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Chapters

This textbook is organized into 13 chapters covering 200 concepts.

Chapter Overview

  1. Foundations of Algebra - This chapter introduces fundamental algebraic building blocks including numbers, variables, constants, terms, expressions, equations, and essential properties that govern all algebraic operations.
  2. Number Systems and Properties - This chapter explores different number systems, properties of operations, and introduces students to integers, rational numbers, real numbers, and fundamental mathematical properties.
  3. Exponents and Powers - This chapter covers the basics of exponents including integer and rational exponents, exponent rules (product, quotient, power), scientific notation, and introduces radicals.
  4. Polynomial Expressions - This chapter introduces polynomial terminology, operations with polynomials (adding, subtracting, multiplying), special products, and polynomial classification.
  5. Factoring Polynomials - This chapter covers all factoring techniques including GCF, factoring trinomials, difference of squares, perfect squares, grouping, and introduces the zero product property.
  6. Solving Linear Equations - This chapter teaches students how to solve various types of linear equations from one-step to multi-step, including equations with fractions, decimals, and literal equations.
  7. Linear Inequalities and Absolute Value - This chapter extends equation-solving skills to inequalities, including compound inequalities and absolute value equations and inequalities.
  8. Introduction to Functions - This chapter introduces the function concept, including relations, domain, range, function notation, evaluation, and various function types including piecewise and step functions.
  9. Graphing and Linear Functions - This chapter covers the coordinate plane, plotting points, slope, intercepts, various forms of linear equations, and graphing techniques.
  10. Systems of Equations and Inequalities - This chapter teaches students how to solve and graph systems of linear equations and inequalities using multiple methods including graphing, substitution, and elimination.
  11. Quadratic Functions and Equations - This chapter introduces quadratic functions, parabolas, and multiple methods for solving quadratic equations including factoring, square roots, completing the square, and the quadratic formula.
  12. Exponential Functions - This chapter covers exponential functions, growth and decay models, and compares linear and exponential relationships.
  13. Data Analysis and Real-World Applications - This chapter applies algebraic concepts to real-world situations, introduces data analysis, scatterplots, correlation, regression, sequences, and various application problems.

How to Use This Textbook

Progress through the chapters in order, as each chapter builds on concepts from previous chapters. The textbook respects all concept dependencies, ensuring you have the necessary background before encountering new material. Complete the exercises and check your understanding before moving forward to ensure mastery of foundational concepts.

Note: Each chapter includes a list of concepts covered. Make sure to complete prerequisites before moving to advanced chapters.