Intermediate Algebra

by Larson, Ron; Hostetler, Robert P.

• ISBN13: 9780618388264
• ISBN10: 0618388265
• Edition: 4th
• Format: Hardcover
• Copyright: 2004-01-06
• Publisher: Brooks Cole

Summary

Designed for first-year developmental students who need support in intermediate algebra, the Fourth Edition of Intermediate Algebra retains the hallmark features for which the Larson team is known: abundant, high-quality applications; the use of real data; the integration of visualization (figures and graphs) throughout; and extensive opportunities for self-assessment (mid-chapter quizzes, review exercises, tests, and cumulative tests). In developing supportive new features for the Fourth Edition, the authors' goal is for students to come away from the class with a firm understanding of algebra and how it functions as a modern modeling language. What You Should Learn orients students to each section by listing the main objectives. Why You Should Learn It provides a motivational explanation for learning the given objectives. What Did You Learn? following each chapter highlights key mathematical terms and concepts. For easy reference, Key Terms are correlated to the chapter by page number, while Key Concepts are correlated by section number. Integrated Review Exercises appear before section exercises in every section. They offer a review of skills, definitions, and problem solving from previous chapters. Eduspace, powered by Blackboard, for the Larson/Hostetler Intermediate Algebra course features algorithmic exercises, test bank content in question pools, an online study guide, interactive tutorials for appropriate sections and video explanations.

Table of Contents

Note: Each chapter is preceded by Motivating the Chapter, includes a Mid-Chapter Quiz, and concludes with What Did You Learn? (Chapter Summary), Review Exercises, and a Chapter Test

Fundamentals of Algebra

The Real Number System

Operations with Real Numbers

Properties of Real Numbers

Algebraic Expressions

Constructing Algebraic Expressions

Linear Equations and Inequalities

Linear Equations

Linear Equations and Problem Solving

Business and Scientific Problems

Linear Inequalities

Absolute Value Equations and Inequalities

Graphs and Functions

The Rectangular Coordinate System

Graphs of Equations

Slope and Graphs of Linear Equations

Equations of Lines

Graphs of Linear Inequalities

Relations and Functions

Graphs of Functions

Systems of Equations and Inequalities

Systems of Equations

Linear Systems in Two Variables

Linear Systems in Three Variables

Matrices and Linear Systems

Determinants and Linear Systems

Systems of Linear Inequalities Cumulative Test: Chapters 1–4

Polynomials and Factoring

Integer Exponents and Scientific Notation

Adding and Subtracting Polynomials

Multiplying Polynomials

Factoring by Grouping and Special Forms

Factoring Trinomials

Solving Polynomial Equations by Factoring

Rational Expressions, Equations, and Functions

Rational Expressions and Functions

Multiplying and Dividing Rational Expressions

Adding and Subtracting Rational Expressions

Complex Fractions

Dividing Polynomials and Synthetic Division

Solving Rational Equations

Applications and Variation

Radicals and Complex Numbers

Radicals and Rational Exponents

Simplifying Radical Expressions

Adding and Subtracting Radical Expressions

Mulitplying and Dividing Radical Expressions

Radical Equations and Applications

Complex Numbers Cumulative Test: Chapters 5–7

Quadratic Equations, Functions, and Inequalities

Solving Quadratic Equations: Factoring and Special Forms

Completing the Square

The Quadratic Formula

Graphs of Quadratic Functions

Applications of Quadratic Equations

Quadratic and Rational Inequalities

Exponential and Logarithmic Functions

Exponential Functions

Composite and Inverse Functions

Logarithmic Functions

Properties of Logarithms

Solving Exponential and Logarithmic Equations

Applications

Conics

Circles and Parabolas

Ellipses

Hyperbolas

Solving Nonlinear Systems of Equations Cumulative Test: Chapters 8–10

Sequences, Series, and the Binomial Theorem

Sequences and Series

Arithmetic Sequences

Geometric Sequences and Series

The Binomial Theorem

Introduction to Graphing Calculators

Further Concepts in Geometry (web)

Exploring Congruence and Similarity

Angles

Further Concepts in Statistics (web)

Introduction to Logic (web)

Statements and Truth Tables

Implications, Quantifiers, and Venn Diagrams

Logical Arguments

Counting Principles (web)

Probability (web)

Answers to Odd-Numbered Exercises, Quizzes, and Tests

Index of Applications

Index

Table of Contents provided by Publisher. All Rights Reserved.