"Which Is Equivalent To..." Explained

Which answer choice matches the given equation if you were to move things around using a valid order of operations.

Key Idea: “Which Is Equivalent To…”

These questions ask you to find the expression or equation that means the same thing as the original — after simplifying or rearranging it correctly.


General Rule:

  • Use valid algebraic moves (distributive property, combining like terms, factoring, etc.).

  • Apply the order of operations (PEMDAS) correctly.

  • The correct answer is the one that is mathematically identical to the original expression.


Why this matters for the SAT:

“Equivalent” questions test your ability to simplify, rearrange, and recognize algebraic structure.
They appear often in algebra, factoring, and equation manipulation problems.