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SAT Math Mastery Tracker

Every SAT Math topic in one checklist. Check off what you've mastered as you go — your progress saves automatically in this browser, so you can close the tab and pick up right where you left off.

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Heart of Algebra

Linear Equations & Inequalities

Solving One-Variable Linear Equations Solving Multi-Step Linear Equations Equations with Variables on Both Sides Linear Equations with No or Infinite Solutions Solving Linear Inequalities Compound Inequalities Absolute Value Equations Absolute Value Inequalities

Linear Functions & Graphs

Slope of a Line Slope-Intercept Form (y = mx + b) Point-Slope Form Standard Form of a Line (Ax + By = C) Graphing Linear Equations Parallel & Perpendicular Lines x-intercept & y-intercept Interpreting Slope & Intercept in Context

Systems of Equations & Inequalities

Systems of Linear Equations (Substitution) Systems of Linear Equations (Elimination) Graphing Systems of Equations Systems with No Solution / Infinite Solutions Systems of Linear Inequalities Linear Word Problems (Distance, Rate, Mixture)

Passport to Advanced Math

Quadratics

Standard Form of a Quadratic Factoring Quadratics (Simple) Factoring Quadratics (Complex / AC Method) Factoring Difference of Squares Perfect Square Trinomials Completing the Square Quadratic Formula Discriminant & Nature of Roots Vertex Form of a Quadratic Graphing Parabolas (Vertex, Axis, Intercepts) Maximum & Minimum Values Systems of Linear & Quadratic Equations

Polynomials & Rational Expressions

Adding & Subtracting Polynomials Multiplying Polynomials (FOIL & Distribution) Polynomial Long Division Remainder Theorem & Factor Theorem Zeros / Roots of Polynomials Simplifying Rational Expressions Multiplying & Dividing Rational Expressions Adding & Subtracting Rational Expressions Solving Rational Equations Undefined / Extraneous Solutions

Exponents, Radicals & Functions

Integer Exponent Rules Negative & Zero Exponents Rational (Fractional) Exponents Simplifying Radical Expressions Solving Radical Equations Function Notation f(x) Evaluating Functions Domain & Range Composite Functions f(g(x)) Inverse Functions Function Transformations (Shifts, Reflections, Stretches) Linear vs. Exponential Growth Exponential Equations & Functions Interpreting Graphs of Functions

Problem Solving & Data Analysis

Ratios, Rates & Proportions

Ratios & Proportions Unit Rates Unit Conversions (Single & Multi-Step) Scale Factors & Similar Figures Percentages (Part / Whole / Rate) Percentage Increase & Decrease Percent Change vs. Percent Error Density, Speed & Other Rates in Context

Statistics & Data Interpretation

Mean, Median, Mode, Range Weighted Average Standard Deviation & Spread Interpreting Tables & Bar Graphs Interpreting Line Graphs & Histograms Two-Way Frequency Tables Conditional Probability from Tables Scatterplots & Lines of Best Fit Positive vs. Negative Correlation Linear vs. Nonlinear Association Interpreting Slope & Intercept of Best-Fit Line Outliers & Influential Points

Probability & Sampling

Basic Probability Probability of Compound Events (AND / OR) Mutually Exclusive Events Independent vs. Dependent Events Relative Frequency & Empirical Probability Random Sampling & Survey Design Making Inferences from Sample Data Margin of Error

Geometry & Measurement

Angles & Lines

Angle Types (Acute, Right, Obtuse, Straight) Complementary & Supplementary Angles Vertical Angles Angles on Parallel Lines (Transversal) Corresponding, Alternate & Co-interior Angles

Triangles

Triangle Angle Sum Theorem Exterior Angle Theorem Pythagorean Theorem Pythagorean Triples 45-45-90 Special Right Triangle 30-60-90 Special Right Triangle Similar Triangles & Proportionality Triangle Congruence (SSS, SAS, ASA, AAS) Area of a Triangle (½ base × height) Triangle Inequality Theorem

Circles

Circumference of a Circle Area of a Circle Arc Length Sector Area Central Angles & Inscribed Angles Tangent Lines to a Circle Chord Properties Standard Equation of a Circle Completing the Square for Circle Equations

Area, Surface Area & Volume

Perimeter & Area of Rectangles, Parallelograms Area of Trapezoids Area of Composite Figures Volume of Rectangular Prism / Cube Volume of Cylinder Volume of Cone Volume of Sphere Volume of Pyramid Surface Area of 3D Solids Effect of Scaling on Area & Volume

Coordinate Geometry

Distance Formula Midpoint Formula Slope Between Two Points Equation of a Line Through Two Points Reflection of Points Across Axes Graphing Quadratics on the Coordinate Plane

Trigonometry

Sine, Cosine & Tangent Ratios (SOH-CAH-TOA) Finding Missing Sides Using Trig Ratios Finding Missing Angles (Inverse Trig) Trig Ratios in Special Right Triangles Complementary Angle Trig Identity: sin θ = cos(90°−θ) Pythagorean Identity: sin²θ + cos²θ = 1 Radian Measure & Converting Degrees ↔ Radians Unit Circle Basics (Key Angles 0°, 30°, 45°, 60°, 90°) Graphs of Sine & Cosine Functions Amplitude, Period & Frequency Phase Shift & Vertical Shift of Trig Functions Solving Right Triangles (All Sides & Angles)

Additional & Special Topics

Number Theory & Arithmetic

Properties of Integers (Even/Odd/Prime) Divisibility Rules & Factors/Multiples GCF & LCM Order of Operations (PEMDAS) Operations with Fractions & Mixed Numbers Decimal Operations & Rounding Scientific Notation

Complex Numbers

Imaginary Unit i (i² = −1) Adding & Subtracting Complex Numbers Multiplying Complex Numbers Dividing Complex Numbers (Conjugates) Complex Solutions to Quadratic Equations

Word Problems & Modelling

Setting Up Equations from Word Problems Age Problems Mixture & Concentration Problems Distance-Rate-Time Problems Work Rate Problems Direct & Inverse Variation Optimization Problems (Max/Min in Context) Interpreting Algebraic Expressions in Context

Sequences, Logic & Other Topics

Arithmetic Sequences & Series Geometric Sequences & Series Recursive Formulas Logical Reasoning & Counterexamples Venn Diagrams & Set Notation Counting Principle & Combinations

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