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Introductory Algebra offers a refreshing approach to the traditional content of the course. Presented in worktext format, Introductory Algebra focuses on solving equations and inequalities, graphing, polynomials, factoring, rational expressions, and radicals. Other topics include quadratic equations and an introduction to functions and complex numbers. The text reflects the compassion and insight of its experienced author team with features developed to address the specific needs of developmental level students.
Table of contents
Chapter 1: The Set of Real Numbers 1.1 Sets of Numbers and the Real Number Line 1.2 Order of Operations 1.3 Addition of Real Numbers 1.4 Subtraction of Real Numbers -- Problem Recognition Exercises—Addition and Subtraction of Signed Numbers1.5 Multiplication and Division of Real Numbers 1.6 Properties of Real Numbers and Simplifying Expressions Chapter 2: Linear Equations and Inequalities 2.1 Addition, Subtraction, Multiplication, and Division Properties of Equality 2.2 Solving Linear Equations 2.3 Linear Equations: Clearing Fractions and Decimals -- Problem Recognition Exercises—Equations and Expressions2.4 Applications of Linear Equations: Introduction to Problem Solving 2.5 Applications Involving Percents 2.6 Formulas and Applications of Geometry 2.7 Mixture Applications and Uniform Motion2.8 Linear Inequalities Chapter 3: Graphing Linear Equations in Two Variables 3.1 Rectangular Coordinate System 3.2 Linear Equations in Two Variables 3.3 Slope of a Line 3.4 Slope-Intercept Form of a Line -- Problem Recognition Exercises—Linear Equations in Two Variables3.5 Point-Slope Formula 3.6 Applications of Linear Equations 3.7 Introduction to Functions Chapter 4: Systems of Linear Equations in Two Variables4.1 Solving Systems of Equations by the Graphing Method 4.2 Solving Systems of Equations by the Substitution Method 4.3 Solving Systems of Equations by the Addition Method -- Problem Recognition Exercises—Systems of Equations4.4 Applications of Linear Equations in Two Variables 4.5 Linear Inequalities and Systems of Inequalities in Two Variables Chapter 5: Polynomials and Properties of Exponents 5.1 Exponents: Multiplying and Dividing Common Bases 5.2 More Properties of Exponents 5.3 Definitions of and 5.4 Scientific Notation -- Problem Recognition Exercises—Properties of Exponents5.5 Addition and Subtraction of Polynomials 5.6 Multiplication of Polynomials 5.7 Division of Polynomials -- Problem Recognition Exercises—Operations on PolynomialsChapter 6: Factoring Polynomials6.1 Greatest Common Factor and Factoring by Grouping 6.2 Factoring Trinomials of the Form 6.3 Factoring Trinomials: Trial-and-Error Method 6.4 Factoring Trinomials: AC-Method 6.5 Factoring Special Patterns 6.6 Sum and Difference of Cubes -- Problem Recognition Exercises—General Factoring Strategy 6.7 Solving Equations Using the Zero Product Rule -- Problem Recognition Exercises—Expressions and Polynomial Equations6.8 Applications of Quadratic EquationsChapter 7: Rational Expressions 7.1 Introduction to Rational Expressions 7.2 Multiplication and Division of Rational Expressions 7.3 Least Common Denominator 7.4 Addition and Subtraction of Rational Expressions -- Problem Recognition Exercises—Operations on Rational Expressions7.5 Complex Fractions 7.6 Rational Equations -- Problem Recognition Exercises—Comparing Rational Equations and Rational Expressions7.7 Applications of Rational Equations and Proportions 7.8 Variation Chapter 8: Radicals 8.1 Introduction to Roots and Radicals 8.2 Simplifying Radicals 8.3 Addition and Subtraction of Radicals 8.4 Multiplication of Radicals 8.5 Division of Radicals and Rationalization -- Problem Recognition Exercises—Operations on Radicals8.6 Radical Equations 8.7 Rational Exponents Chapter 9: More Quadratic Equations 9.1 The Square Root Property9.2 Completing the Square 9.3 Quadratic Formula -- Problem Recognition Exercises—Solving Quadratic Equations9.4 Graphing Quadratic Functions