<p> Order of Operations Chapter Questions</p><p>1. How can the order of operations easily be remembered?</p><p>2. Why is it important to have an “order” to the operations?</p><p>3. How do you solve a problem that is written in fraction form?</p><p>4. How do you solve order of operations problems involving integers? Order of Operations Chapter Problems</p><p>Addition/Subtraction and Multiplication/Division</p><p>Classwork</p><p>1. 5 x 6 – 6 =</p><p>2. 5 + 5 x 5 =</p><p>3. 3 + 12 ÷ 6 =</p><p>4. 9 ÷ 1 – 9 =</p><p>5. 15 – 5 x 2 =</p><p>6. 9 + 3 x 3 + 10 -1 =</p><p>7. 11 + 9 x 3 + 5 – 1 =</p><p>8. 6 x 1 + 11 x 4 + 5 =</p><p>9. 8 x 11 + 6 x 1 =</p><p>10. 3 – 3 + 1 + 3 x 12 =</p><p>Homework</p><p>11. 4 + 12 ÷ 3 =</p><p>12. 4 + 5 x 8 =</p><p>13. 5 + 1 ÷ 1 – 4 =</p><p>14. 8 x 4 + 1 =</p><p>15. 22 – 6 x 2 =</p><p>16. 3 x 4 + 4 + 7 x 9 =</p><p>17. 10 – 2 + 9 + 3 x 5 =</p><p>18. 10 + 4 – 1 + 3 x 2 =</p><p>19. 5 x 5 - 7 + 10 x 2 =</p><p>20. 5 x 8 + 2 – 2 + 12 x 5 + 10 =</p><p>Powers</p><p>Classwork</p><p>21. 4 x 32 =</p><p>22. 23 ÷ 4 ÷ 6 = 23. 7 + 63 ÷ 3 =</p><p>24. (7 – 4)2 x 3 =</p><p>25. 31- 82 + 5 =</p><p>26. 5 x 6 – 72 + 3 =</p><p>27. 32 x 5 + 3 – 42 =</p><p>28. 1 + 8 x 2 x 22 =</p><p>29. 72 – 82 ÷ 23 + 3 x 5 =</p><p>30. 4 + 43 x 2 – 10 x 10 =</p><p>Homework</p><p>31. 4 x 52 =</p><p>32. 55 – 82 ÷ 2 =</p><p>33. (3 x 2)2 + 3 =</p><p>34. 48 ÷ 23 – 3 =</p><p>35. 7 + 125 ÷ 52 =</p><p>36. 6 x 3 + 32 – 6 =</p><p>37. 43 – 6 ÷ 3 x 5 =</p><p>38. 41 + 1 ÷ 12 – 62 + 5 =</p><p>39. 4+ 43 x 2 ÷ 4 -6 =</p><p>40. 5 x 5 + 7 – 2 x 32 =</p><p>Grouping Symbols</p><p>Classwork</p><p>41. 5 x (6 + 3) =</p><p>42. (1 + 4) ÷ 5 =</p><p>43. 18 ÷ (5 – 2) =</p><p>44. 5 – (3 – 1) =</p><p>45. (8 + 8) x 3 =</p><p>46. (7 – 4) x 2 ÷ (5 – 3) = 47. (92 – 2) – 5 =</p><p>48. [(6 – 3) x 2] ÷ 3 =</p><p>49. 16 ÷ [10 – (9-8) x 6] =</p><p>50. [23 – (10-9)] ÷ (8 – 1) =</p><p>Homework</p><p>51. 15 ÷ (3 + 2) =</p><p>52. (9 – 1) x 9 + 7 =</p><p>53. (7 + 5) x 5 =</p><p>54. (9 – 3) x 6 =</p><p>55. (8 + 4) ÷ 3 – 8 =</p><p>56. (2 + 8) x (7 – 3) =</p><p>57. 36 – (52 + 4 ÷ 2) =</p><p>58. 48 ÷ [22x (2 + 2)] =</p><p>59. [20 – (10 – 4)] ÷ (8 – 1) =</p><p>60. [(2 + 23 – 7) x 2] ÷ 4 =</p><p>Comparing & Grouping</p><p>Classwork</p><p>61. Compare. Use or = to complete each.</p><p> a. (7 – 3)2 7 - 32</p><p> b. 7 – 3 x 2 (7 – 3) x 2</p><p> c. (9 + 4) x 3 9 + 4 x 3</p><p> d. (9 + 6) ÷ 3 – 2 9 + 6 ÷ 3 – 2 </p><p> e. [3 x (5 + 2) – 2] x 3 3 x 5 + (2 – 2) x 3 62. Insert grouping symbols to make each true.</p><p> a. 30 ÷ 6 – 1 = 6</p><p> b. 7 x 8 – 5 + 3 = 24</p><p> c. 12 – 8 ÷ 4 + 7 = 8</p><p> d. 16 + 8 ÷ 4 ÷ 2 = 3</p><p> e. 3 + 8 – 2 x 5 = 45</p><p>Homework</p><p>63. Compare. Use or = to complete each.</p><p> a. 15 x 3 – 2 15 x (3 – 2)</p><p> b. 3 + 6 x 7 (3 + 6) x 7</p><p> c. 2 + 52 (2 + 5)2</p><p> d. (3 + 4) x 2 3 + (4 x 2)</p><p> e. (24 – 8) ÷ 4 + 2 24 – 8 ÷ 4 + 2</p><p>64. Insert grouping symbols to make each true.</p><p> a. 44 ÷ 4 + 7 = 4</p><p> b. 9 x 4 – 2 x 3 = 54</p><p> c. 22 - 7 x 2 = 30 d. 2 x 8 + 5 – 3 – 8 = 12</p><p> e. 23 – 15 ÷ 3 + 1 = 2</p><p>More Challenging Problems</p><p>Classwork</p><p>65. 20 ÷ 10 – 2 x 8 =</p><p>66. (-15) ÷ (9 – 7 – 5) =</p><p>67. 2 ÷ (-1) – (-4)2 =</p><p>68. [(-3) x 3 + 4] ÷ (-1) =</p><p>69. (-4) – [(-7) + (-8) + 10] =</p><p>70. =</p><p>71. (1 + ) ÷ = </p><p>72. 