Built for the May 2027 exam

Learn all of AP^® Precalculus and practice in the real exam format

Polynomial, rational, exponential, logarithmic, and trig functions, built for the AP exam. Desmos is there on the calculator sections, and most of your score still comes from working by hand. Learn both, then level up with practice that feels like a game.

Full access is $39 for 6 months or $29 for 3 months, in one payment with no subscription, and you can refund it yourself within 7 days. See what's included

Try it: solve this one yourself

Easy

f(x) = \frac{2x + 1}{x - 1}

For what value of $x$ is $f(x) = 0$ ?

Desmos move: click the point where the curve crosses the x-axis on the graph to read it.

practice questions: 380; practice questions
interactive lessons: 27; interactive lessons
exam units: 3; exam units
questions in a full practice exam: 46; questions in a full practice exam

See it in action

Learn with a graph you can move

Every AP Precalculus lesson has a live Desmos graph, so you can change a value and watch the function respond.

Practice like the real exam

Answer exam-style questions and get a full solution. On no-calculator questions, Desmos stays closed unless you choose to open it after a miss.

Score your free response point by point

Work on paper as you will in May, then check your answer against the rubric, one point at a time.

Who made this

Built by a tutor who earned a 5

I'm Emmett Funston, a tutor studying electrical engineering at Northwestern University. My brother, also an EE student there, also reviewed these problems.

My AP Calculus BC score, with a 5 AB subscore: 5; My AP Calculus BC score, with a 5 AB subscore
My brother's AP Calculus BC score, with a 5 AB subscore: 5; My brother's AP Calculus BC score, with a 5 AB subscore

These are our own scores, not results from using this course. Scores vary, and we can't promise any particular score. Northwestern University isn't affiliated with this site.

Your path to exam day

Always know what to do next

Practice that feels like progress

Earn XP. Keep your streak. Unlock achievements.

Every multiple-choice question you solve on your own and every timed set moves you forward. Hints cost half the XP, so your level reflects what you can really do.

Instant feedback and a full solution
Daily streaks that reward showing up
10 achievements to collect

Level 4

Modeler

5 days

340 XP · 160 XP to level 5

First solve
On a roll
Sharpshooter
Full exam

Practice in the real exam format

About 62.5% of your score comes from parts with no calculator, so on timed exams Desmos stays off the screen for those parts, just as it will on exam day.

Part	Questions	Time	Calculator	Score
Section I, Part A	29 multiple choice	65 min	No	43.75%
Section I, Part B	13 multiple choice	40 min	Yes	18.75%
Section II, Part A	2 free response	35 min	Yes	18.75%
Section II, Part B	2 free response	35 min	No	18.75%

Free-response answers are handwritten on the exam. Here you work on paper, then score yourself point by point against a rubric.

Every unit on the exam

349 multiple-choice and 31 free-response questions, from easy to hard, each with a full solution. Unit 4 isn't on the AP exam, so it isn't covered here.

Unit 1: Polynomial and Rational Functions

30–40% of multiple choice

Change in tandem and rates of change
Rates of change in linear and quadratic functions
Polynomial functions and rates of change
Polynomial zeros, multiplicity, and complex zeros
End behavior of polynomial and rational functions
Zeros of rational functions and rational inequalities
Vertical asymptotes and holes
Equivalent forms of polynomial and rational expressions
Transformations of functions
Choosing, building, and using function models

Unit 2: Exponential and Logarithmic Functions

25–40% of multiple choice

Sequences, linear functions, and exponential functions
Exponential functions and their equivalent forms
Exponential models, regression, and residuals
Composition and inverse functions
Logarithms and inverses of exponential functions
Logarithmic functions and their properties
Exponential and logarithmic equations and inequalities
Logarithmic models and semi-log plots

Unit 3: Trigonometric and Polar Functions

30–35% of multiple choice

Periodic phenomena and the unit circle
Graphs of sine and cosine
Transformations of sinusoidal functions
Sinusoidal models of periodic contexts
The tangent function
Inverse trig functions and trig equations
Reciprocal functions and trigonometric identities
Polar coordinates and polar graphs
Rates of change in polar functions

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Ready to start Unit 1?

Start with the first lesson: a short read and a live example.