Digital SAT math coverage: Brilliant lesson mapping by testing point

This page maps the content of the digital SAT Math section to the Brilliant lessons that teach it. The College Board organizes the Math section into four content domains, each covering a handful of skill/knowledge testing points; those testing points are the rows below. Search by testing point or skill to find the closest match. A testing point is listed only where Brilliant content fully or in part addresses it directly.

The College Board does not publish reference codes for these testing points, so the codes shown here (ALG.1, PSDA.2, and so on) are Brilliant's own shorthand: the domain's abbreviation followed by the testing point's position in the College Board's ordering of that domain.

Algebra

SAT testing point	What the testing point asks	Brilliant targeted skill
ALG.1	Linear equations in one variable. Create, solve, and interpret linear equations in a single variable, including equations requiring the student to build the equation from a described situation, and reason about the number of solutions.	Linear Equations — Classifying equations by solutions, Combining fractional terms, Combining groups of expressions, Combining like terms to solve, Combining negatives to solve, Finding missing values with negatives, Finding unknown values, Interpret a linear solution in context, Modeling with linear equations, Recognizing equations with many solutions, Recognizing equations with no solution, Solving equations by distributing, Solving equations by factoring, Solving equations with fractions, Solving equations with parentheses, Solving for negative answers, Solving two-step equations, Solving with reciprocals, Solving with subtracted variables, Solving with variables on both sides, Working with negative coefficients Solving Equations — Combining terms in equations, Finding unknown values, Identifying equation results, Reasoning with grouped expressions, Solving after combining, Solving grouped equations, Solving one-step equations, Writing balanced equations, Writing equations from scales, Writing grouped equations
ALG.2	Linear equations in two variables. Create, solve, and interpret linear equations in two variables; make connections between an algebraic representation and its graph in the xy-plane; interpret a solution, constant, variable, factor, or term in context; and reason about slope and intercepts.	Visual Algebra — Building expressions from rate and start, Comparing pattern growth rates, Describing steady growth, Finding counts at faraway steps, Identifying what each step adds, Writing expressions for each shape, Writing rules for growing patterns, Writing separate even and odd rules Linear Relationships — Calculating rates of change, Computing slope, Extending linear patterns, Find the input that reaches a target value, Finding constant change, Finding starting values, Graphing from point-slope form, Graphing lines from intercepts, Graphing lines from slope, Graphing real-world relationships, Interpreting intercepts, Slopes of horizontal and vertical lines, Writing point-slope equations, Writing slope-intercept equations, Writing standard form equations Proportional Reasoning — Comparing proportional graphs, Graphing proportional relationships, Writing proportional equations Coordinate Plane — Plotting horizontal and vertical lines Real-World Algebra — Writing formulas with variables
ALG.3	Linear functions. Evaluate a linear function at a given input, interpret the graph of a linear function in terms of a context, and create and use linear functions to model relationships.	Linear Relationships — Classify a relationship as linear and proportional, Evaluating linear equations, Reading linear patterns, Recognizing linear relationships Introduction to Functions — Following function rules, Identifying function rules, Matching input-output pairs, Writing numeric function rules
ALG.4	Systems of two linear equations in two variables. Create and use a system of two linear equations in two variables; solve such systems by substitution, elimination, and graphing; and determine the conditions under which a system has one, no, or infinitely many solutions.	Solving Equations — Chaining reasoning across equations, Choosing what to substitute, Multiplying to eliminate, Setting up elimination, Solving by subtracting equations, Solving systems by combining, Solving systems by substitution, Solving with substitution, Substituting known values Linear Systems — Counting solutions to a system, Eliminating by adding equations, Finding solutions by graphing, Interpret the solution of a system in context, Scaling equations to eliminate, Set up a system from a scenario, Solving systems by graphing, Testing points in equations, Writing equations from constraints
ALG.5	Linear inequalities in one or two variables. Create, solve, and interpret linear inequalities and systems of linear inequalities; for a linear inequality, interpret a point in the xy-plane as a solution or non-solution, and interpret the shaded solution region.	Linear Systems — Checking points in inequalities, Classifying inequality solutions, Graphing inequality constraints, Graphing inequality solutions, Identifying inequality solutions, Writing inequality systems Solving Equations — Checking value constraints, Determining inequality direction, Distinguishing inequality types, Finding inequality solutions, Finding value ranges, Graphing inequalities, Solving for boundary values, Translating words to inequalities, Writing inequalities from scales Coordinate Plane — Combining two inequalities, Identifying strip regions, Reading solid and dashed boundaries, Shading regions for inequalities Linear Equations — Comparing deals with percentages, Dividing by negatives in inequalities, Graphing compound inequalities, Identifying inequality solutions, Solving compound inequalities, Solving multi-step inequalities, Solving multi-step negative inequalities, Solving one-step inequalities, Writing compound inequalities Linear Relationships — Graphing linear inequalities, Identifying inequality solutions, Writing linear inequalities

