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Order of Operations Practice

Practice Problem #1

  • 30 − 6(5 − 1)   Complete the operations in the parentheses.
  • 30 − 6(__blank)
  • 30 − 6(4)   Multiply.
  • 30 − __blank
  • 30 − 24   Subtract.
  • 30 − 24 = __blank
  • Answer: 6

Practice Problem #2

  • (5 − 2)3 + (3 + 4)2   Complete the operations in the parentheses.
  • (__blank)3 + (__blank)2
  • (3)3 + (7)2   Evaluate the exponents.
  • (__blank · __blank · __blank) + (__blank · __blank)
  • (3 · 3 · 3) + (7 · 7)
  • (__blank) + (__blank)
  • (27) + (49)   Add.
  • Answer: 76

Practice Problem #3

  • [3 · 4 − (6 ÷ 2)2] + 11   Complete the operations in the parenthesis.
  • [3 · 4 − (__blank)2] + 11
  • [3 · 4 − (3)2] + 11   Evaluate the exponent.
  • [3 · 4 − __blank] + 11
  • [3 · 4 − 9] + 11   Multiply.
  • [__blank − 9] + 11
  • [12 − 9] + 11   Subtract.
  • [__blank] + 11
  • [3] + 11   Add.
  • Answer: 14

Practice Problem #4

  • fraction a squared plus b squared over c squared
    Substitute the values for a, b, and c where a = 4, b = 3, and c = 5.
  • fraction 4 squared plus 3 squared over 5 squared
    Evaluate exponents.
  • fraction 16 plus 9 over 25
    Add.
  • fraction 25 over 25
    Simplify.
  • fraction 25 over 25 equals 1

You've completed this review!