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Chapter 1 Introduction to Real Numbers and Algebraic Expressions 1.1 Introduction to Algebra 1.2 The Real Numbers 1.3 Addition of Real Numbers 1.4 Subtraction of Real Numbers 1.5 Multiplication of Real Numbers 1.6 Division of Real Numbers 1.7 Properties of Real Numbers 1.8 Simplifying Expressions; Order of Operations Chapter 2 Solving Equations and Inequalities 2.1 Solving Equations: The Addition Principle 2.2 Solving Equations: The Multiplication Principle 2.3 Using the Principles Together 2.4 Formulas 2.5 Applications of Percent 2.6 Applications and Problem Solving 2.7 Solving Inequalities 2.8 Applications and Problem Solving with Inequalities Chapter 3 Graphs of Linear Equations 3.1 Graphs and Applications 3.2 Graphing Linear Equations 3.3 More with Graphing and Intercepts 3.4 Slope and Applications Chapter 4 Polynomials: Operations 4.1 Integers as Exponents 4.2 Exponents and Scientific Notation 4.3 Introduction to Polynomials 4.4 Addition and Subtraction of Polynomials 4.5 Multiplication of Polynomials 4.6 Special Products 4.7 Operations with Polynomials in Several Variables 4.8 Division of Polynomials Chapter 5 Polynomials: Factoring 5.1 Introduction to Factoring 5.2 Factoring Trinomials of the Type x2 + bx + c 5.3 Factoring ax2 + bx + c, a ¹ 1: The FOIL Method 5.4 Factoring ax2 + bx + c, a ¹ 1: The ac-Method 5.5 Factoring Trinomial Squares and Differences of Squares 5.6 Factoring Sums or Differences of Cubes 5.7 Factoring: A General Strategy 5.8 Solving Quadratic Equations by Factoring 5.9 Applications of Quadratic Equations Chapter 6 Rational Expressions and Equations 6.1 Multiplying and Simplifying Rational Expressions 6.2 Division and Reciprocals 6.3 Least Common Multiples and Denominators 6.4 Adding Rational Expressions 6.5 Subtracting Rational Expressions 6.6 Complex Rational Expressions 6.7 Solving Rational Equations 6.8 Applications Using Rational Equations and Proportions 6.9 Variation and Applications Chapter 7 Graphs, Functions, and Applications 7.1 Functions and Graphs 7.2 Finding Domain and Range 7.3 Linear Functions: Graphs and Slope 7.4 More on Graphing Linear Equations 7.5 Finding Equations of Lines; Applications Chapter 8 Systems of Equations 8.1 Systems of Equations in Two Variables 8.2 Solving by Substitution 8.3 Solving by Elimination 8.4 Solving Applied Problems: Two Equations 8.5 Systems of Equations in Three Variables 8.6 Solving Applied Problems: Three Equations 8.7 Business and Economics Applications Chapter 9 More on Inequalities 9.1 Sets, Inequalities, and Interval Notation 9.2 Intersections, Unions, and Compound Inequalities 9.3 Absolute-Value Equations and Inequalities 9.4 Systems of Inequalities in Two Variables Chapter 10 Radical Expressions, Equations, and Functions 10.1 Radical Expressions and Functions 10.2 Rational Numbers as Exponents 10.3 Simplifying Radical Expressions 10.4 Addition, Subtraction, and More Multiplication 10.5 More on Division of Radical Expressions 10.6 Solving Radical Equations 10.7 Applications Involving Powers and Roots 10.8 The Complex Numbers Chapter 11 Quadratic Equations and Functions 11.1 The Basics of Solving Quadratic Equations 11.2 The Quadratic Formula 11.3 Applications Involving Quadratic Equations 11.4 More on Quadratic Equations 11.5 Graphing f(x) = a(x - h)2 + k 11.6 Graphing f(x) = ax2 + bx + c 11.7 Mathematical Modeling with Quadratic Functions 11.8 Polynomial and Rational Inequalities Chapter 12 Exponential and Logarithmic Functions 12.1 Exponential Functions 12.2 Inverse and Composite Functions 12.3 Logarithmic Functions 12.4 Properties of Logarithmic Functions 12.5 Natural Logarithmic Functions 12.6 Solving Exponential and Logarithmic Equations 12.7 Mathematical Modeling with Exponential and Logarithmic Functions Appendixes A Factoring and LCMs B Fraction Notation C Exponential Notation and Order of Operations D Review of Factoring Polynomials E Introductory Algebra Review F Handling Dimension Symbols G Mean, Median, and Mode H Synthetic Division I Determinants and Cramer's Rule J Elimination Using Matrices K The Algebra of Functions L Distance, Midpoints, and Circles Table of Contents
Get Introductory and Intermediate Algebra, 3rd Edition by Marvin L. Bittinger, Indiana University Purdue University Indianapolis Judith A. Beecher, Indiana University Purdue University Indianapolis
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