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Introduction to Algebra: Integers | |

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Study Skills: Your Brain Can Learn Mathematics | |

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Place Value | |

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Study Skills: Using Your Textbook | |

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Introduction to Integers | |

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Study Skills: Homework: How, Why, and When | |

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Adding Integers | |

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Subtracting Integers | |

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Problem Solving: Rounding and Estimating | |

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Multiplying Integers | |

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Dividing Integers | |

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Summary Exercises on Operations with Integers | |

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Study Skills: Taking Lecture Notes | |

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Exponents and Order of Operations | |

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Study Skills: Reviewing a Chapter | |

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Study Skills: Managing Your Time | |

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Understanding Variables and Solving Equations | |

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Introduction to Variables | |

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Study Skills: Using Study Cards | |

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Simplifying Expressions | |

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Study Skills: Using Study Cards Revisited | |

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Summary Exercises on Variables and Expressions | |

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Solving Equations Using Addition | |

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Solving Equations Using Division | |

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Solving Equations with Several Steps | |

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Study Skills: Tips for Taking Math Tests | |

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Solving Application Problems | |

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Problem Solving: Perimeter | |

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Problem Solving: Area | |

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Summary Exercises on Perimeter and Area | |

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Solving Application Problems with One Unknown Quantity | |

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Solving Application Problems with Two Unknown Quantities | |

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Study Skills: Tips for Improving Test Scores | |

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Math in the Media: Formulas: Predicting a Young Child's Vocabulary | |

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Rational Numbers: Positive and Negative Fractions | |

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Introduction to Signed Fractions | |

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Writing Fractions in Lowest Terms | |

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Multiplying and Dividing Signed Fractions | |

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Adding and Subtracting Signed Fractions | |

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Study Skills: Making a Mind Map | |

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Problem Solving: Mixed Numbers and Estimating | |

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Summary Exercises on Fractions | |

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Exponents, Order of Operations, and Complex Fractions | |

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Problem Solving: Equations Containing Fractions | |

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Geometry Applications: Area and Volume | |

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Study Skills: Analyzing Your Test Results | |

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Rational Numbers: Positive and Negative Decimals | |

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Reading and Writing Decimal Numbers | |

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Rounding Decimal Numbers | |

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Adding and Subtracting Signed Decimal Numbers | |

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Multiplying Signed Decimal Numbers | |

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Dividing Signed Decimal Numbers | |

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Summary Exercises on Decimals | |

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Fractions and Decimals | |

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Problem Solving with Statistics: Mean, Median, and Mode | |

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Geometry Applications: Pythagorean Theorem and Square Roots | |

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Problem Solving: Equations Containing Decimals | |

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Geometry Applications: Circles, Cylinders, and Surface Area | |

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Ratio, Proportion, and Line/Angle/Triangle Relationships | |

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Ratios | |

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Rates | |

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Proportions | |

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Summary Exercises on Ratios, Rates, and Proportions | |

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Problem Solving with Proportions | |

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Geometry: Lines and Angles | |

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Geometry Applications: Congruent and Similar Triangles | |

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Percent | |

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The Basics of Percent | |

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The Percent Proportion | |

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The Percent Equation | |

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Summary Exercises on Percent | |

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Problem Solving with Percent | |

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Consumer Applications: Sales Tax, Tips, Discounts, and Simple Interest | |

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Study Skills: Preparing for Your Final Exam | |

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Measurement | |

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Problem Solving with U.S. Measurement Units | |

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The Metric System-Length | |

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The Metric System-Capacity and Weight (Mass) | |

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Summary Exercises on U.S. and Metric Measurement Units | |

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Problem Solving with Metric Measurements | |

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Metric-U.S. Measurement Conversions and Temperature | |

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Graphs | |

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Problem Solving with Tables and Pictographs | |

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Reading and Constructing Circle Graphs | |

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Bar Graphs and Line Graphs | |

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The Rectangular Coordinate System | |

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Introduction to Graphing Linear Equations | |

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Real Numbers, Equations, and Inequalities | |

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Real Numbers and Expressions | |

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More on Solving Linear Equations | |

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Formulas and Solving for a Specified Variable | |

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Solving Linear Inequalities | |

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Graphs of Linear Equations and Inequalities in Two Variables | |

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Linear Equations in Two Variables; The Rectangular Coordinate System | |

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Graphing Linear Equations in Two Variables | |

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The Slope of a Line | |

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Writing and Graphing Equations of Lines | |

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Summary Exercises: Applying Graphing and Equation-Writing Techniques for Lines | |

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Graphing Linear Inequalities in Two Variables | |

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Systems of Equations and Inequalities | |

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Solving Systems of Linear Equations by Graphing | |

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Solving Systems of Linear Equations by Substitution | |

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Solving Systems of Linear Equations by Elimination | |

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Summary Exercises: Applying Techniques for Solving Systems of Linear Equations | |

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Application of Linear Systems | |

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Solving Systems of Linear Inequalities | |

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Exponents and Polynomials | |

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Adding and Subtracting Polynomials | |

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The Product Rule and Power Rules for Exponents | |

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Multiplying Polynomials | |

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Special Products | |

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Integer Exponents and the Quotient Rule | |

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Summary Exercises: Applying the Rules for Exponents | |

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Dividing a Polynomial by a Monomial | |

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Dividing a Polynomial by a Polynomial | |

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An Application of Exponents: Scientific Notation | |

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Factoring and Applications | |

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Factors; The Greatest Common Factor | |

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Factoring Trinomials | |

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Factoring Trinomials by Grouping | |

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Factoring Trinomials Using FOIL | |

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Special Factoring Techniques | |

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Summary Exercises: Recognizing and Applying Factoring Strategies | |

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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 Expressions | |

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Summary Exercises: Simplifying Rational Expressions vs. Solving Rational Equations | |

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Applications of Rational Expressions | |

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Variation | |

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Roots and Radicals | |

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Evaluating Roots | |

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Multiplying, Dividing, and Simplifying Radicals | |

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Adding and Subtracting Radicals | |

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Rationalizing the Denominator | |

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More Simplifying and Operations with Radicals | |

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Summary Exercises: Applying Operations with Radicals | |

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Solving Equations with Radicals | |

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Quadratic Equations | |

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Solving Quadratic Equations by the Square Root Property | |

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Solving Quadratic Equations by Completing the Square | |

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Solving Quadratic Equations by the Quadratic Formula | |

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Summary Exercises: Applying Methods for Solving Quadratic Equations | |

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Graphing Quadratic Equations | |

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Introduction to Functions | |

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Whole Numbers Review | |

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Adding Whole Numbers | |

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Subtracting Whole Numbers | |

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Multiplying Whole Numbers | |

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Dividing Whole Numbers | |

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Long Division | |

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Inductive and Deductive Reasoning | |

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Set Operations and Compound Inequalities | |

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Absolute Value Equations and Inequalities | |

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Writing Equations of Parallel and Perpendicular Lines | |

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Factoring Sums and Differences Cubes | |

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The Distance and Midpoint Formulas | |

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Rational Exponents | |