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| 1.1: Algebraic Expressions, Real Numbers, and Interval Notation |
| 1.2: Operations with Real Numbers and Simplifying Algebraic Expressions |
| 1.3: Graphing Equations |
| 1.4: Solving Linear Equations |
| 1.5: Problem Solving and Using Formulas |
| 1.6: Properties of Integral Exponents |
| 1.7: Scientific Notation |
| 2.1: Introduction of Functions |
| 2.2: Graphs of Functions |
| 2.3: The Algebra of Functions |
| 2.4: Linear Functions and Slope |
| 2.5: The Point-Slope Form of the Equation of a Line |
| 3.1: Systems of Linear Equations in Two Variables |
| 3.2: Problem Solving and Business Applications Using Systems of Equations |
| 3.3: Systems of Linear Equations in Three Variables |
| 3.4: Matrix Solutions to Linear Systems |
| 3.5: Determinants and Cramer’s Rule |
| 4.1: Solving Linear Inequalities |
| 4.2: Compound Inequalities |
| 4.3: Equations and Inequalities Involving Absolute Value |
| 4.4: Linear Inequalities in Two Variables |
| 4.5: Linear Programming |
| 5.1: Introduction to Polynomials and Polynomial Functions |
| 5.2: Multiplication of Polynomials |
| 5.3: Greatest Common Factors and Factoring by Grouping |
| 5.4: Factoring Trinomials |
| 5.5: Factoring Special Forms |
| 5.6: A General Factoring Strategy |
| 5.7: Polynomial Equations and Their Applications |
| 6.1: Rational Expressions and Functions: Multiplying and Dividing |
| 6.2: Adding and Subtracting Rational Expressions |
| 6.3: Complex Rational Expressions |
| 6.4: Division of Polynomials |
| 6.5: Synthetic Division and the Remainder Theorem |
| 6.6: Rational Equations |
| 6.7: Formulas and Applications of Rational Equations |
| 6.8: Modeling Using Variation |
| 7.1: Radical Expressions and Functions |
| 7.2: Rational Exponents |
| 7.3: Multiplying and Simplifying Radical Expressions |
| 7.4: Adding, Subtracting, and Dividing Radical Expressions |
| 7.5: Multiplying with More Than One Term and Rationalizing Denominators |
| 7.6: Radical Equations |
| 7.7: Complex Numbers |
| 8.1: The Square Root Property and Completing the Square |
| 8.2: The Quadratic Formula |
| 8.3: Quadratic Functions and Their Graphs |
| 8.4: Equations Quadratic in Form |
| 8.5: Polynomial and Rational Inequalities |
| 9.1: Exponential Functions |
| 9.2: Composite and Inverse Functions |
| 9.3: Logarithmic Functions |
| 9.4: Properties of Logarithms |
| 9.5: Exponential and Logarithmic Equations |
| 9.6: Exponential Growth and Decay: Modeling Data |
| 10.1: Distance and Midpoint Formulas: Circles |
| 10.2: The Ellipse |
| 10.3: The Hyperbola |
| 10.4: The Parabola: Identifying Conic Sections |
| 10.5: Systems of Nonlinear Equations in Two Variables |
| 11.1: Sequences and Summation Notation |
| 11.2: Arithmetic Sequences |
| 11.3: Geometric Sequences and Series |
| 11.4: The Binomial Theorem |