Equivalent Expressions: SAT Practice Questions

116 official Equivalent Expressions questions (Advanced Math) from the SAT Suite Question Bank. Pick any question from the list, or start with Question 1. Every question shows the answer and a full explanation, with step-by-step Desmos solutions available for most questions. It is free, and no account is needed.

Start with Question 1

What does Equivalent Expressions test on the SAT?

Equivalent Expressions questions test whether algebraic forms represent the same quantity for every allowed input. Factoring, expanding, exponent rules, and rational expressions are central.

Common question types

Factor or expand a polynomial
Rewrite an expression to reveal a requested feature
Match an expression to an equivalent form

Common traps

Applying an exponent across addition
Canceling terms instead of common factors
Stopping at a true rewrite that does not reveal the requested value

Difficulty distribution

Start with the easier questions, then work toward the highest score bands.

Easy: 43
Medium: 39
Hard: 34
Extreme: 0

Start here

FoundationQuestion 3Easy SAT question IntermediateQuestion 83Medium SAT question ChallengeQuestion 116Hard SAT question

How do I improve at Equivalent Expressions?

1Identify the target form before manipulating the expression.
2Factor completely before canceling.
3Check equivalence with expansion or two safe test values.

Desmos method

Graph y = original expression and y = proposed expression. If the graphs coincide across their shared domain, the forms are equivalent; use a difference expression to verify that it equals zero.

All 116 official questions

In the same order as the list on the left. Each one opens in practice mode.