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This market-leading text continues to provide students and instructors with sound, consistently structured explanations of the mathematical concepts. Designed for a two-term course, the new Seventh Edition retains the features that have made Algebra and Trigonometry a complete solution for both students and instructors: interesting applications, cutting-edge design, and innovative technology combined with an abundance of carefully written exercises.

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• Note: Each chapter concludes with a Chapter Summary, Review Exercises, a Chapter Test, Proofs in Mathematics, and P.S. Problem Solving
• P Prerequisites
• P.1 Review of Real Numbers and Their Properties
• P.2 Exponents and Radicals
• P.3 Polynomials and Special Products
• P.4 Factoring Polynomials
• P.5 Rational Expressions
• P.6 Errors and the Algebra of Calculus
• P.7 The Rectangular Coordinate System and Graphs
• 1 Equations, Inequalities, and Mathematical Modeling
• 1.1 Graphs of Equations
• 1.2 Linear Equations in One Variable
• 1.3 Modeling with Linear Equations
• 1.4 Quadratic Equations and Applications
• 1.5 Complex Numbers
• 1.6 Other Types of Equations
• 1.7 Linear Inequalities in One Variable
• 1.8 Other Types of Inequalities
• 2 Functions and Their Graphs
• 2.1 Linear Equations in Two Variables
• 2.2 Functions
• 2.3 Analyzing Graphs of Functions
• 2.4 A Library of Parent Functions
• 2.5 Transformations of Functions
• 2.6 Combinations of Functions: Composite Functions
• 2.7 Inverse Functions Cumulative Test: Chapters P–2
• 3 Polynomial Functions
• 3.1 Quadratic Functions and Models
• 3.2 Polynomial Functions of Higher Degree
• 3.3 Polynomial and Synthetic Division
• 3.4 Zeros of Polynomial Functions
• 3.5 Mathematical Modeling and Variation
• 4 Rational Functions and Conics
• 4.1 Rational Functions and Asymptotes
• 4.2 Graphs of Rational Functions
• 4.3 Conics
• 4.4 Translations of Conics
• 5 Exponential and Logarithmic Functions
• 5.1 Exponential Functions and Their Graphs
• 5.2 Logarithmic Functions and Their Graphs
• 5.3 Properties of Logarithms
• 5.4 Exponential and Logarithmic Equations
• 5.5 Exponential and Logarithmic Models Cumulative Test: Chapters 3–5
• 6 Trigonometry
• 6.1 Angles and Their Measure
• 6.2 Right Triangle Trigonometry
• 6.3 Trigonometric Functions of Any Angle
• 6.4 Graphs of Sine and Cosine Functions
• 6.5 Graphs of Other Trigonometric Functions
• 6.6 Inverse Trigonometric Functions
• 6.7 Applications and Models
• 7 Analytic Trigonometry
• 7.1 Using Fundamental Identities
• 7.2 Verifying Trigonometric Identities
• 7.3 Solving Trigonometric Equations
• 7.4 Sum and Difference Formulas
• 7.5 Multiple–Angle and Product–to–Sum Formulas
• 8 Additional Topics in Trigonometry
• 8.1 Law of Sines
• 8.2 Law of Cosines
• 8.3 Vectors in the Plane
• 8.4 Vectors and Dot Products
• 8.5 Trigonometric Form of a Complex Number Cumulative Test: Chapters 6–8
• 9 Systems of Equations and Inequalities
• 9.1 Linear and Nonlinear Systems of Equations
• 9.2 Two-Variable Linear Systems
• 9.3 Multivariable Linear Systems
• 9.4 Partial Fractions
• 9.5 Systems of Inequalities
• 9.6 Linear Programming
• 10 Matrices and Determinants
• 10.1 Matrices and Systems of Equations
• 10.2 Operations with Matrices
• 10.3 The Inverse of a Square Matrix
• 10.4 The Determinant of a Square Matrix
• 10.5 Applications of Matrices and Determinants
• 11 Sequences, Series, and Probability
• 11.1 Sequences and Series
• 11.2 Arithmetic Sequences and Partial Sums
• 11.3 Geometric Sequences and Series
• 11.4 Mathematical Induction
• 11.5 The Binomial Theorem
• 11.6 Counting Principles
• 11.7 Probability Cumulative Test: Chapters 9–11
• Appendix
• A Concepts in Statistics (web)
• A.1 Representing Data
• A.2 Measures of Central Tendency and Dispersion
• A.3 Least Squares Regression