AP Precalculus worksheets

These AP Precalculus topic-wise worksheets will guide you along with free video solutions. Understanding big concepts in AP Precalculus doesn’t have to be a big task. These worksheets are direct, and made to show you the relevant problems.

These worksheets follow the structure of AP Precalculus College board:

Unit 1: Polynomial and Rational Functions
Unit 2: Exponential and Logarithmic Functions
Unit 3: Trigonometric and Polar Functions
Unit 4: Functions Involving Parameters, Vectors, and Matrices (not tested by College Board)

So, whether you want more practice, you’re trying to get a step ahead, or you’re just seeing if AP Precalculus is your kind of thing, give these sheets a try. Looking for an online AP Precalculus tutor? Get in touch!

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AP Precalculus Prerequisites: Transformations of Functions

Unit 1: Polynomial and Rational functions

1.1 Change in Tandem

1.2 Rates of Change

1.3 Rates of Change in Linear and Quadratic Functions

1.1-1.3 Review

1.4 Polynomial Functions and Rates of Change

1.5 Polynomial Functions and Complex Zeros

1.6 Polynomial Functions and End Behavior

1.4-1.6 Review (Hard Questions)

1.1-1.6 Mid-Unit Review

1.7 Rational Functions and End Behavior

1.8 Rational Functions and Zeros

1.9-1.10 Rational Functions - Holes and Vertical Asymptotes

1.11 Equivalent Representations of Polynomial and Rational Expressions

1.7-1.11 Mid-Unit Review

1.12 Transformations of Functions

1.11-1.12 Review

1.13-1.14 Function Model Selection, Construction, Application and Assumption Articulation

Unit 1 Complete Review

Unit 2: Exponential and Logarithmic functions

2.1 Change in Arithmetic and Geometric Sequences

2.2 Change in Linear and Exponential Functions

2.3 Exponential Functions

2.4 Exponential Function Manipulation

2.5 Exponential Function Context and Data Modeling

2.6 Competing Function Model Validation

2.7 Composition of Functions

2.8 Inverse Functions

2.9 Logarithmic Expressions

2.10 Inverses of Exponential Functions

2.11 Logarithmic Functions

2.12 Logarithmic Function Manipulation

2.13 Exponential and Logarithmic Equations and Inequalities

2.14 Logarithmic Function Context and Data Modeling

2.15 Semi-log Plots

Unit 2 Complete Review

Unit 3: Trigonometric and Polar functions

3.1 Periodic Phenomena

3.2 Sine, Cosine, and Tangent

3.3 Sine and Cosine Function Values

3.4-3.5 Sine, Cosine Graphs and Sinusoidal Functions

3.6 Sinusoidal Function Transformations

3.7 Sinusoidal Function Context and Data Modeling

3.8 The Tangent Function

3.9 Inverse Trigonometric Functions

3.10 Trigonometric Equations and Inequalities

3.11 The Secant, Cosecant, and Cotangent Functions

3.12 Equivalent Representations of Trigonometric Functions

3.13 Trigonometry and Polar Coordinates

3.14 Polar Function Graphs

3.15 Rates of Change in Polar Functions

Unit 3 Complete Review

FRQ type 1

FRQ type 2

FRQ type 3

FRQ type 4

AP Precalculus Complete Review (Units 1-3)

AP Precalculus AP Style MCQs (Units 1-3)

AP Precalculus Mock Exams

AP Precalculus Cram sheet

AP Precalculus Cheat sheet