SAT Concept Library

The SAT tests 179 specific skills.
Here they all are.

Every concept comes with a plain-English explanation, a sample question, and targeted practice questions. Find out exactly which skills are costing you points.

Math98 concepts

Algebra

Setting Up Linear Equations from Word Problems

47+ questions· High frequency

Algebra

Slope-Intercept Form (y = mx + b)

44+ questions· High frequency

Algebra

Solving Systems of Equations by Substitution

35+ questions· High frequency

Algebra

Setting Up Systems of Equations from Word Problems

41+ questions· High frequency

Algebra

No Solution or Infinitely Many Solutions

28+ questions

Algebra

Solving Linear Inequalities

24+ questions

Algebra

Interpreting Slope as Rate of Change

36+ questions· High frequency

Advanced Math

Factoring Quadratic Trinomials

43+ questions· High frequency

Advanced Math

Solving Quadratic Equations by Factoring

45+ questions· High frequency

Advanced Math

Vertex Form of a Quadratic

38+ questions· High frequency

Advanced Math

Exponential Growth and Decay

33+ questions· High frequency

Advanced Math

Function Notation

40+ questions· High frequency

Advanced Math

Exponent Rules

37+ questions· High frequency

Problem-Solving & Data Analysis

Percent Change

39+ questions· High frequency

Problem-Solving & Data Analysis

Line of Best Fit

32+ questions· High frequency

Problem-Solving & Data Analysis

Mean (Average)

41+ questions· High frequency

Problem-Solving & Data Analysis

Effect of an Outlier on Mean, Median, and Range

25+ questions

Problem-Solving & Data Analysis

Two-Way Tables and Probability

35+ questions· High frequency

Problem-Solving & Data Analysis

Rate Problems (Speed, Distance, Time)

34+ questions· High frequency

Geometry & Trigonometry

The Pythagorean Theorem

42+ questions· High frequency

Geometry & Trigonometry

Trigonometric Ratios (SOH-CAH-TOA)

36+ questions· High frequency

Geometry & Trigonometry

Area and Circumference of a Circle

38+ questions· High frequency

Problem-Solving & Data Analysis

Ratios and Proportions

38+ questions· High frequency

Problem-Solving & Data Analysis

Unit Conversion

22+ questions

Problem-Solving & Data Analysis

Median and Mode

26+ questions

Problem-Solving & Data Analysis

Interpreting Standard Deviation

20+ questions

Advanced Math

Choosing Between Linear and Exponential Models

30+ questions· High frequency

Advanced Math

Completing the Square

28+ questions

Advanced Math

Polynomial Remainder Theorem

22+ questions

Advanced Math

Solving Radical Equations

24+ questions

Algebra

Absolute Value Equations

21+ questions

Advanced Math

The Quadratic Formula

34+ questions· High frequency

Geometry & Trigonometry

Similar Triangles and Proportional Sides

33+ questions· High frequency

Geometry & Trigonometry

Volume of Solids

25+ questions

Geometry & Trigonometry

Midpoint and Distance Formulas

20+ questions

Geometry & Trigonometry

Angle Relationships (Vertical, Supplementary, Parallel Lines)

31+ questions· High frequency

Geometry & Trigonometry

Area of Triangles and Polygons

27+ questions

Geometry & Trigonometry

Equation of a Circle in the Coordinate Plane

22+ questions

Geometry & Trigonometry

Special Right Triangles (30-60-90 and 45-45-90)

29+ questions· High frequency

Algebra

Solving Systems by Elimination

32+ questions· High frequency

Advanced Math

Function Transformations

31+ questions· High frequency

Algebra

Setting Up Inequalities from Word Problems

26+ questions

Problem-Solving & Data Analysis

Interpreting Scatterplots and Correlation

30+ questions· High frequency

Problem-Solving & Data Analysis

Sampling, Surveys, and Bias

23+ questions

Algebra

Writing a Linear Function from a Table of Values

24+ questions

Advanced Math

Domain and Range of Functions

25+ questions

Problem-Solving & Data Analysis

Basic Probability Rules

28+ questions· High frequency

Advanced Math

Operations with Complex Numbers

22+ questions

Advanced Math

Function Composition

20+ questions

Algebra

Interpreting the y-intercept in Context

35+ questions· High frequency

Algebra

Interpreting Slope in Context

37+ questions· High frequency

Algebra

Systems of Inequalities

22+ questions

Advanced Math

Systems of Nonlinear Equations

23+ questions

Advanced Math

Advanced Polynomial Factoring Techniques

30+ questions· High frequency

Geometry & Trigonometry

Circles Tangent to the X or Y Axes

18+ questions

Problem-Solving & Data Analysis

Margin of Error

15+ questions

Problem-Solving & Data Analysis

Conditional Probability (Given Information)