Advanced Math

SAT testing point	What the testing point asks	Brilliant targeted skill
ADV.1	Equivalent expressions. Rewrite algebraic expressions in equivalent forms and make strategic use of structure: combining like terms, factoring, expanding, operating on polynomial expressions, rewriting rational expressions, and applying the rules of exponents and radicals.	Exponents and Radicals — Adding and subtracting like square roots, Applying the power rule for exponents, Applying the product rule for exponents, Applying the quotient rule for exponents, Combining exponent rules to simplify, Connecting fractional exponents to radicals, Dividing with prime factorizations, Estimating with scientific notation, Evaluating general fractional exponents, Evaluating unit fraction exponents, Evaluating zero-exponent expressions, Expressing numbers in scientific notation, Multiplying and dividing in scientific notation, Multiplying square root expressions, Multiplying with prime factorizations, Rewriting with negative exponents, Simplifying and combining unlike radicals, Simplifying multi-base quotients, Simplifying negative exponents in denominators, Simplifying products with exponent zero, Simplifying with negative exponents Polynomials — Adding polynomials, Factoring out monomials, Factoring power differences, Multiplying monomials, Multiplying polynomials, Subtracting polynomials, Working with multivariable polynomials Equations and Curves — Adding rational expressions, Evaluating roots and inverse compositions, Rewriting equivalent equations, Simplifying by factoring, Simplifying fractional exponents, Simplifying rational expressions, Simplifying with exponent rules, Simplifying with exponent rules Visual Algebra — Breaking patterns into parts, Combining pattern expressions, Identifying equivalent expressions, Seeing squares inside patterns, Writing equivalent expressions Solving Equations — Combining like terms, Distributing over a sum, Distributing over groups, Factoring common factors, Factoring into groups Quadratics — Combining like terms, Combining signed terms, Combining terms with coefficients, Completing factors with negatives, Completing partial factorizations, Completing the square, Determining signs in products, Expanding binomial products, Factoring signed quadratics fully, Factoring simple quadratics, Factoring with leading coefficients, Factoring with negative constants, Finding constant terms, Finding linear terms, Multiplying with area models, Multiplying with negative numbers, Recognizing perfect square patterns Linear Equations — Combining terms with decimals, Finding the greatest common factor, Writing and simplifying expressions Coordinate Geometry — Identifying equivalent area expressions
ADV.2	Nonlinear equations in one variable and systems of equations in two variables. Solve nonlinear equations in one variable — quadratic, exponential, polynomial, rational, radical, and absolute value — and solve systems of two equations in two variables in which at least one equation is nonlinear; determine the conditions under which a quadratic equation has a given number of real solutions.	Equations and Curves — Building equations from intersections, Controlling the number of intersections, Evaluating square roots of squares, Finding intersection points, Solving systems and unions of curves Negative Numbers — Calculating absolute value of sums, Finding numbers at a given distance, Solving absolute value conditions Quadratics — Checking solutions by substitution, Classifying solution types, Completing squares with fractions, Determining number of solutions, Isolating squared variables, Predicting whether a target is reached, Reading solutions from graphs, Solving by completing the square, Solving equations by factoring, Solving shifted square equations, Solving with square roots, Using the discriminant, Using the quadratic formula Polynomials — Factoring biquadratic polynomials, Solving by factoring Logarithms — Find the exponent in an exponential equation, Solve exponential equations with logarithms
ADV.3	Nonlinear functions. Evaluate, interpret, create, and use nonlinear functions — quadratic, exponential, polynomial, rational, radical, absolute value, and piecewise; determine the most suitable form of a function to display its key features; make connections between algebraic representations and a graph; and use quadratic or exponential functions to model relationships, including growth and decay.	Equations and Curves — Analyzing implicit equations, Applying reflections and equivalent stretches, Applying shifts and stretches, Combining multiple transformations, Completing hyperbola equations, Connecting transformations to domain and range, Determining domain and range, Evaluating equations at points, Evaluating squaring and square roots, Finding domain and range after transformations, Finding equation parameters, Finding points on a curve, Finding vertical asymptotes, Graphing the square root function, Identifying discontinuities and sign regions, Identifying power function graphs, Identifying transformed graphs, Locating asymptotes, Matching equations to graphs, Matching rational functions to graphs, Reading intervals from hyperbolas, Reading values from graphs, Shifting the square root graph, Stretching and reflecting root graphs, Transforming hyperbola graphs, Transforming the square root graph, Verifying points on curves, Writing transformations from constraints Polynomials — Applying parity properties, Applying single transformations, Classifying even and odd powers, Combining transformations, Comparing power functions, Connecting roots and factors, Deducing roots from symmetry, Determining sign between roots, Evaluating polynomials, Evaluating power functions, Finding roots from graphs, Finding the y-intercept, Identifying dominant terms, Identifying sign regions, Identifying transformed features, Matching equations to graphs, Matching graphs to factored form, Reading polynomial graphs, Recognizing polynomial symmetry, Relating roots and degree, Using power function symmetry Exponential Functions — Build a decay function with a fractional base, Build a shifted exponential from its graph, Build an exponential function from non-integer points, Build an exponential function from plotted points, Build an exponential function over negative domain, Classify a relationship as linear or exponential, Compare exponential growth to linear growth, Compare exponential growth to quadratic growth, Compare two exponential functions, Deduce an exponential function from two points, Evaluate an exponential at negative x-values, Evaluate an exponential at non-integer x-values, Evaluate an exponential expression, Express decay with a negative exponent, Find the base of an exponential function, Graph and compare compound interest functions, Identify exponential decay from a dot pattern, Identify exponential growth from a dot pattern, Set the coefficient of an exponential function, Write a compound growth or decay expression, Write a function for a growth or decay scenario, Write a shifted exponential for a scenario approaching a limit Visual Algebra — Building sequences from rules, Describing exponential growth, Describing growth that speeds up, Finding counts when growth speeds up, Identifying types of growth, Writing exponential expressions, Writing expressions as length times width Introduction to Functions — Combining reflections and stretches, Finding function domains, Finding function ranges, Following conditional rules, Identifying conditional rules, Identifying function intervals, Plotting conditional functions, Plotting numeric functions, Reading continuous function graphs, Reading discontinuous function graphs, Reflecting functions across axes, Sliding Function Graphs, Stretching Function Graphs Quadratics — Connecting intercepts to factors, Converting to vertex form, Evaluating quadratic equations, Finding maximum and minimum values, Finding the axis of symmetry, Finding the best possible value, Finding the vertex, Finding vertices using symmetry, Finding when objects arrive, Graphing by factoring, Graphing parabolas from vertex form, Interpreting results in context, Plotting points on parabolas, Understanding motion equations, Writing equations for motion, Writing equations for real situations, Writing equations from graphs, Writing vertex form equations

