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# Beginning and Intermediate Algebra: An Integrated Approach (with CengageNOW 2-Semester and Personal Tutor Printed Access Card) / Edition 5

Beginning and Intermediate Algebra: An Integrated Approach (with CengageNOW 2-Semester and Personal Tutor Printed Access Card) / Edition 5 available in Hardcover

## Overview

Get the grade you want in algebra with Gustafson and Frisk's BEGINNING AND INTERMEDIATE ALGEBRA! Written with you in mind, the authors provide clear, no-nonsense explanations that will help you learn difficult concepts with ease. Prepare for exams with numerous resources located online and throughout the text such as online tutoring, Chapter Summaries, Self-Checks, Getting Ready exercises, and Vocabulary and Concept problems. Use this text, and you'll learn solid mathematical skills that will help you both in future mathematical courses and in real life!

## Product Details

ISBN-13: | 9780495117933 |
---|---|

Publisher: | Cengage Learning |

Publication date: | 01/05/2007 |

Series: | Available 2010 Titles Enhanced Web Assign Series |

Edition description: | REV |

Pages: | 1008 |

Product dimensions: | 8.14(w) x 10.28(h) x 1.41(d) |

## Read an Excerpt

Get the grade you want in algebra with Gustafson and Frisk's BEGINNING AND INTERMEDIATE ALGEBRA! Written with you in mind, the authors provide clear, no-nonsense explanations that will help you learn difficult concepts with ease. Prepare for exams with numerous resources located online and throughout the text such as online tutoring, Chapter Summaries, Self-Checks, Getting Ready exercises, and Vocabulary and Concept problems. Use this text, and you'll learn solid mathematical skills that will help you both in future mathematical courses and in real life!

## First Chapter

Get the grade you want in algebra with Gustafson and Frisk's BEGINNING AND INTERMEDIATE ALGEBRA! Written with you in mind, the authors provide clear, no-nonsense explanations that will help you learn difficult concepts with ease. Prepare for exams with numerous resources located online and throughout the text such as online tutoring, Chapter Summaries, Self-Checks, Getting Ready exercises, and Vocabulary and Concept problems. Use this text, and you'll learn solid mathematical skills that will help you both in future mathematical courses and in real life!

