| Titre : |
Elementary algebra |
| Type de document : |
texte imprimé |
| Auteurs : |
Mark Dugopolski |
| Mention d'édition : |
4e éd |
| Editeur : |
Boston - Massachusetts -- États-Unis : McGraw-Hill |
| Année de publication : |
2004 |
| Importance : |
xxiv, 524 p. |
| Présentation : |
ill. (certaines en coul.) |
| Format : |
26 cm |
| ISBN/ISSN/EAN : |
978-0-07-244391-2 |
| Note générale : |
Index |
| Langues : |
Anglais (eng) |
| Catégories : |
Algèbre
|
| Index. décimale : |
512.9 |
| Résumé : |
Designed to provide students with the algebra background needed for further college-level mathematics courses. This text aims to develop the skills necessary for solving equations and inequalities, followed by the application of those skills to solving applied problems |
| Note de contenu : |
Ch. 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 -- Ch. 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 -- Ch. 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 -- 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 -- Ch. 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 -- Ch. 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 equal to 1 -- 6.5 Factoring a Difference or Sum of Two Cubes -- 6.6 Solving Quadratic Equations by Factoring -- 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 -- Ch. 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 -- Ch. 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 -- Appendix B. Table of Squares and Square Roots -- Appendix C. Common Logarithms -- Appendix D. Answers to Selected Exercises |
Elementary algebra [texte imprimé] / Mark Dugopolski . - 4e éd . - Boston - Massachusetts -- États-Unis (Boston - Massachusetts -- États-Unis) : McGraw-Hill, 2004 . - xxiv, 524 p. : ill. (certaines en coul.) ; 26 cm. ISBN : 978-0-07-244391-2 Index Langues : Anglais ( eng)
| Catégories : |
Algèbre
|
| Index. décimale : |
512.9 |
| Résumé : |
Designed to provide students with the algebra background needed for further college-level mathematics courses. This text aims to develop the skills necessary for solving equations and inequalities, followed by the application of those skills to solving applied problems |
| Note de contenu : |
Ch. 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 -- Ch. 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 -- Ch. 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 -- 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 -- Ch. 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 -- Ch. 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 equal to 1 -- 6.5 Factoring a Difference or Sum of Two Cubes -- 6.6 Solving Quadratic Equations by Factoring -- 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 -- Ch. 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 -- Ch. 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 -- Appendix B. Table of Squares and Square Roots -- Appendix C. Common Logarithms -- Appendix D. Answers to Selected Exercises |
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