About 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
Order of Operations Practice Test:

#1:

Instructions: Evaluate each.

a) 6 x 2 - 2

b) 2 + 5 x 4

c) 62 - 1

d) (9 - 3) ÷ 6 + 1


#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)


#3:

Instructions: Evaluate each.

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

b) 3(3((10 - 6) x 2) ÷ 4 + 4)


#4:

Instructions: Evaluate each.

a) (3 + 2)2 - (102 ÷ (6 + 4) - 8)


#5:

Instructions: Evaluate each.

a) 8 x 12 ÷ 3 x 2 + 43 + 10 - 11


Written Solutions:

#1:

Solutions:

a) 6 x 2 - 2 = 10

b) 2 + 5 x 4 = 22

c) 62 - 1 = 35

d) (9 - 3) ÷ 6 + 1 = 2


#2:

Solutions:

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


#3:

Solutions:

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

b) 3(3((10 - 6) x 2) ÷ 4 + 4) = 30


#4:

Solutions:

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


#5:

Solutions:

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