Intermediate Algebra
by Kaufmann, Jerome E.; Schwitters, Karen L.-
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Summary
Table of Contents
| Basic Concepts and Properties | |
| Sets, Real Numbers, and Numerical Expressions | |
| Operations with Real Numbers | |
| Properties of Real Numbers and the Use of Exponents | |
| Algebraic Expressions | |
| Summary | |
| Review Problem Set | |
| Test | |
| Equations, Inequalities, and Problem Solving | |
| Solving First-Degree Equations | |
| Equations Involving Fractional Forms | |
| Equations Involving Decimals and Problem Solving | |
| Formulas | |
| Inequalities | |
| More on Inequalities and Problem Solving | |
| Equations and Inequalities Involving Absolute Value | |
| Summary | |
| Review Problem Set | |
| Test Cumulative Review Problem Set (Chapters 1-2) | |
| Polynomials | |
| Polynomials: Sums and Differences | |
| Products and Quotients of Monomials | |
| Multiplying Polynomials | |
| Factoring: Greatest Common Factor and Common Binomial Factor | |
| Factoring: Difference of Two Squares and Sum or Difference of Two Cubes | |
| Factoring Trinomials | |
| Equations and Problem Solving | |
| Summary | |
| Review Problem Set | |
| Test | |
| Rational Expressions | |
| Simplifying Rational Expressions | |
| Multiplying and Dividing Rational Expressions | |
| Adding and Subtracting Rational Expressions | |
| More on Rational Expressions and Complex Fractions | |
| Dividing Polynomials | |
| Fractional Equations | |
| More Fractional Equations and Applications | |
| Summary | |
| Review Problem Set | |
| Test Cumulative Review Problem Set (Chapters 1-4) | |
| Exponents and Radicals | |
| Using Integers as Exponents | |
| Roots and Radicals | |
| Combining Radicals and Simplifying Radicals that Contain Variables | |
| Products and Quotients Involving Radicals | |
| Equations Involving Radicals | |
| Merging Exponents and Roots | |
| Scientific Notation | |
| Summary | |
| Review Problems Set | |
| Test | |
| Quadratic Equations and Inequalities | |
| Complex Numbers | |
| Quadratic Equations | |
| Completing the Square | |
| Quadratic Formula | |
| More Quadratic Equations and Applications | |
| Quadratic and Other Nonlinear Inequalities | |
| Summary | |
| Review Problem Set | |
| Test Cumulative Review Problem Set (Chapters 1-6) | |
| Linear Equations and Inequalities in Two Variables | |
| Rectangular Coordinate System and Linear Equations | |
| Linear Inequalities in Two Variables | |
| Distance and Slope | |
| Determining the Equation of a Line | |
| Graphing Nonlinear Equations | |
| Summary | |
| Review Problem Set | |
| Test | |
| Conic Sections | |
| Graphing Parabolas | |
| More Parabolas and Some Circles | |
| Graphing Ellipses | |
| Graphing Hyperbolas | |
| Summary | |
| Review Problem Set | |
| Test Cumulative Review Problem Set (Chapters 1-8) | |
| Functions | |
| Relations and Functions | |
| Functions: Their Graphs and Applications | |
| Graphing Made Easy Via Transformations | |
| Composition of Functions | |
| Inverse Functions | |
| Direct and Inverse Variations | |
| Summary | |
| Review Problem Set | |
| Test | |
| Systems of Equations | |
| Systems of Two Linear Equations and Linear Inequalities in Two Variables | |
| Substitution Method | |
| Elimination-by-Addition Method | |
| Systems of Three Linear Equations in Three Variables | |
| Matrix Approach to Solving Systems | |
| Determinants. 3 x 3 Determinants and Systems of Three Linear Equations in Three Variables | |
| Systems Involving Nonlinear Equations and Systems of Inequalities | |
| Summary | |
| Review Problem Set | |
| Test Cumulative Review Problem Set (Chapters 1-10) | |
| Exponential and Logarithmic Functions | |
| Exponents and Exponential Functions | |
| Applications of Exponential Functions | |
| Logarithms | |
| Logarithmic Functions | |
| Exponential Equations, Logarithmic Equations, and Problem Solving | |
| Summary | |
| Review Problem Set | |
| Test | |
| Prime Numbers and Operations with Fractions | |
| Binomial Expansions | |
| Answers to Odd-Numbered Problems and All Chapter Review, Chapter Test, Cumulative | |
| Review, Appendix a and Appendix B Problems | |
| Answers to Selected Even-Numbered Problems | |
| Index | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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