Master Every Digital SAT Knowledge Concept
Explore 30 focused concepts with visual explanations, worked examples, practice questions, videos, and related resources.
All Knowledge Concepts
30 conceptsCentral Ideas and Details
Separate what a passage is about from what it merely mentions — and answer main-idea questions without getting pulled toward tempting details.
Command of Evidence — Textual
Pick the quotation or finding that actually supports a given claim — not one that merely mentions the same topic.
Command of Evidence — Quantitative
Read tables and graphs precisely enough to complete a claim with the one data point that actually fits.
Inferences
Complete a passage's unfinished logic with the conclusion it forces — not the one that merely sounds plausible.
Words in Context
Choose the precise word a passage's logic actually demands — using the sentence's own clues instead of vocabulary memorization.
Text Structure and Purpose
Answer why an author wrote something — the passage's overall goal or one sentence's job within it.
Cross-Text Connections
Compare two short texts on the same topic and pin down exactly how the second author would respond to the first.
Rhetorical Synthesis
Use bulleted notes to build the one sentence that accomplishes a stated goal — ignoring everything the goal doesn't ask for.
Transitions
Pick the logical connector the surrounding sentences require — by classifying the relationship before reading the options.
Boundaries
Punctuate the joins between clauses with rules, not guessing — periods, semicolons, commas, and colons each have one job.
Form, Structure, and Sense
Make subjects agree with verbs, pronouns match their nouns, and modifiers attach to the right thing — even when the SAT hides the pairing.
Linear Equations in One Variable
Solve for x cleanly every time — and recognize the special cases where an equation has no solution or infinitely many.
Linear Equations in Two Variables
Read any line's slope and intercepts from any form of its equation — and build equations from points, tables, or stories.
Linear Functions
Learn how the SAT connects equations, graphs, tables, slope, and intercepts — and how to move between all four without redoing the algebra.
Systems of Two Linear Equations in Two Variables
Solve two equations at once — and know from the slopes alone whether a system has one solution, none, or infinitely many.
Linear Inequalities in One or Two Variables
Handle inequalities like equations — with one critical exception — and read shaded-region graphs with confidence.
Equivalent Expressions
Factor, expand, and rewrite expressions so the SAT's disguises — and its answer choices — stop fooling you.
Nonlinear Equations in One Variable and Systems in Two Variables
Solve quadratics by the fastest available route and find where lines meet parabolas — including when they don't.
Nonlinear Functions
Read parabolas and exponential curves the way the SAT asks: vertices, zeros, growth factors, and what each form reveals instantly.
Ratios, Rates, Proportional Relationships, and Units
Set up proportions that can't go wrong and convert units by letting the labels do the algebra.
Percentages
Move between percent of, percent change, and percent error without slipping — and undo a percent change correctly.
One-Variable Data: Distributions and Measures
Read histograms, box plots, and dot plots — and predict how outliers move the mean while the median stands still.
Two-Variable Data: Models and Scatterplots
Read association, trend lines, and residuals from real data — and know what a line of best fit can and cannot claim.
Probability and Conditional Probability
Pull probabilities out of two-way tables — especially the conditional ones where the words quietly shrink your denominator.
Inference from Sample Statistics and Margin of Error
Say exactly what a poll result with a margin of error does and doesn't mean — and what makes a sample trustworthy.
Evaluating Statistical Claims: Observational Studies and Experiments
Match every study design to the strongest conclusion it can support — and spot when a claim outruns its evidence.
Area and Volume
Use the reference-sheet formulas fluently — including backwards, and through the scaling rules the SAT loves.
Lines, Angles, and Triangles
Chain angle facts through parallel lines and triangles — and use similarity to turn one known side into all of them.
Right Triangles and Trigonometry
Move fluently between the Pythagorean theorem, SOH-CAH-TOA, and the two special triangles the SAT reuses constantly.
Circles
Work with circle equations, arcs, and sectors through one idea: every arc question is a fraction-of-the-circle question.