## Table of Contents

1. REAL NUMBERS AND THEIR BASIC PROPERTIES. Real Numbers and Their Graphs. Fractions. Exponents and Order of Operations. Adding and Subtracting Real Numbers. Multiplying and Dividing Real Numbers. Algebraic Expressions. Properties of Real Numbers. Projects. Chapter Summary. Chapter 1 Test. 2. EQUATIONS AND INEQUALITIES. Solving Basic Equations. Solving More Equations. Simplifying Expressions to Solve Equations. Introduction to Problem Solving. Motion and Mixture Problems. Formulas. Solving Inequalities. Projects. Chapter Summary. Chapter 2 Test. Cumulative Review Exercises. 3. GRAPHING AND SOLVING SYSTEMS OF EQUATIONS AND INEQUALITIES. The Rectangular Coordinate System. Graphing Linear Equations. Solving Systems of Equations by Graphing. Solving Systems of Equations by Substitutions. Solving Systems of Equations by Addition. Applications of Systems of Equations. Systems of Linear Inequalities. Projects. Chapter Summary. Chapter 3 Test. 4. POLYNOMIALS. Natural-Number Exponents. Zero and Negative Integral Exponents. Scientific Notation. Polynomials and Polynomial Functions. Adding and Subtracting Polynomials. Multiplying Polynomials. Dividing Polynomials by Monomials. Dividing Polynomials by Polynomials. Projects. Chapter Summary. Chapter 4 Test. Cumulative Review Exercises. 5. FACTORING POLYNOMIALS. Factoring out the Greatest Common Factor: Factoring by Grouping. Factoring the Difference of Two Squares. Factoring Trinomials with Lead Coefficients of 1. Factoring General Trinomials. Factoring the Sum and Difference of Two Cubes. Summary of Factoring Techniques. Solving Equations by Factoring. Problem Solving. Projects. Chapter Summary. Chapter 5 Test. 6. PROPORTIONS AND RATIONAL EXPRESSIONS. Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Complex Fractions. Solving Equations That Contain Rational Expressions. Applications of Equations That Contain Rational Expressions. Ratios. Proportions and Similar Triangles. Projects. Chapter Summary. Chapter 6 Test. Cumulative Review Exercises. 7. MORE EQUATIONS, INEQUALITIES, AND FACTORING. Review of Equations and Inequalities. Equations Containing Absolute Values. Inequalities Containing Absolute Values. Review of Factoring. Review of Rational Expressions. Synthetic Division. Projects. Chapter Summary. Chapter 7 Test. 8. WRITING EQUATIONS OF LINES, FUNCTIONS, AND VARIATION. A Review of the Rectangular Coordinate System. Slope of a Nonvertical Line. Writing Equations of Lines. A Review of Functions. Graphs of Nonlinear Functions. Variation. Projects. Chapter Summary. Chapter 8 Test. Cumulative Review Exercises. 9. RADICALS AND RATIONAL EXPONENTS. Radical Expressions. Applications of Radicals. Rational Exponents. Simplifying and Combining Radical Expressions. Multiplying and Dividing Radical Expressions. Radical Equations. Complex Numbers. Projects. Chapter Summary. Chapter 9 Test. 10. QUADRATIC FUNCTIONS, INEQUALITIES, AND ALGEBRA OF FUNCTIONS. Solving Quadratic Equations by completing the square. Solving Quadratic Equations by the Quadratic Formula. The Discriminant and Equations that can be Written in Quadratic Form. Graphs of Quadratic Functions. Quadratic and Other Nonlinear Inequalities. Algebra and Composition of Functions. Inverses of Functions. Projects. Chapter Summary. Chapter 10 Test. Cumulative Review Exercises. 11. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions. Base-e Exponential Functions. Logarithmic Functions. Base-e Logarithms. Properties of Logarithms. Exponential and Logarithmic Equations. Projects. Chapter Summary. Chapter 11 Test. 12. CONIC SECTIONS AND MORE GRAPHING. The Circle and the Parabola. The Ellipse. The Hyperbola. Piecewise-Defined Functions and the Greatest Integer Function. Projects. Chapter Summary. Chapter 12 Test. Cumulative Review Exercises. 13. MORE ON SYSTEMS OF EQUATIONS AND INEQUALITIES. Solutions of Two Equations and Two Variables. Solutions of Three Equations in Three Variables. Solution by Matrices. Solution by Determinants. Solving Simultaneous Second-Degree Equations and Inequalities. Projects. Chapter Summary. Chapter 13 Test. 14. MISCELLANEOUS TOPICS. The Binomial Theorem. The nth Term of a Binomial Expansion. Arithmetic Sequences. Geometric Sequences. Infinite Geometric Sequences. Permutations and Combinations. Probability. Projects. Chapter Summary. Chapter 14 Test. Cumulative Review Exercises. APPENDICES. Symmetries of Graphs. Tables. Answers to Selected Exercises.

