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Operations with Real Numbers | |
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Preparing for an Algebra Class | |
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The Real Number Line | |
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Addition of Real Numbers | |
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Subtraction of Real Numbers | |
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Multiplication of Real Numbers and Natural Number Exponents | |
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Division of Real Numbers | |
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Order of Operations | |
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Linear Equations and Patterns | |
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The Rectangular Coordinate System and Arithmetic Sequences | |
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Function Notation and Linear Functions | |
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Graphs of Linear Equations in Two Variables | |
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Solving Linear Equations in One Variable by Using the Addition-Subtraction Principle | |
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Solving Linear Equations in One Variable by Using the Multiplication-Division Principle | |
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Using and Rearranging Formulas | |
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Proportions and Direct Variation | |
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More Applications of Linear Equations | |
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Lines and Systems of Linear Equations in Two Variables | |
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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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Solving Systems of Linear Equations in Two Variables Graphically and Numerically | |
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Solving Systems of Linear Equations in Two Variables by the Substitution Method | |
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Solving Systems of Linear Equations in Two Variables by the Addition Method | |
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More Applications of Linear Systems Cumulative Review of Chapters 1-3 | |
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Linear Inequalities and Systems of Linear Inequalities | |
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Solving Linear Inequalities by Using the Addition-Subtraction Principle | |
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Solving Linear Inequalities by Using the Multiplication-Divison Principle | |
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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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Exponents and Operations with Polynomials | |
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Product and Power Rules for Exponents | |
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Quotient Rule and Zero Exponents | |
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Negative Exponents and Scientific Notation | |
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Adding and Subtracting Polynomials | |
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Multiplying Polynomials | |
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Special Products of Binomials | |
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Dividing Polynomials Diagonostic Review of Beginning Algebra | |
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Factoring Polynomials | |
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An Introduction to Factoring Polynomials | |
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Factoring Trinomials of the Form x2 + bxy + cy2 | |
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Factoring Trinomials of the Form ax2 + bxy + cy2 | |
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Factoring Special Forms | |
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Factoring by Grouping and a General Strategy for Factoring Polynomials | |
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Solving Equations by Factoring | |
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Functions: Linear, Absolute Value, and Quadratic | |
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Functions and Representations of Functions | |
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Linear and Absolute Value Functions | |
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Linear and Quadratic Functions and Curve Fitting | |
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Using the Quadratic Formula to find Real Solutions | |
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The Vertex of a Parabola and Max-Min Applications | |
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More Applications of Quadratic Equations | |
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Complex Numbers and Solving Quadratic Equations with Complex Solutions | |
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Rational Functions | |
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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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Solving Equations Containing Rational Expressions | |
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Inverse and Joint Variation and Other Applications Yielding Equations with Fractions Cumulative Review of Chapters 1-8 | |
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Square Root and Cube Root Functions and Rational Exponents | |
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Evaluating Radical Expressions and Graphs of 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 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 Cumulative Review of Chapters 1-10 | |
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A Preview of College Algebra | |
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Solving Systems of Linear Equations by Using Augmented Matrices | |
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Systems of Linear Equations in Three Variables | |
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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 | |