AoPS: Introduction to Algebra (AMC 8 & 10) — Lessons, Skills & Practice | Pengi

AoPS: Introduction to Algebra, published by AoPS Incorporated, is a rigorous math enrichment textbook designed for advanced learners preparing for competitions such as AMC 8 and AMC 10, typically used by highly motivated students around Grade 4 and beyond. The book provides a thorough foundation in algebra, covering topics from one- and multi-variable linear equations, ratios, proportions, and graphing lines to more advanced concepts including quadratic equations, complex numbers, polynomials, exponents, logarithms, sequences and series, and functions. With its problem-solving-focused approach, it challenges students to develop deep mathematical reasoning and the skills needed to excel in competitive mathematics.

AoPS: Introduction to Algebra (AMC 8 & 10) covers 22 chapters and 97 lessons on Pengi.

AoPS: Introduction to Algebra (AMC 8 & 10) textbook table of contents

Chapter 1: Follow the Rules

Chapter 2: x Marks the Spot

Chapter 3: One-Variable Linear Equations

Chapter 4: More Variables

Chapter 5: Multi-Variable Linear Equations

Chapter 6: Ratios and Percents

Chapter 7: Proportion

Chapter 8: Graphing Lines

Chapter 9: Introduction to Inequalities

Chapter 10: Quadratic Equations - Part 1

Chapter 11: Special Factorizations

Chapter 12: Complex Numbers

Chapter 13: Quadratic Equations - Part 2

Chapter 14: Graphing Quadratics

Chapter 15: More Inequalities

Chapter 16: Functions

Chapter 17: Graphing Functions

Chapter 18: Polynomials

Chapter 19: Exponents and Logarithms

Chapter 20: Special Functions

Chapter 21: Sequences & Series

Chapter 22: Special Manipulations

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