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# Loose Leaf Version for Intermediate Algebra / Edition 2

Loose Leaf Version for Intermediate Algebra / Edition 2 available in Other Format

- ISBN-10:
- 0077366581
- ISBN-13:
- 9780077366582
- Pub. Date:
- 07/10/2009
- Publisher:
- McGraw-Hill Companies,Inc.

## Overview

*Intermediate Algebra* offers a refreshing approach to the traditional content of the course. Presented in worktext format, Intermediate Algebra offers a review of problem solving, solving equations in two and three variables, a chapter devoted to functions, polynomials, radicals and complex numbers, factoring and quadratic functions, rational expressions, and inequalities. Other topics include exponential and logarithmic functions and conic sections. The text reflects the compassion and insight of its experienced author team with features developed to address the specific needs of developmental level students.

## Product Details

ISBN-13: | 9780077366582 |
---|---|

Publisher: | McGraw-Hill Companies,Inc. |

Publication date: | 07/10/2009 |

Product dimensions: | 8.50(w) x 11.00(h) x 1.30(d) |

## Read an Excerpt

*Intermediate Algebra* offers a refreshing approach to the traditional content of the course. Presented in worktext format, Intermediate Algebra offers a review of problem solving, solving equations in two and three variables, a chapter devoted to functions, polynomials, radicals and complex numbers, factoring and quadratic functions, rational expressions, and inequalities. Other topics include exponential and logarithmic functions and conic sections. The text reflects the compassion and insight of its experienced author team with features developed to address the specific needs of developmental level students.

## First Chapter

*Intermediate Algebra* offers a refreshing approach to the traditional content of the course. Presented in worktext format, Intermediate Algebra offers a review of problem solving, solving equations in two and three variables, a chapter devoted to functions, polynomials, radicals and complex numbers, factoring and quadratic functions, rational expressions, and inequalities. Other topics include exponential and logarithmic functions and conic sections. The text reflects the compassion and insight of its experienced author team with features developed to address the specific needs of developmental level students.

## Table of Contents

Chapter 1 Review of Basic Algebraic Concepts

Chapter 2 Graphing Linear Equations and Functions

2.1 Linear Equations in Two Variables2.2 Slope of a Line -- Problem Recognition Exercises: Intercepts and Slope2.3 Equations of a Line2.4 Application of Linear Equations and Modeling2.5 Introduction to Relations2.6 Introduction to Functions2.7 Graphs of Basic Functions

Chapter 3 Systems of Linear Equations

3.1 Solving Systems of Linear Equations by Graphing3.2 Solving Systems of Linear Equations by Using the Substitution Method3.3 Solving Systems of Linear Equations by Using the Addition Method -- Problem Recognition Exercises: Method of Solving Systems of Equations3.4 Applications of Systems of Linear Equations in Two Variables3.5 Systems of Linear Equations in Three Variables and Applications3.6 Solving Systems of Linear Equations by Using Matrices

Chapter 4 Polynomials

4.1 Addition and Subtraction of Polynomials and Polynomial Functions.4.2 Multiplication of Polynomials4.3 Division of Polynomials -- Problem Recognition Exercises: Operations on Polynomials4.4 Greatest Common Factor and Factoring by Grouping4.5 Factoring Trinomials4.6 Factoring Binomials4.7 Additional Factoring Strategies4.8 Solving Equations by Using the Zero Product Rule

Chapter 5 Rational Expressions and Rational Equations

5.1 Rational Expressions and Rational Functions5.2 Multiplication and Division of Rational Expressions5.3 Addition and Subtraction of Rational Expressions5.4 Complex Fractions -- Problem Recognition Exercises: Simplifying Rational Expressions5.5 Solving Rational Equations -- Problem Recognition Exercises: Rational Expressions and Equations5.6 Applications of Rational Equations and Proportions5.7 Variation

Chapter 6 Radicals and Complex Numbers

6.1 Definition of an nth-Root6.2 Rational Exponents6.3 Simplifying Radical Expressions6.4 Addition and Subtraction of Radicals6.5 Multiplication of Radicals -- Problem Recognition Exercises: Operations on Radical Expressions6.6 Rationalization6.7 Solving Radical Equations6.8 Complex Numbers

