Algebra 1

Algebra 1 - Full Course

Table of Contents

Chapter 1 - THE REAL NUMBER SYSTEM

  • 1.1 Real Numbers: Order and Absolute Value
  • 1.2 Adding and Subtracting Integers
  • 1.3 Multiplying and Dividing Integers
  • 1.4 Operations with Rational Numbers
  • 1.5 Exponents, Order of Operations, and Properties of Real Numbers

Chapter 2 - FUNDAMENTALS OF ALGEBRA

  • 2.1 Writing and Evaluating Algebraic Expressions
  • 2.2 Simplifying Algebraic Expressions
  • 2.3 Algebra and Problem Solving
  • 2.4 Introduction to Equations

Chapter 3 - LINEAR EQUATIONS AND PROBLEM SOLVING

  • 3.1 Solving Linear Equations
  • 3.2 Equations that Reduce to Linear Form
  • 3.3 Problem Solving with Percents
  • 3.4 Ratios and Proportions
  • 3.5 Geometric and Scientific Applications
  • 3.6 Linear Inequalities

Chapter 4 - EQUATIONS AND INEQUALITIES IN TWO VARIABLES

  • 4.1 Ordered Pairs and Graphs
  • 4.2 Graphs of Equations in Two Variables
  • 4.3 Slope and Graphs of Linear Equations
  • 4.4 Equations of Lines
  • 4.5 Graphs of Linear Inequalities

Chapter 5 - EXPONENTS AND POLYNOMIALS

  • 5.1 Negative Exponents and Scientific Notation
  • 5.2 Adding and Subtracting Polynomials
  • 5.3 Multiplying Polynomials: Special Products
  • 5.4 Dividing Polynomials

Chapter 5 - EXPONENTS AND POLYNOMIALS

  • 5.1 Negative Exponents and Scientific Notation
  • 5.2 Adding and Subtracting Polynomials
  • 5.3 Multiplying Polynomials: Special Products
  • 5.4 Dividing Polynomials

Chapter 6 - FACTORING AND SOLVING EQUATIONS

  • 6.1 Factoring Polynomials with Common Factors
  • 6.2 Factoring Trinomials
  • 6.3 More About Factoring Trinomials
  • 6.4 Factoring Polynomials with Special Forms
  • 6.5 Solving Quadratic Equations by Factoring

Chapter 7 - RATIONAL EXPRESSIONS AND EQUATIONS

  • 7.1 Simplifying Rational Expressions
  • 7.2 Multiplying and Dividing Rational Expressions
  • 7.3 Adding and Subtracting Rational Expressions
  • 7.4 Complex Fractions
  • 7.5 Rational Equations and Applications

Chapter 8 - SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES

  • 8.1 Solving Systems of Equations by Graphing
  • 8.2 Solving Systems of Equations by Substitution
  • 8.3 Solving Systems of Equations by Elimination
  • 8.4 Applications of Systems of Linear Equations
  • 8.5 Systems of Linear Inequalities

Chapter 9 - RADICAL EXPRESSIONS AND EQUATIONS

  • 9.1 Roots and Radicals
  • 9.2 Simplifying Radicals
  • 9.3 Operations with Radical Expressions
  • 9.4 Radical Equations and Applications

Chapter 10 - QUADRATIC EQUATIONS AND FUNCTIONS

  • 10.1 Solution by the Square Root Property
  • 10.2 Solution by Completing the Square
  • 10.3 Solution by the Quadratic Formula
  • 10.4 Graphing Quadratic Equations
  • 10.5 Applications of Quadratic Equations
  • 10.6 Complex Numbers
  • 10.7 Relations, Functions, and Graphs

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