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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 | |