9.285 – [8.6 – (1.9 – 1.6)] =</p><p>73. =</p><p>74. =</p><p>Homework</p><p>75. (-9) x 5 + 22 =</p><p>76. 4 – (1 – 8 – 3) =</p><p>77. (30 – 10) ÷ (3 – 7) =</p><p>78. (7 x 3) ÷ [(-1) – 6] =</p><p>79. 10 – [(-2) – 8 x (-9)] =</p><p>80. ) x 2 =</p><p>81. x 3 ) ÷ ( - 1) =</p><p>82. (3.72 + 2.28) ÷ (9.9 – 9.4) =</p><p>83. =</p><p>84. = Word Problems</p><p>Classwork</p><p>Write a numerical expression and solve.</p><p>85. Your brother buys 3 shirts for $9 each. He also buys a pair of jeans for $25.00 that gets a $4.00 discount. How much does he spend?</p><p>86. The repairman charged $36 for parts and $12 per hour for labor to repair a bicycle. If he spent 3 hours repairing the bike, what will the total repair bill be?</p><p>87. A store clerk worked 52 hours during one week. If the hourly rate is $8.25 per hour and every hour over 40 hours is paid half the hourly rate, what is the clerk’s weekly salary?</p><p>88. A car rental company charges $42 per day plus 15 cents per mile. What will the total bill be for a 3 day, 400 mile trip?</p><p>89. A carpenter charges $12 per square foot to lay a floor. If a square shaped foyer is 5 feet along one side, and the customer has a coupon for $30 off the total, how much will it cost to have the floor installed?</p><p>Homework</p><p>Write a numerical expression and solve.</p><p>90. A landscaping company charges $75 for spring yard clean-up and then $25 each time the grass is cut. If you plan on having the yard cleaned up in the spring, plus the lawn cut 11 times, how much will it cost?</p><p>91. At the clothing store you buy 3 pairs of jeans for $22 each and 4 shirts for $8.50 each. You also have a $20 off coupon. How much do you spend?</p><p>92. The mechanic charges $275 for parts and $27 per hour. If it took 4 and a half hours to repair your car, how much will the repair bill be?</p><p>93. Tickets for a concert cost $55, it will cost $20 to park, $5 for tolls and $25 for gas. If four friends go to a concert and want to share the cost evenly, how much will they each pay?</p><p>94. A mason charges $15 per square foot to create a patio out of pavers. If you have a square shaped area 12 feet along one side, and you also have a coupon for $45 off the total, how much will it cost to have the patio made? Answer Key 1. 24 2. 30 3. 5 4. 0 5. 5 6. 27 7. 42 8. 55 9. 94 10. 37 11. 8 12. 44 13. 2 14. 33 15. 10 16. 79 17. 32 18. 19 19. 38 20. 110 21. 36 22. 1/3 23. 79 24. 27 25. -28 26. -16 27. 32 28. 65 29. 56 30. 32 31. 100 32. 23 33. 39 34. 3 35. 12 36. 21 37. 54 38. 11 39. 30 40. 14 41. 45 42. 1 43. 6 44. 3 45. 48 46. 3 47. 74 48. 2 49. 4 50. 1 51. 3 52. 79 53. 60 54. **36 55. -4 56. 40 57. 9 58. 3 59. 2 60. 9 61. a. > b. < c. > d. < e. > 62. a. (6-1) b. (8-5) c. (12-8) d. (16+8) e. (3+8-2) 63. a. < b. < c. < d. > e. < 64. a. (4+7) b. (4-2) c. (22-7) d. (2 x (8+6-3)) e. (23-15) (3+10) 65. -14 66. 5 67. -18 68. 8 69. 1 70. 48/5 71. 25/3 72. .985 73. -4 74. -3 75. -41 76. 14 77. -5 78. -3 79. -60 80. 3/14 81. 26 ¼ 82. 12 83. 8 84. -2 85. (3x9) +25 -4 = $48 86. 36 + (3 x 12) = 72 87. $82.50 88. (3 x 42) + (400 x .15) = $186 89. (52 x 12) -30 = $270 90. 75 + (25 x 11) = $350 91. (3 x 22) + (4 x 8.5) – 20 = $80 92. 275 + (4.5 x 27) = $396.50 93. ((4 x 55) + 20 +5 + 25) / 4 = $67.50  several equations 94. (15 x 122) -45 = $ 2115</p>