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Order of Operations

  1. Parentheses and Brackets
    from the inside out
  2. Exponents
    of numbers or parentheses
  3. Multiplication and Division
    in the order they appear.
  4. Addition and Subtraction
    in the order they appear.

Now, start using the Order of Operations to simplify the polynomial inside of the second set of parentheses. There are no exponents on the inside so you can skip to simplifying multiplication and division in the order the appear. The division comes first in this expression, so divide 3 by 2 first.

Multiplication comes second in this problem, so now you can multiply three halves by 2.

Now that the inside of each set of parentheses and brackets are simplified, the problem can be worked on as a whole instead of in little groups. Now in step two of the Order of Operations, simplify the only exponent in the expression, (3)2

Continuing with the Order of Operations, multiply [8x + 10] and (9).

There are no terms which can be combined, this problem is complete. Proceed to the next page for Order of Operations worksheets, and resources.


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