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Dive into the world of rational expressions with this guided lesson focusing on multiplication and division. Explore foundational concepts such as multiplicative inverses, polynomials, and how to calculate products and quotients of rational expressions through practical examples. Key exercises will help reinforce your learning, including modeling advertising expenditures over time. Whether you're a student looking to improve your math skills or simply curious about rational expressions, this resource provides the clarity and practice needed to excel in this essential area of mathematics.

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Quote of the Day

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  1. Quote of the Day Great spirits have always found violent opposition from mediocrities. The latter cannot understand it when a man does not thoughtlessly submit to hereditary prejudices but honestly and courageously uses his intelligence. -Albert Einstein

  2. Multiply and Divide Rational Expressions Section 12.5

  3. Objectives: • Multiply and divide rational expressions

  4. Key Vocabulary: • Multiplicative inverse • Polynomial • Rational expression

  5. Multiplying and Dividing Rational Expressions

  6. Example 1: Find the product.

  7. #1: Find the product.

  8. #2: Find the product.

  9. Example 2: Find the product.

  10. Example 3: Find the product.

  11. #3: Find the product.

  12. #4: Find the product.

  13. Example 4: Find the quotient.

  14. Example 5: Find the quotient.

  15. #5: Find the quotient.

  16. #6: Find the quotient.

  17. Example 6: The amount A (in millions of dollars) spent on all advertising and the amount T(in millions of dollars) spent on television and advertising in the United States during the period 1970-2003 can be modeled by where x is the number of years since 1970. Write a models that gives the percent p (in decimal form) of the amount spent on all advertising that was spent on television advertising. Then approximate the percent spent on television advertising in 2003.

  18. Partner Work Page 806 #6, 12, 18, 23

  19. Homework Assignment Page 806 #4, 8, 10, 14, 16, 20, 22, 24, 26 34, 40, 42, 44, 46, 48, 50, 52

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