30+ questions· High frequency

Algebra

Finding the Vertex from Standard Form

29+ questions· High frequency

Problem-Solving & Data Analysis

Interpreting Box Plots

18+ questions

Geometry & Trigonometry

Arc Length and Sector Area

27+ questions· High frequency

Advanced Math

Fractional Exponents and Radicals

33+ questions· High frequency

Algebra

Parallel and Perpendicular Lines

36+ questions· High frequency

Algebra

Intercept Form of Quadratics

31+ questions· High frequency

Algebra

Systems of Linear Equations from Word Problems

42+ questions· High frequency

Geometry & Trigonometry

Basic Trigonometric Identities

16+ questions

Advanced Math

Polynomial Long Division and Synthetic Routes

21+ questions

Problem-Solving & Data Analysis

Estimating Standard Deviation from Graphs

17+ questions

Algebra

Infinite Solutions in Linear Systems

33+ questions· High frequency

Geometry & Trigonometry

Surface Area of 3D Figures

15+ questions

Advanced Math

Asymptotes of Rational Functions

22+ questions

Problem-Solving & Data Analysis

Understanding Percentiles

14+ questions

Algebra

Systems with Three Variables (Conceptual)

12+ questions

Algebra

Graphing Systems of Linear Inequalities

26+ questions

Advanced Math

Transformations of Functions (Stretch & Compress)

15+ questions

Algebra

Interpreting the Context of a Constant

38+ questions· High frequency

Geometry & Trigonometry

Radian and Degree Conversions

22+ questions

Geometry & Trigonometry

Right Triangle Word Problems

21+ questions

Geometry & Trigonometry

Equation of a Circle: Completing the Square

22+ questions

Geometry & Trigonometry

Congruent Triangles

16+ questions

Geometry & Trigonometry

Ratios in Similar Figures (Area & Volume)

23+ questions

Advanced Math

Using the Discriminant

28+ questions

Advanced Math

Average Rate of Change on a Curve

20+ questions

Advanced Math

Complex Exponent Rules

38+ questions· High frequency

Problem-Solving & Data Analysis

Modeling Exponential Growth

42+ questions· High frequency

Problem-Solving & Data Analysis

Permutations and Combinations

11+ questions

Problem-Solving & Data Analysis

Identifying Outliers and Their Effect on Mean/Median

36+ questions· High frequency

Problem-Solving & Data Analysis

Margin of Error vs Sample Size

25+ questions

Algebra

Interpreting the Vertex in Context

39+ questions· High frequency

Advanced Math

The Remainder Theorem in Depth

22+ questions

Algebra

Solving Radicals with Extraneous Solutions

37+ questions· High frequency

Geometry & Trigonometry

Special Right Triangles in 3D

14+ questions

Geometry & Trigonometry

Angles in Polygons

22+ questions

Problem-Solving & Data Analysis

Histograms and Frequency Tables

31+ questions· High frequency

Problem-Solving & Data Analysis

Experimental Design: Control vs Treatment

26+ questions

Advanced Math

Function Models vs Scatterplots

19+ questions

Advanced Math

Piecewise Functions

12+ questions

Algebra

Absolute Value Inequalities

20+ questions

Algebra

Interpreting the x-intercept in Context

27+ questions

Reading & Writing81 concepts

Standard English Conventions

Subject-Verb Agreement

52+ questions· High frequency

Expression of Ideas

Contrast Transition Words

38+ questions· High frequency

Information and Ideas

Main Purpose and Central Idea

44+ questions· High frequency

Information and Ideas

Finding Textual Evidence

46+ questions· High frequency

Information and Ideas

Drawing Logical Conclusions

39+ questions· High frequency

Information and Ideas

Using Data to Support or Refute a Claim

36+ questions· High frequency

Craft and Structure

Words in Context (Vocabulary)

48+ questions· High frequency

Craft and Structure

Function of a Sentence in Context

29+ questions

Standard English Conventions

Pronoun-Antecedent Agreement

44+ questions· High frequency

Standard English Conventions

Comma Splices

40+ questions· High frequency

Standard English Conventions

Parallel Structure

38+ questions· High frequency

Craft and Structure

Author's Purpose and Perspective

35+ questions· High frequency

Craft and Structure

Identifying Rhetorical Devices

24+ questions

Expression of Ideas

Logical Connectors and Transitions

42+ questions· High frequency

Expression of Ideas

Synthesizing Notes Into Effective Sentences

36+ questions· High frequency

Standard English Conventions

Semicolons and Colons

40+ questions· High frequency

Standard English Conventions

Modifier Placement (Dangling and Misplaced Modifiers)

36+ questions· High frequency

Expression of Ideas

Effective Sentence Placement in a Paragraph

28+ questions

Expression of Ideas

Conciseness and Eliminating Redundancy

38+ questions· High frequency

Standard English Conventions

Apostrophes and Possessives vs. Contractions

35+ questions· High frequency

Information and Ideas

Counterclaims and Concessions in Arguments

27+ questions

Standard English Conventions

Verb Tense Consistency

33+ questions· High frequency

Information and Ideas

Describing Research Findings Accurately

34+ questions· High frequency

Information and Ideas

Pairing Quotes with Claims (Command of Evidence)

