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## Overview

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 Eighth 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.

- NEW Cap Stone Exercises - the Cap Stone exercises assesses students understanding of all concepts covered in the section's material.
- NEW detailed Chapter Review - The new edition now includes explanations and/or examples for all learning objectives. This will further promote students' understanding of the material.
- NEW Caution/Warning boxes - The warnings cautions students away from common errors and pitfalls.
- NEW Algebra Helps - the author provides appropriate caution boxes, study tips and algebra helps to guide the student through difficult concepts.
- Improved Examples (graphical solution side by side with algebraic solution). This is intended to improve the students graphical understanding of algebra.
- New/Revised End of section exercises.
- Enhanced WebAssign.

- Vocabulary Checks open every set of Section Exercises. This review of mathematical terms, formulas, and theorems provides regular assessment and reinforcement of students' understanding of algebraic language and concepts.
- Exercise Sets have been carefully analyzed and revised to improve the categorization of problems from basic skill-building to challenging; improve the pairing of similar odd- and even-numbered exercises; update all real data; and add real-life and real-data applications.
- Side-by-side Example Solutions for select examples include multiple problem solving approaches--such as algebraic, graphical, and numerical--to appeal to a variety of teaching and learning styles.
- Checkpoints after each Example/Solution refer students to similar drills in the Section Exercises, allowing students to practice and reinforce the concepts they just learned. Answers to Checkpoints are included at the back of the book.

Review of Real Numbers and Their Properties. Exponents and Radicals. Polynomials and Special Products. Factoring Polynomials. Rational Expressions. The Rectangular Coordinate System and Graphs. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.

1. EQUATIONS, INEQUALITIES, AND MATHEMATICAL MODELING.

Graphs of Equations. Linear Equations in One Variable. Modeling with Linear Equations. Quadratic Equations and Applications. Complex Numbers. Other Types of Equations. Linear Inequalities in One Variable. Other Types of Inequalities. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.

2. FUNCTIONS AND THEIR GRAPHS.

Linear Equations in Two Variables. Functions. Analyzing Graphs of Functions. A Library of Functions. Shifting, Reflecting, and Stretching Graphs. Combinations of Functions. Inverse Functions. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters P-2. Proofs in Mathematics. P.S. Problem Solving.

3. POLYNOMIAL FUNCTIONS.

Quadratic Functions and Models. Polynomial Functions of Higher Degree. Polynomial and Synthetic Division. Zeros of Polynomial Functions. Mathematical Modeling. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.

4 RATIONAL FUNCTIONS AND CONICS.

Rational Functions and Asymptotes. Graphs of Rational Functions. Conics. Translations of Conics. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.

5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.

Exponential Functions and Their Graphs. Logarithmic Functions and Their Graphs. Properties of Logarithms. Exponential and Logarithmic Equations. Exponential and Logarithmic Models. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 3-5. Proofs in Mathematics. P.S. Problem Solving.

6. TRIGONOMETERY.

Angles and Their Measure. Right Triangle Trigonometry. Trigonometric Functions of Any Angle. Graphs of Sine and Cosine Functions. Graphs of Other Trigonometric Functions. Inverse Trigonometric Functions. Applications and Models. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.

7. ANALYTIC TRIGONOMETRY.

Using Fundamental Identities. Verifying Trigonometric Identities. Solving Trigonometric Equations. Sum and Difference Formulas. Multiple-Angle and Product-to-Sum Formulas. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.

8. ADDITIONAL TOPICS IN TRIGONOMETRY.

Law of Sines. Law of Cosines. Vectors in the Plane. Vectors and Dot Products. Trigonometric Form of a Complex Number. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 6-8. Proofs in Mathematics. P.S. Problem Solving.

9. SYSTEMS OF EQUATIONS AND INEQUALITIES.

Linear and Nonlinear Systems of Equations. Two-Variable Linear Systems. Multivariable Linear Systems. Partial Fractions. Systems of Inequalities. Linear Programming. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.

10. MATRICES AND DETERMINANTS.

Matrices and Systems of Equations. Operations with Matrices. The Inverse of a Square Matrix. The Determinant of a Square Matrix. Applications of Matrices and Determinants. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.

11. SEQUENCES, SERIES, AND PROBABILITY.

Sequences and Series. Arithmetic Sequences and Partial Sums. Geometric Sequences and Series. Mathematical Induction. The Binomial Theorem. Counting Principles. Probability. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 9-11. Proofs in Mathematics. P.S. Problem Solving.

APPENDIX A: ERRORS AND THE ALGEBRA OF CALCULUS.

APPENDIX B: CONCEPTS IN STATISTICS (WEB).

Representing Data. Measures of Central Tendency and Dispersion. Least Squares Regression.

ALTERNATIVE/EXPANDED VERSION OF CHAPTER P (WEB).

Operations with Real Numbers. Properties of Real Numbers. Algebraic Expressions. Operations with Polynomials. Factoring Polynomials. Factoring Trinomials.

Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.

### FOR INSTRUCTORS

#### PowerPoint® with Image Library Slides on Instructor's Website

ISBN: 9781337279758

Microsoft® PowerPoint® slides and image library for the entire book, posted on the Instructor Companion Website, let you incorporate images from the book right into your lectures. Available via the Instructor Resource Site.

#### Complete Solutions Manual with Instructor's Website

ISBN: 9781337279772

This time-saving manual provides complete solutions to all the exercises from the text, including Chapter Review Exercises and Chapter Tests.

#### Cengage Learning Testing, powered by Cognero® Instant Access

ISBN: 9781337279741

Cengage Learning Testing Powered by Cognero® is a flexible, online system that allows you to: import, edit, and manipulate content from the text's test bank or elsewhere, including your own favorite test questions; create multiple test versions in an instant; and deliver tests from your LMS, your classroom, or wherever you want. This is available online via www.cengage.com/login.

#### Study Guide with Student Solutions Manual

ISBN: 9781337279727

This guide offers step-by-step solutions for all odd-numbered text exercises, Chapter and Cumulative Tests, and Practice Tests with solutions, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer.

#### Note Taking Guide

ISBN: 9781337279734

This is an innovative study aid, in the form of a notebook organizer that helps students develop a section-by-section summary of key concepts.

#### Annotated Instructor's Edition

ISBN: 9781337279710

Instructor Sample/Review copy of Larson’s Algebra & Trigonometry, 10th Edition

### FOR STUDENTS

#### Study Guide with Student Solutions Manual

ISBN: 9781337279727

This guide offers step-by-step solutions for all odd-numbered text exercises, Chapter and Cumulative Tests, and Practice Tests with solutions, giving you a way to check your answers.

#### Note Taking Guide

ISBN: 9781337279734

This innovative study aid, in the form of a notebook organizer, helps you develop a section-by-section summary of key concepts.