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| 1.1: Introduction to Algebra: Variables and Mathematical Models |
| 1.2: Fractions in Algebra |
| 1.3: The Real Numbers |
| 1.4: Basic Rules of Algebra |
| 1.5: Addition of Real Numbers |
| 1.6: Subtraction of Real Numbers |
| 1.7: Multiplication and Division of Real Numbers |
| 1.8: Exponents and Order of Operations |
| 2.1: The Addition Property of Equality |
| 2.2: The Multiplication Property of Equality |
| 2.3: Solving Linear Equations |
| 2.4: Formulas and Percents |
| 2.5: An Introduction to Problem Solving |
| 2.6: Problem Solving in Geometry |
| 2.7: Solving Linear Inequalities |
| 3.1: Graphing Linear Equations in Two Variables |
| 3.2: Graphing Linear Equations Using Intercepts |
| 3.3: Slope |
| 3.4: The Slope-Intercept Form of the Equation of a Line |
| 3.5: The Point-Slope Form of the Equation of a Line |
| 3.6: Linear Inequalities in Two Variables |
| 4.1: Solving Systems of Linear Equations by Graphing |
| 4.2: Solving Systems of Linear Equations by the Substitution Method |
| 4.3: Solving Systems of Linear Equations by the Addition Method |
| 4.4: Problem Solving Using Systems of Equations |
| 4.5: Systems of Linear Inequalities |
| 5.1: Adding and Subtracting Polynomials |
| 5.2: Multiplying Polynomials |
| 5.3: Special Products |
| 5.4: Polynomials in Several Variables |
| 5.5: Dividing Polynomials |
| 5.6: Dividing Polynomials by Binomials |
| 5.7: Negative Exponents and Scientific Notation |
| 6.1: The Greatest Common Factor and Factoring by Grouping |
| 6.2: Factoring Trinomials Whose Leading Coefficient is 1 |
| 6.3: Factoring Trinomials Whose Leading Coefficient is Not 1 |
| 6.4: Factoring Special Forms |
| 6.5: A General Factoring Strategy |
| 6.6: Solving Quadratic Equations by Factoring |
| 7.1: Rational Expressions and Their Simplification |
| 7.2: Multiplying and Dividing Rational Expressions |
| 7.3: Adding and Subtracting Rational Expressions with the Same Denominator |
| 7.4: Adding and Subtracting Rational Expressions with the Different Denominators |
| 7.5: Complex Rational Expressions |
| 7.6: Solving Rational Equations |
| 7.7: Applications Using Rational Equations and Proportions |
| 7.8: Modeling Using Variation |
| 8.1: Finding Roots |
| 8.2: Multiplying and Dividing Radicals |
| 8.3: Operations with Radicals |
| 8.4: Rationalizing the Denominator |
| 8.5: Radical Equations |
| 8.6: Rational Exponents |
| 9.1: Solving Quadratic Equations by the Square Root Property |
| 9.2: Solving Quadratic Equations by Completing the Square |
| 9.3: The Quadratic Formula |
| 9.4: Imaginary Numbers as Solutions of Quadratic Equations |
| 9.5: Graphs of Quadratic Equations |
| 9.6: Introduction to Functions |