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| The Real Number System | |
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| Fractions | |
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| Exponents, Order of Operations, and Inequality | |
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| Variables, Expressions, and Equations | |
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| Real Numbers and the Number Line | |
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| Adding and Subtracting Real Numbers | |
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| Multiplying and Dividing Real Number? | |
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| Summary Exercises on Operation with Real Numbers | |
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| Properties of Real Numbers | |
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| Simplifying Expressions | |
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| Linear Equations and Inequalities in One Variable; Applications | |
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| The Addition Property of Equality | |
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| The Multiplication Property of Equality | |
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| More on Solving Linear Equation? | |
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| Summary Exercises on Solving Linear Equations | |
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| An Introduction to Applications of Linear Equations | |
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| Formulas and Applications from Geometry | |
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| Ratios and Proportions | |
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| More about Problem Solving | |
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| Solving Linear Inequalities | |
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| Linear Equations in Two Variables | |
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| Reading Graphs; Linear Equations in Two Variables | |
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| Graphing Linear Equations in Two Variables | |
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| The Slope of a Line | |
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| Equations of a Line | |
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| Exponents and Polynomials | |
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| The Product Rule and Power Rules for Exponents | |
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| Integer Exponents and the Quotient Rul? | |
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| Summary Exercises on the Rules for Exponents | |
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| An Application of Exponents: Scientific Notation | |
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| Adding and Subtracting Polynomials; Graphing Simple Polynomials | |
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| Multiplying Polynomials | |
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| Special Products | |
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| Dividing Polynomials | |
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| Factoring and Applications | |
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| The Greatest Common Factor; Factoring by Grouping | |
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| Factoring Trinomials | |
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| More on Factoring Trinomials | |
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| Special Factoring Technique? | |
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| Summary Exercises on Factoring | |
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| Solving Quadratic Equations by Factoring | |
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| Applications of Quadratic Equations | |
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| Rational Expressions and Applications | |
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| The Fundamental Property of Rational Expressions | |
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| Multiplying and Dividing Rational Expressions | |
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| Least Common Denominators | |
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| Adding and Subtracting Rational Expressions | |
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| Complex Fractions | |
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| Solving Equations With Rational Expression? | |
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| Summary Exercises on Rational Expressions and Equations | |
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| Applications of Rational Expressions | |
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| Equations of Lines; Functions | |
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| Review of Graphs and Slopes of Lines | |
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| Review of Equations of Lines; Linear Models | |