Designed for first-year developmental math students who need support in beginning algebra, Elementary Algebra owes its success to the hallmark features for which the Larson team is known: learning by example, accessible writing style, emphasis on visualization, and comprehensive exercise sets. These pedagogical features are carefully coordinated to ensure that students are better able to make connections between mathematical concepts and understand the content. The new Student Support Edition continues the Larson tradition of guided learning by incorporating a comprehensive range of student success materials throughout the text. Additionally, instructors and students alike can track progress with HM Assess, a new online diagnostic assessment and remediation tool from Houghton Mifflin.
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Table of Contents
Each chapter contains Motivating the Chapter, a Mid-Chapter Quiz, "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 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 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 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 Expression and Equations 9.1. Roots and Radicals 9.2. Simplifying Radicals 9.3. Operations with Radical Expressions 9.4. Radical Equations and Applications 10. Quadratic Equations and Functions 10.1. Solution by the Square Root Property 10.2. Solution by Completing the Square 10.3. Solutin by the Quadratic Formula 10.4. Graphing Quadratic Functins 10.5. Applications of Quadratic Equations 10.6. Complex Numbers 10.7. Relations, Functions, and Graphs