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First Quarter Final Exam Review 1 Mathematician________________ Hour________ Practice, prepare, study, review….do your best….ASK QUESTIONS ☺ Final Exam is _______________________ Write the integers in order form least to greatest. 1) –11, 8, 9, 0, –5, 3 2) 2, 0, –12, 14, –16, –3 Evaluate. 3) 10 • 4 – 50 ÷ 5 4) (17 – 9) ÷ 2 + 7 5) 6x – 2 if x = -3 6) 9 + y – 4 if y = 7 7) 72 8) 34 9) –9 + 8 10) 4 + (–10) 11) –6 – 5 12) 7 – 11 13) (–3)(–7) 14) (5)(–10) 15) –72 ÷ 9 16) –88 ÷ (–11) 17) -22 18) (-2)2 20) -2 + -2 – (-2)÷ -2 (-2) 19) Solve 4x – 2x2 21) -23 if x = -2 22) (-2)3 Evaluate each expression if a = 3, b = 6, and c = 10 24) a2 + b2 23) a + c 26) b a 25) b2 + a2 c2 27) c2 - ba 41 Evaluate each expression if a = -3, b = 6, and c = -10 29) a2 + b2 28) a + c 31) b a 30) b2 + a2 c2 32) c2 - ba 41 Solve the equation. 33) x=3 8 37) x = 3.2 9 34) y + 7 = 14 38) y + 7.3 = 14 35) 39) x – 8 = 2.2 36) 5x =150 x – 8 = 0.04 40) 6x = 1.5 Evaluate each expression if a = –3, b = 6, and c = –10 41) a + c 43) abc 42) 44) a – b – c b a 45) c2 + b – (-a) Write an algebraic expression for each word phrase. 46) the difference of a number and 3 47) 6 more than a number divided by 2 Solve each equation. 48) x – 3 = –12 49) 7 + x = –7 50) –9y = –36 51) –4y = 20 52) - x = - 25 Write each fraction or mixed number as a decimal. 53) 4 5 54) 3 1 4 Write each decimal as a fraction. 55) 0.7 56) 0.42 Write the rational numbers in order from least to greatest. 57) 1 , 0.5, 7% 3 58) 0.6, 30%, Solve the equation. 59) x = −3 6 60) 2 x = 20 3 Find each square root. 61. 81 61. - 25 1 8 Final Exam Review #1 Part 2 Identify each sequence as arithmetic, geometric, or neither. Then find the next three terms in the sequence. 1. 7, 10, 13, 16, … 2. 800, 400, 200, 100, … Evaluate each integer problem 3) – 5 – 7 + 8 6) -52 - 52 5) 4 – (-5) + 32 4) -3 – (-4)3 + 6(-3) 7) 3 – 6 + 5 – 7 8) -3 – (-5) + -4(5) 9. The number on your calculator is: 9086.72413 What digit is in the thousandths place? Compare. Use <, > or =. 10. 4.2591 ___ 4.29 11. 3.7 ____ 3.648 12. Round 3.1846 to the nearest thousandth. 13. Round 49.23481 to the nearest hundredth. Identify the property shown: 14. 4 + (96 + 12) = (4 + 96) + 12 15. 3(2 + 9) = 3 • 2 + 3 • 9 16. 8 • 7 = 7 • 8 17. 5 + 0 = 5 Order from least to greatest: 18) 0.092, 0.095, 0.102, 0.099 19) 0.55, 0.505, 0.52, 0.56 Compare. Use <, > or =. 20) 29.08 ___ 29.10 21) 37.2 ___ 37.02 Evaluate. 22) 5.87 + 2.41 23) 7.2 + 1.907 24) 11.46 – 10.64 25) 10 – 5.98 26) 6.09 × 1.3 27) 10.05 × 0.9 28) 3.64 ÷ 9.1 29) 9.4 ÷ 3 Evaluate: 30. 7.34 + 18 + 0.9 31. 26.4 – 3.87 32. 9.27 – 4.385 33. 7.4 × 2.9 34. 78.85 ÷ 9.5 35. 14 ÷ 9 36. What is the total cost of the following items: a notebook for $3.98, 2 packs of paper at $0.49 a pack, a pen for $1.97, and a dozen pencils that cost a total of $1.19? Evaluate: 37. 