## Reading Group Guide

1. REAL NUMBERS AND THEIR BASIC PROPERTIES. Real Numbers and Their Graphs. Fractions. Exponents and Order of Operations. Adding and Subtracting Real Numbers. Multiplying and Dividing Real Numbers. Algebraic Expressions. Properties of Real Numbers. Projects. Chapter Summary. Chapter 1 Test. 2. EQUATIONS AND INEQUALITIES. Solving Basic Equations. Solving More Equations. Simplifying Expressions to Solve Equations. Introduction to Problem Solving. Motion and Mixture Problems. Formulas. Solving Inequalities. Projects. Chapter Summary. Chapter 2 Test. Cumulative Review Exercises. 3. GRAPHING AND SOLVING SYSTEMS OF EQUATIONS AND INEQUALITIES. The Rectangular Coordinate System. Graphing Linear Equations. Solving Systems of Equations by Graphing. Solving Systems of Equations by Substitutions. Solving Systems of Equations by Addition. Applications of Systems of Equations. Systems of Linear Inequalities. Projects. Chapter Summary. Chapter 3 Test. 4. POLYNOMIALS. Natural-Number Exponents. Zero and Negative Integral Exponents. Scientific Notation. Polynomials and Polynomial Functions. Adding and Subtracting Polynomials. Multiplying Polynomials. Dividing Polynomials by Monomials. Dividing Polynomials by Polynomials. Projects. Chapter Summary. Chapter 4 Test. Cumulative Review Exercises. 5. FACTORING POLYNOMIALS. Factoring out the Greatest Common Factor: Factoring by Grouping. Factoring the Difference of Two Squares. Factoring Trinomials with Lead Coefficients of 1. Factoring General Trinomials. Factoring the Sum and Difference of Two Cubes. Summary of Factoring Techniques. Solving Equations by Factoring. Problem Solving. Projects. Chapter Summary. Chapter 5 Test. 6. PROPORTIONS AND RATIONAL EXPRESSIONS. Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Complex Fractions. Solving Equations That Contain Rational Expressions. Applications of Equations That Contain Rational Expressions. Ratios. Proportions and Similar Triangles. Projects. Chapter Summary. Chapter 6 Test. Cumulative Review Exercises. 7. MORE EQUATIONS, INEQUALITIES, AND FACTORING. Review of Equations and Inequalities. Equations Containing Absolute Values. Inequalities Containing Absolute Values. Review of Factoring. Review of Rational Expressions. Synthetic Division. Projects. Chapter Summary. Chapter 7 Test. 8. WRITING EQUATIONS OF LINES, FUNCTIONS, AND VARIATION. A Review of the Rectangular Coordinate System. Slope of a Nonvertical Line. Writing Equations of Lines. A Review of Functions. Graphs of Nonlinear Functions. Variation. Projects. Chapter Summary. Chapter 8 Test. Cumulative Review Exercises. 9. RADICALS AND RATIONAL EXPONENTS. Radical Expressions. Applications of Radicals. Rational Exponents. Simplifying and Combining Radical Expressions. Multiplying and Dividing Radical Expressions. Radical Equations. Complex Numbers. Projects. Chapter Summary. Chapter 9 Test. 10. QUADRATIC FUNCTIONS, INEQUALITIES, AND ALGEBRA OF FUNCTIONS. Solving Quadratic Equations by completing the square. Solving Quadratic Equations by the Quadratic Formula. The Discriminant and Equations that can be Written in Quadratic Form. Graphs of Quadratic Functions. Quadratic and Other Nonlinear Inequalities. Algebra and Composition of Functions. Inverses of Functions. Projects. Chapter Summary. Chapter 10 Test. Cumulative Review Exercises. 11. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions. Base-e Exponential Functions. Logarithmic Functions. Base-e Logarithms. Properties of Logarithms. Exponential and Logarithmic Equations. Projects. Chapter Summary. Chapter 11 Test. 12. CONIC SECTIONS AND MORE GRAPHING. The Circle and the Parabola. The Ellipse. The Hyperbola. Piecewise-Defined Functions and the Greatest Integer Function. Projects. Chapter Summary. Chapter 12 Test. Cumulative Review Exercises. 13. MORE ON SYSTEMS OF EQUATIONS AND INEQUALITIES. Solutions of Two Equations and Two Variables. Solutions of Three Equations in Three Variables. Solution by Matrices. Solution by Determinants. Solving Simultaneous Second-Degree Equations and Inequalities. Projects. Chapter Summary. Chapter 13 Test. 14. MISCELLANEOUS TOPICS. The Binomial Theorem. The nth Term of a Binomial Expansion. Arithmetic Sequences. Geometric Sequences. Infinite Geometric Sequences. Permutations and Combinations. Probability. Projects. Chapter Summary. Chapter 14 Test. Cumulative Review Exercises. APPENDICES. Symmetries of Graphs. Tables. Answers to Selected Exercises.