Chapter 7 Quadratic Equations and Functions

7.1 Square Root Property and Completing the Square7.2 Quadratic Formula7.3 Equations in Quadratic Form -- Problem Recognition Exercises: Recognizing Equation Types7.4 Graphs of Quadratic Functions7.5 Applications of Quadratic Functions and Modeling

Chapter 8 More Equations and Inequalities

8.1 Compound Inequalities8.2 Polynomial and Rational Inequalities8.3 Absolute Value Equations8.4 Absolute Value Inequalities -- Problem Recognition Exercises: Equations and Inequalities8.5 Linear Inequalities in Two Variables

Chapter 9 Exponential and Logarithmic Functions

9.1 Algebra and Composition of Functions9.2 Inverse Functions9.3 Exponential Functions9.4 Logarithmic Functions9.5 Properties of Logarithms9.6 The Irrational Number e -- Problem Recognition Exercises: Logarithmic and Exponential Forms9.7 Exponential and Logarithmic Equations

Chapter 10 Conic Sections

10.1 Distance Formula, Midpoint, and Circles10.2 More of the Parabola10.3 The Ellipse and Hyperbola -- Problem Recognition Exercises: Identifying and Graphing Conic Sections10.4 Nonlinear Systems of Equations in Two Variables10.5 Nonlinear Inequalities and System if Inequalities

Additional Topics Appendix

A.1 Binomial ExpansionsA.2 Determinants and Cramer’s RuleA.3 Sequences and SeriesA.4 Arithmetic and Geometric Sequences and Series

## Reading Group Guide

Chapter 1 Review of Basic Algebraic Concepts

Chapter 2 Graphing Linear Equations and Functions

2.1 Linear Equations in Two Variables2.2 Slope of a Line -- Problem Recognition Exercises: Intercepts and Slope2.3 Equations of a Line2.4 Application of Linear Equations and Modeling2.5 Introduction to Relations2.6 Introduction to Functions2.7 Graphs of Basic Functions

Chapter 3 Systems of Linear Equations

3.1 Solving Systems of Linear Equations by Graphing3.2 Solving Systems of Linear Equations by Using the Substitution Method3.3 Solving Systems of Linear Equations by Using the Addition Method -- Problem Recognition Exercises: Method of Solving Systems of Equations3.4 Applications of Systems of Linear Equations in Two Variables3.5 Systems of Linear Equations in Three Variables and Applications3.6 Solving Systems of Linear Equations by Using Matrices

Chapter 4 Polynomials

4.1 Addition and Subtraction of Polynomials and Polynomial Functions.4.2 Multiplication of Polynomials4.3 Division of Polynomials -- Problem Recognition Exercises: Operations on Polynomials4.4 Greatest Common Factor and Factoring by Grouping4.5 Factoring Trinomials4.6 Factoring Binomials4.7 Additional Factoring Strategies4.8 Solving Equations by Using the Zero Product Rule

Chapter 5 Rational Expressions and Rational Equations

5.1 Rational Expressions and Rational Functions5.2 Multiplication and Division of Rational Expressions5.3 Addition and Subtraction of Rational Expressions5.4 Complex Fractions -- Problem Recognition Exercises: Simplifying Rational Expressions5.5 Solving Rational Equations -- Problem Recognition Exercises: Rational Expressions and Equations5.6 Applications of Rational Equations and Proportions5.7 Variation

Chapter 6 Radicals and Complex Numbers

6.1 Definition of an nth-Root6.2 Rational Exponents6.3 Simplifying Radical Expressions6.4 Addition and Subtraction of Radicals6.5 Multiplication of Radicals -- Problem Recognition Exercises: Operations on Radical Expressions6.6 Rationalization6.7 Solving Radical Equations6.8 Complex Numbers

Chapter 7 Quadratic Equations and Functions

7.1 Square Root Property and Completing the Square7.2 Quadratic Formula7.3 Equations in Quadratic Form -- Problem Recognition Exercises: Recognizing Equation Types7.4 Graphs of Quadratic Functions7.5 Applications of Quadratic Functions and Modeling

Chapter 8 More Equations and Inequalities

8.1 Compound Inequalities8.2 Polynomial and Rational Inequalities8.3 Absolute Value Equations8.4 Absolute Value Inequalities -- Problem Recognition Exercises: Equations and Inequalities8.5 Linear Inequalities in Two Variables

