Order of Operations - 9th Grade Algebra 1

  • Concept of PEMDAS

    Concept of PEMDAS

    Parentheses, Exponents, Multiplication, Division, Add, Subtract (Please Excuse My Dear Aunt Sally)
  • Example Problem

    Example Problem

  • Step 1 - Parentheses

    Step 1 - Parentheses

    Solve anything inside a set of parentheses. In this example, we will begin with (1+3)/2. The first step to working in the parentheses is to simplify the numerator and make it one term. Once that is completed, the fraction will need to be simplified because it is still inside the set of parentheses.
  • Step 2 - Exponents

    Step 2 - Exponents

    Simplify any term that contains an exponent. In this example, we will simplify 4^2.
  • Step 3 - Multiplication

    Step 3 - Multiplication

    Simplify further using multiplication. In this example, we will be multiplying 10*2.
  • Step 4 - Addition/Subtraction

    Step 4 - Addition/Subtraction

    Add or subtract any remaining terms. In this example, we will subtract 20-16.
  • Something to keep in mind...

    Something to keep in mind...

    When solving using multiplication and division, the two are interchangeable in the acronym. By that, I mean division can come before multiplication in a problem. When one is solving and is left with multiplication and division, you work left to right. In this example, division comes before multiplication.
  • One more note!

    One more note!

    The same goes for addition and subtraction. Even though addition comes before subtraction in the acronym, they are still interchangeable. When provided with both, you work left to right.
  • Example Problem 2

    Example Problem 2

    Solve for x using the order of operations.