Algebra: The Second Year

Algebra: The Second Year is a complete, classroom-ready Algebra II textbook written for students who have finished Algebra I and are ready to go deeper. Written in the tradition of classic American algebra textbooks — clear definitions first, then worked examples, then practice — it covers the full standard Algebra II curriculum in nine structured chapters.What's in the book:The course opens with a review of the real number system and set notation, then extends into complex numbers. From there, students work through linear functions and systems, quadratic equations and functions (including completing the square and vertex form), and a dedicated chapter on function families — absolute value, power, square root, and sequences. The second half of the book covers polynomials and polynomial division, rational expressions and functions, exponential and logarithmic functions with real-world growth and decay applications, graphical transformations, and a final chapter on conic sections — circles, parabolas, ellipses, and hyperbolas — where algebra and geometry meet.How it's structured:Every section follows the same reliable pattern: key terms and properties stated clearly, worked examples showing how to apply them, checkpoints for immediate self-testing, and graded exercises organized into three groups. Group A builds the core skill. Group B applies it to multi-step and real-world problems. Group C asks students to prove, generalize, or extend — the kind of mathematical thinking that prepares them for what comes next. Selected answers appear in the back of the book.Chapter overview:Chapter 1: Sets and NumbersChapter 2: Linear FunctionsChapter 3: Quadratic Equations and FunctionsChapter 4: More on FunctionsChapter 5: PolynomialsChapter 6: Rational Expressions and FunctionsChapter 7: Exponential and Logarithmic FunctionsChapter 8: Graphical Transformations and Other FunctionsChapter 9: Conic Sections Read more