39+ questions· High frequency

Craft and Structure

Text Structure and Organization

26+ questions

Standard English Conventions

Comparatives and Superlatives

22+ questions

Expression of Ideas

Active vs. Passive Voice

24+ questions

Standard English Conventions

Commas with Nonessential (Parenthetical) Clauses

37+ questions· High frequency

Craft and Structure

Cross-Text Connections (Paired Passages)

26+ questions

Information and Ideas

Interpreting Quantitative Information in Passages

32+ questions· High frequency

Standard English Conventions

Subject-Predicate Clarity and Sentence Fragments

29+ questions

Standard English Conventions

Dashes and Parentheses

28+ questions

Standard English Conventions

Who vs. Whom

15+ questions

Craft and Structure

Faulty (Illogical) Comparisons

20+ questions

Standard English Conventions

Identifying the Complete Subject

25+ questions

Expression of Ideas

Sentence Combining

26+ questions

Standard English Conventions

Using Colons to Introduce Lists

22+ questions

Craft and Structure

Identify Rhetorical Strategies (Irony, Understatement, Hyperbole)

16+ questions

Standard English Conventions

Indefinite Pronouns and Agreement

33+ questions· High frequency

Standard English Conventions

Conventional Expressions (Idioms & Prepositions)

26+ questions

Expression of Ideas

Logical Sequence and Ordering Sentences

20+ questions

Standard English Conventions

Subject-Verb Agreement with Intervening Phrases

41+ questions· High frequency

Standard English Conventions

Hyphens in Compound Adjectives

12+ questions

Craft and Structure

Author's Tone

24+ questions

Craft and Structure

Vocabulary: Secondary Meanings

38+ questions· High frequency

Expression of Ideas

Parallel Structure in Complex Lists

22+ questions

Standard English Conventions

Semicolons Between Independent Clauses

39+ questions· High frequency

Information and Ideas

Synthesizing Text and Data

35+ questions· High frequency

Standard English Conventions

Dangling Modifiers

34+ questions· High frequency

Expression of Ideas

Subordination and Coordination

36+ questions· High frequency

Standard English Conventions

Pronoun Ambiguity

22+ questions

Information and Ideas

Quantitative Evidence from Tables

38+ questions· High frequency

Standard English Conventions

Adjectives vs. Adverbs

20+ questions

Expression of Ideas

Cause and Effect Transitions

40+ questions· High frequency

Standard English Conventions

Punctuation with Quotations

23+ questions

Craft and Structure

Overall Passage Structure

27+ questions

Expression of Ideas

Redundancy and Wordiness

41+ questions· High frequency

Expression of Ideas

Transition Sentences Between Paragraphs

36+ questions· High frequency

Craft and Structure

Identifying Topic Sentences

22+ questions

Craft and Structure

Paired Passages: Areas of Agreement

30+ questions· High frequency

Craft and Structure

Paired Passages: Areas of Disagreement

35+ questions· High frequency

Standard English Conventions

Nonessential Clauses and Commas

43+ questions· High frequency

Information and Ideas

Identifying the Main Idea of a Chart

24+ questions

Expression of Ideas

Combining Sentences: Using Appositives

22+ questions

Standard English Conventions

Noun and Pronoun Agreement

33+ questions· High frequency

Standard English Conventions

Shifting Verb Tense within a Passage

26+ questions

Standard English Conventions

Semicolons vs. Colons in Application

45+ questions· High frequency

Expression of Ideas

Run-On Sentences / Comma Splices

47+ questions· High frequency

Craft and Structure

Tone and Formality Shifts

22+ questions

Expression of Ideas

Logical Additions to a Paragraph

39+ questions· High frequency

Craft and Structure

Words in Context: Connotation vs Denotation

29+ questions

Expression of Ideas

Parallel Structure in Compound Sentences

25+ questions

Standard English Conventions

Placement of Prepositional Phrases

21+ questions

Expression of Ideas

Faulty Subordination

34+ questions· High frequency

Expression of Ideas

Misleading Transition Words

30+ questions· High frequency

Standard English Conventions

Subject-Verb Agreement: Inverted Sentences

40+ questions· High frequency

Craft and Structure

Paired Passages: Shared Evidence

22+ questions

Information and Ideas

Synthesizing Conflicting Data

24+ questions

Expression of Ideas

Adjective Order and Phrasing

10+ questions

Standard English Conventions

Pronouns: Subjective vs Objective (Advanced)

31+ questions· High frequency

Craft and Structure

Commonly Confused Words (Affect/Effect, Than/Then)

42+ questions· High frequency

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