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Maintaining its hallmark features of carefully detailed explanations and accessible pedagogy, this edition also addresses the AMATYC and NCTM Standards. In addition to the changes incorporated into the text, a new integrated video series and multimedia tutorial program are also available. Designed for a one-semester beginning or introductory algebra course, this successful worktext is appropriate for lecture, learning center, laboratory, or self-paced courses.
Table of Contents
0 An Arithmetic Review
0.1 Prime Factorization and Least Common Multiples
0.2 Factoring and Mixed Numbers
0.3 Decimals and Percents
0.4 Exponents and the Order of Operations
0.5 Positive and Negative Numbers
1 The Language of Algebra
1.1 From Arithmetic to Algebra
1.2 Properties of Real Numbers
1.3 Adding and Subtracting Real Numbers
1.4 Multiplying and Dividing Real Numbers
1.5 Evaluating Algebraic Expressions
1.6 Adding and Subtracting Terms
1.7 Multiplying and Dividing Terms
2 Equations and Inequalities
2.1 Solving Equations by the Addition Property
2.2 Solving Equations by the Multiplication Property
2.3 Combining the Rules to Solve Equations
2.4 Formulas and Problem Solving
2.5 Applications of Linear Equations
2.6 Solving Percent Applications
2.7 Inequalities--An Introduction
3 Polynomials
3.1 Exponents and Polynomials
3.2 Negative Exponents and Scientific Notation
3.3 Adding and Subtracting Polynomials
3.4 Multiplying Polynomials
3.5 Special Products
3.6 Dividing Polynomials
4 Factoring
4.1 An Introduction to Factoring
4.2 Factoring Trinomials of the Form x2 + bx + c
4.3 Factoring Trinomials of the Form ax2 + bx + c
4.4 Difference of Squares and Perfect Square Trinomials
4.5 Factoring by Grouping
4.6 Using the ac Method to Factor
4.7 Strategies in Factoring
4.8 Solving Quadratic Equations by Factoring
5 Rational Expressions
5.1 Simplifying Rational Expressions
5.2 Multiplying and Dividing Rational Expressions
5.3 Adding and Subtracting Like Rational Expressions
5.4 Adding and Subtracting Unlike Rational Expressions
5.5 Equations Involving Rational Expressions
5.6 Applications of Rational Expressions
5.7 Complex Rational Expressions
6 An Introduction to Graphing
6.1 Solutions of Equations in Two Variables
6.2 The Rectangular Coordinate System
6.3 Graphing Linear Equations
6.4 The Slope of a Line
6.5 Reading Graphs
7 Graphing and Inequalities
7.1 The Slope-Intercept Form
7.2 Parallel and Perpendicular Lines
7.3 The Point-Slope Form
7.4 Graphing Linear Inequalities
7.5 An Introduction to Functions
8 Systems of Linear Equations
8.1 Systems of Linear Equations: Solving by Graphing
8.2 Systems of Linear Equations: Solving by Adding
8.3 Systems of Linear Equations: Solving by Substitution