Intermediate algebra

Synopsis

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 2.3 Applications 2.4 Inequalities 2.5 Compound Inequalities 2.6 Absolute Value Equations and Inequalities Chapter 3 Linear Equations and Inequalities in Two Variables 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 Functions and Relations 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 Determinants and Cramer's Rule 4.6 Linear Programming Chapter 5 Exponents and Polynomials 5.1 Integral Exponents and Scientific Notation 5.2 The Power Rules 5.3 Polynomials and Polynomial Functions 5.4 Multiplying Binomials 5.5 Factoring Polynomials 5.6 Factoring ax^2 + bx + c 5.7 Factoring Strategy 5.8 Solving Equations by Factoring Chapter 6 Rational Expressions and Functions 6.1 Properties of Rational Expressions and Functions 6.2 Multiplication and Division 6.3 Addition and Subtraction 6.4 Complex Fractions 6.5 Division of Polynomials 6.6 Solving Equations Involving Rational Expressions 6.7 Applications Chapter 7 Radicals and Rational Exponents 7.1 Radicals 7.2 Rational Exponents 7.3 Operations with Radicals 7.4 Quotients, Powers, and Rationalizing Denominators 7.5 Solving Equations with Radicals and Exponents 7.6 Complex Numbers Chapter 8 Quadratic Equations, Functions, and Inequalities 8.1 Factoring and Completing the Square 8.2 The Quadratic Formula 8.3 Quadratic Functions and Their Graphs 8.4 More on Quadratic Equations 8.5 Quadratic and Rational Inequalities Chapter 9 Additional Function Topics 9.1 Graphs of Functions and Relations 9.2 Transformations of Graphs 9.3 Combining Functions 9.4 Inverse Functions 9.5 Variation Chapter 10 Exponential and Logarithmic Functions 10.1 Exponential Functions and Their Applications 10.2 Logarithmic Functions and Their Applications 10.3 Properties of Logarithms 10.4 Solving Equations and Applications 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 Expansions Appendix A Geometry Review Appendix B Sets Appendix C Final Exam Review