Geared toward helping students learn and apply mathematics by incorporating the five-step problem-solving process, this text integrates real-world applications with 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 of 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 variety of exercises. Among the features added or revised, are the Technology Connection Boxes, Collaborative Corner Exercises, and World Wide Web integration. 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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ISBN-13
978-0-201-84749-9 (9780201847499)
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Schweitzer Klassifikation
(Each chapter includes an Introduction, Summary, Review and Test.)
1. Introduction to Algebraic Expressions.
The Commutative, Associative, and Distributive Laws.
Fractional 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.
Interpreting Graphs and Ordered Pairs.
Graphing Linear Equations.
More with Graphing and Intercepts.
More Applications Using Graphs.
Slope.
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.
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.
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.
Formulas.
7. More with Graphing.
Slope-Intercept Form.
Point-Slope Form.
Linear Inequalities in Two Variables.
Direct and Inverse Variation.
8. Systems of Equations and Problem Solving.
Systems of Equations and Graphing.
Systems of Equations and Substitution.
Systems of Equations.
More Applications Using Equations.
Systems of Linear Inequalities.
9. Radical Expressions and Equations.
Multiplying and Simplifying Radical Expressions.
Quotients Involving Square Roots.
More Operations with Radicals.
Radical Equations.
Applications Using Right Triangles.
Higher Roots and Rational Exponents.
10. Quadratic Equations.
Solving Quadratic Equations: The Principle of Square Roots.
Solving Quadratic Equations: Completing the Square.
The Quadratic Formula and Applications.
Complex Numbers as Solutions of Quadratic Equations.
Graphs of Quadratic Equations.
Functions.
