AP Precalculus practice

22 original lessons and 101 questions with hints and worked feedback. Practice and save progress on your own device.

Topics you can study

Polynomial and Rational Functions: Covariation, rates, and polynomial patterns; Polynomial zeros, multiplicity, and complex roots; Polynomial and rational end behavior; Rational zeros, asymptotes, and holes; Equivalent polynomial and rational forms; Function transformations and feature transfer; Polynomial and rational model construction.
Exponential and Logarithmic Functions: Arithmetic and geometric sequences; Exponential forms, transformations, and growth; Exponential data models and residual validation; Composition and inverse functions; Logarithmic expressions and function behavior; Exponential and logarithmic equations and inequalities; Logarithmic context models and semi-log displays.
Trigonometric and Polar Functions: Radians, unit-circle coordinates, and exact values; Sine, cosine, and sinusoidal transformations; Periodic phenomena and sinusoidal data models; Tangent, reciprocal trig graphs, and domain; Inverse trigonometric functions and restricted ranges; Trigonometric equations, inequalities, and identities; Polar coordinates and curve tracing; Polar rates and distance from the origin.

How practice works

Use mixed practice or focus on a chapter. Multiple-choice and numeric responses receive objective feedback. Written, graph and code responses use an analytic self-review checklist; code is not compiled and graph work is not automatically graded.

Coverage and review

Formative original practice aligned to the preparation topic map. This is an incomplete preparation beta with provisional difficulty, written self-review and no official score prediction.

Original questions and lessons have independent AI review. Human academic approval, empirical difficulty calibration and measured score improvement are not established. Our examples and questions are not official assessment items. Read the full practice scope.

What is free?

All included questions, explanations, lessons, normal practice and question reporting are free. The optional Apple Practice Toolkit adds custom controls across the courses included in that app version. The purchase does not include future courses, tutoring, AI or cloud services.

Specification sources

College Board course framework and current unit weights — specification facts checked 2026-10-02.
College Board course topic outline — specification facts checked 2026-10-02.
College Board current May 2027 exam format — specification facts checked 2026-10-02.