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Review: Solving Equations

Review: Solving Equations. Monday, May 26 th. Reminders. Test on solving polynomials tomorrow …questions? Rough draft of cell phone project due Wednesday. Classify the polynomial 3x 4 y – 4xy + y 2 by degree Degree = 2 Degree = 3 Degree = 4 Degree = 5. Classify the polynomial

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Review: Solving Equations

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  1. Review: Solving Equations Monday, May 26th

  2. Reminders • Test on solving polynomials tomorrow …questions? • Rough draft of cell phone project due Wednesday

  3. Classify the polynomial 3x4y – 4xy + y2 by degree Degree = 2 Degree = 3 Degree = 4 Degree = 5

  4. Classify the polynomial 3x4y – 4xy + y2 by degree Degree = 2 Degree = 3 Degree = 4 Degree = 5

  5. Classify the polynomial 3x4y – 4xy + y2 by number of terms Monomial Binomial Polynomial Other

  6. Classify the polynomial 3x4y – 4xy + y2 by number of terms Monomial Binomial Polynomial Other

  7. Classify the polynomial –xy + 1 by number of terms Monomial Binomial Polynomial Other

  8. Classify the polynomial –xy + 1 by number of terms Monomial Binomial Polynomial Other

  9. Classify the polynomial –xy + 1 by degree Degree = 0 Degree = 1 Degree = 2 Degree = 3

  10. Classify the polynomial –xy + 1 by degree Degree = 0 Degree = 1 Degree = 2 Degree = 3

  11. Applications If a fence around this field has a length of 36m, what is x? x + 7 2(x + 7) + 2(16 – 2x) = 36 2x + 14 + 32 – 4x = 36 46 – 2x = 36 16 – 2x 46 – 36 – 2x = 36 – 36 10 – 2x = 0 10 – 2x + 2x = 0 + 2x 10 = 2x 5 = x

  12. Applications If the area of this field is 27.5m2, what is x? Area = (base)(height) 2 5 27.5 = (4 + x)(5) 2 4 + x 55 = (4 + x)(5) 55 = 20 + 5x 55 – 20 = 20 + 5x – 20 35 = 5x 7 = x

  13. Applications If x = 7, what is the length of the hypotenuse? C2 = 52 + (4+x)2 C2 = 52 + (4+7)2 5 c C2 = 52 + (11)2 C2 = 25 + 121 4 + x C2 = 146 C = ±√146 C = 12.1 or -12.1

  14. What is the greatest common factor for 6xy2 – 12y3 + 15x3y2 ? Review: Factoring GCF = 3y2 Factor 6xy2 – 12y3 + 15x3y2 3y2(2x– 4y + 5x3)

  15. In a high jump competition, Seth’s height above the ground is given by h = –4x2 + 14x. Where does Seth land? Applications h = –4x2 + 14x 0 = –4x2 + 14x 0 = –2x(2x – 7) x = 0 and x = 3.5

  16. In your teams, solve as many as possible in 2 minutes. Every team member needs to be involved. Raise your hand when you have solved an equation, so that I can check it for you.

  17. Solve for b –7 + 2b + 4 – 5b = –2b 10b – b + 3 – 8b + 7 = –2(b – 4) –b(2b – 3) – 5 + 2b2 + b – 4b = 0 2 + 3b – 7b + 8 – 9 = 2 + 5b

  18. Solve for a 3a2 – a2 – 50 = 0 4 – ½a2 + a2 = 36 –2(a + 3)2 + 98 = 0 1 + 4(a – 7)2+ 5 – (a – 7)2 = 81 7 + 4(2a + 1)2 + 11 – 6(2a + 1)2 = 0

  19. Solve for d 10 – √d + 5√d + 6 = 2(√d – 1) √d + 3√d – 2(√d – 7) + 8 = √d – 4 –2√(d + 3) + √(d + 3) = 8 ½√(d – 1) + ½ – ¼√(d – 1) = ¾

  20. Solve for a 0 = 2a(3a – 1) 12a2 – 16a = 0 (a + 7)(2a – 9) = 0 –3a(4a + 1)(a – 9) = 0 0 = 5a3 – 45a

  21. Solve for x 30 – 4(x + 1)2 + 15 – (x + 1)2 = 0 4 – ½√x + √x – 3 = 7 – ¾√x + √x – 3 –2x(2x – 7)(x + 3) = 0 4x(3 – x) + 4x2 – 7x – 9 = 4 – (x + 1)

  22. Applications Calvin starts a business offering velociraptor rides for students during lunch at CCHS. He charges $7 for a 5 minute ride and $10 for a 10 minute ride. Over the course of a week, he fills 2 hours worth of riding time and makes $148. How many 5 minute rides did Calvin sell?

  23. Options: The computer lab is booked for you to work on your projectOr you may stay to do extra practice for tomorrow’s test

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