# AP Precalculus Practice Test

*(50)*

- Describing how quantities change with respect to each other
*(10)* - Describing end behavior of polynomial and rational functions
*(10)* - Identifying asymptotes of and holes in the graphs of rational functions
*(10)* - Modeling aspects of scenarios using polynomial and rational functions
*(10)* - Identifying assumptions and limitations of function models
*(10)*

*(50)*

- Relating geometric sequences and exponential functions
*(10)* - Modeling data sets with exponential functions
*(10)* - Composing functions and finding inverses
*(10)* - Modeling scenarios with logarithmic functions
*(10)* - Validating a function model using a residual plot
*(10)*

*(50)*

- Relating right triangle trigonometry to the sine; cosine and tangent functions
*(10)* - Modeling data and scenarios with sinusoidal functions
*(10)* - Using inverse trigonometric functions to solve trigonometric equations
*(10)* - Graphing functions using polar coordinates
*(10)* - Describing how angles and radii change with respect to each other in a polar graph
*(10)*

*(50)*

- Describing how quantities change with respect to each other in a parametric function
*(10)* - Graphing conic sections using implicitly defined functions and parametric functions
*(10)* - Using vectors to describe motion of an object
*(10)* - Describing the impact of a transformation matrix on a graphical object
*(10)* - Modeling change in a context using matrices
*(10)*

## Exam Format & Components

**Section I: Multiple Choice**

40 Questions | 2hr | 63% of Score

**Part A**:

**Duration**: 1 hour and 20 minutes**Questions**: 28**Calculator Usage**: Not permitted**Score Contribution**: Approximately 44%**Content Focus**: Questions will cover general functions (non-analytical), polynomial and rational functions, exponential and logarithmic functions from units 1–3.**Representation Types**: Includes graphical, numerical, analytical, and verbal forms, with emphasis on real-world contexts and modeling.

**Part B**:

**Duration**: 40 minutes**Questions**: 12**Calculator Usage**: Graphing calculator required (radian mode)**Score Contribution**: Approximately 19%**Content Focus**: Continues with complex questions on trigonometric and polar functions, including items that require modeling and real-world application.

**Section II: Free Response**

4 Questions | 1hr | 37% of Score

**Part A**:

**Duration**: 30 minutes**Questions**: 2**Calculator Usage**: Graphing calculator required (radian mode)**Score Contribution**: Approximately 19%**Content**: Focuses on advanced application of function concepts and modeling non-periodic contexts using calculators.

**Part B**:

**Duration**: 30 minutes**Questions**: 2**Calculator Usage**: Not permitted**Score Contribution**: Approximately 19%**Content**: Challenges students with questions on modeling periodic contexts and performing symbolic manipulations without the aid of calculators.

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