Free AP Precalculus Practice — Understand functions as models, not just formulas
Explore polynomial, rational, exponential, logarithmic, and trigonometric relationships. Connect symbolic rules to graphs, tables, and the quantities they model.
- 31
- Quizzes
- 4
- Modules
- 12
- Full practice exams
- 10
- Timed mini-exams
- $0
- Cost, forever
Precalculus brings several function families into one language. The goal is to understand how an input determines an output, what patterns a family can represent, and where a model stops making sense. A formula is more useful when you can describe its behavior before entering numbers.
The bank groups polynomial and rational functions, exponential and logarithmic functions, trigonometric and polar functions, and additional work with parametric functions, vectors, and matrices. Use a focused set to learn the features of one family, then compare families in mixed practice. Extra topics can support broader course study; their presence does not establish official exam weighting.
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Recognize patterns and preserve domains
Compare equal-interval differences and ratios in a table. Constant differences suggest a linear relationship, while constant positive ratios suggest an exponential one. Polynomial and rational expressions offer other shapes, and their factored forms can expose zeros, excluded inputs, or end behavior.
Transformations connect an existing model to a new one. Changing f(x) to f(x − h) shifts the graph horizontally because the old input is reached at a different x. Adding a constant outside changes the output. Keep these operations distinct, and retain original domain restrictions even when simplifying cancels a factor.
AP Precalculus score overview
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No recommendation
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Possibly qualified
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Qualified
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Well qualified
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Extremely well qualified
Checkpoints only. A result on this site is practice feedback, not an official score.
Lessons
4Practice by topic
4 modules. Drill a weak topic before you open a longer set.
Polynomial & Rational Functions
4 quizzesExponential and Logarithmic Functions
1 quizTrigonometric and Polar Functions
2 quizzesParametric Functions, Vectors, and Matrices
2 quizzesFull-length practice exams
12 longer sets. Take the parts back to back for a realistic session.
Timed mini-exams
Short timed sets for a daily session, after the topic quizzes feel familiar.
Tips before you practice
- Write denominator and logarithm restrictions before solving.
- Do not confuse f(a) with solving f(x) = a.
- Check whether a stated time is continuous or must be a whole number of periods.
- Choose a graphing window that shows the behavior relevant to the question.
Frequently asked questions
Compare equal input intervals. A constant output difference supports a linear model; a constant positive output ratio supports an exponential model.