Chapter 9 Exponential and Logarithmic Functions

9.1 Algebra and Composition of Functions9.2 Inverse Functions9.3 Exponential Functions9.4 Logarithmic Functions9.5 Properties of Logarithms9.6 The Irrational Number e -- Problem Recognition Exercises: Logarithmic and Exponential Forms9.7 Exponential and Logarithmic Equations

Chapter 10 Conic Sections

10.1 Distance Formula, Midpoint, and Circles10.2 More of the Parabola10.3 The Ellipse and Hyperbola -- Problem Recognition Exercises: Identifying and Graphing Conic Sections10.4 Nonlinear Systems of Equations in Two Variables10.5 Nonlinear Inequalities and System if Inequalities

Additional Topics Appendix

A.1 Binomial ExpansionsA.2 Determinants and Cramer’s RuleA.3 Sequences and SeriesA.4 Arithmetic and Geometric Sequences and Series

## Interviews

Chapter 1 Review of Basic Algebraic Concepts

Chapter 2 Graphing Linear Equations and Functions

2.1 Linear Equations in Two Variables2.2 Slope of a Line -- Problem Recognition Exercises: Intercepts and Slope2.3 Equations of a Line2.4 Application of Linear Equations and Modeling2.5 Introduction to Relations2.6 Introduction to Functions2.7 Graphs of Basic Functions

Chapter 3 Systems of Linear Equations

3.1 Solving Systems of Linear Equations by Graphing3.2 Solving Systems of Linear Equations by Using the Substitution Method3.3 Solving Systems of Linear Equations by Using the Addition Method -- Problem Recognition Exercises: Method of Solving Systems of Equations3.4 Applications of Systems of Linear Equations in Two Variables3.5 Systems of Linear Equations in Three Variables and Applications3.6 Solving Systems of Linear Equations by Using Matrices

Chapter 4 Polynomials

4.1 Addition and Subtraction of Polynomials and Polynomial Functions.4.2 Multiplication of Polynomials4.3 Division of Polynomials -- Problem Recognition Exercises: Operations on Polynomials4.4 Greatest Common Factor and Factoring by Grouping4.5 Factoring Trinomials4.6 Factoring Binomials4.7 Additional Factoring Strategies4.8 Solving Equations by Using the Zero Product Rule

Chapter 5 Rational Expressions and Rational Equations

5.1 Rational Expressions and Rational Functions5.2 Multiplication and Division of Rational Expressions5.3 Addition and Subtraction of Rational Expressions5.4 Complex Fractions -- Problem Recognition Exercises: Simplifying Rational Expressions5.5 Solving Rational Equations -- Problem Recognition Exercises: Rational Expressions and Equations5.6 Applications of Rational Equations and Proportions5.7 Variation

Chapter 6 Radicals and Complex Numbers

6.1 Definition of an nth-Root6.2 Rational Exponents6.3 Simplifying Radical Expressions6.4 Addition and Subtraction of Radicals6.5 Multiplication of Radicals -- Problem Recognition Exercises: Operations on Radical Expressions6.6 Rationalization6.7 Solving Radical Equations6.8 Complex Numbers

Chapter 7 Quadratic Equations and Functions

7.1 Square Root Property and Completing the Square7.2 Quadratic Formula7.3 Equations in Quadratic Form -- Problem Recognition Exercises: Recognizing Equation Types7.4 Graphs of Quadratic Functions7.5 Applications of Quadratic Functions and Modeling

Chapter 8 More Equations and Inequalities

8.1 Compound Inequalities8.2 Polynomial and Rational Inequalities8.3 Absolute Value Equations8.4 Absolute Value Inequalities -- Problem Recognition Exercises: Equations and Inequalities8.5 Linear Inequalities in Two Variables

Chapter 9 Exponential and Logarithmic Functions

9.1 Algebra and Composition of Functions9.2 Inverse Functions9.3 Exponential Functions9.4 Logarithmic Functions9.5 Properties of Logarithms9.6 The Irrational Number e -- Problem Recognition Exercises: Logarithmic and Exponential Forms9.7 Exponential and Logarithmic Equations

