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Intermediate Algebra: The Language and Symbolism of Mathematics | |
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Review of Beginning Algebra | |
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Preparing for an Algebra Class | |
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The Real Number Line and Algebraic Expressions | |
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Operations with Real Numbers | |
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Exponents and Order of Operations | |
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Properties of Exponents and Scientific Notation | |
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Solving Linear Equations in One Variable | |
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Ratios, Proportions, and Direct Variation | |
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Using and Rearranging Formulas | |
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An Introduction to Functions and Linear Modeling | |
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The Rectangular Coordinate System, Tables, and Graphs | |
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Functions and Representations of Functions | |
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Linear Functions | |
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Slope of a Line and Applications of Slope | |
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Special Forms of Linear Equations In Two Variables | |
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Properties of the Graphs of Linear and Absolute Value Functions | |
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Curve Fitting - Selecting the Line of Best Fit | |
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Linear Equations and Systems of Linear Equations | |
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Applications of Linear Equations | |
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Solving Systems of Linear Equations In Two Variables Graphically and Numerically | |
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Solving Systems of Linear Systems In Two Variables by the Substitution Method | |
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Solving Systems of Linear Systems In Two Variables by the Addition Method | |
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More Applications of Linear Systems | |
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Solving Systems of Linear Equations Using Augmented Matrices | |
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Systems of Linear equations in Three Variables | |
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Linear Inequalities and Systems of Linear Inequalities | |
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Solving Linear Inequalities in One Variable | |
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Solving Compound Inequalities | |
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Solving Absolute Value Equations and Inequalities | |
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Graphing Systems of Linear Inequalities in Two Variables | |
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Polynomials and Polynomial Functions | |
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Polynomials and Properties of the Graphs of Polynomial Functions | |
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Adding and Subtracting Polynomials | |
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Multiplying Polynomials and Special Products | |
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An Introduction to Factoring | |
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Factoring Trinomials of the Form ax�+bx+c | |
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A General Strategy for Factoring Polynomials | |
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Solving Equations by Factoring | |
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Quadratic Functions | |
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Quadratic Functions, Parabolas, and Modeling Using Quadratic Equations | |
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Solving Quadratic Equations by Inequalities by Factoring | |
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Using the Quadratic Formula to Find Real Solutions | |
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More Applications of Quadratic Equations | |
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Complex Numbers | |
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Solving Quadratic Equations with Complex Solutions | |
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Rational Functions | |
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Properties of the Graphs of Rational Functions and Reducing Rational Expressions | |
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Multiplying and Dividing Rational Expressions | |
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Adding and Subtracting Rational Expressions | |
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Combining Operations and Simplifying Complex Rational Expressions | |
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Dividing Polynomials | |
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Solving Equations Containing Rational Expressions | |
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Inverse and Joint Variation and Other Applications Yielding Equations with Fractions | |
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Square Root and Cube Root Functions and Rational Exponents | |
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Evaluating Radical Expressions and Graphing Square Root and Cube Root Functions | |
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Adding and Subtracting Radical Expressions | |
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Multiplying and Dividing Radical Expressions | |
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Solving Equations Containing Radical Expressions | |
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Rational Exponents and Radicals | |
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Exponential and Logarithmic Functions | |
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Geometric Sequences and Properties of the Graphs of Exponential Functions | |
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Inverse Functions | |
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Logarithmic Functions | |
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Evaluating Logarithms | |
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Properties of Logarithms | |
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Solving Exponential and Logarithmic Equations | |
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Exponential Curve Fitting and Other Applications of Exponential and Logarithmic Equations | |
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A Preview of College Algebra | |
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Horizontal and Vertical Translations of the Graphs of Functions | |
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Stretching, Shrinking, and Reflecting Graphs of Functions | |
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Algebra of Functions | |
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Sequences, Series, and Summation Notation | |
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Conic Sections | |