12 ÷ 2 + 4 • 3 – 2 38. 20 – 5 • 3 + 2 Write a variable expression for the word phrase: 39. the difference of a number of 4 41. 40. the quotient of a n and 3 Order the integers from least to greatest: -10, 8, -9, 0, -6, 3 Evaluate: 42. |16| 43. |-12| Compare. Use <, > or = 44. 3 ___ -6 45. -8 ___ -12 46. -5 ___ |-4| Evaluate 47. -7 + - 9 48. -2 + -11(4) 50. -5 – 1 51. 8 – 13 53. (-3)(-9) 54. (-7)(1.2) 56. -50 ÷ (-1) 57. -24 ÷ (-0.6) 49. -5 + -5(2) - 4 52. -7 – (-2) 55. (-0.8)(-5) Solve each equation. 58. −18 2 59. x – 4 = 11 62. x + 9 = 3 65. x 7 =3 60. x – 3 = -10 61. x + 8 = 14 63. 5x = 35 66. x 5 = −9 64. -2x = 12 Solve each equation. 67) x – 3 = -12 69) 68) 7 + x = -7 n = −10 5 70) -4y = 20 Evaluate. 71) 92 72) 53 73) 8 + (29 – 5) ÷ 22 74) (9 – 6)2 + 5 • 4 Identify the number as prime or composite. 74) 15 75) 31 76)Name the set or sets of numbers to which the real number belongs. A. rational numbers B. irrational numbers C. natural numbers, rational numbers D. natural numbers, irrational numbers 77)Name the set of numbers to which 1 belongs. 78) Name the set of numbers to which the square root of 2 belongs. 79) Name the set of numbers to which pi belongs. 80) Name the set of numbers to which the square root of 100 belongs. 80a)Name the set of numbers to which -2/6 belongs 17. ______ Metric System for these problems convert each unit from one to the other. 80b)Complete: 3.25 m = ____ cm A. 0.0325 B. 0.325 C. 32.5 D. 325 81)Complete: 8500 m = ____ km A. 0.85 B. 8.5 C. 85 D. 850 82)Complete: 4m = ____ mm A. 40 B. 400 C. 4000 D. 40,000 83) 8.2 km = ____ m 84). 50 mm = _____cm 85) 200 mm = _____ m 86. 4.2 m = _____ mm 87. 32 mm = _____ cm 88. 6.8 km = ______ m Sequences 89)Identify and find the next three terms in the sequence: 2, 6, 18, 54, … A. 108, 216, 432 B. 82, 156, 454 C. 58, 70, 106 D. 162, 486, 1458 90)Identify the type of sequence: –1, 2, 5, 8, 11, … A. arithmetic B. geometric C. both arithmetic and geometric D. neither 91)Identify the common difference in the arithmetic sequence: 14, 20, 26, 32, … A. 3 B. 6 C. 8 D. –3 92)Find the next three terms in this arithmetic sequence: 14, 11, 8, 5, … Identify the type of sequence: 2, 6, 18, 54, … A. arithmetic B. geometric C. both arithmetic and geometric D. neither 93)Identify the common ratio in this geometric sequence: 27, 9, 3, 1, … A. 3 1 B. 2 1 C. 3 D. 6 Identify the type of sequence. 94. 3, 12, 48, 192, … 95. 8, 17, 26, 35, … Scientific Notation Express each in scientific notation. 96. 1,700,000 97. 249,000 99. 2.4 x 103 Express each in standard form. 98. 7.1 x 107 Solve the equation. 100) x = -3 8 104) x = -3.2 -9 101) y + 7 = -14 105) - y + 7.3 = 14 102) x – 8 = -2.2 106) x – 8 = -0.04 103) -5x =150 107) -6x = 1.5