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Math Final Exam Review | Study Guide For Success

Prepare for your math final exam with these comprehensive review questions covering topics such as factoring, quadratic equations, transformations, probabilities, exponential functions, and more. Boost your confidence and ace your exam!

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Math Final Exam Review | Study Guide For Success

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  1. Final Exam Review

  2. Question 1 - 10

  3. Answer 1 – 10

  4. Question 1 - 20

  5. Answer 1 – 20

  6. Question 1 - 30

  7. Answer 1 – 30

  8. Question 1 - 40

  9. Answer 1 – 40

  10. Question 1 - 50 • Multiply

  11. Answer 1 – 50

  12. Question 2 - 10 • Factor Using GCF

  13. Answer 2 – 10 3b² ( 2 – 5b )

  14. Question 2 - 20 • Factor by Grouping

  15. Answer 2 – 20 ( 3k – 1 ) ( k² + 5 )

  16. Question 2 - 30 • Factor the Trinomial

  17. Answer 2 – 30 ( x + 3 ) ( x – 10 )

  18. Question 2 - 40 • Factor

  19. Answer 2 – 40 ( 5x + 4 ) ( 5x – 4 )

  20. Question 2 - 50 • Factor

  21. Answer 2 – 50 ( 2x + 3 )²

  22. Question 3 - 10 • Compare the graph of the function with the graph of f(x) = x² and describe it’s transformation.

  23. Answer 3 – 10 The graph will be a Maximum instead of a Minimum and the vertex will be translated down 5 units.

  24. Question 3 - 20

  25. Answer 3 – 20 H(x) F(x) G(x)

  26. Question 3 - 30 • The height of a rocket fired from a platform 80 feet above the ground is modeled by the equation h(t) = -16t² + 64t + 80, where h is the height of the rocket and t is the time in seconds. Find the maximum height of the rocket.

  27. Answer 3 – 30 5 Seconds

  28. Question 3 - 40 • Solve using square roots: 4x² - 64 = 0

  29. Answer 3 – 40

  30. Question 3 - 50 • Solve the equation using the quadratic formula. Round your answer to the nearest hundreth.

  31. Answer 3 – 50

  32. Question 4 - 10

  33. Answer 4 – 10 2187

  34. Question 4 - 20

  35. Answer 4 – 20 9.058973

  36. Question 4 - 30

  37. Answer 4 – 30 Yes, constant ratio of .5

  38. Question 4 - 40 A $1600 computer is losing value at a rate of 10% per year. Write an exponential function to model the situation and state its value after 5 years.

  39. Answer 4 – 40 $944.78

  40. Question 4 - 50 Francium-233 has a half-life of 22 minutes. Find the amount of Francium-233 left from an 88 gram sample after 54 minutes.

  41. Answer 4 – 50 16.05 grams

  42. Question 5 - 10 An experiment consists of pushing the random select button on a CD player for a disc with five tracks. Use the results in the table to find the experimental probability of selecting Track 4.

  43. Answer 5 – 10

  44. Question 5 - 20 An experiment consists of pushing the random select button on a CD player for a disc with five tracks. Use the results in the table to find the experimental probability of selecting an odd number track.

  45. Answer 5 – 20

  46. Question 5 - 30 Find the Theoretical Probability of randomly selecting a vowel from all the letters in the word VOWELS.

  47. Answer 5 – 30

  48. Question 5 - 40 Find the Theoretical Probability of picking a red marble out of a bag with 3 green, 5 blue, 2 red, and 6 yellow marbles.

  49. Answer 5 – 40

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