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  • 1. Today: Final Exam Review Rational Expressions Review Adding/Subtracting Rational Expressions Solving Rational Equations Complete Class Work from Yesterday Khan Academy Due Tomorrow for Everyone June 3, 2014
  • 2. Final Exam Review: (June 11th ) x2 + x – 42 = 0
  • 3. Final Exam Review: (June 11th ) Simplify the following expression: (x + 2) + (x – 2)(2x + 1) (2x2 – 3x -2) + (x +2) Solve: 2x2 – x – 4 = 0
  • 4. Simplifying Rational Expressions & Multiplying/Dividing Simplify: 𝟗𝒙(𝒙 − 𝟖) 𝟗𝒙(𝒙 − 𝟔) ÷ 𝒙 − 𝟖 𝟓 = 𝟗𝒙(𝒙 − 𝟖) 𝟗𝒙(𝒙 − 𝟔) ∙ 𝟓 𝒙 − 𝟖 = 𝟗𝒙 𝒙 − 𝟖 𝟓 𝟗𝒙(𝒙 − 𝟔)(𝒙 − 𝟖) 𝟓 𝒙 − 𝟔
  • 5. Adding and Subtracting Rational Expressions with unlike Denominators Find the LCD 18a3b3 5d - 20 (x + 4)(x + 1)2 (s + 2)(s - 2 )(s + 5)
  • 6. (x + 1)(x – 2) x – 3 x2 – x – 2 x – 3 + x – 3 4 x + 2 LCD = (x – 3) x – 3 x – 3 + x2 – x – 6 4 Adding and Subtracting Rational Expressions with unlike Denominators
  • 7. Adding and Subtracting Rational Expressions with unlike Denominators = 𝟐 𝒙+𝟔 +𝒙 (𝒙+𝟔)(𝒙−𝟑) The LCD 𝐢𝐬 (𝐱 + 𝟔)(𝐱 − 𝟑) 𝟐 𝒙 − 𝟑 + 𝒙 𝒙 𝟐 + 𝟑𝒙 − 𝟏𝟖 𝟐 𝒙 − 𝟑 ∙ 𝒙 + 𝟔 𝒙 + 𝟔 + 𝒙 (𝒙 + 𝟔)(𝒙 − 𝟑) = 𝟑𝒙+𝟏𝟐 (𝒙+𝟔)(𝒙−𝟑)
  • 8. + a2 – 36 a - 6 3 2 + (a + 6)(a – 6) (a – 6) 3 2 (a + 6) (a + 6)(a – 6) 3 + 2a + 123 2 (a + 6)(a – 6) (a + 6)(a – 6) + (a + 6)(a – 6) 2a +15 Adding and Subtracting Rational Expressions with unlike Denominators
  • 9. Solving Rational Equations
  • 10. Solving Rational Equations
  • 11. Solving Rational Equations
  • 12. Class Work: Please Change #2 to the following Final Note: All of today’s practice problems come from the Algebra II workbook.