## Interviews

1. REAL NUMBERS AND THEIR BASIC PROPERTIES. Real Numbers and Their Graphs. Fractions. Exponents and Order of Operations. Adding and Subtracting Real Numbers. Multiplying and Dividing Real Numbers. Algebraic Expressions. Properties of Real Numbers. Projects. Chapter Summary. Chapter 1 Test. 2. EQUATIONS AND INEQUALITIES. Solving Basic Equations. Solving More Equations. Simplifying Expressions to Solve Equations. Introduction to Problem Solving. Motion and Mixture Problems. Formulas. Solving Inequalities. Projects. Chapter Summary. Chapter 2 Test. Cumulative Review Exercises. 3. GRAPHING AND SOLVING SYSTEMS OF EQUATIONS AND INEQUALITIES. The Rectangular Coordinate System. Graphing Linear Equations. Solving Systems of Equations by Graphing. Solving Systems of Equations by Substitutions. Solving Systems of Equations by Addition. Applications of Systems of Equations. Systems of Linear Inequalities. Projects. Chapter Summary. Chapter 3 Test. 4. POLYNOMIALS. Natural-Number Exponents. Zero and Negative Integral Exponents. Scientific Notation. Polynomials and Polynomial Functions. Adding and Subtracting Polynomials. Multiplying Polynomials. Dividing Polynomials by Monomials. Dividing Polynomials by Polynomials. Projects. Chapter Summary. Chapter 4 Test. Cumulative Review Exercises. 5. FACTORING POLYNOMIALS. Factoring out the Greatest Common Factor: Factoring by Grouping. Factoring the Difference of Two Squares. Factoring Trinomials with Lead Coefficients of 1. Factoring General Trinomials. Factoring the Sum and Difference of Two Cubes. Summary of Factoring Techniques. Solving Equations by Factoring. Problem Solving. Projects. Chapter Summary. Chapter 5 Test. 6. PROPORTIONS AND RATIONAL EXPRESSIONS. Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Complex Fractions. Solving Equations That Contain Rational Expressions. Applications of Equations That Contain Rational Expressions. Ratios. Proportions and Similar Triangles. Projects. Chapter Summary. Chapter 6 Test. Cumulative Review Exercises. 7. MORE EQUATIONS, INEQUALITIES, AND FACTORING. Review of Equations and Inequalities. Equations Containing Absolute Values. Inequalities Containing Absolute Values. Review of Factoring. Review of Rational Expressions. Synthetic Division. Projects. Chapter Summary. Chapter 7 Test. 8. WRITING EQUATIONS OF LINES, FUNCTIONS, AND VARIATION. A Review of the Rectangular Coordinate System. Slope of a Nonvertical Line. Writing Equations of Lines. A Review of Functions. Graphs of Nonlinear Functions. Variation. Projects. Chapter Summary. Chapter 8 Test. Cumulative Review Exercises. 9. RADICALS AND RATIONAL EXPONENTS. Radical Expressions. Applications of Radicals. Rational Exponents. Simplifying and Combining Radical Expressions. Multiplying and Dividing Radical Expressions. Radical Equations. Complex Numbers. Projects. Chapter Summary. Chapter 9 Test. 10. QUADRATIC FUNCTIONS, INEQUALITIES, AND ALGEBRA OF FUNCTIONS. Solving Quadratic Equations by completing the square. Solving Quadratic Equations by the Quadratic Formula. The Discriminant and Equations that can be Written in Quadratic Form. Graphs of Quadratic Functions. Quadratic and Other Nonlinear Inequalities. Algebra and Composition of Functions. Inverses of Functions. Projects. Chapter Summary. Chapter 10 Test. Cumulative Review Exercises. 11. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions. Base-e Exponential Functions. Logarithmic Functions. Base-e Logarithms. Properties of Logarithms. Exponential and Logarithmic Equations. Projects. Chapter Summary. Chapter 11 Test. 12. CONIC SECTIONS AND MORE GRAPHING. The Circle and the Parabola. The Ellipse. The Hyperbola. Piecewise-Defined Functions and the Greatest Integer Function. Projects. Chapter Summary. Chapter 12 Test. Cumulative Review Exercises. 13. MORE ON SYSTEMS OF EQUATIONS AND INEQUALITIES. Solutions of Two Equations and Two Variables. Solutions of Three Equations in Three Variables. Solution by Matrices. Solution by Determinants. Solving Simultaneous Second-Degree Equations and Inequalities. Projects. Chapter Summary. Chapter 13 Test. 14. MISCELLANEOUS TOPICS. The Binomial Theorem. The nth Term of a Binomial Expansion. Arithmetic Sequences. Geometric Sequences. Infinite Geometric Sequences. Permutations and Combinations. Probability. Projects. Chapter Summary. Chapter 14 Test. Cumulative Review Exercises. APPENDICES. Symmetries of Graphs. Tables. Answers to Selected Exercises.

