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Free SAT Study Library: Formulas, Desmos, Grammar and Worked Answers

Learn with original worked solutions, printable SAT Math formulas, Desmos walkthroughs, grammar guides and public flashcard decks.

Reviewed

The short answer

Choose a resource for the task in front of you: recall a formula, graph an equation, diagnose a grammar error or review a worked solution. Every resource below is available before signup. Start with one skill, try a problem without the solution, and then use the explanation to identify the step to improve.

On this page

Math formulas and numeric answers

Desmos, one workflow at a time

  • Linear systems: enter two equations and interpret their intersection.
  • Quadratics: distinguish zeros, vertex coordinates and the quantity asked for.
  • Regression: create a table, fit a model and check predictions.
  • Curve intersections: find all intersections and confirm them algebraically.
  • Window settings: reveal values outside the default view and select degrees or radians.

Grammar decisions with a reason

Check your reasoning, not just the final answer

Watch the short original video lessons with captions and visible transcripts, then attempt a transfer problem. The worked-solution collection includes original math and Reading and Writing problems. Each page explains the main method, a second check, tempting errors and a transfer exercise. These are teaching examples, not official SAT questions or calibrated predictions of a test score. Use official Bluebook practice (opens in a new tab) for official adaptive test practice.

Sources

  1. College Board: Fall 2026 Bluebook SAT test directions and reference sheetsatsuite.collegeboard.org
  2. College Board: Reading and Writing content domainssatsuite.collegeboard.org
  3. College Board: SAT calculator policysatsuite.collegeboard.org

Sources are linked for reference; they do not endorse PeakSAT. How we prepare our guides