This resource has been contributed by Winpossible, and can also be accessed on their website by clicking here - Identify mistakes in order of operations
It explains how to identify mistakes in the order of operations in a multi-step derivation. Using examples, it explains that we have to follow the order of operations PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction). Simply put, when we have to simplify any expression, we should first perform any calculations inside parentheses, and then perform all multiplication and division operations working from left to right, and lastly perform all addition and subtraction from left to right.
For example, when we solve the equation 3(x + 5) = 2x + 35, the steps are:
- Step 1 3x + 15 = 2x + 35
- Step 2 5x + 15 = 35
- Step 3 5x = 20
- Step 4 x = 4
If you look at the solution, the first incorrect step is step 2.
This FREE mini-lesson is a part of Winpossible's online course that covers all topics within Algebra I. Click on the video below to go through it. If you like it, you can buy our online course in Algebra I by clicking here.