Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Pre-Algebra I Summer Review Dear Algebra Students, Welcome to 8th grade Algebra I. In preparation for beginning Algebra I, and doing some geometry and probability and statistics, it is important to master certain pre-algebra concepts. The Pre-Algebra class should complete this review over the summer. It will be graded as a test and is due the day you return to school. Please use your textbook for help. Have a wonderful summer! Sincerely, Mrs. Lewis Do all your work on this paper. If you need more room — write on a separate piece of paper and attach. Do NOT use Calculators except on 9 and 10. Show all work. Matching. Write the correct letter next to each. 1. _____ 6(jk)=(6j)k a. Distributive Property 2. _____ 5 ≤ 9, so 5 - 3 ≤ 9 — 3 b. Division Property of Equality 3. _____ (5 + 2) + 8 = 5 + (2 ÷ 8) c. Subtraction Property of Inequality 4. _____ 78 + 15 = 15 + 78 d. Associative Property of 5 _____ 7 > 4, so 7(-3) < 4(-3) e. Commutative Property of Addition 6. ______ 6(-3x + 9) = -l8x + 54 f. Associative Property of Multiplication 7. ______ 10=5(2), so 10+2 = 5(2)+2 g. Addition Property of Equality 8. _____ 8=4 +4, so 8 44 2 2 Addition h. Multiplication Property of Inequality Find the mean, median, and mode for each set of data. Round to the nearest tenth when necessary. 9. 32 43 40 39 38 43 40 42 43 44 43 41 Mean:________ Median: ___________ Mode:_________ Range: _________ 10. 5.7 5.9 5.3 4.9 4.9 5.0 5.2 5.3 5.4 Mean:________ Median:_________ Mode:_________ Range: _________ Solve. Simplify fractions to lowest terms. 11. 4 x 4 16. 6 4 9 3 5 12. ` 3 3 x 5 5 17. 13. ½ x ¾ 5 3 8 10 14. 8 ÷ ½ 18. 6 1 2 5 2 3 15. ¾ ÷ ¼ Simplify each expression. 19. 4(3c - 6) + 4c 20. 3(12) 3(12) 8 4 4 Solve each equation. 21. 3(t+4) = 10 22. 4h 3 1 8 4 Evaluate each expression. 23. 3t+2s s= -l t=4 24. 3(t - s) + 2s s=-2 t=3 Compare. Use <, >, or = to complete each statement. 25. -1 ______ │-3│ 26. 36 ______ 2(-9) 2 27. -4.56_____ -4.75 Tell whether each expression is a numerical expression or a variable expression. 28. 13f - 1 ______________ 29. 4x3+5 __________ Write a variable inequality. 30. Less than 62 people (p) came to the dog show. 31. The high temperature (t) will be no more than 64 degrees Fahrenheit. Solve each Inequality. Graph the solution on a number line. 32. 3g + 3 - 5 < 7 33. -12 + 3x > 15 Name the coefficients, any like terms, and the constants. 34. 4y- 3 + 3y - y 35. 2gh - 7 - 6gh Coefficients ___________ Like Terms ___________ Constants ___________ Coefficients ___________ Like Terms ___________ Constants ___________ Find the perimeter and the area of the following rectangle. (A = LW and P = 2L + 2w) L = 5.1 cm W = 12.6 cm 36. A = _____________ 37. P = ____________ Complete each statement. 38. 52 m = _______________cm 39. 6789 mL = ______________L Graph and label the following coordinates: 40. C(2,-1) 41. D (-3, 0) List all of the factors of each number. 42. 12 43. 36 Write using exponents. 44. b • b • b • e • e Simplify each expression. 45. h5 * h3 * h6 46. 2•2 g•g•g•h•h•h 47. (4t+3s)2 Evaluate. 48. 2h + 2h - 4 for h=3 49. 2r - 5+3r for r=2 Find the GCF (Greatest Common Factor). 50. 12 and 36 _____________________ 51. 15 and 20 ___________________ Write the Prime Factorization of each number. (Make a Factor Tree) 52. 81 _________ 53. 72 ________ 54. 1000 ________ Write each expression without a fraction bar. 56. 2y/3p 57. x/y Find the LCM (Least Common Multiple) of each group of expressions. 58. 25p2z5, 20 p3z ____________ 59. 15 g4 h3, 40gh ___________ Write each fraction as a decimal. 60. ½ _____________________ 61. 2/3 __________ 55. 340 _______ Write each decimal as a fraction or mixed number in simplest form. 62. 2.05 _________________ 63. 0.67 ___________________ Add or subtract. Reduce to lowest terms. 64. 2 - 2/3= _____________ 65. 32/5 + 12/4 = __________________ Find each product or quotient. 66. 150/250 67. (.04)(3000) Complete each statement. 68. 14 lb = ______ ounces 69. 3.5 qt = ______ pt Solve each equation. 70. 5x+2=-13 71. 8w - 3 = 2w + 5 Solve each proportion. Round to the nearest tenth where necessary. 72. 3 = x 25 10 73. 30 = 4 27 x Suppose you have a bag containing 6 red, 5 blue, 4 white, and 3 black marbles. One marble is selected at random. Find the probability of choosing each of the following. 74. P(white or black) 75. P(not blue) Complete each statement. Round to the nearest tenth where necessary. 76. 7.56 mi = ______ ft. 77. 2500 mL = ________ liters 78. 240 cm = _________ meters Write a proportion or equation and then solve. Where necessary, round to the nearest tenth or tenth of a percent. 79. What is 56% of 320? 80. 84 is what percent of 756?