## Recipe

1. REAL NUMBERS AND THEIR BASIC PROPERTIES. Real Numbers and Their Graphs. Fractions. Exponents and Order of Operations. Adding and Subtracting Real Numbers. Multiplying and Dividing Real Numbers. Algebraic Expressions. Properties of Real Numbers. Projects. Chapter Summary. Chapter 1 Test. 2. EQUATIONS AND INEQUALITIES. Solving Basic Equations. Solving More Equations. Simplifying Expressions to Solve Equations. Introduction to Problem Solving. Motion and Mixture Problems. Formulas. Solving Inequalities. Projects. Chapter Summary. Chapter 2 Test. Cumulative Review Exercises. 3. GRAPHING AND SOLVING SYSTEMS OF EQUATIONS AND INEQUALITIES. The Rectangular Coordinate System. Graphing Linear Equations. Solving Systems of Equations by Graphing. Solving Systems of Equations by Substitutions. Solving Systems of Equations by Addition. Applications of Systems of Equations. Systems of Linear Inequalities. Projects. Chapter Summary. Chapter 3 Test. 4. POLYNOMIALS. Natural-Number Exponents. Zero and Negative Integral Exponents. Scientific Notation. Polynomials and Polynomial Functions. Adding and Subtracting Polynomials. Multiplying Polynomials. Dividing Polynomials by Monomials. Dividing Polynomials by Polynomials. Projects. Chapter Summary. Chapter 4 Test. Cumulative Review Exercises. 5. FACTORING POLYNOMIALS. Factoring out the Greatest Common Factor: Factoring by Grouping. Factoring the Difference of Two Squares. Factoring Trinomials with Lead Coefficients of 1. Factoring General Trinomials. Factoring the Sum and Difference of Two Cubes. Summary of Factoring Techniques. Solving Equations by Factoring. Problem Solving. Projects. Chapter Summary. Chapter 5 Test. 6. PROPORTIONS AND RATIONAL EXPRESSIONS. Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Complex Fractions. Solving Equations That Contain Rational Expressions. Applications of Equations That Contain Rational Expressions. Ratios. Proportions and Similar Triangles. Projects. Chapter Summary. Chapter 6 Test. Cumulative Review Exercises. 7. MORE EQUATIONS, INEQUALITIES, AND FACTORING. Review of Equations and Inequalities. Equations Containing Absolute Values. Inequalities Containing Absolute Values. Review of Factoring. Review of Rational Expressions. Synthetic Division. Projects. Chapter Summary. Chapter 7 Test. 8. WRITING EQUATIONS OF LINES, FUNCTIONS, AND VARIATION. A Review of the Rectangular Coordinate System. Slope of a Nonvertical Line. Writing Equations of Lines. A Review of Functions. Graphs of Nonlinear Functions. Variation. Projects. Chapter Summary. Chapter 8 Test. Cumulative Review Exercises. 9. RADICALS AND RATIONAL EXPONENTS. Radical Expressions. Applications of Radicals. Rational Exponents. Simplifying and Combining Radical Expressions. Multiplying and Dividing Radical Expressions. Radical Equations. Complex Numbers. Projects. Chapter Summary. Chapter 9 Test. 10. QUADRATIC FUNCTIONS, INEQUALITIES, AND ALGEBRA OF FUNCTIONS. Solving Quadratic Equations by completing the square. Solving Quadratic Equations by the Quadratic Formula. The Discriminant and Equations that can be Written in Quadratic Form. Graphs of Quadratic Functions. Quadratic and Other Nonlinear Inequalities. Algebra and Composition of Functions. Inverses of Functions. Projects. Chapter Summary. Chapter 10 Test. Cumulative Review Exercises. 11. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions. Base-e Exponential Functions. Logarithmic Functions. Base-e Logarithms. Properties of Logarithms. Exponential and Logarithmic Equations. Projects. Chapter Summary. Chapter 11 Test. 12. CONIC SECTIONS AND MORE GRAPHING. The Circle and the Parabola. The Ellipse. The Hyperbola. Piecewise-Defined Functions and the Greatest Integer Function. Projects. Chapter Summary. Chapter 12 Test. Cumulative Review Exercises. 13. MORE ON SYSTEMS OF EQUATIONS AND INEQUALITIES. Solutions of Two Equations and Two Variables. Solutions of Three Equations in Three Variables. Solution by Matrices. Solution by Determinants. Solving Simultaneous Second-Degree Equations and Inequalities. Projects. Chapter Summary. Chapter 13 Test. 14. MISCELLANEOUS TOPICS. The Binomial Theorem. The nth Term of a Binomial Expansion. Arithmetic Sequences. Geometric Sequences. Infinite Geometric Sequences. Permutations and Combinations. Probability. Projects. Chapter Summary. Chapter 14 Test. Cumulative Review Exercises. APPENDICES. Symmetries of Graphs. Tables. Answers to Selected Exercises.