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Designed for first-year developmental math students who need support in beginning algebra, Elementary Algebra, 4/e, retains the hallmark features for which the Larson team is known: abundant, high-quality applications; the use of real data; the integration of visualization (figures and graphs) throughout; and extensive opportunities for self-assessment (mid-chapter quizzes, review exercises, tests, and cumulative tests). In developing supportive new features for the Fourth Edition, the authors' goal is for students to come away from the class with a firm understanding of algebra and how it functions as a modern modeling language.
Note: Each chapter is preceded by Motivating the Chapter, includes a Mid-Chapter Quiz, and concludes with What Did You Learn? (Chapter Summary), Review Exercises, and a Chapter Test. 1. The Real Number System 1.1. Real Numbers: Order and Absolute Value 1.2. Adding and Subtracting Integers 1.3. Multiplying and Dividing Integers 1.4. Operations with Rational Numbers 1.5. Exponents, Order of Operations, and Properties of Real Numbers 2. Fundamentals of Algebra 2.1. Writing and Evaluating Algebraic Expressions 2.2. Simplifying Algebraic Expressions 2.3. Algebra and Problem Solving 2.4. Introduction to Equations 3. Linear Equations and Problem Solving 3.1. Solving Linear Equations 3.2. Equations That Reduce to Linear Form 3.3. Problem Solving with Percents 3.4. Ratios and Proportions 3.5. Geometric and Scientific Applications 3.6. Linear Inequalities Cumulative Test: Chapters 1-3 4. Equations and Inequalities in Two Variables 4.1. Ordered Pairs and Graphs 4.2. Graphs of Equations in Two Variables 4.3. Slope and Graphs of Linear Equations 4.4. Equations of Lines 4.5. Graphs of Linear Inequalities 5. Exponents and Polynomials 5.1. Negative Exponents and Scientific Notation 5.2. Adding and Subtracting Polynomials 5.3. Multiplying Polynomials: Special Products 5.4. Dividing Polynomials 6. Factoring and Solving Equations 6.1. Factoring Polynomials with Common Factors 6.2. Factoring Trinomials 6.3. More About Factoring Trinomials 6.4. Factoring Polynomials with Special Forms 6.5. Solving Quadratic Equations by Factoring Cumulative Test: Chapters 4-6 7. Rational Expressions and Equations 7.1. Simplifying Rational Expressions 7.2. Multiplying and Dividing Rational Expressions 7.3. Adding and Subtracting Rational Expressions 7.4. Complex Fractions 7.5. Rational Equations and Applications 8. Systems of Linear Equations and Inequalities 8.1. Solving Systems of Equations by Graphing 8.2. Solving Systems of Equations by Substitution 8.3. Solving Systems of Equations by Elimination 8.4. Applications of Systems of Linear Equations 8.5. Systems of Linear Inequalities 9. Radical Expressions and Equations 9.1. Roots and Radicals 9.2. Simplifying Radicals 9.3. Operations with Radical Expressions 9.4. Radical Equations and Applications Cumulative Test: Chapters 7-9 10. Quadratic Equations and Functions 10.1. Solution by the Square Root Property 10.2. Solution by Completing the Square 10.3. Solution by the Quadratic Formula 10.4. Graphing Quadratic Equations 10.5. Applications of Quadratic Equations 10.6. Complex Numbers 10.7. Relations, Functions, and Graphs Appendix A. Introduction to Graphing Calculators Appendix B. Further Concepts in Geometry (web) B.1 Exploring Congruence and Similarity B.2 Angles Appendix C. Further Concepts in Statistics (web) Answers to Odd-Numbered Exercises, Quizzes, and Tests Index of Applications Index