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| An Introduction to Algebra | |
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| Describing Numerical Relationships | |
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| Fractions and Decimals | |
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| The Real Numbers | |
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| Adding and Subtracting Real Numbers | |
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| Multiplying and Dividing Real Numbers | |
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| Exponents and Order of Operations | |
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| Algebraic Expressions | |
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| Key Concept: Variables | |
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| Equations, Inequalities, and Problem Solving | |
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| Solving Equations | |
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| Problem Solving | |
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| Simplifying Algebraic Expressions | |
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| Simplifying Algebraic Expressions | |
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| More About Solving Equations | |
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| Formulas | |
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| More Problem Solving | |
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| Inequalities | |
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| Key Concept: Simplify and Solve | |
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| Graphs, Linear Equations, And Functions | |
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| Graphing Using the Rectangular Coordinate System | |
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| Equations Containing Two Variables | |
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| Graphing Linear Equations | |
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| Rate of Change and the Slope of a Line | |
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| Describing Linear Relationships | |
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| Writing Linear Equations | |
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| Functions | |
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| Key Concept: Describing Linear Relationships | |
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| Exponents And Polynomials | |
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| Natural-Number Exponents | |
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| Zero and Negative Integer Exponents | |
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| Scientific Notation | |
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| Polynomials | |
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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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| Key Concept: Polynomials | |
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| Factoring And Quadratic Equations | |
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| Factoring Out the Greatest Common Factor and Factoring by Grouping | |
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| Factoring Trinomials of the Form x2 + bx + c | |
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| Factoring Trinomials of the Form ax2 + bx + c | |
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| Special Factorizations and a Factoring Strategy | |
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| Quadratic Equations | |
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| Key Concept: Factoring | |
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| Rational Expressions and Equations | |
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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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| Rational Equations and Problem Solving | |
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| Proportions and Similar Triangles | |
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| Variation | |
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| Key Concept: Expressions and Equations | |
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| Solving Systems of Equations and Inequalities | |
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| Solving Systems of Equations by Graphing | |
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| Solving Systems of Equations by Substitution | |
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| Solving Systems by Addition | |
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| Applications of Systems of Equations | |
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| Graphing Linear Inequalities | |
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| Solving Systems of Linear Equations | |
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| Key Concept: Systems of Equations and Inequalities | |
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| Roots and Radicals | |
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| Square Roots | |
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| Higher Order Roots and Radicands That Contain Variables | |
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| Simplifying Radical Expressions | |
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| Adding and Subtracting Radical Expressions | |
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| Multiplying and Dividing Radical Expressions | |
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| Solving Radical Equations: The Distance Formula | |
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| Rational Exponents | |
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| Key Concept: Inverse Operations | |
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| Quadratic Equations | |
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| Completing the Square | |
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| The Quadratic Formula | |
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| Graphing Quadratic Functions | |
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| Key Concept: Quadratic Equations | |
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| Statistics | |
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| Roots and Powers | |