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Algebra 2 Lesson 8.6

Algebra 2 Lesson 8.6. Check: p. 586 #27, 29, 31-36 p. 1017 #10, 12,18-32 even. Test Chapter 8 Friday. Algebra 2 Warm-up (used in sub plan 5-14-13) Use Book Warm-up 8.6, then Daily HW Quiz as QUIZ. Answers. Section 8.6.

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Algebra 2 Lesson 8.6

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  1. Algebra 2Lesson 8.6 Check: p. 586 #27, 29, 31-36 p. 1017 #10, 12,18-32 even Test Chapter 8 Friday

  2. Algebra 2 Warm-up (used in sub plan 5-14-13)Use Book Warm-up 8.6, then Daily HW Quiz as QUIZ

  3. Answers

  4. Section 8.6 Objective: Solve equations that contain rational expressions.

  5. We can use the LCD to help us solve rational equations... What is the LCD? 6 Example 1: a) Multiply both sides by the LCD Distribute the 6 3x + 2(5x) = 6(13) 3x + 10x = 78 13x = 78 x =6

  6. Write this in factored form to find the LCD Let’s look at a more challenging equation... (x + 5)(x – 2) What is the LCD? Distribute Ex 1 b): Solve Check for extraneous roots x = –4, 1

  7. Set cross products equal to each other... Simplify... When the equation has only a single fraction on each side, you can use cross products to solve ... Put this in standard form... Factor and solve... Ex 1 c) Solve x = –6, 5 Check for extraneous roots

  8. Classwork Practice WS 8.6B

  9. Homework P. 593 # 7-19 All

  10. Closure • In Solving equations that contain rational expressions: • 1) Find the LCD • 2) Multiply both sides of equation by LCD to eliminate denominators. • 3) Solve the NEW equation. • 4) Check answers – they cannot make the original denominator zero.

  11. Solve these equations

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