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| Real Numbers and Their Basic Properties | |
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| Real numbers and their graphs | |
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| Fractions | |
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| Exponents and order of operations | |
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| Adding and subtracting real numbers | |
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| Multiplying and dividing real numbers | |
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| Algebraic expressions | |
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| Properties of real numbers | |
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| Projects | |
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| Chapter summary | |
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| Test | |
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| Equations and Inequalities | |
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| Solving basic linear equations in one variable | |
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| Solving more linear equations in one variable | |
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| Simplifying expressions to solve linear equations in one variable | |
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| Formulas | |
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| Introduction to problem solving | |
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| Motion and mixed problems | |
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| Solving linear inequalities in one variable | |
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| Projects | |
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| Chapter summary | |
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| Chapter test Cumulative review exercises | |
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| Graphing and Solving Systems of Linear Equations and Linear Inequalities | |
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| The rectangular coordinate system | |
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| Graphing linear equations | |
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| Solving systems of linear equations by graphing | |
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| Solving systems of linear equations by substitution | |
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| Solving systems of linear equations by elimination (addition) | |
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| Applications of systems of linear equations | |
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| Solving Systems of linear inequalities | |
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| Projects | |
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| Chapter summary | |
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| Chapter test | |
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| Polynomials | |
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| Natural-number exponents | |
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| Zero and negative-integral exponents | |
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| Scientific notation | |
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| Polynomials and Polynomial Functions | |
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| Adding and subtracting polynomials | |
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| Multiplying polynomials | |
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| Dividing polynomials by monomials | |
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| Dividing polynomials by polynomials | |
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| Projects | |
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| Chapter summary | |
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| Chapter test Cumulative review exercises | |
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| Factoring Polynomials | |
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| Factoring out the greatest common factor | |
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| Factoring by grouping | |
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| Factoring the difference of two squares | |
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| Factoring trinomials with leading coefficients of | |
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| Factoring general trinomials | |
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| Factoring the sum and difference of two cubes | |
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| Summary of factoring techniques | |
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| Solving equations by factoring | |
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| Problem solving | |
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| Projects | |
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| Chapter summary | |
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| Chapter test | |
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| Proportions and Rational Expressions | |
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| Simplifying rational expressions | |
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| Multiplying and dividing rational expressions | |
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| Adding and subtracting rational expressions | |
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| Complex fractions | |
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| Solving equations that contain rational expressions | |
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| Applications of equations that contain rational expressions | |
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| Ratios | |
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| Proportions and similar triangles | |
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| Projects | |
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| Chapter summary | |
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| Chapter test Cumulative review exercises | |
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| More Equations, Inequalities, and Factoring | |
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| Review of equations and inequalities | |
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| Equations containing absolute value | |
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| Inequalities containing absolute values | |
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| Review of factoring | |
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| Review of rational expressions | |
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| Synthetic division | |
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| Projects | |
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| Chapter summary | |
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| Test | |
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| Writing Equations of Lines, Functions, and Variation | |
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| A review of the rectangular coordinate system | |
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| Slope of a nonvertical line | |
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| Writing equations of lines | |
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| A review of functions | |
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| Graphs of nonlinear functions | |
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| Variation | |
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| Projects | |
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| Chapter summary | |
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| Test Cumulative review exercises | |
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| Radicals and Rational Exponents | |
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| Radical expressions | |
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| Applications of radicals | |
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| Rational exponents | |
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| Simplifying and combining radical expressions | |
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| Multiplying and dividing radical expressions | |
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| Radical equations | |
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| Complex numbers | |
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| Projects | |
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| Chapter summary | |
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| Chapter test | |
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| Quadratic Functions, Inequalities and Algebra of Functions | |
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| Solving quadratic equations by completing the square | |
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| Solving quadratic equations by the quadratic formula | |
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| The discriminant and equations that can be written in quadratic form | |
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| Graphs of quadratic functions | |
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| Quadratic and other nonlinear inequalities | |
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| Algebra and composition of functions | |
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| Inverses of functions | |
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| Projects | |
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| Chapter summary | |
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| Chapter test Cumulative review exercises | |
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| Exponential and Logarithmic Functions | |
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| Exponential functions | |
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| Base- exponential functions | |
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| Logarithmic functions | |
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| Base- logarithms | |
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| Properties of logarithms | |
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| Exponential and logarithmic equations | |
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| Projects | |
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| Chapter summary | |
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| Chapter test | |
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| Conic Sections and More Graphing | |
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| The circle and the parabola | |
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| The ellipse | |
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| The hyperbola | |
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| Piecewise-defined functions and the greatest integer function | |
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| Projects | |
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| Chapter summary | |
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| Chapter test Cumulative review exercises | |
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| More on Systems of Equations and Inequalities | |
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| Solutions of two equations in two variables | |
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| Solutions of three equations in three variables | |
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| Solution by matrices | |
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| Solution by determinants | |
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| Solving simultaneous second-degree equations and inequalities | |
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| Projects | |
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| Chapter summary | |
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| Chapter test | |
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| Miscellaneous Topics | |
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| The binomial theorem | |
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| The nth term of a binomial expansion | |
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| Arithmetic sequences | |
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| Geometric sequences | |
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| Infinite geometric sequences | |
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| Permutations and combinations | |
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| Probability | |
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| Projects | |
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| Chapter summary | |
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| Chapter test Cumulative review exercises | |
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| Symmetries of graphs | |
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| Tables | |
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| Powers and roots | |
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| Base-10 logarithms | |
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| Base-e logarithms | |
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| Answers to Selected Exercises | |
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| Index | |
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| Index of Applications | |