Introductory and Intermediate Algebra through Applications

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  • Edition: 2nd
  • Format: Paperback
  • Copyright: 2008-01-31
  • Publisher: Pearson
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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
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)
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