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Order of Operations Test
About The Order of Operations:

The order of operations tells us which operation to perform in which order when faced with a problem that contains more than one operation. The order of operations: 1) Parentheses, 2) Exponents, 3) Multiply/Divide working from left to right, 4) Add/Subtract working from left to right.

Test Objectives:

•Demonstrate a memorization of the order of operations

•Demonstrate the ability to correctly understand the order in PEMDAS

•Demonstrate the ability to correctly evaluate a problem with multiple operations

The Order of Operations Test:




#1:


Instructions: Evaluate each.


a) 6 x 2 - 2


b) 2 + 5 x 4


c) 62 - 1


d) (9 - 3) ÷ 6 + 1


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#2:


Instructions: Evaluate each.


a) 6 ÷ 3 + 2 - 1


b) (5 + 3) x 3 + 3


c) 5 x (4 x 2) ÷ (1 + 3)


d) 52 - (6 ÷ 3 + 5)


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#3:


Instructions: Evaluate each.


a) 42 - (3 + 6) - (4 - 2) + 2


b) 3(3((10 - 6) x 2) ÷ 4 + 4)


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#4:


Instructions: Evaluate each.


a) (3 + 2)2 - (102 ÷ (6 + 4) - 8)


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#5:


Instructions: Evaluate each.


a) 8 x 12 ÷ 3 x 2 + 43 + 10 - 11


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Written Solutions:




#1:


Solution:


a) 6 x 2 - 2 = 10


b) 2 + 5 x 4 = 22


c) 62 - 1 = 35


d) (9 - 3) ÷ 6 + 1 = 2


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#2:


Solution:


a) 6 ÷ 3 + 2 - 1 = 3


b) (5 + 3) x 3 + 3 = 27


c) 5 x (4 x 2) ÷ (1 + 3) = 10


d) 52 - (6 ÷ 3 + 5) = 18


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#3:


Solution:


a) 42 - (3 + 6) - (4 - 2) + 2 = 7


b) 3(3((10 - 6) x 2) ÷ 4 + 4) = 30


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#4:


Solution:


a) (3 + 2)2 - (102 ÷ (6 + 4) - 8) = 23


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#5:


Solution:


a) 8 x 12 ÷ 3 x 2 + 43 + 10 - 11 = 127


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