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A Review of Basic Algebra | |

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The Real Number System | |

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Arithmetic and Properties of Real Numbers | |

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Exponents | |

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Scientific Notation | |

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Solving Linear Equations in One Variable | |

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Using Linear Equations to Solve Application Problems | |

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Projects | |

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Chapter Review | |

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Chapter 1 Test | |

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Graphs, Equations of Lines, and Functions | |

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Graphing Linear Equations | |

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Slope of a Line | |

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Writing Equations of Lines | |

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Introduction to Functions | |

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Graphs of Other Functions | |

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Projects | |

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Chapter Review | |

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Chapter 2 Test | |

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Cumulative Review Exercises | |

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Systems of Linear Equations | |

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Solving Systems of Two Linear Equations by Graphing | |

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Solving Systems of Two Linear Equations by Elimination (Addition) | |

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Solving Systems of Three Linear Equations in Three Variables | |

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Solving Systems of Linear Equations Using Matrices | |

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Solving Systems of Linear Equations Using Determinants | |

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Projects | |

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Chapter Review | |

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Chapter 3 Test | |

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Inequalities | |

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Solving Linear Inequalities in One Variable | |

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Solving Equations and Inequalities in One Variable Containing Absolute Values | |

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Solving Linear Inequalities in One or Two Variables | |

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Solving Systems of Quadratic Inequalities in Two Variables | |

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Solving Systems Using Linear Programming | |

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Projects | |

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Chapter Review | |

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Chapter 4 Test | |

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Cumulative Review Exercises | |

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Polynomials and Polynomial Functions | |

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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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The Greatest Common Factor and Factoring by Grouping | |

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The Difference of Two Squares; the Sum and Difference of Two Cubes | |

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Factoring Trinomials | |

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Summary of Factoring Techniques | |

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Solving Equations by Factoring | |

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Projects | |

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Chapter Review | |

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Chapter 5 Test | |

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Rational Expressions | |

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Finding the Domain of Rational n and 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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Simplifying Complex Fractions | |

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Solving Equations Containing Rational Expressions | |

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Dividing Polynomials | |

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Synthetic Division | |

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Proportion and Variation | |

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Projects | |

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Chapter Review | |

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Chapter 6 Test | |

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Cumulative Review Exercises | |

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Radicals and Rational Exponents | |

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Radical Expressions | |

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Applications of the Pythagorean Theorem and the Distance Formula | |

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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 Review | |

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Chapter 7 Test | |

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Quadratic Functions, Inequalities, and Algebra of Functions | |

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Solving Quadratic Equations Using the Square Root Property and 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 Functions | |

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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 Review | |

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Chapter 8 Test | |

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Cumulative Review Exercises | |

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Exponential and Logarithmic Functions | |

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Exponential Functions | |

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Base-e Exponential Functions | |

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Logarithmic Functions | |

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Natural 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 Review | |

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Chapter 9 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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Solving Systems Containing Second-Degree Equations | |

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Piecewise-Defined Functions and the Greatest Inteher Function | |

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Projects | |

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Chapter Review | |

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Chapter 10 Test | |

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Cumulative Review Exercises | |

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Miscellaneous Topics | |

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The Binomial Theorem | |

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Finding 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 Review | |

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Chapter 11 Test | |

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Cumulative Review Exercises | |

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Glossary | |

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Symmetries of Graphs | |

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Sample Final Examination | |

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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 | |