Example 2-5c

17. Simplify
Answer:
Example 2-5d

18. Coordinate Geometry Find the slope of the line that passes through and
Definition of slope
Example 2-6a

19. The LCD of the numerator is 3k. The LCD of the denominator is 2k.
Write as a division expression.
Simplify.
Answer: The slope is
Example 2-6b

20. Coordinate Geometry Find the slope of the line that passes through and
Answer:
Example 2-6c

21. End of Lesson 2

22. Click the mouse button or press the Space Bar to display the answers.
Transparency 1

23. Transparency 1a

24. Click the mouse button or press the Space Bar to display the answers.
Transparency 2

25. Transparency 2a

26. Click the mouse button or press the Space Bar to display the answers.
Transparency 3

27. Transparency 3a