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# Introductory and Intermediate Algebra through Applications

**by**Akst, Geoffrey; Bragg, Sadie

2nd

### 9780321535788

0321535782

Paperback

1/31/2008

Pearson

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## Summary

Presented in a clear and concise style, theAkst/Braggseries teaches by example while expanding understanding with applications that are fully integrated throughout the text and exercise sets. Akst/Braggrs"s user-friendly design offers a distinctive side-by-side format that pairs each example and its solution with a corresponding practice exercise. The concise writing style keeps readersrs" interest and attention by presenting the mathematics with minimal distractions, and the motivating real-world applications demonstrate how integral mathematical understanding is to a variety of disciplines, careers, and everyday situations.

## Author Biography

Geoffrey Akst and Sadie Bragg have worked together for many years as professors of mathematics at Borough of Manhattan Community College/City University of New York. They met as graduate students at Teachers College, Columbia University, where they were both working on degrees in the teaching of college mathematics. The emphasis on applications in their texts reflects a concern they share for helping students understand why the topics to be studied are useful. Dr. Akst for years has begun his classes with the payoff question: why is this material worth learning? A native New Yorker, he enjoys surfing the Web, listening to good music, and traveling to exciting places. Dr. Bragg, who began her career in math education as a high school geometry teacher, credits her teachers with inspiring her love for mathematics and an appreciation of its utility. A transplanted Virginian, she spends her time with her family and her beautiful granddaughter, Maya.

## Table of Contents

Prealgebra Review | |

Exponents and Order of Operations | |

Factors, Primes, and Least Common Multiples | |

Fractions | |

Decimals | |

Percents | |

Real Numbers and Algebraic Expressions | |

Real Numbers and the Real Number Line | |

Addition of Real Numbers | |

Subtraction of Real Numbers | |

Multiplication and Division of Real Numbers | |

Properties of Real Numbers | |

Algebraic Expressions, Translations, and Exponents | |

Simplifying Algebraic Expressions | |

Translating and Evaluating Algebraic Expressions | |

Solving Linear Equations and Inequalities | |

Solving Linear Equations: the Addition Property | |

Solving Linear Equations: the Multiplication Property | |

Solving Linear Equations by Combining Properties | |

Applications of Linear Equations: Formulas | |

Solving Linear Inequalities | |

Graphing Linear Equations and Inequalities; Functions | |

The Rectangular Coordinate System | |

Graphing Linear Equations | |

Slope of a Line | |

Linear Equations and their Graphs | |

Graphing Linear Inequalities | |

Introduction to Functions | |

Systems of Equations and Inequalities | |

Solving Systems of Linear Equations by Graphing | |

Solving Systems of Linear Equations by Substitution | |

Solving Systems of Linear Equations by Elimination | |

Solving Systems of Linear Inequalities | |

Exponents and Polynomials | |

Laws of Exponents | |

Negative Exponents and Scientific Notation | |

Addition and Subtraction of Polynomials | |

Multiplication of Polynomials | |

Special Products | |

Division of Polynomials | |

Factoring Polynomials | |

Common Factors and Factoring by Grouping | |

Factoring Trinomials Whose Leading Coefficient is One | |

Factoring Trinomials Whose Leading Coefficient is not One | |

Special Factoring | |

More on Factoring and Factoring Strategies | |

Solving Quadratic Equations by Factoring | |

Rational Expressions and Equations | |

Rational Expressions and Functions | |

Multiplication and Division of Rational Expressions | |

Addition and Subtraction of Rational Expressions | |

Complex Rational Expressions | |

Solving Rational equations | |

Ratio and Proportion; Variation | |

Radical Expressions and Equations | |

Rational Exponents | |

Radical Expressions and Functions | |

Simplifying Radical Expressions | |

Addition and Subtraction of Radical Expressions | |

Multiplication and Division of Radical Expressions | |

Solving Radical Equations | |

Complex Numbers | |

Quadratic Equations, Functions, and Inequalities | |

Solving Quadratic Equations: Square Root Property and Completing the Square | |

Solving Quadratic Equations: Quadratic Formula | |

More on Quadratic Equations | |

Graphing Quadratic Functions | |

Compound Inequalities and Solving Quadratic and Rational Inequalities | |

Exponential and Logarithmic Functions | |

More on Functions the Algebra of Functions | |

Inverse Functions | |

Exponential Functions | |

Logarithmic Functions | |

Properties of Logarithms | |

Common Logarithms, Natural Logarithms, and Change of Bases | |

Exponential and Logarithmic Equations | |

Conic Sections and Nonlinear Systems | |

Introduction to Conics the Parabola | |

The Circle | |

The Ellipse and the Hyperbola | |

Solving Nonlinear Systems of Equations | |

Solving Nonlinear Inequalities and Nonlinear Systems of Inequalities | |

Appendix A | |

Review Solving Linear Equations and Inequalities | |

Absolute Value Equations and Inequalities | |

More on Systems of Linear Equations | |

Solving Systems of Linear Equations by Using Matrices | |

Appendix B | |

Determinants / Cramer's Rule | |

Synthetic Division and the Remainder Theorem | |

Sequences (Arithmetic and Geometric) | |

Series | |

Table of Contents provided by Publisher. All Rights Reserved. |