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Algebra 2B

Algebra 2B. Chapter 9. Lesson 9.1. Learning Targets: I can simplify Rational Expressions I can simplify complex fractions. Vocabulary. Rational Expression : It’s the ratio of two polynomial expressions Examples:

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Algebra 2B

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  1. Algebra 2B Chapter 9

  2. Lesson 9.1 Learning Targets: • I can simplify Rational Expressions • I can simplify complex fractions

  3. Vocabulary Rational Expression: It’s the ratio of two polynomial expressions • Examples: • Complex Fraction: It’s a rational expression whose • numerator and/or denominator • contains a rational expression. • Examples:

  4. Multiplying Rational Expressions: Dividing Rational Expressions: Review: How to multiply and divide monomials: How to multiply, divide and find the power of a power: How to factor polynomials:

  5. Summary of Factoring Techniques • For all polynomials, first factor out the greatest common factor (GCF). • For a binomial, check to see if it is any of the following: • difference of squares: x2 − y2 = ( x + y) ( x − y) • difference of cubes: x3 − y3 = ( x − y) ( x2 + xy + y2) • sum of cubes: x3 + y3 = ( x + y) ( x2 − xy + y2) • For a trinomial, use the T • ax2 + bx + c:

  6. Step1: Factor the numerator and denominator completely Step 2: Reduce any common factors Step 3: Simplify 2

  7. Step1: Factor the numerator and denominator completely Step 2: Reduce any common factors Step 3: Simplify 2

  8. Step1: Make into a multiplication problem Step2: Factor the numerator and denominator completely Step 3: Reduce any common factors Step 4: Simplify

  9. Step1: Make into a multiplication problem 3 Step2: Factor the numerator and denominator completely Step 3: Reduce any common factors Step 4: Simplify

  10. 2 2 Continue factoring!!!

  11. Closure 9.1(in class):

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

  13. Transparency 2a

  14. Lesson 9.2 Learning Targets : • I can determine the LCM of polynomials • I can add and subtract rational expressions

  15. Vocabulary To add and subtract Rational Expressions: To find equivalent fractions with the same denominator, we need the LCM.

  16. Your Turn:

  17. Your Turn:

  18. Your Turn:

  19. Your Turn:

  20. Closure Lesson 9.2 (in class):

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

  22. Transparency 3a

  23. Lesson 9.6 Learning Targets : • I can solve Rational Equations

  24. Vocabulary A rational equationis ____________________________________________ ____________________________________________________________ Hint: When solving a rational equation, eliminate the fractions first! Check the solutions in the original equation

  25. Warm-up 9.3 4. 5.

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