Problem-Solving and Data Analysis

SAT testing point	What the testing point asks	Brilliant targeted skill
PSDA.1	Ratios, rates, proportional relationships, and units. Apply quantitative reasoning about ratios, rates, and proportional relationships; understand and apply unit rate; convert units and solve problems involving derived units such as density, speed, and price per unit.	Proportional Reasoning — Adjusting ratios in mixtures, Checking for proportionality, Comparing ratios with unit rates, Comparing unit prices, Finding the scale factor, Finding totals from ratios, Finding unit rates, Identifying equivalent ratios, Relating totals, rates, and amounts, Scaling by a given factor, Scaling recipes to a target, Scaling with non-whole numbers, Simplifying ratios, Writing equivalent ratios Exploring Data Visually — Create a new column from existing columns, Creating new data columns Regression — Rescaling for a change of units Real-World Algebra — Scaling prices, Using a formula
PSDA.2	Percentages. Use percentages to solve problems, including percent of a quantity, percent increase and decrease, and percent relationships expressed in context.	Percents — Calculating a percentage of a number, Calculating compound percent changes, Comparing split and single changes, Computing repeated percent growth, Converting percentages to fractions, Finding the percentage from two numbers, Reversing a percentage calculation, Showing percent increases and decreases, Visualizing compound percent changes, Visualizing percentages on bars, Writing compound change expressions, Writing percent change expressions Real-World Algebra — Finding a percent of an amount Linear Equations — Writing percent change expressions
PSDA.3	One-variable data: distributions and measures of center and spread. Analyze and interpret distributions of one quantitative variable; calculate, compare, and interpret mean, median, and range; compare distributions with the same and with different standard deviations; and read one-variable displays.	Everyday Statistics — Combining groups to find the mean, Comparing data above and below the mean, Comparing data sets with box plots, Comparing mean, median, and mode, Finding the mean (the average) of a data set, Finding the mean of uneven data, Finding the median, Finding totals from the mean, Matching data to box plots, Predicting how new data shifts the mean, Reading box plots, Seeing how outliers affect the mean, Spotting outliers, Updating the mean with new data, Updating the median with new data Exploring Data Visually — Compare boxplots across datasets, Find frequencies and percentiles from a histogram, Find percents of a whole from a pie chart, Group a data table to summarize categories, Read and compare bars on a bar chart, Read median, quartiles, and extremes from a boxplot, Reading and comparing bar charts, Reading histograms, Reading pie charts Predicting with Probability — Comparing a group to everyone
PSDA.4	Two-variable data: models and scatterplots. Analyze and interpret data in a scatterplot; fit models to data, including linear, quadratic, and exponential models; use a line or curve of best fit to make predictions; and compare linear and exponential growth.	Regression — Checking the groups inside data, Choosing a model for curved data, Choosing the best predictor, Detecting hidden groups in data, Fitting a line to data, Interpreting correlations in context, Measuring how well a model fits, Modeling one subgroup at a time, Predicting from a model equation, Predicting from a regression line, Reading correlation from a scatter plot, Spotting nonlinear relationships, Transforming variables to straighten data, Tuning a model to fit better Exploring Data Visually — Describe the relationship in a scatter plot, Describing how two things relate, Identify and extend a trend on a line graph, Judging how strongly things relate, Read coordinates of points on a scatter plot, Reading scatter plots, Spotting trends over time Linear Relationships — Fit a line to data and predict Proportional Reasoning — Predicting with a proportional model
PSDA.5	Probability and conditional probability. Use various representations of data — including two-way tables — to find relative frequency, probability, and conditional probability.	Probability in Data — Adding probabilities of separate outcomes, Combining probabilities across cases, Combining probabilities with a formula, Estimating chances without data, Estimating probabilities from past data, Finding conditional probabilities from data, Finding probabilities of multi-step outcomes, Finding probability of two related events, Judging how often a rule fails, Updating probabilities with new evidence Predicting with Probability — Applying Bayes' theorem, Combining cases into one probability Probability and Chance — Calculating probability, Changing probability by removing options, Comparing the likelihood of outcomes, Finding probability given a condition, Finding probability of two unrelated events, Finding the probability of both events, Finding the probability of either event, Finding the probability something won't happen

