Digital SAT practice by topic

Pick a skill to see the key ideas, the traps that cost points, and sample questions, then practice it free.

Math: Algebra

• Linear equations — Solve and set up equations with one variable.
• Linear functions and graphs — Slope, intercepts, parallel and perpendicular lines, function notation.
• Linear models and rates — Interpret slope and intercept in context; rate and mixture problems.
• Linear inequalities — Solve, graph and interpret inequalities.
• Systems of linear equations — Solve two equations in two variables; one, none or infinitely many solutions.
• Absolute value — Distance from zero in equations and inequalities.

Math: Advanced Math

• Quadratic equations — Factoring, the quadratic formula, completing the square, roots.
• Discriminant and number of solutions — Use b^2 - 4ac to count real solutions.
• Parabolas and quadratic graphs — Vertex, axis of symmetry and the three quadratic forms.
• Polynomials and zeros — Factors, remainders, zeros and polynomial identities.
• Exponent rules — Product, quotient, power and rational exponent rules.
• Exponential functions and models — Growth, decay, percent change over time.
• Radical and rational equations — Solve with radicals and fractions; check for extraneous solutions.
• Nonlinear systems — A line with a parabola or circle; counting intersections.
• Function transformations and notation — Shifts, reflections, composition, piecewise and symmetry.

Math: Geometry & Trigonometry

• Triangles, similarity and polygons — Angle sums, similar triangles, polygon angles.
• Right triangles and the Pythagorean theorem — Pythagorean theorem, special right triangles.
• Right-triangle trigonometry — Sine, cosine, tangent, complementary angles, radians.
• Circles: arcs, sectors and angles — Arc length, sector area, inscribed and central angles.
• Circle equations — Standard form, center and radius, completing the square.
• Area, volume and scale factors — Common volume formulas and how scaling changes area and volume.

Math: Problem-Solving & Data Analysis

• Ratios, rates and proportions — Set up and solve proportional relationships.
• Unit conversion — Chain conversion factors and track units.
• Percents and percent change — Percent of, percent change, successive changes.
• Mean, median and spread — Measures of center and spread; effect of outliers.
• Probability — Simple, compound and geometric probability.
• Two-way tables and conditional probability — Read conditional probabilities from a table.
• Scatterplots and lines of best fit — Trends, predictions and interpreting slope.
• Reading graphs and tables — Extract and compare data from bar graphs and tables.
• Study design and inference — Sampling, margin of error and what a study can conclude.

Reading & Writing: Craft & Structure

• Words in context — Choose the word whose meaning fits the sentence evidence.
• Text structure and purpose — What a sentence or passage does, and why the author wrote it.
• Cross-text connections — Compare how two texts relate.

Reading & Writing: Information & Ideas

• Central ideas and details — Main idea versus supporting detail.
• Inferences — Complete the logic the text supports.
• Command of evidence — Pick the evidence that supports or weakens a claim, including data.

Reading & Writing: Expression of Ideas

• Transitions — Pick the word that matches the logical relationship.
• Rhetorical synthesis — Choose the sentence that best achieves a stated goal using the notes.

Reading & Writing: Standard English Conventions

• Clauses and phrases — The building blocks every boundary and agreement question depends on.
• Sentence fragments — Spot and repair incomplete sentences.
• Run-ons and comma splices — Two independent clauses that are joined incorrectly.
• Joining clauses: semicolons and conjunctions — Legal ways to connect two independent clauses.
• Colons — When a colon is allowed and what it introduces.
• Dashes and parentheses — Paired and single dashes and parentheses.
• Commas: lists and introductory elements — Series, introductory phrases and coordinate adjectives.
• Essential and nonessential elements — Appositives and clauses that add extra versus necessary information.
• Unnecessary commas — Commas that break required connections.
• Subject-verb agreement basics — Find the real subject and match the verb.
• Subject-verb agreement: special subjects — Compound, collective, and indefinite subjects.
• Verb tense and consistency — Choose the tense the time clues require.
• Verb forms, voice and mood — Past vs past participle, finite vs non-finite, active vs passive, subjunctive.
• Pronoun-antecedent agreement and clarity — A pronoun must match its noun and point clearly to it.
• Pronoun case: who, whom and others — Subject, object and reflexive pronouns.
• Possessives and apostrophes — Apostrophes for possession versus contractions and plurals.
• Nouns: number and quantity words — Countable versus noncountable nouns and consistent number.
• Modifiers: misplaced and dangling — Make each modifier describe the right word.
• Parallel structure — Items in a series or comparison share a form.
• Comparisons — Comparative and superlative forms and logical comparisons.
• Relative pronouns and clauses — who, whom, whose, which, that, where and when.
• Conjunctions and logical connectors — Choose the connector that fits the relationship without doubling it.
• Commonly confused words — Look-alike words that change meaning (lower frequency, high precision).