### About PEMDAS:

When we encounter multiple operations in a problem, we use the order of operations to determine which operation takes priority. PEMDAS is an acronym used to remember the order of operations.PEMDAS:

- Parentheses
- Exponents
- Multiply or Divide (working from left to right)
- Add or Subtract (working from left to right)

Test Objectives

- Demonstrate a memorization of the Order of Operations
- Demonstrate an understanding of how to perform the steps MD and AS in PEMDAS
- Demonstrate the ability to solve a problem with multiple operations using the Order of Operations

#1:

Instructions: Evaluate each.

a) [(-1 - (-21)) x 2] ÷ (9 + 1) - (-15)^{2}

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#2:

Instructions: Evaluate each.

a) -24 + 3 + 8 - [(-1 + 13)^{2} - (2 + 13)]

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#3:

Instructions: Evaluate each.

a) (-30 x 2) ÷ [(28 - 26) x (-19 - (-13))]

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#4:

Instructions: Evaluate each.

a) [(-18 + 9) x 3] ÷ (-10 - 22 + 18 + |-5|)

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#5:

Instructions: Evaluate each.

a) [-23 - (8 + (-12) x 2 - 1 - 12)] ÷ (-21 - (-20))

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Written Solutions:

#1:

Solutions:

a) [(-1 - (-21)) x 2] ÷ (9 + 1) - (-15)^{2} = -221

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#2:

Solutions:

a) -24 + 3 + 8 - [(-1 + 13)^{2} - (2 + 13)] = -142

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#3:

Solutions:

a) (-30 x 2) ÷ [(28 - 26) x (-19 - (-13))] = 5

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#4:

Solutions:

a) [(-18 + 9) x 3] ÷ (-10 - 22 + 18 + |-5|) = 3

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#5:

Solutions:

a) [-23 - (8 + (-12) x 2 - 1 - 12)] ÷ (-21 - (-20)) = -6