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| (Note:All chapters end with a Summary and Review section.) | |
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| Fundamental Concepts | |
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| The Real Number System | |
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| Zero and Order of Operations | |
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| Scientific Notation and Powers of 10 | |
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| Measurement | |
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| Operations with Measurements | |
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| Algebraic Expressions | |
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| Exponents and Radicals | |
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| Multiplication of Algebraic Expressions | |
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| Division of Algebraic Expressions | |
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| Linear Equations | |
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| Formulas | |
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| Substitution of Data into Formulas | |
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| Applications Involving Linear Equations | |
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| Ratio and Proportion | |
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| Variation | |
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| Review of Geometry | |
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| Angles and Lines | |
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| Triangles | |
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| Quadrilaterals | |
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| Circles | |
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| Geometric Solids: Areas and Volumes | |
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| Right-Triangle Trigonometry | |
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| The Trigonometric Ratios | |
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| Values of the Trigonometric Ratios | |
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| Solving Right Triangles | |
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| Applications of the Right Triangle | |
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| Equations and Their Graphs | |
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| Functions | |
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| Graphing Equations | |
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| The Straight Line | |
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| Parallel and Perpendicular Lines | |
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| The Distance and Midpoint Formulas | |
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| Factoring and Algebraic Fractions | |
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| Special Products | |
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| Factoring Algebraic Expressions | |
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| Other Forms of Factoring | |
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| Equivalent Fractions | |
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| Multiplication and Division of Algebraic Fractions | |
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| Addition and Subtraction of Algebraic Fractions | |
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| Complex Fractions | |
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| Equations with Fractions | |
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| Systems of Linear Equations | |
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| Solving a System of Two Linear Equations | |
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| Other Systems of Equations | |
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| Solving a System of Three Linear Equations | |
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| Determinants | |
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| Properties of Determinants | |
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| Solving a System of Linear Equations Using Determinants | |
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| Partial Fractions | |
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| Quadratic Equations | |
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| Solving Quadratic Equations by Factoring | |
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| Solving Quadratic Equations by Completing the Square | |
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| The Quadratic Formula | |
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| Applications | |
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| Exponents and Radicals | |
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| Integral Exponents | |
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| Fractional Exponents | |
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| Simplest Radical Form | |
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| Addition and Subtraction of Radicals | |
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| Multiplication and Division of Radicals | |
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| Equations with Radicals | |
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| Equations in Quadratic Form | |
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| Exponentials and Logarithms | |
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| The Exponential Function | |
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| The Logarithm | |
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| Properties of Logarithms | |
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| Common Logarithms | |
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| Natural Logarithms | |
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| Solving Exponential Equations | |
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| Solving Logarithmic Equations | |
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| Applications: Solving Exponential and Logarithmic Equations | |
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| Data Along a Straight Line | |
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| Trigonometric Functions | |
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| The Trigonometric Functions | |
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| Trigonometric Functions of Any Angle | |
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| Radian Measure | |
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| Use of Radian Measure | |
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| Oblique Triangles and Vectors | |
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| Law of Sines | |
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| The Ambiguous Case | |
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| Law of Cosines | |
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| Applications of Oblique Triangles | |
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| Addition of Vectors: Graphical Methods | |
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| Addition of Vectors: Trigonometric Methods | |
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| Vector Components | |
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| Vector Applications | |
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| Graphing the Trigonometric Functions | |
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| Graphing the Sine and Cosine Functions | |
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| Phase Shift | |
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| Graphing the Other Trigonometric Functions | |
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| Graphing Composite Curves | |
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| Simple Harmonic Motion | |
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| Trigonometric Formulas and Identities | |
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| Basic Trigonometric Identities | |
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| Formulas for the Sum and the Difference of Two Angles | |
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| Double- and Half-Angle Formulas | |
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| Trigonometric Equations | |
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| Inverse Trigonometric Functions | |
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| Complex Numbers | |
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| Complex Numbers in Rectangular Form | |
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| Trigonometric and Exponential Forms of Complex Numbers | |
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| Multiplication and Division of Complex Numbers in Exponential and Trigonometric Forms | |
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| Powers and R | |