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| 1.1: Patterns and Expressions |
| 1.2: Properties of Real Numbers |
| 1.3: Algebraic Expressions |
| 1.4: Solving Equations |
| 1.5: Solving Inequalities |
| 1.6: Absolute Value Equations and Inequalities |
| 2.1: Relations and Functions |
| 2.2: Direct Variation |
| 2.3: Linear Functions and Slope-Intercept Form |
| 2.4: More About Linear Equations |
| 2.5: Using Linear Models |
| 2.6: Families of Functions |
| 2.7: Absolute Value Functions and Graphs |
| 2.8: Two Variable Inequalities |
| 3.1: Solving Systems Using Tables and Graphs |
| 3.2: Solving Systems Algebraically |
| 3.3: Systems of Inequalities |
| 3.4: Linear Programming |
| 3.5: Systems with Three Variables |
| 3.6: Solving Systems Using Matrices |
| 4.1: Quadratic Functions and Transformations |
| 4.2: Standard Form of a Quadratic Equation |
| 4.3: Modeling with Quadratic Functions |
| 4.4: Factoring Quadratic Expressions |
| 4.5: Quadratic Equations |
| 4.6: Completing the Square |
| 4.7: The Quadratic Formula |
| 4.8: Complex Numbers |
| 4.9: Quadratic Systems |
| 5.1: Polynomial Functions |
| 5.2: Polynomials, Linear Factors, and Zeros |
| 5.3: Solving Polynomial Equations |
| 5.4: Dividing Polynomials |
| 5.5: Theorems About Roots of Polynomial Equations |
| 5.6: The Fundamental Theorem of Algebra |
| 5.7: The Binomial Theorem |
| 5.8: Polynomial Models in the Real World |
| 5.9: Transforming Polynomial Functions |
| 6.1: Roots and Radical Expressions |
| 6.2: Multiplying and Dividing Radical Expressions |
| 6.3: Binomial Radical Expressions |
| 6.4: Rational Exponents |
| 6.5: Solving Square Root and Other Radical Equations |
| 6.6: Function Operations |
| 6.7: Inverse Relations and Functions |
| 6.8: Graphing Radical Functions |
| 7.1: Exploring Exponential Models |
| 7.2: Properties of Exponential Functions |
| 7.3: Logarithmic Functions as Inverses |
| 7.4: Properties of Logarithms |
| 7.5: Exponential and Logarithmic Equations |
| 7.6: Natural Logarithms |
| 8.1: Inverse Variation |
| 8.2: The Reciprocal Function Family |
| 8.3: Rational Functions and Their Graphs |
| 8.4: Rational Expressions |
| 8.5: Adding and Subtracting Rational Expressions |
| 8.6: Solving Rational Equations |
| 9.1: Mathematical Patterns |
| 9.2: Arithmetic Sequences |
| 9.3: Geometric Sequences |
| 9.4: Arithmetic Series |
| 9.5: Geometric Series |
| 10.1: Exploring Conic Sections |
| 10.2: Parabolas |
| 10.3: Circles |
| 10.4: Ellipses |
| 10.5: Hyperbolas |
| 10.6: Translating Conic Sections |
| 11.1: Permutations and Combinations |
| 11.2: Probability |
| 11.3: Probability of Multiple Events |
| 11.4: Conditional Probability |
| 11.5: Probability Models |
| 11.6: Analyzing Data |
| 11.7: Standard Deviation |
| 11.8: Samples and Surveys |
| 11.9: Binomial Distributions |
| 11.10: Normal Distributions |
| 12.1: Adding and Subtracting Matrices |
| 12.2: Matrix Multiplication |
| 12.3: Determinants and Inverses |
| 12.4: Inverse Matrices and Systems |
| 12.5: Geometric Transformations |
| 12.6: Vectors |
| 13.1: Exploring Periodic Data |
| 13.2: Angles and the Unit Circle |
| 13.3: Radian Measure |
| 13.4: The Sine Function |
| 13.5: The Cosine Function |
| 13.6: The Tangent Function |
| 13.7: Translating Sine and Cosine Functions |
| 13.8: Reciprocal Trigonometric Functions |
| 14.1: Trigonometric Identities |
| 14.2: Solving Trigonometric Equations Using Inverses |
| 14.3: Right Triangles and Trigonometric Ratios |
| 14.4: Area and the Law of Sines |
| 14.5: The Law of Cosines |
| 14.6: Angle Identities |
| 14.7: Double-Angle and Half-Angle Identities |