Geometry and Trigonometry

SAT testing point	What the testing point asks	Brilliant targeted skill
GEO.1	Area and volume. Solve problems using area and volume formulas for two- and three-dimensional figures, including composite figures and problems in context.	Coordinate Geometry — Calculating rectangle area, Calculating right triangle area, Finding compound shape area, Writing area expressions with variables Geometry and Measurement — Compare volumes by slicing and rearranging, Find and compare perimeters of figures, Find circumference from radius or diameter, Find surface area by adding face areas, Find surface area from base area and perimeter, Find volume as area of the base times height, Use the one-third relationship for pyramids and cones
GEO.2	Lines, angles, and triangles. Use properties of lines, angles, and triangles to solve problems, including angle relationships formed by parallel lines and a transversal, triangle angle and side relationships, and concepts of congruence and similarity of triangles.	Geometry and Measurement — Compare angle measures in a diagram, Find a regular polygon's exterior and interior angles, Find the interior angle sum of a polygon, Find the scale factor and unknown lengths, Find unknown angles around a point or on a line, Find unknown angles made by lines and in triangles, Match corresponding angles in similar shapes, Relate areas of similar shapes using scale factor, Write an equation relating labeled angles Linear Relationships — Finding perpendicular slopes, Writing parallel line equations, Writing perpendicular line equations
GEO.3	Right triangles and trigonometry. Use the Pythagorean theorem and right-triangle relationships to solve problems; apply special right triangles; and use sine, cosine, and tangent ratios, including the relationship between the sine and cosine of complementary angles.	Trigonometric Functions — Applying complementary angle relationships, Evaluating tangent at an angle, Evaluating trig values at key angles, Finding special right triangle sides, Using the Pythagorean identity Coordinate Geometry — Applying the Pythagorean theorem to areas, Calculating distance from coordinates, Finding side lengths with the Pythagorean theorem Clustering & Classification — Finding distance with several variables
GEO.4	Circles. Use definitions, properties, and theorems relating to circles to solve problems, including arc length, sector area, central and inscribed angles, radians as an angle measure, and the equation of a circle in the xy-plane.	Coordinate Geometry — Calculating a circle's radius, Plotting shifted circles, Using the circle equation at the origin, Using the general circle equation Trigonometric Functions — Computing arc length, Constructing angles in radians, Constructing unit circle arcs, Converting degrees and radians Polar Coordinate Plane — Computing arc lengths from angles, Computing arc lengths from fractions, Finding angles from arc lengths Equations and Curves — Writing circle and ellipse equations

How this page is built

Every skill in Brilliant's math skill hierarchy is mapped to the single testing point it aligns with most closely, using the College Board's published content specification for the digital SAT Math section, as set out in The Digital SAT Suite of Assessments Specifications Overview and the Assessment Framework for the Digital SAT Suite as the authority for what each testing point requires and where its boundaries fall. Skills that build toward a testing point without teaching its stated content are excluded, so a skill appears here only where it addresses the testing point directly.

Each skill links to a lesson where it is practiced, and hovering a skill shows the description learners see for it. This page is regenerated from the mapping, so it reflects the current state rather than a fixed snapshot.