Intermediate Algebra

Chapter 1 The Real Numbers 1.1 Sets 1.2 The Real Numbers 1.3 Operations on the Set of Real Numbers 1.4 Evaluating Expressions 1.5 Properties of the Real Numbers 1.6 Using the Properties Chapter 2 Linear Equations and Inequalities in One Variable 2.1 Linear Equations in One Variable 2.2 Formulas and Functions 2.3 Applications 2.4 Inequalities 2.5 Compound Inequalities 2.6 Absolute Value Equations and Inequalities Chapter 3 Graphs and Functions in the Cartesian Coordinate System 3.1 Graphing Lines in the Coordinate Plane 3.2 Slope of a Line 3.3 Three Forms for the Equation of a Line 3.4 Linear Inequalities and Their Graphs 3.5 Relations and Functions 3.6 Graphs of Functions Chapter 4 Systems of Linear Equations 4.1 Solving Systems by Graphing and Substitution 4.2 The Addition Method 4.3 Systems of Linear Equations in Three Variables 4.4 Solving Linear Systems Using Matrices 4.5 Cramer's Rule for Systems in Two Variables 4.6 Cramer's Rule for Systems in Three Variables 4.7 Linear Programming Chapter 5 Exponents and Polynomials 5.1 Integral Exponents and Scientific Notation 5.2 The Power Rules 5.3 Addition, Subtraction, and Multiplication of Polynomials 5.4 Multiplying Binomials 5.5 Division of Polynomials 5.6 Factoring Polynomials 5.7 Factoring ax2 + bx + c 5.8 Factoring Strategy 5.9 Solving Equations by Factoring Chapter 6 Rational Expressions 6.1 Properties of Rational Expressions 6.2 Multiplication and Division 6.3 Addition and Subtraction 6.4 Complex Fractions 6.5 Solving Equations Involving Rational Expressions 6.6 Applications Chapter 7 Rational Exponents and Radicals 7.1 Rational Exponents 7.2 Radicals 7.3 Operations with Radicals 7.4 More Operations with Radicals 7.5 Solving Equations with Radicals and Exponents 7.6 Complex Numbers Chapter 8 Quadratic Equations and Inequalities 8.1 Factoring and Completing the Square 8.2 The Quadratic Formula 8.3 More on Quadratic Equations 8.4 Quadratic and Rational Inequalities Chapter 9 Additional Function Topics 9.1 Combining Functions 9.2 Inverse Functions 9.3 Variation 9.4 The Factor Theorem Chapter 10 Exponential and Logarithmic Functions 10.1 Exponential Functions 10.2 Logarithmic Functions 10.3 Properties of Logarithms 10.4 Solving Equations Chapter 11 Nonlinear Systems and the Conic Sections 11.1 Nonlinear Systems of Equations 11.2 The Parabola 11.3 The Circle 11.4 The Ellipse and Hyperbola 11.5 Second-Degree Inequalities Chapter 12 Sequences and Series 12.1 Sequences 12.2 Series 12.3 Arithmetic Sequences and Series 12.4 Geometric Sequences and Series 12.5 Binomial ExpansionsDugopolski, Mark is the author of 'Intermediate Algebra' with ISBN 9780072332322 and ISBN 0072332328.