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Chapter 1 Foundations of Algebra 1.1 Number Sets and the Structure of Algebra 1.2 Fractions 1.3 Adding and Subtracting Real Numbers; Properties of Real Numbers 1.4 Multiplying and Dividing Real Numbers; Properties of Real Numbers 1.5 Exponents, Roots, and Order of Operations 1.6 Translating Word Phrases to Expressions 1.7 Evaluating and Rewriting Expressions Chapter 2 Solving Linear Equations and Inequalities 2.1 Equations, Formulas, and the Problem-Solving Process 2.2 The Addition Principle 2.3 The Multiplication Principle 2.4 Applying the Principles to Formulas 2.5 Translating Word Sentences to Equations 2.6 Solving Linear Inequalities Chapter 3 Problem Solving 3.1 Ratios and Proportions 3.2 Percents 3.3 Problems with Two or More Unknowns 3.4 Rates 3.5 Investment and Mixture Chapter 4 Graphing Linear Equations and Inequalities 4.1 The Rectangular Coordinate System 4.2 Graphing Linear Equations 4.3 Graphing Using Intercepts 4.4 Slope-Intercept Form 4.5 Point-Slope Form 4.6 Graphing Linear Inequalities 4.7 Introduction to Functions and Function Notation Chapter 5 Polynomials 5.1 Exponents and Scientific Notation 5.2 Introduction to Polynomials 5.3 Adding and Subtracting Polynomials 5.4 Exponent Rules and Multiplying Monomials 5.5 Multiplying Polynomials; Special Products 5.6 Exponent Rules and Dividing Polynomials Chapter 6 Factoring 6.1 Greatest Common Factor and Factoring by Grouping 6.2 Factoring Trinomials of the Form x2 + bx + c 6.3 Factoring Trinomials of the Form ax2 + bx + c, where a ≠ 1 6.4 Factoring Special Products 6.5 Strategies for Factoring 6.6 Solving Quadratic Equations by Factoring 6.7 Graphs of Quadratic Equations and Functions Chapter 7 Rational Expressions and Equations 7.1 Simplifying Rational Expressions 7.2 Multiplying and Dividing Rational Expressions 7.3 Adding and Subtracting Rational Expressions with the Same Denominator 7.4 Adding and Subtracting Rational Expressions with Different Denominators 7.5 Complex Rational Expressions 7.6 Solving Equations Containing Rational Expressions 7.7 Applications with Rational Expressions Chapter 8 More on Inequalities, Absolute Value and Functions 8.1 Compound Inequalities 8.2 Equations Involving Absolute Value 8.3 Inequalities Involving Absolute Value 8.4 Functions and Graphing 8.5 Function Operations Chapter 9 Systems of Equations 9.1 Solving Systems of Linear Equations Graphically 9.2 Solving Systems of Linear Equations by Substitution 9.3 Solving Systems of Linear Equations by Elimination 9.4 Solving Systems of Linear Equations in Three Variables 9.5 Solving Systems of Linear Equations Using Matrices 9.6 Solving Systems of Linear Equations Using Cramer’s Rule 9.7 Solving Systems of Linear Inequalities Chapter 10 Rational Exponents, Radicals, and Complex Numbers 10.1 Radical Expressions and Functions 10.2 Rational Exponents 10.3 Multiplying, Dividing, and Simplifying Radicals 10.4 Adding, Subtracting, and Multiplying Radical Expressions 10.5 Rationalizing Numerators and Denominators of Radical Expressions 10.6 Radical Equations and Problem Solving 10.7 Complex Numbers Chapter 11 Quadratic Equations 11.1 Completing the Square 11.2 Solving Quadratic Equations Using the Quadratic Formula 11.3 Solving Equations That Are Quadratic in Form 11.4 Graphing Quadratic Functions 11.5 Solving Nonlinear Inequalities Chapter 12 Exponential and Logarithmic Functions 12.1 Composite and Inverse Functions 12.2 Exponential Functions 12.3 Logarithmic Functions 12.4 Properties of Logarithms 12.5 Common and Natural Logarithms 12.6 Exponential and Logarithmic Equations with Applications Chapter 13 Conic Sections 13.1 The Parabola and the Circle 13.2 Ellipses and Hyperbolas 13.3 Nonlinear Systems of Equations 13.4 Nonlinear Inequalities and Systems of Inequalities Appendices A. Arithmetic Sequences and Series B. Geometric Sequences and Series C. The Binomial Theorem D. Permutations and Combinations E. Probability Table of Contents
Get Elementary and Intermediate Algebra, 2nd Edition by Tom Carson, San Diego Mesa College Bill E. Jordan, Seminole State College of Florida
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