Lesson 9.4 - Operations with Rational Expressions

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Lesson 9.4 - Operations with Rational Expressions

• Algebra II - Santowski

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Lesson Objectives

• 1. Review basic rules for adding, subtracting,
  multiplying, dividing fractions
• 2. Add, subtract, multiply and divide rational
  expressions

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(A) Review of Multiplying

• recall how to divide and multiply rational
  numbers - fractions
• ex. - multiply the numerator and
  then multiply the denominator ?
• ? OR look to cancel COMMON FACTORS between the
  numerator and denominators prior to multiplying
• ?

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(A) Review of Dividing

• ex.
• - multiply by the reciprocal
• Then as before
• or

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(B) Example

• the same strategy that was introduced in previous
  work with rational expressions will be employed
  again - we must try to factor the expressions in
  the numerator and denominator
• Example Simplify

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(B) Example

• Example Simplify

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(B) Example

• Simplify

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(B) Example

• Simplify

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(B) Example

• Simplify

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(B) Example

• Simplify

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(B) Example

• Simplify

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(B) Example

• Simplify

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(C) Internet Links

• College Algebra Tutorial on Multiplying and
  Dividing Rational Expressions from West Texas AM
• Multiplying Dividing Rationals Lesson - I from
  Purple Math

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(D) Adding Subtacting Fractions

• To add and subtract fractions
• find a common denominator
• convert fractions to equivalent fractions
  operate

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(E) Examples

• Simplify and state restrictions

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(E) Examples

• Simplify and state restrictions

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(E) Examples

• Simplify and state restrictions

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(E) Examples

• Simplify and state restrictions

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(E) Examples

• Simplify and state restrictions

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(E) Examples

• Simplify and state restrictions

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(E) Examples

• Simplify and state restrictions

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(E) Examples

• Simplify and state restrictions

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(E) Examples

• Simplify and state restrictions

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(E) Examples

• Simplify and state restrictions

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(E) Examples

• Simplify and state restrictions

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(E) Examples

• Simplify and state restrictions

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(F) Internet Links

• Adding and Subtracting Rational Expressions from
  West Texas AM
• Adding Subtracting Rationals Lesson - I from
  Purple Math

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(G) Homework

• Textbook, page 501, Q11-18, 27-32
• Textbook, page 508, Q31-40, 44-45