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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 | |