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Algebra /Honors Algebra – Summer Assignment 8th Grade Dear Student: In order to prepare for our Algebra program, it is necessary that you maintain your pre-algebra skills. These skills are important in solving problems in algebra, geometry, probability, and statistics. This assignment will be collected on the first day of class. It will be counted as your first homework grade. Ten points will be deducted each day that it is late. ► The attached worksheets are your assignment. ► Please show all of your work neatly on loose-leaf ► Place the final answer on the worksheet in the space provided. ► Use pencil ► Be sure your name is on all of your papers. ► A useful website is www.algebra1.com. Have a peaceful and safe summer! The Mathematics Department Name ------------------------------- Date---------------- Evaluate the expression when x = 6, Y = 1.0, and z = -1.2. 2. 2x + Y 1. 13 - x 1 2 5. 2z 7. x 2 + 2y-13 8. (z + xp - x y 2. 3. 4. 5. 6. 7. ______________ 8. ______________ 9. _____________ 6. -2(y - z) (y - x)2 Y 9. 22 Identify the property that the statement illustrates. 10. a + (b + c) = (a + b) + c 11.. mon=nom 10. _____________ 12. x (y + z) = xy + xz 13. 'x 11.. _____________ 12. _____________ 1= x 0 " 1.. _____________ 3. - 4. yz Answers Use the distributive property to write an equivalent variable expression. 130 _____________ 14. _____________ 14. 9(x + 3) 16. (9 + 7x)(-5) 15. _____________ 16. _____________ 19. x + 9x 17. 18. 19. 15. -3(2d - 4) Simplify the expression. 17. 4(3m) 18. -3b(13) 20. -5t + 7t - 2t 21. 3p - (p 23. 4(c + 2) + c 24. -2(y + + 6) + (3 - d) 25. -k + 5(k - 6) 22. 5d 3) - 7y 28. -13z = -7 27. 5 = h - 23 r = 169 29'4"=-14 31. j - 9.2 32. 3.6 = 2.4v 33. 0.8 = 6.5 a c 34. 5" + 4 = -2 36. 6(x 38. k 35.51 = -3 - + 3) -1 = -7 + (2 - 5k)(6) 25. _____________ = -3.6 30. -1.2 + Y = 3.7 = k + 12 21. ______________ 22. ______________ 23. ________~____ 24. ______________ Solve the equation. 26. x + 14 20. 2b 37. 4h - 3(h + 2) = -8 39. -3t + 7(t -1) = -11 + 2t 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. ______________ 36. ______________ 37. ____~________ 38. _--,----_ _ __ 39. ______________ Answers 40. ______________ Write the verbal sentence as an equation. 40. Six plus 4 times a number is equal to 16 minus the number. 41. Five times a number minus -11 is equal to 26 times the number. 42. A number divided by 3 and increased by 5 is equal to -9. 43. 44. 45. 43. A number less 13 is equal to the number divided by 2. Solve the inequality. 44. x + 5 <-4 45. 45;::: c 47. -3<- 48. 8 - 3w S 14 49. 17>4 50. -t 5 46. 20 47. 48. 49. ______________ 50. ______________ b 46. -6y;:: 72 18 p 7 ;:: 3(t + 51. -6x + 17> 5 1) 2x 51. ______________ 52. ______________ Write the verbal sentence as an inequality. 