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| The Real Number System | |
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| Real Numbers: Order and Absolute Value | |
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| Adding and Subtracting Integers | |
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| Multiplying and Dividing Integers | |
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| Operations with Rational Numbers | |
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| Exponents, Order of Operations, and Properties of Real Numbers | |
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| Fundamentals of Algebra | |
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| Writing and Evaluating Algebraic Expressions | |
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| Simplifying Algebraic Expressions | |
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| Algebra and Problem Solving | |
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| Introduction to Equations | |
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| Equations, Inequalities, and Problem Solving | |
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| Solving Linear Equations | |
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| Equations That Reduce to Linear Form | |
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| Problem Solving with Percents | |
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| Ratios and Proportions | |
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| Geometric and Scientific Applications | |
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| Linear Inequalities | |
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| Absolute Value Equations and Inequalities Cumulative Test: Chapters 1-3 | |
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| Graphs and Functions | |
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| Ordered Pairs and Graphs | |
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| Graphs of Equations in Two Variables | |
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| Relations, Functions, and Graphs | |
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| Slope and Graphs of Linear Equations | |
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| Equations of Lines | |
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| Graphs of Linear Inequalities | |
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| Exponents and Polynomials | |
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| Integer Exponents and Scientific Notation | |
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| Adding and Subtracting Polynomials | |
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| Multiplying Polynomials: Special Products | |
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| Dividing Polynomials and Synthetic Division | |
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| Factoring and Solving Equations | |
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| Factoring Polynomials with Common Factors | |
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| Factoring Trinomials | |
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| More About Factoring Trinomials | |
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| Factoring Polynomials with Special Forms | |
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| Solving Polynomial Equations by Factoring Culmulative Test: Chapters 4-6 | |
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| Rational Expressions, Equations, and Functions | |
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| Rational Expressions and Functions | |
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| Multiplying and Dividing Rational Expressions | |
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| Adding and Subtracting Rational Expressions | |
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| Complex Fractions | |
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| Solving Rational Equations | |
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| Applications and Variation | |
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| Systems of Equations and Inequalities | |
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| Solving Systems of Equations by Graphing and Substitution | |
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| Solving Systems of Equations by Elimination | |
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| Linear Systems in Three Variables | |
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| Matrices and Linear Systems | |
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| Determinants and Linear Systems | |
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| Systems of Linear Inequalities | |
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| Radicals and Complex Numbers | |
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| Radicals and Rational Exponents | |
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| Simplifying Radical Expressions | |
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| Adding and Subtracting Radical Expressions | |
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| Multiplying and Dividing Radical Expressions | |
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| Radical Equations and Applications | |
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| Complex Numbers Cumulative Test: Chapters 7-9 | |
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| Quadratic Equations, Functions, and Inequalities | |
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| Solving Quadratic Equations: Factoring and Special Forms | |
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| Completing the Square | |
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| The Quadratic Formula | |
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| Graphs of Quadratic Functions | |
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| Applications of Quadratic Equations | |
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| Quadratic and Rational Inequalities | |
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| Exponential and Logarithmic Functions | |
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| Exponential Functions | |
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| Composite and Inverse Functions | |
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| Logarithmic Functions | |
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| Properties of Logarithms | |
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| Solving Exponential and Logarithmic Equations | |
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| Applications | |
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| Conics | |
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| Circles and Parabolas | |
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| Ellipses | |
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| Hyperbolas | |
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| Solving Nonlinear Systems of Equations Cumulative Test: Chapters 10-12 | |
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| Sequences, Series, and the Binomial Theorem | |
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| Sequences and Series | |
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| Arithmetic Sequences | |
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| Geometric Sequences and Series | |
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| The Binomial Theorem Appendices | |
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| Review of Elementary Algebra Topics | |
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| Introduction to Graphing Calculators | |
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| Further Concepts in Geometry (available on the textbook website and in Eduspace) | |
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| Further Concepts in Statistics (available on the textbook website and in Eduspace) | |
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| Introduction to Logic (available on the textbook website and in Eduspace) | |
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| Counting Principles (available on the textbook website and in Eduspace) | |
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| Probability (available on the textbook website and in Eduspace) | |