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Elementary Algebra, 5th Edition, is designed to provide students with the algebra background needed for further college-level mathematics courses. The unifying theme of the text is the development of the skills necessary for solving equations and inqualities, followed by the application of those skills to solving applied problems.
Chapter 1 Real Numbers and Their Properties
1.1 The Real Numbers
1.2 Fractions
1.3 Addition and Subtraction of Real Numbers
1.4 Multiplication and Division of Real Numbers
1.5 Exponential Expressions and the Order of Operations
1.6 Algebraic Expressions
1.7 Properties of the Real Numbers
1.8 Using the Properties to Simplify Expressions
Chapter 2 Linear Equations and Inequalities in One Variable
2.1 The Addition and Multiplication Properties of Equality
2.2 Solving General Linear Equations
2.3 More Equations
2.4 Formulas
2.5 Translating Verbal Expressions into Algebraic Expressions
2.6 Number, Geometric, and Uniform Motion Applications
2.7 Discount, Investment, and Mixture Applications
2.8 Inequalities
2.9 Solving Inequalities and Applications
Chapter 3 Linear Equations in Two Variables and Their Graphs
3.1 Graphing Lines in the Coordinate Plane
3.2 Slope
3.3 Equations of Lines in Slope-Intercept Form
3.4 The Point-Slope Form
3.5 Variation
Chapter 4 Systems of Linear Equations and Inequalities
4.1 The Graphing Method
4.2 The Substitution Method
4.3 The Addition Method
4.4 Graphing Linear Inequalities in Two Variables
4.5 Graphing Systems of Linear Inequalities
Chapter 5 Polynomials and Exponents
5.1 Addition and Subtraction of Polynomials
5.2 Multiplication of Polynomials
5.3 Multiplication of Binomials
5.4 Special Products
5.5 Division of Polynomials
5.6 Nonnegative Integral Exponents
5.7 Negative Exponents and Scientific Notation
Chapter 6 Factoring
6.1 Factoring Out Common Factors
6.2 Factoring the Special Products and Factoring by Grouping
6.3 Factoring ax^2 + bx + c with a = 1
6.4 Factoring ax^2 + bx + c with a not = to 1
6.5 Factoring a Difference or Sum of Two Cubes
6.6 Solving Quadratic Equations by Factoring
Chapter 7 Rational Expressions
7.1 Reducing Rational Expressions
7.2 Multiplication and Division
7.3 Finding the Least Common Denominator
7.4 Addition and Subtraction
7.5 Complex Fractions
7.6 Solving Equations with Rational Expressions
7.7 Applications of Ratios and Proportions
7.8 Applications of Rational Expressions
Chapter 8 Powers and Roots
8.1 Roots, Radicals, and Rules
8.2 Simplifying Square Roots
8.3 Operations with Radicals
8.4 Solving Equations with Radicals and Exponents
8.5 Fractional Exponents
Chapter 9 Quadratic Equations, Parabolas, and Functions
9.1 The Square Root Property and Factoring
9.2 Completing the Square
9.3 The Quadratic Formula
9.4 Applications of Quadratic Equations
9.5 Complex Numbers
9.6 Graphing Parabolas
9.7 Introduction to Functions
9.8 Combining Functions
Appendix A Geometry Review Exercises
Appendix B Sets
Appendix C Final Exam Review
About the Authors
Elementary Algebra, 5th Edition, is designed to provide students with the algebra background needed for further college-level mathematics courses. The unifying theme of the text is the development of the skills necessary for solving equations and inqualities, followed by the application of those skills to solving applied problems.
Table of Contents
Chapter 1 Real Numbers and Their Properties
1.1 The Real Numbers
1.2 Fractions
1.3 Addition and Subtraction of Real Numbers
1.4 Multiplication and Division of Real Numbers
1.5 Exponential Expressions and the Order of Operations
1.6 Algebraic Expressions
1.7 Properties of the Real Numbers
1.8 Using the Properties to Simplify Expressions
Chapter 2 Linear Equations and Inequalities in One Variable
2.1 The Addition and Multiplication Properties of Equality
2.2 Solving General Linear Equations
2.3 More Equations
2.4 Formulas
2.5 Translating Verbal Expressions into Algebraic Expressions
2.6 Number, Geometric, and Uniform Motion Applications
2.7 Discount, Investment, and Mixture Applications
2.8 Inequalities
2.9 Solving Inequalities and Applications
Chapter 3 Linear Equations in Two Variables and Their Graphs
3.1 Graphing Lines in the Coordinate Plane
3.2 Slope
3.3 Equations of Lines in Slope-Intercept Form
3.4 The Point-Slope Form
3.5 Variation
Chapter 4 Systems of Linear Equations and Inequalities
4.1 The Graphing Method
4.2 The Substitution Method
4.3 The Addition Method
4.4 Graphing Linear Inequalities in Two Variables
4.5 Graphing Systems of Linear Inequalities
Chapter 5 Polynomials and Exponents
5.1 Addition and Subtraction of Polynomials
5.2 Multiplication of Polynomials
5.3 Multiplication of Binomials
5.4 Special Products
5.5 Division of Polynomials
5.6 Nonnegative Integral Exponents
5.7 Negative Exponents and Scientific Notation
Chapter 6 Factoring
6.1 Factoring Out Common Factors
6.2 Factoring the Special Products and Factoring by Grouping
6.3 Factoring ax^2 + bx + c with a = 1
6.4 Factoring ax^2 + bx + c with a not = to 1
6.5 Factoring a Difference or Sum of Two Cubes
6.6 Solving Quadratic Equations by Factoring
Chapter 7 Rational Expressions
7.1 Reducing Rational Expressions
7.2 Multiplication and Division
7.3 Finding the Least Common Denominator
7.4 Addition and Subtraction
7.5 Complex Fractions
7.6 Solving Equations with Rational Expressions
7.7 Applications of Ratios and Proportions
7.8 Applications of Rational Expressions
Chapter 8 Powers and Roots
8.1 Roots, Radicals, and Rules
8.2 Simplifying Square Roots
8.3 Operations with Radicals
8.4 Solving Equations with Radicals and Exponents
8.5 Fractional Exponents
Chapter 9 Quadratic Equations, Parabolas, and Functions
9.1 The Square Root Property and Factoring
9.2 Completing the Square
9.3 The Quadratic Formula
9.4 Applications of Quadratic Equations
9.5 Complex Numbers
9.6 Graphing Parabolas
9.7 Introduction to Functions
9.8 Combining Functions
Appendix A Geometry Review Exercises
Appendix B Sets
Appendix C Final Exam Review
About the Authors