Order of Operations: Solving for Variables
There are priorities when using the order of operations for simplifying a system. After simplifying, reversing that order is how we suggest solving for variables.
//For insight into the priorities, read: Order of Operations: Prioritize the Acronym.
Reverse The Order Of Operations
This means, one of the first questions to ask is, do scholars need to simplify or just solve for a variable? The first step then is to look for ways to simplify using the normal order of operations. Once that is done, scholars are ready to solve for a variable, by reversing the priority list. So, priority 3 is now the first one to utilize, followed by Priority 2 and Priority 1, respectively. The process is sometimes described as operating on terms furthest away from the variable. Still, we believe that if the scholar understands to simplify first, reversing the order of operations can naturally follow.
Use Inverse Operations
Inverse operations “undo” each other. Addition is the inverse operation of subtraction (and vice versa). Given the reversal of the order of operations, this should be looked for first. With multiplication as the inverse operation of division (and vice versa), these are the next priorities to look at. Priority 1 should be the last to be considered.
Questions or Comments?
Contact our office below or by call/text at (310) 893-5551 or email at info@gladacademics.com.
