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) 6^{2} - 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) 5^{2} - (6 ÷ 3 + 5)
#3:
Instructions: Evaluate each.
a) 4^{2} - (3 + 6) - (4 - 2) + 2
b) 3(3((10 - 6) x 2) ÷ 4 + 4)
#4:
Instructions: Evaluate each.
a) (3 + 2)^{2} - (10^{2} ÷ (6 + 4) - 8)
#5:
Instructions: Evaluate each.
a) 8 x 12 ÷ 3 x 2 + 4^{3} + 10 - 11
Written Solutions:
Solution:
a) 6 x 2 - 2 = 10
b) 2 + 5 x 4 = 22
c) 6^{2} - 1 = 35
d) (9 - 3) ÷ 6 + 1 = 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) 5^{2} - (6 ÷ 3 + 5) = 18
Solution:
a) 4^{2} - (3 + 6) - (4 - 2) + 2 = 7
b) 3(3((10 - 6) x 2) ÷ 4 + 4) = 30
Solution:
a) (3 + 2)^{2} - (10^{2} ÷ (6 + 4) - 8) = 23
Solution:
a) 8 x 12 ÷ 3 x 2 + 4^{3} + 10 - 11 = 127