Library

Books, guides and lessons

Guides by SAT topic, free official tools, and every lesson on the Hub.

Guides by topic

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Free books and official tools

Only free and legal sources are listed. Good SAT books are copyrighted, so they cannot be copied here.

Lessons

Central Ideas and Details

Finding the main point of a text and the facts that support it.

Inferences

Completing a text with the conclusion that the evidence supports.

Command of Evidence

Choosing the quote, or the data in a table or graph, that supports or weakens a claim.

Words in Context

Choosing the word that fits the meaning and tone of a sentence.

Text Structure and Purpose

Seeing why an author wrote a passage, or a part of it, and how it is built.

Cross-Text Connections

Seeing how two short texts relate: agree, disagree or respond to each other.

Rhetorical Synthesis

Using a list of notes to write a sentence that meets a stated goal.

Transitions

Choosing the word or phrase that links two ideas logically.

Boundaries

Punctuation that joins or separates sentences and parts of sentences.

Form, Structure, and Sense

Verb tense, subject–verb agreement, pronouns, plurals and modifiers.

Linear equations in one variable

Solving equations with one unknown, including no solution and infinitely many.

Linear functions

Slope, intercepts and what each number means in a real situation.

Linear equations in two variables

Writing and reading equations of lines with x and y.

Systems of two linear equations

Finding where two lines meet, or how many solutions they have.

Linear inequalities

Solving and graphing inequalities in one or two variables.

Nonlinear functions

Quadratic, exponential and other curves: reading and building them.

Nonlinear equations and systems

Solving equations with squares, and lines meeting curves.

Equivalent expressions

Rewriting an expression in a different but equal form.

Ratios, rates and units

Proportions, speed, density and converting units.

Proportions

One amount in a steady ratio is multiplied, and the other must be multiplied by the same number.

Rates and speed

A rate that tells how much for exactly one unit, like RWF per kilogram.

Unit conversion

One given fact changes the unit once.

Percentages

Percent of, percent change and combined percents.

One-variable data

Mean, median, range and spread of a data set.

Two-variable data

Scatterplots and lines of best fit.

Probability

The chance of events, including conditional probability from tables.

Inference from samples

What a sample can and cannot tell us, and margin of error.

Evaluating statistical claims

Judging whether a study supports its conclusion.

Area and volume

Formulas for shapes and solids.

Lines, angles and triangles

Angle rules, similar and congruent triangles.

Right triangles and trigonometry

Pythagoras, special triangles, sine, cosine and tangent.

Circles

Arcs, sectors, radius and the circle equation.