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| Review of Basic Algebraic Concepts | |
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| Sets of Numbers and Interval Notation | |
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| Operations on Real Numbers | |
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| Simplifying Expressions | |
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| Linear Equations in One Variable | |
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| Applications of Linear Equations in One Variable | |
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| Literal Equations and Applications to Geometry | |
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| Linear Inequalities in One Variable | |
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| Properties of Integer Exponents and Scientific Notation | |
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| Summary | |
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| Review Exercises | |
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| Test | |
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| Linear Equations in Two Variables | |
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| Rectangular Coordinate System and Midpoint Formula | |
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| Linear Equations in Two Variables | |
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| Slope of a Line | |
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| Equations of a Line | |
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| Applications of Linear Equations and Graphing | |
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| Summary | |
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| Review Exercises | |
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| Test | |
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| Systems of Linear Equations | |
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| Solving Systems of Linear Equations by Graphing | |
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| Solving Systems of Equations by Using the Substitution Method | |
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| Solving Systems of Equations by Using the Addition Method | |
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| Applications of Systems of Linear Equations in Two Variables | |
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| Systems of Linear Equations in Three Variables and Applications | |
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| Solving Systems of Linear Equations by Using Matrices | |
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| Determinants and Cramer’s Rule | |
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| Summary | |
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| Review Exercises | |
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| Test Cumulative Review Exercises | |
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| Introduction to Relations and Functions | |
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| Introduction to Relations | |
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| Introduction to Functions | |
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| Graphs of Functions | |
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| Variation | |
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| Summary | |
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| Review Exercises | |
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| Test | |
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| Polynomials | |
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| Addition and Subtraction of Polynomials and Polynomial Functions | |
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| Multiplication of Polynomials | |
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| Division of Polynomials Mixed Review Exercises – Operations on Polynomials | |
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| Greatest Common Factor and Factoring by Grouping | |
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| Factoring Trinomials | |
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| Factoring Binomials | |
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| Additional Factoring Strategies | |
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| Solving Equations by Using the Zero Product Rule | |
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| Summary | |
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| Review Exercises | |
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| Test | |
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| Rational Expressions and Rational Equations | |
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| Rational Expressions and Rational Functions | |
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| Multiplication and Division of Rational Expressions | |
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| Addition and Subtraction of Rational Expressions | |
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| Complex Fractions Mixed Review Exercises – Operations on Rational Expressions | |
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| Rational Equations | |
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| Applications of Rational Equations and Proportions | |
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| Summary | |
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| Review Exercises | |
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| Test Cumulative Review Exercises, Chapters 1 – 6 | |
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| Radicals and Complex Numbers | |
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| Definition of an nth Root | |
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| Rational Exponents | |
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| Simplifying Radical Expressions | |
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| Addition and Subtraction of Radicals | |
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| Multiplication of Radicals | |
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| Rationalization | |
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| Radical Equations | |
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| Complex Numbers | |
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| Summary | |
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| Review Exercises | |
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| Test | |
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| Quadratic Equations and Functions | |
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| Square Root Property and Completing the Square | |
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| Quadratic Formula | |
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| Equations in Quadratic Form | |
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| Graphs of Quadratic Functions | |
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| Vertex of a Parabola and Applications | |
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| Summary | |
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| Review Exercises | |
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| Test | |