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| The Set of Real Numbers | |
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| Sets of Numbers and the Real Number Line | |
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| Order of Operations | |
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| Addition of Real Numbers | |
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| Subtraction of Real Numbers -- Problem Recognition Exercises-Addition and Subtraction of Signed Numbers | |
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| Multiplication and Division of Real Numbers | |
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| Properties of Real Numbers and Simplifying Expressions | |
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| Linear Equations and Inequalities | |
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| Addition, Subtraction, Multiplication, and Division Properties of Equality | |
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| Solving Linear Equations | |
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| Linear Equations: Clearing Fractions and Decimals -- Problem Recognition Exercises-Equations and Expressions | |
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| Applications of Linear Equations: Introduction to Problem Solving | |
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| Applications Involving Percents | |
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| Formulas and Applications of Geometry | |
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| Mixture Applications and Uniform Motion | |
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| Linear Inequalities | |
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| Graphing Linear Equations in Two Variables | |
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| Rectangular Coordinate System | |
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| Linear Equations in Two Variables | |
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| Slope of a Line | |
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| Slope-Intercept Form of a Line -- Problem Recognition Exercises-Linear Equations in Two Variables | |
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| Point-Slope Formula | |
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| Applications of Linear Equations | |
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| Introduction to Functions | |
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| Systems of Linear Equations in Two Variables | |
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| Solving Systems of Equations by the Graphing Method | |
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| Solving Systems of Equations by the Substitution Method | |
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| Solving Systems of Equations by the Addition Method -- Problem Recognition Exercises-Systems of Equations | |
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| Applications of Linear Equations in Two Variables | |
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| Linear Inequalities and Systems of Inequalities in Two Variables | |
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| Polynomials and Properties of Exponents | |
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| Exponents: Multiplying and Dividing Common Bases | |
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| More Properties of Exponents | |
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| Definitions of and | |
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| Scientific Notation -- Problem Recognition Exercises-Properties of Exponents | |
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| Addition and Subtraction of Polynomials | |
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| Multiplication of Polynomials | |
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| Division of Polynomials -- Problem Recognition Exercises-Operations on Polynomials | |
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| Factoring Polynomials | |
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| Greatest Common Factor and Factoring by Grouping | |
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| Factoring Trinomials of the Form | |
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| Factoring Trinomials: Trial-and-Error Method | |
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| Factoring Trinomials: AC-Method | |
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| Factoring Special Patterns | |
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| Sum and Difference of Cubes -- Problem Recognition Exercises-General Factoring Strategy | |
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| Solving Equations Using the Zero Product Rule -- Problem Recognition Exercises-Expressions and Polynomial Equations | |
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| Applications of Quadratic Equations | |
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| Rational Expressions | |
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| Introduction to Rational Expressions | |
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| Multiplication and Division of Rational Expressions | |
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| Least Common Denominator | |
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| Addition and Subtraction of Rational Expressions -- Problem Recognition Exercises-Operations on Rational Expressions | |
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| Complex Fractions | |
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| Rational Equations -- Problem Recognition Exercises-Comparing Rational Equations and Rational Expressions | |
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| Applications of Rational Equations and Proportions | |
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| Variation | |
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| Radicals | |
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| Introduction to Roots and Radicals | |
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| Simplifying Radicals | |
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| Addition and Subtraction of Radicals | |
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| Multiplication of Radicals | |
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| Division of Radicals and Rationalization -- Problem Recognition Exercises-Operations on Radicals | |
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| Radical Equations | |
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| Rational Exponents | |
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| More Quadratic Equations | |
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| The Square Root Property | |
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| Completing the Square | |
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| Quadratic Formula -- Problem Recognition Exercises-Solving Quadratic Equations | |
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| Graphing Quadratic Functions | |