Beginning and Intermediate Algebra : An Integrated Approach
ISBN: 9780495831433 | 0495831433
Edition: 6thFormat: Hardcover
Publisher: Cengage Learning
Pub. Date: 1/1/2010
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The new edition of BEGINNING & INTERMEDIATE ALGEBRA is an exciting and innovative revision that takes an already successful book and makes it more compelling for today's users. The new edition has been thoroughly updated with a new interior design and other pedagogical features that make the book both easier to read and easier to use. Known for its clear writing and an engaging, accessible approach that makes algebra relevant, BEGINNING & INTERMEDIATE ALGEBRA helps users to develop problem-solving skills and strategies that they can use in their everyday lives. The new edition welcomes two new co-authors Rosemary Karr and Marilyn Massey who along with David Gustafson have developed a learning plan to help users succeed in Beginning Algebra and transition to the next level in their coursework.
| Real Numbers and Their Basic Properties | |
| Real numbers and their graphs | |
| Fractions | |
| Exponents and order of operations | |
| Adding and subtracting real numbers | |
| Multiplying and dividing real numbers | |
| Algebraic expressions | |
| Properties of real numbers | |
| Projects | |
| Chapter summary | |
| Test | ... MORE |
| Equations and Inequalities | |
| Solving basic linear equations in one variable | |
| Solving more linear equations in one variable | |
| Simplifying expressions to solve linear equations in one variable | |
| Formulas | |
| Introduction to problem solving | |
| Motion and mixed problems | |
| Solving linear inequalities in one variable | |
| Projects | |
| Chapter summary | |
| Chapter test Cumulative review exercises | |
| Graphing and Solving Systems of Linear Equations and Linear Inequalities | |
| The rectangular coordinate system | |
| Graphing linear equations | |
| Solving systems of linear equations by graphing | |
| Solving systems of linear equations by substitution | |
| Solving systems of linear equations by elimination (addition) | |
| Applications of systems of linear equations | |
| Solving Systems of linear inequalities | |
| Projects | |
| Chapter summary | |
| Chapter test | |
| Polynomials | |
| Natural-number exponents | |
| Zero and negative-integral exponents | |
| Scientific notation | |
| Polynomials and Polynomial Functions | |
| Adding and subtracting polynomials | |
| Multiplying polynomials | |
| Dividing polynomials by monomials | |
| Dividing polynomials by polynomials | |
| Projects | |
| Chapter summary | |
| Chapter test Cumulative review exercises | |
| Factoring Polynomials | |
| Factoring out the greatest common factor | |
| Factoring by grouping | |
| Factoring the difference of two squares | |
| Factoring trinomials with leading coefficients of | |
| Factoring general trinomials | |
| Factoring the sum and difference of two cubes | |
| Summary of factoring techniques | |
| Solving equations by factoring | |
| Problem solving | |
| Projects | |
| Chapter summary | |
| Chapter test | |
| Proportions and Rational Expressions | |
| Simplifying rational expressions | |
| Multiplying and dividing rational expressions | |
| Adding and subtracting rational expressions | |
| Complex fractions | |
| Solving equations that contain rational expressions | |
| Applications of equations that contain rational expressions | |
| Ratios | |
| Proportions and similar triangles | |
| Projects | |
| Chapter summary | |
| Chapter test Cumulative review exercises | |
| More Equations, Inequalities, and Factoring | |
| Review of equations and inequalities | |
| Equations containing absolute value | |
| Inequalities containing absolute values | |
| Review of factoring | |
| Review of rational expressions | |
| Synthetic division | |
| Projects | |
| Chapter summary | |
| Test | |
| Writing Equations of Lines, Functions, and Variation | |
| A review of the rectangular coordinate system | |
| Slope of a nonvertical line | |
| Writing equations of lines | |
| A review of functions | |
| Graphs of nonlinear functions | |
| Variation | |
| Projects | |
| Chapter summary | |
| Test Cumulative review exercises | |
| Radicals and Rational Exponents | |
| Radical expressions | |
| Applications of radicals | |
| Rational exponents | |
| Simplifying and combining radical expressions | |
| Multiplying and dividing radical expressions | |
| Radical equations | |
| Complex numbers | |
| Projects | |
| Chapter summary | |
| Chapter test | |
| Quadratic Functions, Inequalities and Algebra of Functions | |
| Solving quadratic equations by completing the square | |
| Solving quadratic equations by the quadratic formula | |
| The discriminant and equations that can be written in quadratic form | |
| Graphs of quadratic functions | |
| Quadratic and other nonlinear inequalities | |
| Algebra and composition of functions | |
| Inverses of functions | |
| Projects | |
| Chapter summary | |
| Chapter test Cumulative review exercises | |
| Exponential and Logarithmic Functions | |
| Exponential functions | |
| Base- exponential functions | |
| Logarithmic functions | |
| Base- logarithms | |
| Properties of logarithms | |
| Exponential and logarithmic equations | |
| Projects | |
| Chapter summary | |
| Chapter test | |
| Conic Sections and More Graphing | |
| The circle and the parabola | |
| The ellipse | |
| The hyperbola | |
| Piecewise-defined functions and the greatest integer function | |
| Projects | |
| Chapter summary | |
| Chapter test Cumulative review exercises | |
| More on Systems of Equations and Inequalities | |
| Solutions of two equations in two variables | |
| Solutions of three equations in three variables | |
| Solution by matrices | |
| Solution by determinants | |
| Solving simultaneous second-degree equations and inequalities | |
| Projects | |
| Chapter summary | |
| Chapter test | |
| Miscellaneous Topics | |
| The binomial theorem | |
| The nth term of a binomial expansion | |
| Arithmetic sequences | |
| Geometric sequences | |
| Infinite geometric sequences | |
| Permutations and combinations | |
| Probability | |
| Projects | |
| Chapter summary | |
| Chapter test Cumulative review exercises | |
| Symmetries of graphs | |
| Tables | |
| Powers and roots | |
| Base-10 logarithms | |
| Base-e logarithms | |
| Answers to Selected Exercises | |
| Index | |
| Index of Applications | |
| Table of Contents provided by Publisher. All Rights Reserved. |