Chapter 10 Conic Sections

10.1 Distance Formula, Midpoint, and Circles10.2 More of the Parabola10.3 The Ellipse and Hyperbola -- Problem Recognition Exercises: Identifying and Graphing Conic Sections10.4 Nonlinear Systems of Equations in Two Variables10.5 Nonlinear Inequalities and System if Inequalities

Additional Topics Appendix

A.1 Binomial ExpansionsA.2 Determinants and Cramer’s RuleA.3 Sequences and SeriesA.4 Arithmetic and Geometric Sequences and Series

## Recipe

Chapter 1 Review of Basic Algebraic Concepts

Chapter 2 Graphing Linear Equations and Functions

2.1 Linear Equations in Two Variables2.2 Slope of a Line -- Problem Recognition Exercises: Intercepts and Slope2.3 Equations of a Line2.4 Application of Linear Equations and Modeling2.5 Introduction to Relations2.6 Introduction to Functions2.7 Graphs of Basic Functions

Chapter 3 Systems of Linear Equations

3.1 Solving Systems of Linear Equations by Graphing3.2 Solving Systems of Linear Equations by Using the Substitution Method3.3 Solving Systems of Linear Equations by Using the Addition Method -- Problem Recognition Exercises: Method of Solving Systems of Equations3.4 Applications of Systems of Linear Equations in Two Variables3.5 Systems of Linear Equations in Three Variables and Applications3.6 Solving Systems of Linear Equations by Using Matrices

Chapter 4 Polynomials

4.1 Addition and Subtraction of Polynomials and Polynomial Functions.4.2 Multiplication of Polynomials4.3 Division of Polynomials -- Problem Recognition Exercises: Operations on Polynomials4.4 Greatest Common Factor and Factoring by Grouping4.5 Factoring Trinomials4.6 Factoring Binomials4.7 Additional Factoring Strategies4.8 Solving Equations by Using the Zero Product Rule

Chapter 5 Rational Expressions and Rational Equations

5.1 Rational Expressions and Rational Functions5.2 Multiplication and Division of Rational Expressions5.3 Addition and Subtraction of Rational Expressions5.4 Complex Fractions -- Problem Recognition Exercises: Simplifying Rational Expressions5.5 Solving Rational Equations -- Problem Recognition Exercises: Rational Expressions and Equations5.6 Applications of Rational Equations and Proportions5.7 Variation

Chapter 6 Radicals and Complex Numbers

6.1 Definition of an nth-Root6.2 Rational Exponents6.3 Simplifying Radical Expressions6.4 Addition and Subtraction of Radicals6.5 Multiplication of Radicals -- Problem Recognition Exercises: Operations on Radical Expressions6.6 Rationalization6.7 Solving Radical Equations6.8 Complex Numbers

Chapter 7 Quadratic Equations and Functions

7.1 Square Root Property and Completing the Square7.2 Quadratic Formula7.3 Equations in Quadratic Form -- Problem Recognition Exercises: Recognizing Equation Types7.4 Graphs of Quadratic Functions7.5 Applications of Quadratic Functions and Modeling

Chapter 8 More Equations and Inequalities

8.1 Compound Inequalities8.2 Polynomial and Rational Inequalities8.3 Absolute Value Equations8.4 Absolute Value Inequalities -- Problem Recognition Exercises: Equations and Inequalities8.5 Linear Inequalities in Two Variables

Chapter 9 Exponential and Logarithmic Functions

9.1 Algebra and Composition of Functions9.2 Inverse Functions9.3 Exponential Functions9.4 Logarithmic Functions9.5 Properties of Logarithms9.6 The Irrational Number e -- Problem Recognition Exercises: Logarithmic and Exponential Forms9.7 Exponential and Logarithmic Equations

Chapter 10 Conic Sections

10.1 Distance Formula, Midpoint, and Circles10.2 More of the Parabola10.3 The Ellipse and Hyperbola -- Problem Recognition Exercises: Identifying and Graphing Conic Sections10.4 Nonlinear Systems of Equations in Two Variables10.5 Nonlinear Inequalities and System if Inequalities

Additional Topics Appendix

A.1 Binomial ExpansionsA.2 Determinants and Cramer’s RuleA.3 Sequences and SeriesA.4 Arithmetic and Geometric Sequences and Series