ALGEBRA2: The True Core of Common Core Based on Major Textbooks

This Algebra2 textbook is designed to provide a complete, rigorous, and coherent foundation for students preparing for PreCalculus, college-level mathematics, and standardized exams.Each chapter offersclear and detailed conceptual explanations,carefully worked examples that model mathematical reasoning step by step, and50+ practice problems per chapter, allowing students to build fluency, confidence, and problem-solving skills through extensive practice.Table of ContentsChapter 1. Introduction to Functions1.1 Relations1.2 Functions1.3 Inverse Functions1.4 Transformations of Functions1.5 Even and Odd Functions1.6 ExerciseChapter 2. Linear Functions2.1 Linear Functions2.2 Systems of Equations2.3 Linear Inequalities in Two Dimensions2.4 Systems of Inequalities2.5 Absolute Value Functions2.6 Absolute Value Equations2.7 Absolute Value Inequalities2.8 ExerciseChapter 3. Quadratic Functions3.1 Quadratic Functions3.2 Quadratic Equations3.3 Optimization3.4 Imaginary Numbers3.5 Complex Numbers3.6 The Discriminant3.7 Quadratic Inequalities3.8 ExerciseChapter 4. Polynomial Functions4.1 Polynomial Functions4.2 Graphs of Polynomial Functions4.3 Finding Zeros4.4 Graphing Polynomials (A to Z)4.5 Analysis of Polynomial Functions4.6 Polynomial Equations4.7 ExerciseChapter 5. Rational Functions5.1 Direct, Inverse, and Joint Variation5.2 Rational Expressions5.3 Rational Functions5.4 Rational Equations5.5 ExerciseChapter 6. Radical Functions6.1 Radical Expressions6.2 Radical Functions6.3 Domains of Combined Functions6.4 Radical Equations6.5 ExerciseChapter 7. Exponential and Logarithmic Functions7.1 Properties of Exponents7.2 Exponential Functions7.3 Exponential Equations7.4 Logarithms7.5 Logarithmic Functions7.6 Logarithmic Equations7.7 Applications of Exponential and Logarithmic Functions7.8 ExerciseChapter 8. Trigonometry8.1 Radian and Degree Measure8.2 Arcs and Sectors8.3 Trigonometric Functions for Acute Angles8.4 Solving Right Triangles8.5 Angles of Elevation and Depression8.6 Area of Triangles8.7 General Angles8.8 Trigonometric Functions for General Angles8.9 Trigonometric Identities8.10 Graphs of Trigonometric Functions8.11 Transformations of Trigonometric Functions8.12 Inverse Trigonometric Functions8.13 Law of Sines8.14 Law of Cosines8.15 Solving General Triangles8.16 Trigonometric Equations8.17 ExerciseChapter 9. Conic Sections9.1 Lines9.2 Circles9.3 Parabolas9.4 Ellipses9.5 Hyperbolas9.6 Classifying Conics from the General Equation9.7 Applications of Conic Sections9.8 ExerciseChapter 10. Sequences and Series10.1 Sequences10.2 Arithmetic Sequences10.3 Geometric Sequences10.4 Series10.5 Arithmetic Series10.6 Geometric Series10.7 ExerciseChapter 11. Combinatorics11.1 Permutations11.2 Combinations11.3 The Binomial Theorem11.4 Probability11.5 ExerciseChapter 12. Statistics12.1 Descriptive Statistics12.2 Binomial Distribution12.3 Normal Distribution12.4 Margin of Error12.5 Exercise12.6 Appendix Read more