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Advanced Algebra and Trigonometry: Solutions, Calculations, and Key Concepts

This review focuses on advanced algebra and trigonometry concepts, including solving equations like (1.2x=3), determining the maximum typing speed after several weeks, and understanding compound interest. It covers finding domains, ranges, intercepts, and asymptotes of functions without solutions. Additionally, it discusses practical applications such as investments and time needed to achieve specific typing speeds. Prepare for assessments with this comprehensive overview that integrates calculations and theoretical understandings crucial for mastering algebra and trigonometry.

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Advanced Algebra and Trigonometry: Solutions, Calculations, and Key Concepts

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  1. Chapter 5 Review Advanced Algebra & Trig

  2. 1. x = 3 • 2. x = 30/9 • 3. x = 14 • 4. x = 5/2 • 5. x = 2

  3. 1. x = 7 • 2. x = 29 • 3. x = {no solution} • 4. x = 5 • 5. x = 3/2

  4. YOU CAN NOW USE YOUR CALCULATOR!! • Simplify (Round to 3 decimal places):

  5. 1.285

  6. In typing class, the average number of words per minute typed after t weeks of lessons was found to be: • According to this, what is the maximum number of words a person could type per minute?

  7. 157

  8. In typing class, the average number of words per minute typed after t weeks of lessons was found to be: • Find the necessary time necessary to type 50 words per minute. (Round to the nearest tenth.)

  9. 7.7 weeks

  10. In typing class, the average number of words per minute typed after t weeks of lessons was found to be: • Find the necessary time necessary to type 75 words per minute. (Round to the nearest tenth.)

  11. 13.3 weeks

  12. You invested $1000 in a bank account on Jan. 1, 2004 earning 3% interest. If the interest is compounded quarterly, how much would you have on Jan. 1, 2012?

  13. $1270.11

  14. You invested $1000 in a bank account on Jan. 1, 2004 earning 3% interest. If the interest is compounded annually, how much would you have on Jan. 1, 2007?

  15. $1092.73

  16. What is the domain? sw

  17. What is the domain? • (-4, inf) sw

  18. What is the range? sw

  19. What is the range? • (-inf, inf) sw

  20. What is the x intercept? sw

  21. What is the x intercept? • (-3,0) sw

  22. Does it have a vertical or horizontal asymptote? Where? sw

  23. Vertical at x = -4 sw

  24. What is the domain?

  25. What is the domain? • (-inf, inf)

  26. What is the range?

  27. What is the range? • [-5, inf)

  28. What is the y intercept?

  29. What is the y intercept? • (0, -4)

  30. Does this function have a vertical or horizontal asymptote? If so what is it?

  31. Does this function have a vertical or horizontal asymptote? If so what is it? • Horizontal at y = -5

  32. TEST TOMORROW!

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