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Summary
Elementary Algebra, 8/e by Baratto/Bergman is part of the latest offerings in the successful Streeter-Hutchison Series in Mathematics. The fourth edition continues the hallmark approach of encouraging the learning of mathematics by focusing its coverage on mastering math through practice. This worktext seeks to provide carefully detailed explanations and accessible pedagogy to introduce beginning and intermediate algebra concepts and put the content in context. The authors use a three-pronged approach (I. Communication, II. Pattern Recognition, and III. Problem Solving) to present the material and stimulate critical thinking skills. Items such as Math Anxiety boxes, Check Yourself exercises, and Activities represent this approach and the underlying philosophy of mastering math through practice. The exercise sets have been expanded, organized, and clearly labeled. Vocational and professional-technical exercises have been added throughout. Repeated exposure to this consistent structure should help advance the student's skills in relating to mathematics. The book is designed for a combined beginning and intermediate algebra course, or it can be used across two courses, and is appropriate for lecture, learning center, laboratory, or self-paced courses. It is accompanied by numerous useful supplements, including McGraw-Hill's online homework management system, MathZone.
Table of Contents
1 The Language of Algebra
1.1 Properties of Real Numbers
1.2 Adding and Subtracting Real Numbers
1.3 Multiplying and Dividing Real Numbers
1.4 From Arithmetic to Algebra
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 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 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 Strategies in Factoring
4.6 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 Complex Rational Expressions
5.6 Equations Involving Rational Expressions
5.7 Applications of 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 the Addition Method
8.3 Systems of Linear Equations: Solving by Substitution