Algebra 1

Course Info

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 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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