Compton Math 73/80: Intermediate Algebra

• Preface to Students
• Study Skills   New
  • Study and Success Skills
  • Enrichment - Foundations Series
  • Advice from Video Tutors
  • Common Mistakes
• 0 - Real Numbers and Algebraic Expressions
  • Chapter Introduction
  • 0.1 - The Real Numbers
  • 0.2 - Properties of Real Numbers
  • 0.3 - Arithmetic with Real Numbers
  • 0.4 - Exponents and Scientific Notation
  • Chapter Test & Summary
• 1 - Linear Equations and Inequalities in One Variable
  • Chapter Introduction
  • 1.1 - Linear Equations
  • 1.2 - Formulas
  • 1.3 - Applications
  • 1.4 - Interval Notation and Linear Inequalities
  • 1.5 - Sets and Compound Inequalities
  • 1.6 - Absolute Value Equations
  • 1.7 - Absolute Value Inequalities
  • Chapter Test & Summary
• 2 - Graphs of Equations, Inequalities, and Functions
  • Chapter Introduction
  • 2.1 - Graphs of Equations
  • 2.2 - Introduction to Functions
  • 2.3 - Function Notation
  • 2.4 - Algebra and Composition with Functions
  • 2.5 - Slope and Average Rate of Change
  • 2.6 - Linear Functions
  • 2.7 - Linear Inequalities
  • Chapter Test & Summary
• 3 - Systems of Equations
  • Chapter Introduction
  • 3.1 - Solving Linear Systems
  • 3.2 - Systems of Linear Equations in Three Variables
  • 3.3 - Matrix Solutions to Linear Systems
  • 3.4 - Determinants and Cramer’s Rule
  • 3.5 - Applications of Systems of Equations
  • 3.6 - System of Linear Inequalities and Applications
  • Chapter Test & Summary
• 4 - Exponents and Polynomials
  • Chapter Introduction
  • 4.1 - Sums and Differences of Polynomials
  • 4.2 - Multiplication of Polynomials
  • 4.3 - Greatest Common Factor and Factoring by Grouping
  • 4.4 - Factoring Trinomials
  • 4.5 - Factoring Special Products
  • 4.6 - Factoring: A General Review
  • 4.7 - Solving Equations by Factoring
  • Chapter Test & Summary
• 5 - Rational Expressions, Equations, and Functions
  • Chapter Introduction
  • 5.1 - Basic Properties and Reducing to Lowest Terms
  • 5.2 - Multiplication and Division of Rational Expressions
  • 5.3 - Addition and Subtraction of Rational Expressions
  • 5.4 - Complex Rational Expressions
  • 5.5 - Rational Equations
  • 5.6 - Applications
  • 5.7 - Division of Polynomials
  • 5.8 - Variation
  • Chapter Test & Summary
• 6 - Rational Exponents and Radicals
  • Chapter Introduction
  • 6.1 - Rational Exponents
  • 6.2 - Simplifying Radicals
  • 6.3 - Addition and Subtraction of Radical Expressions
  • 6.4 - Multiplication and Division of Radical Expressions
  • 6.5 - Radical Equations and Functions
  • 6.6 - Complex Numbers
  • Chapter Test & Summary
• 7 - Quadratic Equations and Functions
  • Chapter Introduction
  • 7.1 - Completing the Square
  • 7.2 - The Quadratic Formula
  • 7.3 - The Discriminant and Multiplicity
  • 7.4 - Equations Quadratic in Form
  • 7.5 - Quadratic Functions and Transformations
  • 7.6 - More About Graphing Quadratic Functions
  • 7.7 - Polynomial and Rational Inequalities
  • Chapter Test & Summary
• 8 - Exponential and Logarithmic Functions
  • Chapter Introduction
  • 8.1 - Exponential Functions and Applications
  • 8.2 - Inverse Functions
  • 8.3 - Logarithmic Functions and Applications
  • 8.4 - Properties of Logarithms
  • 8.5 - Common and Natural Logarithms with Applications
  • 8.6 - Exponential Equations, Change of Base, and Applications
  • Chapter Test & Summary
• 9 - Conic Sections
  • Chapter Introduction
  • 9.1 - Circles
  • 9.2 - Parabolas
  • 9.3 - Ellipses
  • 9.4 - Hyperbolas
  • 9.5 - Nonlinear Systems of Equations and Inequalities
  • Chapter Test & Summary
• 10 - Sequences and Series
  • Chapter Introduction
  • 10.1 - Sequences and Recursion Formulas
  • 10.2 - Series
  • 10.3 - Arithmetic Sequences
  • 10.4 - Geometric Sequences
  • 10.5 - The Binomial Expansion
  • 10.6 - Venn Diagrams, Permutations, and Combinations
  • Chapter Test & Summary
• Answers
• Index