AP Precalculus Practice Test: Unit 1 (38 Multiple Choice and 4 Free Response Questions)

My AP Precalculus Practice Tests are carefully designed to help students build confidence for in-class assessments, support their work on AP Classroom assignments, and thoroughly prepare them for the AP Precalculus exam in May.

**"AP Precalculus Practice Test: Unit 1 (38 Multiple Choice and 4 Free Response Questions)"** is a comprehensive review of essential Unit 1 topics in AP Precalculus. It is organized to guide students through various function types, transformations, and applications, providing examples for each concept and offering practical strategies for multiple-choice and free-response questions. Here’s an overview of the main topics covered:

### Key Topics and Examples

1. **Change in Tandem** – Introduces the concept of how two variables change together and its application to function analysis.

2. **Rates of Change** – Reviews the concept of average rate of change, explaining how to interpret it across different functions.

3. **Rates of Change in Linear and Quadratic Functions** – Compares the rate of change in linear (constant rate) and quadratic functions (variable rate).

4. **Polynomial Functions and Rates of Change** – Examines how to determine the rate of change in higher-degree polynomial functions and its implications on the graph’s behavior.

5. **Polynomial Functions and Complex Zeros** – Focuses on identifying zeros of polynomial functions, including complex roots, and understanding their impact on the function’s graph.

6. **Even and Odd Polynomials** – Analyzes the symmetry in even and odd polynomials and explains how this affects end behavior and overall graph shape.

7. **Polynomial Functions and End Behavior** – Discusses how the degree and leading coefficient of a polynomial dictate its end behavior.

8. **Rational Functions and End Behavior** – Reviews the long-term behavior of rational functions, with examples showing how to determine horizontal and oblique asymptotes.

9. **Rational Functions and Zeros** – Shows how to find zeros of rational functions and interpret these values within the graph context.

10. **Rational Functions and Vertical Asymptotes** – Explains how vertical asymptotes arise from the function’s denominator and their influence on the graph.

11. **Rational Functions and Holes** – Teaches how to identify removable discontinuities (holes) in rational functions where factors cancel.

12. **Equivalent Expressions and Binomial Theorem** – Covers rewriting expressions using the binomial theorem and its use in polynomial expansion.

13. **Polynomial Long Division and Slant Asymptotes** – Demonstrates polynomial long division to identify slant asymptotes in rational functions with degrees in the numerator higher than in the denominator.

14. **Translations of Functions** – Explains vertical and horizontal shifts in function graphs and their algebraic representation.

15. **Dilations of Functions** – Shows how stretches and compressions affect the graph of a function and how to calculate these transformations.

16. **Function Model Selection and Assumption Articulation** – Guides students on selecting an appropriate model for a real-life scenario and articulating the assumptions behind the model.

17. **Function Model Construction and Application** – Discusses constructing function models for applied problems, interpreting coefficients, and predicting trends.

### Structure of the Practice Test
The video includes **38 multiple-choice questions** and **4 free-response questions**, testing students on these topics through problem-solving and interpretation. The questions encourage critical thinking about function behavior, transformations, and applications, making this video a solid preparation tool for the AP Precalculus Unit 1 exam.

I have many informative videos for Pre-Algebra, Algebra 1, Algebra 2, Geometry, Pre-Calculus, and Calculus. Please check it out:

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Nick Perich
Norristown Area High School
Norristown Area School District
Norristown, Pa

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[obaroolamide]

Thank so much for this. This is very helpful! Can you please make the questions available in doc format 🙏