Algebraic expression questions on the PSAT/NMSQT Math section test how carefully you can distribute, combine like terms, and simplify multi-term expressions — often involving fractional coefficients or several variables at once. The exam frequently disguises a simple final answer (a clean binomial, or even a single term) behind a deliberately messy starting expression, and it tests the reverse skill too: recognizing which of several equivalent-looking expressions is actually the odd one out.
The 6 problems below cover both directions of this skill — simplifying a given expression down to its equivalent form, and identifying which answer choice does NOT match an equivalent expression. Every problem includes a complete step-by-step explanation, hidden by default so you can test yourself honestly before checking your work. For "which is NOT equivalent" questions in particular, the fastest approach is to fully simplify the original expression once, then check each answer choice against that single simplified form rather than trying to compare all four choices to each other. For unlimited additional practice, our free PSAT/NMSQT Math QBank has over 2,500 more problems across every PSAT/NMSQT Math topic, each with instant explanations.