52. The difference of 5 and y is at least 19. 53. The sum of z and 41. 42. 53. 12 is greater than -20. 54. 54. The quotient of x and 4 is at most - 2. 55. 55. The product of b and 7 is less than 84. Find the greatest common factor of the monomials. 56. 57. 56. 3x 2 , 13x 58. 57. 64a5 b5 , 80a 4 b7 58. 15p, 59. Write the fraction in simplest form. 59. 3Sk 2 60. 64a 5 8a 3 SIX}'3 61. - - 4 34x 60. 61. ______________ 62. ---:---, 62. ______________ 63. ______________ Find the least common multiple of the monomials. 63. 4t, 20t 2 4 2 64. lOxi, 12x2y 65. lSa b , 24ab Find the product or quotient. Write your answer using only positive exponents. 68. 2a3 ·4a2 66. t 4 • to 70. m 3 -? X - 71. ----=4 x 72. 54d 6 3 64. 65. 66. 67. 68. 69. 70. 71. ______________ 72. ______________ 73. ______________ Simplify the expression. 74. x x Answers d "9 + 15 76 _ 6h + 2h d 75. 8 - 20 · 13 39 Solve the equation. 6 77']3x 78. _ _ _ _ __ Solve the equation or inequality by first clearing the fractions or the decimals. 317 + S = 20 5 80. 4 a 82. 1.2x + 2.4 84. 1 1 4.2 5 1 3 81. 16 "3 t 83. 1.9x + 6.7 2 -7"d + 2" ?: 14 8 - f 3 12 = 36 = 102 89 • §. 7 d 79. _ _ _ _ __ 80. _ _ _ _ __ ·81. _ _ _ _ __ 8 82. _ _ _ _ _ __ = 18.48 83. _ _ _ _ _ _~ 50 85. "3 b - 27 < Sf 84. _____________ 85. _ _ _ _ _ __ Solve the proportion. 86. 75. 76. _ _ _ _ __ 77. _ _ _ _ __ 2 78. SC - 5 = 17 24 74. x 87. 48 5 6 = 4.8 90 • 9.6 c 51 86. _ _ _ _ _ __ 88 7 = 56 • a 96 87. _ _ _ _ __ 91 4.7 = 14.1 • Y 33 Use a proportion or the percent equation to answer the question. 88. _ _ _ _ _ __ 89. _ _ _ _ __ 90. _ _ _ _ __ 92. What percent of 580 is 203? 91. _ _ _ _ _ __ 93. 99 is 22.5% of what number? 92. _ _ _ _ _ __ 94. What number is 25% of 125? 93. _ _ _ _ __ 94. _ _ _ _ _ __ AAswerKey Honors/Regular Algebra I Summer Assignment . 3. 1. 7 2. 22 3.S' 4. -120 , 7. 43 5. 72 6.-44 2 8. 26 ' 9. 10. associative property ofaddition 11. commutative property of multiplication 12. distributive property 13. identity property of multiplication 14. 9x + 27 15. -6d + 12 16. -45 - 35x 17. 12m 18. -39b 19. lOx 20; 0 40. 4d + ~ 23~ 5c + 8 -9y - 6 25. 4k - 30 26. -21 27. 28 -13 29. - 56 30. 4.9 31. 5.6 1.5 33. 5.2 34. - 30 35.' -108 -4 37. -2 38. 0 39.-2 6 + 4x = 16 - x 41. 5x - (-11) 26x 42. 3" + 5 = -9 21. 2p - 6 I 24. 28. 32. 36. ~2. x . 43. x -13 x =2 44. x < -9 50 46. y:$; -12 47. b> -54 48. w ~ -2 49. P < 148· SO. t:$; -2.5 51. x < 3. 52. 5 - y;::: 19 45. c:$; 53. z + (-12) > -20 55. 7b < 84 54.~:$;-2 56. x 57. 16a4b5 -313 5k2 59'""4 60. 8a61. " ,a- 63. 20t 2 64. 6Ox2; I . 62. 58. 5p 3 --2 5mp 65. 120a4 b3 66. [4 1 1 2 69. 5 70'"2 71. x b m 7 8x 3d 72. 18d 73. 3p 74. 45 75. 40 67. 68. 8a ..3 y 16h 76. - 39 81. 2 116 5 77. 52 82. 1.5 ]0 85. b < 127 83. 6.2 86. 1 87. 40 90. 102 91. 11 94. 31.25 78. 55 92. 35% 79. 1 12 80. '51 84. d:$; 1 88. 12 89. 119 93. 440