FOUNDATION → CHALLENGE
Quadratic Equations
Roots, discriminants, forms and solution structure.
SAT PRACTICE • ADVANCED MATH
Advanced Math
Nonlinear equations, quadratics, exponential models, functions, polynomials and structure. Each topic set moves from foundation to challenge and is designed for independent practice before answer review.
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FOUNDATION → CHALLENGE
Parabolas & Quadratic Models
Vertices, roots, symmetry and modeling with quadratic functions.
FOUNDATION → CHALLENGE
Exponential Models
Growth, decay, repeated percent change and interpreting exponential structure.
FOUNDATION → CHALLENGE
Nonlinear Equations & Equivalent Expressions
Equivalent forms, radicals, rational expressions and nonlinear solving.
FOUNDATION → CHALLENGE
Polynomial Division, Remainders & Factors
Remainder theorem, factor theorem and polynomial structure.
FOUNDATION → CHALLENGE
Functions: Evaluation, Composition & Structure
Function notation, composition and structural reasoning.
FOUNDATION → CHALLENGE
Function Transformations
Translations, reflections, stretches and changes to inputs or outputs.
FOUNDATION → CHALLENGE
Function Graphs & Interpretation
Features, intercepts, maxima, minima and graphical reasoning.
FOUNDATION → CHALLENGE
Advanced Function Reasoning
Multi-step function problems that combine familiar SAT ideas.
CONTENT PRINCIPLE
Practice should make the test feel easier, not merely familiar.
Work the question before looking for the answer.
The library is designed around topic recognition, method choice and mistake diagnosis rather than memorizing a fixed set of templates.