AP® Precalculus · free to start 2027 exam

AP®Precalculus

AP® Precalculus, every function in motion.

see every function move

Each topic taught from scratch for the May 2027 exam, with the algebra you need placed right before it, then practice that grades typed answers by value and the four free-response questions drilled part by part.

Start the first lessonAll units

Function lab →

  • Every notes page free
  • Unit 1 lessons free
  • Unit sheets free to print
  • Progress saved on your device

Made by Olivier Testa, an EMT who passed the NREMT studying with LevlPrep. Why I built it

In this course

Each unit's share of the exam, from the course framework. Every notes page is free; the lessons in Unit 1 are free too. The units in framework order, then the algebra you need: functions and intervals, lines, quadratics, polynomial algebra, complex numbers, rational expressions, systems, exponents, right-triangle trigonometry and special triangles, each placed just before the topic that first needs it. Pick a unit to open its lessons and practice.

  1. 01Polynomial and Rational Functions14 topics30 to 40%lessons free
  2. 02Exponential and Logarithmic Functions15 topics25 to 40%of the exam
  3. 03Trigonometric and Polar Functions15 topics30 to 35%of the exam
  4. 04Functions Involving Parameters, Vectors, and Matrices14 topicsBeyond the examof the exam
  5. S1Algebra you need11 topics, a skills trackSkillsalongside the units
AP® Precalculus · Rates of Change

try one, it’s free

W(t)W(t) is a puppy's weight in pounds tt weeks after birth. What are the units of the average rate of change of WW on [4,8][4, 8]?

Choose one answer

pick one to see why

Answer: Pounds per week. W(8)−W(4)8−4\frac{W(8) - W(4)}{8 - 4} is pounds divided by weeks: pounds per week.

Open the free lesson on rates of change →

42 questions multiple choice · 105 minutes4 free response written answers · 70 minutes1,046 questions every option explainedFull length both sections, timed, one free

Function Explorer

Level 1 · 0 XP · 0 / 100 XP to Level 2. One level and one streak count across every LevlPrep course.

Units0%Algebra you need0%
Start here

Functions, Graphs and Notation

Skills · Algebra you need. Unit 1 lessons and every notes page are free.

Start the first lesson
Review queue

Missed questions come back

Anything you miss returns when you are about to forget it, not on a fixed date.

Open review →
Today’s goal

A little every day

Questions, cards and tool steps count toward a daily goal and a streak shared across every LevlPrep subject. 15 practice questions a day are free.

Practice now →

The lead

Open the notesFree forever A free notes page for every topic, in framework order, with a printable sheet for each unit and a glossary of every term.FlashcardsCram kitMake it specificGlossary

How this course works

1

Learn a topic from scratch

Start with functions, graphs and notation: a lesson that checks what you need first, then walks it one step at a time. Start the first lesson →

2

Practice what you learned

Drill a unit, a topic or a mathematical practice, with graph and table sets. 15 a day are free. Practice now →

3

Sit a practice exam

Unit tests and full timed practice exams in the May 2027 four-part format. See the exams →

4free response questions on the examTry a free responseSection IIAll four free-response types, with 6-point rubrics and sample answers. Unit tests and full timed practice exams in the May 2027 four-part format.

Tools

Function labFreeDrag the parameters; graph, table and formula move together.Rate of changeFreeSecant slopes over equal intervals, and what concavity says.Polynomials and rationalsPremiumZeros, holes, asymptotes and end behavior from the factors.

All 9 tools →

Free

Everything to start

Start now, with no card.

Every notes page is free, and so are the lessons in Unit 1 and the algebra chapter. 15 practice questions a day are free too.

  • Every notes page, the glossary, the flashcards and the printable unit sheets
  • The formulas and identities to know, and the cram-kit study plan outline
  • Every lesson in Unit 1, and every "Algebra you need" lesson
  • 15 practice or review questions a day from any unit
  • One full practice exam
  • Three trainers: the function lab, rate of change and the unit circle
Start the first lesson
Premium · AP® Precalculus

$17.50

Founding price, $25 from February 1, 2027. One pass, good through 30 June 2027, the end of the exam season.

  • Every interactive lesson
  • Unlimited practice and review from the whole question bank
  • Every trainer: polynomials and rationals, exponentials and logs, regression, sinusoids, symbolic steps, polar graphs, vectors and matrices
  • All free-response questions, unit tests and practice exams
  • The cram kit: a study plan fitted to your weakest units, and timed mixed sets
  • The full dashboard: mastery by unit, topic and mathematical practice
Unlock for $17.50

Full refund within 7 days · Never renews · Secure checkout by Polar

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Questions

What the course covers
4 units and 58 topics in the order of the course framework, for the May 2027 exam, plus an "Algebra you need" chapter placed where each skill is first needed. Unit 4 is not on the exam; it is here, marked "beyond the exam", because many classes teach it. Each topic has an interactive lesson, a free notes page and exam-style practice, and each unit a printable unit sheet. Practice that grades a typed expression by its value, calculator and no-calculator questions split as the exam splits them, and the three-decimal rule. The four free-response questions (function concepts, non-periodic and periodic modeling, symbolic manipulations) are drilled part by part. The course is being built. Units appear here as each one passes its accuracy review.
Four steps, every time you study.
Open your dashboard.
  • Read the lesson. It checks what you need first, then walks each idea one step at a time, with a graph for every function.
  • Answer as you go. Anything you miss goes into your review queue and comes back when you are about to forget it.
  • Train the hard parts. Transformations, rates of change and concavity, log and trig rewriting, sinusoidal models, each checked step by step.
  • Check your mastery. Your dashboard shows it by unit, topic and mathematical practice, and every miss links to its lesson.
What kinds of questions are there?
  • 1Read the situation
  • 2Pick the answer you would bet on
  • 3See the reasoning behind it
Has this course been reviewed?
This course has not yet been reviewed by an AP® Precalculus teacher. It follows the published course framework and open textbooks, listed on the Sources page. Spot a mistake? Report a problem.
Is this course free?
Every notes page is free, and so are the lessons in Unit 1 and the algebra chapter. 15 practice questions a day are free too.
Is LevlPrep affiliated with the exam?
AP® is a trademark registered by the College Board, which is not affiliated with, and does not endorse, this site.
Who makes LevlPrep?
An independent project, not a company or a training program. Premium is an optional one-time pass, and what is free is listed course by course. No ads.
How are the questions written?
Every question in every course is original, written for LevlPrep with an explanation on each one. Automated checks look for answer-position and length tells. Sources and checks.
How do I see what changed?
Corrected questions, new lessons and site fixes are listed, dated, on What’s new.
Start the first lesson