Order of Operations Chapter Questions

1. How can the order of operations easily be remembered?

2. Why is it important to have an “order” to the operations?

3. How do you solve a problem that is written in fraction form?

4. How do you solve order of operations problems involving integers? Order of Operations Chapter Problems

Addition/Subtraction and Multiplication/Division

Classwork

1. 5 x 6 – 6 =

2. 5 + 5 x 5 =

3. 3 + 12 ÷ 6 =

4. 9 ÷ 1 – 9 =

5. 15 – 5 x 2 =

6. 9 + 3 x 3 + 10 -1 =

7. 11 + 9 x 3 + 5 – 1 =

8. 6 x 1 + 11 x 4 + 5 =

9. 8 x 11 + 6 x 1 =

10. 3 – 3 + 1 + 3 x 12 =

Homework

11. 4 + 12 ÷ 3 =

12. 4 + 5 x 8 =

13. 5 + 1 ÷ 1 – 4 =

14. 8 x 4 + 1 =

15. 22 – 6 x 2 =

16. 3 x 4 + 4 + 7 x 9 =

17. 10 – 2 + 9 + 3 x 5 =

18. 10 + 4 – 1 + 3 x 2 =

19. 5 x 5 - 7 + 10 x 2 =

20. 5 x 8 + 2 – 2 + 12 x 5 + 10 =

Powers

Classwork

21. 4 x 32 =

22. 23 ÷ 4 ÷ 6 = 23. 7 + 63 ÷ 3 =

24. (7 – 4)2 x 3 =

25. 31- 82 + 5 =

26. 5 x 6 – 72 + 3 =

27. 32 x 5 + 3 – 42 =

28. 1 + 8 x 2 x 22 =

29. 72 – 82 ÷ 23 + 3 x 5 =

30. 4 + 43 x 2 – 10 x 10 =

Homework

31. 4 x 52 =

32. 55 – 82 ÷ 2 =

33. (3 x 2)2 + 3 =

34. 48 ÷ 23 – 3 =

35. 7 + 125 ÷ 52 =

36. 6 x 3 + 32 – 6 =

37. 43 – 6 ÷ 3 x 5 =

38. 41 + 1 ÷ 12 – 62 + 5 =

39. 4+ 43 x 2 ÷ 4 -6 =

40. 5 x 5 + 7 – 2 x 32 =

Grouping Symbols

Classwork

41. 5 x (6 + 3) =

42. (1 + 4) ÷ 5 =

43. 18 ÷ (5 – 2) =

44. 5 – (3 – 1) =

45. (8 + 8) x 3 =

46. (7 – 4) x 2 ÷ (5 – 3) = 47. (92 – 2) – 5 =

48. [(6 – 3) x 2] ÷ 3 =

49. 16 ÷ [10 – (9-8) x 6] =

50. [23 – (10-9)] ÷ (8 – 1) =

Homework

51. 15 ÷ (3 + 2) =

52. (9 – 1) x 9 + 7 =

53. (7 + 5) x 5 =

54. (9 – 3) x 6 =

55. (8 + 4) ÷ 3 – 8 =

56. (2 + 8) x (7 – 3) =

57. 36 – (52 + 4 ÷ 2) =

58. 48 ÷ [22x (2 + 2)] =

59. [20 – (10 – 4)] ÷ (8 – 1) =

60. [(2 + 23 – 7) x 2] ÷ 4 =

Comparing & Grouping

Classwork

61. Compare. Use or = to complete each.

a. (7 – 3)2 7 - 32

b. 7 – 3 x 2 (7 – 3) x 2

c. (9 + 4) x 3 9 + 4 x 3

d. (9 + 6) ÷ 3 – 2 9 + 6 ÷ 3 – 2

e. [3 x (5 + 2) – 2] x 3 3 x 5 + (2 – 2) x 3 62. Insert grouping symbols to make each true.

a. 30 ÷ 6 – 1 = 6

b. 7 x 8 – 5 + 3 = 24

c. 12 – 8 ÷ 4 + 7 = 8

d. 16 + 8 ÷ 4 ÷ 2 = 3

e. 3 + 8 – 2 x 5 = 45

Homework

63. Compare. Use or = to complete each.

a. 15 x 3 – 2 15 x (3 – 2)

b. 3 + 6 x 7 (3 + 6) x 7

c. 2 + 52 (2 + 5)2

d. (3 + 4) x 2 3 + (4 x 2)

e. (24 – 8) ÷ 4 + 2 24 – 8 ÷ 4 + 2

64. Insert grouping symbols to make each true.

a. 44 ÷ 4 + 7 = 4

b. 9 x 4 – 2 x 3 = 54

c. 22 - 7 x 2 = 30 d. 2 x 8 + 5 – 3 – 8 = 12

e. 23 – 15 ÷ 3 + 1 = 2

More Challenging Problems

Classwork

65. 20 ÷ 10 – 2 x 8 =

66. (-15) ÷ (9 – 7 – 5) =

67. 2 ÷ (-1) – (-4)2 =

68. [(-3) x 3 + 4] ÷ (-1) =

69. (-4) – [(-7) + (-8) + 10] =

70. =

71. (1 + ) ÷ =

72. 9.285 – [8.6 – (1.9 – 1.6)] =

73. =

74. =

Homework

75. (-9) x 5 + 22 =

76. 4 – (1 – 8 – 3) =

77. (30 – 10) ÷ (3 – 7) =

78. (7 x 3) ÷ [(-1) – 6] =

79. 10 – [(-2) – 8 x (-9)] =

80. ) x 2 =

81. x 3 ) ÷ ( - 1) =

82. (3.72 + 2.28) ÷ (9.9 – 9.4) =

83. =

84. = Word Problems

Classwork

Write a numerical expression and solve.

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?

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?

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?

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?

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?

Homework

Write a numerical expression and solve.

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?

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?

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?

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?

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