Table of Contents

• Algebra, Mathematical Models, and Problem Solving

• 1.1 Algebraic Expressions, Real Numbers, and Interval Notation
• 1.2 Operations with Real Numbers and Simplifying Algebraic Expressions
• 1.3 Graphing Equations
• 1.4 Solving Linear Equations
  • Mid-Chapter Check Point
• 1.5 Problem Solving and Using Formulas
• 1.6 Properties of Integral Exponents
• 1.7 Scientific Notation

• Functions and Linear Functions

• 2.1 Introduction to Functions
• 2.2 Graphs of Functions
• 2.3 The Algebra of Functions
  • Mid-Chapter Check Point
• 2.4 Linear Functions and Slope
• 2.5 The Point-Slope Form of the Equation of a Line

• Systems of Linear Equations

• 3.1 Systems of Linear Equations in Two Variables
• 3.2 Problem Solving and Business Applications Using Systems of Equations
• 3.3 Systems of Linear Equations in Three Variables
  • Mid-Chapter Check Point
• 3.4 Matrix Solutions to Linear Systems
• 3.5 Determinants and Cramer''s Rule

• Inequalities and Problem Solving

• 4.1 Solving Linear Inequalities
• 4.2 Compound Inequalities
• 4.3 Equations and Inequalities Involving Absolute Value
  • Mid-Chapter Check Point
• 4.4 Linear Inequalities in Two Variables
• 4.5 Linear Programming

• Polynomials, Polynomial Functions, and Factoring

• 5.1 Introduction to Polynomials and Polynomial Functions
• 5.2 Multiplication of Polynomials
• 5.3 Greatest Common Factors and Factoring by Grouping
• 5.4 Factoring Trinomials
  • Mid-Chapter Check Point
• 5.5 Factoring Special Forms
• 5.6 A General Factoring Strategy
• 5.7 Polynomial Equations and Their Applications

• Rational Expressions, Functions, and Equations

• 6.1 Rational Expressions and Functions; Multiplying and Dividing
• 6.2 Adding and Subtracting Rational Expressions
• 6.3 Complex Rational Expressions
• 6.4 Division of Polynomials
  • Mid-Chapter Check Point
• 6.5 Synthetic Division and the Remainder Theorem
• 6.6 Rational Equations
• 6.7 Formulas and Applications of Rational Equations
• 6.8 Modeling Using Variation

• Radicals, Radical Functions, and Rational Exponents

• 7.1 Radical Expressions and Functions
• 7.2 Rational Exponents
• 7.3 Multiplying and Simplifying Radical Expressions
• 7.4 Adding, Subtracting, and Dividing Radical Expressions
  • Mid-Chapter Check Point
• 7.5 Multiplying with More Than One Term and Rationalizing Denominators
• 7.6 Radical Equations
• 7.7 Complex Numbers

• Quadratic Equations and Functions

• 8.1 The Square Root Property and Completing the Square
• 8.2 The Quadratic Formula
• 8.3 Quadratic Functions and Their Graphs
  • Mid-Chapter Check Point
• 8.4 Equations Quadratic in Form
• 8.5 Polynomial and Rational Inequalities

• Exponents and Logarithmic Functions

• 9.1 Exponential Functions
• 9.2 Composite and Inverse Functions
• 9.3 Logarithmic Functions
• 9.4 Properties of Logarithms
  • Mid-Chapter Check Point
• 9.5 Exponential and Logarithmic Equations
• 9.6 Exponential Growth and Decay; Modeling Data

• Conic Sections and Systems of Nonlinear Equations

• 10.1 Distance and Midpoint Formulas; Circles
• 10.2 The Ellipse
• 10.3 The Hyperbola
  • Mid-Chapter Check Point
• 10.4 The Parabola; Identifying Conic Sections
• 10.5 Systems of Nonlinear Equations in Two Variables

• Sequences, Series, and the Binomial Theorem

• 11.1 Sequences and Summation Notation
• 11.2 Arithmetic Sequences
• 11.3 Geometric Sequences and Series
  • Mid-Chapter Check Point
• 11.4 The Binomial Theorem