pdf AP Precalculus: Prep Workbook Vol. 1 (AP Precalculus Series) (English Edition)

AP Precalculus: Prep Workbook
Volume 1 of 4 — Polynomial and Rational Functions

This is Volume 1 in a four-volume study series covering the complete AP Precalculus course. This volume covers Polynomial and Rational Functions (360 pages, 14 sections, 210 exercises and solutions). Each volume in the series stands on its own and can be used independently, or combined with the others for full-year coverage.

Master AP Precalculus with a book built to match the exam — every concept in three representations, every problem worked and checked with care.

Precalculus brings together every math class you've taken, built around a single idea: when one quantity changes, how does another change with it? This series follows the complete College Board AP Precalculus Course and Exam Description from start to finish, split across four volumes so you can focus on one unit at a time:

• Volume 1: Polynomial and Rational Functions (360 pages, 14 sections, 210 exercises and solutions)
• Volume 2: Exponential and Logarithmic Functions (377 pages, 15 sections, 225 exercises and solutions)
• Volume 3: Trigonometric and Polar Functions (379 pages, 15 sections, 225 exercises and solutions)
• Volume 4: Functions Involving Parameters, Vectors, and Matrices (240 pages, 12 sections, 120 exercises and solutions)

What makes this series different:

• Every idea shown three ways. The AP Exam tests concepts algebraically, graphically, and numerically — so this volume does too. You won't just memorize a formula; you'll see it in an equation, on a graph, and in a table.
• Every section stands on its own. No flipping back to find half-remembered definitions. Each of this volume's 14 sections is self-contained, letting you study in order or jump straight to the topic you need.
• Full worked solutions — not just answers. Every section includes 2–3 worked examples (labeled Calculator Active or No Calculator, matching the exam) and complete, step-by-step solutions to every practice exercise.
• Built for the free-response section. Every exercise set includes at least one "explain" or "justify" problem — the exact skill FRQs demand. A dedicated FRQ Writing Guide translates your math into the sentence-level language AP readers look for, aligned with official scoring rubrics.
• A manuscript checked with care. Every example, quick check, and exercise was worked through by hand from scratch and cross-checked against the solution (not just proofread). Notation, definitions, and difficulty were reviewed section by section for consistency, both within this volume and across the full series.
• A calculator reference that matches the exam. The Calculator Companion covers the TI-84 family and Desmos side by side, focusing on the tools the exam rewards — tables, regression, zeros, intersections, and parametric/polar graphing — plus a troubleshooting guide for common errors.

Whether you're taking the course for the first time, reviewing before the exam, or focusing on one unit at a time, this volume gives you the explanations, the worked practice, and the reasoning skills to build real understanding — not just memorized steps.