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This worksheet is due Friday, December 12 Review for Test Chapter 4 Write the prime factorization of the number (using exponents). Show your factor tree. 1. 112 2. 54 Prime factor the monomial. Write your answer without using exponents. 3. 28xy 4. 56u v 3 2 2 List all of the factors of each number. 5. 20 : _________________________ 6. 48: ______________________________ To find the GCF of variables use ________________ variables to the _____________ power. Find the Greatest Common Factor (GCF) of the numbers or monomials. 7. 8, 28 8. 6, 15 10. 5 x ,15 x 3 2 9. 24, 30 11. 36 x y ,45 xy z 3 2 3 12. 9a b,7 a b 2 3 To find the LCM of variables use ________________ variables to the _____________ power Find the Least Common Multiple (LCM) of the numbers or monomials. 13. 4, 6 16. 5 x ,15 x 3 14. 6, 15 2 15. 10, 8 17. 4 x y ,36 xy z 3 2 3 18. 9a b,7 a b 2 3 19. A fountain in an amusement park has special-effect devices called shooters. They shoot columns of water at different time intervals. One shooter goes off every 8 seconds while another goes off every 12 seconds. How long after the fountain is turned on will both shooters go off at the same time? Write the fraction in simplest form. 20. 16 48 21. 18 20 23. 3bc 9b 24. 9abc 12a 22. 21 63 25. 20 m 5mn Evaluate the expression when x=3 and y=5. Remember to simplify the fraction first. 26. 4x 4 24 x 3 27. x2 y4 x2 y Find the least common denominator of the fractions. Use the least common denominator to write equivalent fractions. Complete the statement with <, >, or =. 28. 11 41 ________ 12 48 29. 4 3 9 ________ 6 2 30. 8 7 17 _________ 16 2 Order the numbers from least to greatest. 31. 2 5 1 5 , , , 3 6 2 12 4 5 5 5 32. 1 , 1 , , 1 7 14 4 8 a m a n a m n To multiply powers with the same base, ___________________ their exponents. am To divide two powers with the same base, _________________ their exponents. a mn n a Simplify the expression. 33. m m 8 3 34. 6 6 2 6 35. a b ab 2 6 5 n16 36. 10 n 510 37. 57 x5 x9 38. x2 39. 7 x 4 5 x 2 40. 3ab 2 4a 3 b 3 41. 6 x 2 y 4 2 x 5 42. 20 x 6 4x 2 43. 10 m 8 12 m 5 44. 3a 3 b 6ab 1 and an Any nonzero number to the power of zero is equal to ________ , a 0 1 . A Negative Exponent means _________________, so a n Simplify. Write the expression using only positive exponents. 45. x 4 46. a 6 47. 18 0 1 an n a 48. k 9 k 1 49. a 8 a 3 50. x 7 x 3 51. n 4 n 2 52. q 3 q 5 53. x 0 54. 8 2 55. x2 x6 56. a a3 58. v7 v7 59. y4 y 10 57. m 2 m3 Write the number in scientific notation. 60. 34,600,000,000 61. 980,000,000 62. 0.000012 63. 0.0000009 Write the number in standard notation. 64. 3.5 x 10 3 65. 2.48 x 10 6 66. 5.1 x 10 4 67. 9.16 x 10 2 Find the product. Write your answer in scientific notation. 68. (5 x 10 9 ) x (4 x 1015 ) 69. (5.4 x 10 -5 ) x (3.6 x 10 -9 )