The Sixth Edition of Elementary Algebra: Concepts and Applications continues to bring your students a best-selling text that incorporates the five-step problem-solving process, real-world applications, proven pedagogy, and an accessible writing style. The Bittinger/Ellenbogen hardback series has consistently provided teachers and students with the tools needed to succeed in developmental mathematics. With this revision, the authors have maintained all the hallmark features that have made this series so successful, including its five-step problem-solving process, student-oriented writing style, real-data applications, and wide variety of exercises. Among the features added or revised are new Aha! exercises that encourage students to think before jumping in to solve a problem, 20% new real-data applications, and 50% more Skill Maintenance Exercises . This series not only provides students with the tools necessary to learn and understand math, but also provides them with insights into how math works in the world around them.
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Höhe: 254 mm
Breite: 216 mm
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ISBN-13
978-0-201-71965-9 (9780201719659)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
(Each Chapter ends with a Summary and Review and a Chapter Test. Chapters 3, 6, and 9 are followed by a Cumulative Review.).
1. Introduction to Algebraic Expressions.
Introduction to Algebra.
The Commutative, Associative, and Distributive Laws.
Fraction Notation.
Positive and Negative Real Numbers.
Addition of Real Numbers.
Subtraction of Real Numbers.
Multiplication and Division of Real Numbers.
Exponential Notation and Order of Operations.
2. Equations, Inequalities, and Problem Solving.
Solving Equations.
Using the Principles Together.
Formulas.
Applications with Percent.
Problem Solving.
Solving Inequalities.
Solving Applications with Inequalities.
3. Introduction to Graphing.
Reading Graphs, Plotting Points, and Estimating Values.
Graphing Linear Equations.
Graphing and Intercepts.
Rates.
Slope.
Slope-Intercept Form.
Point-Slope Form.
4. Polynomials.
Exponents and Their Properties.
Polynomials.
Addition and Subtraction of Polynomials.
Multiplication of Polynomials.
Special Products.
Polynomials in Several Variables.
Division of Polynomials.
Negative Exponents and Scientific Notation.
5. Polynomials and Factoring.
Introduction to Factoring.
Factoring Trinomials of the Type x2 + bx + c.
Factoring Trinomials of the Type ax2 bx + c.
Factoring Perfect-Square Trinomials and Differences of Squares.
Factoring: A General Strategy.
Solving Quadratic Equations by Factoring.
Solving Applications.
6. Rational Expressions and Equations.
Rational Expressions.
Multiplication and Division.
Addition, Subtraction, and Least Common Denominators.
Addition and Subtraction with Unlike Denominators.
Complex Rational Expressions.
Solving Rational Equations.
Applications Using Rational Equations and Proportions.
7. Systems and More Graphing.
Systems of Equations and Graphing.
Systems of Equations and Substitution.
Systems of Equations and Elimination.
More Applications Using Systems.
Linear Inequalities in Two Variables.
Systems of Linear Inequalities.
Direct and Inverse Variation.
8. Radical Expressions and Equations.
Introduction to Square Roots and Radical Expressions.
Multiplying and Simplifying Radical Expressions.
Quotients Involving Square Roots.
More Operations with Radicals.
Radical Equations.
Applications Using Right Triangles.
Higher Roots and Rational Exponents.
9. Quadratic Equations.
Solving Quadratic Equations: The Principle of Square Roots.
Solving Quadratic Equations: Completing the Square.
The Quadratic Formula and Applications.
Formulas and Equations.
Complex Numbers as Solutions of Quadratic Equations.
Graphs of Quadratic Equations.
Functions.
Appendices
Appendix A: Sets
Appendix B: Factoring Sums or Differences of Cubes
Tables
Table 1: Fractional and Decimal Equivalents
Table 2: Squares and Square Roots
Table 3: Geometric Formulas
Answers.
Index.
