Problem of the Week Archive
Operation # – August 1, 2016
Problems & Solutions
For the following problems, let m # n = 2m − n.
What is the value of 14 # 8?
14 # 8 = (2)(14) − 8 = 28 − 8 = 20
If m # 6 = 42, what is the value of m?
m # 6 = 42
2m − 6 = 42
2m = 48
m = 24
What is the value of 6 # (6 # 3)?
Following the order of operations, we start by evaluating the 6 # 3 from within the parentheses first.
6 # 3 = (2)(6) − 3 = 12 − 3 = 9.
So, now we evaluate 6 # 9.
6 # 9 = (2)6 − 9 = 12 − 9 = 3.
Problem of the Week Archive
Operation # – August 1, 2016
Problems
For the following problems, let m # n = 2m − n.
What is the value of 14 # 8?
If m # 6 = 42, what is the value of m?
What is the value of 6 # (6 # 3)?