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1. Real Numbers, Algebraic Expressions, and Equations Algebraic Expressions and Sets of Numbers Operations on Real Numbers Properties of Real Numbers Solving Linear Equations Algebraically An Introduction to Problem Solving A Numerical Approach: Modeling with Tables Formulas and Problem Solving Interpreting Data and Reading Bar, Line, and Circle Graphs 2. Graphs and Functions Introduction to Graphing Introduction to Functions Graphing Linear Functions The Slope of a Line Equations of Lines Interpreting Data: Linear Models 3. Equations and Inequalities Solving Linear Equations Graphically Linear Inequalities and Problem Solving Compound Inequalities Absolute Value Equations Absolute Value Inequalities Graphing Linear Inequalities in Two Variables 4. Systems of Equations Solving Systems of Linear Equations in Two Variables Solving Systems of Linear Equations in Three Variables Systems of Linear Equations and Problem Solving Solving Systems of Equations by Matrices Solving Systems of Equations by Determinants 5. Exponents, Polynomials, and Polynomial Functions Exponents and Scientific Notation More Work with Exponents and Scientific Notation Polynomials and Polynomial Functions Multiplying Polynomials The Greatest Common Factor and Factoring by Grouping Factoring Trinomials Factoring by Special Products and Factoring Strategies Solving Equations by Factoring and Problem Solving 6. Rational Expressions Rational Functions and Multiplying and Dividing Rational Expressions Adding and Subtracting Rational Expressions Simplifying Complex Fractions Dividing Polynomials Synthetic Division and the Remainder Theorem Solving Equations Containing Rational Expressions Rational Equations and Problem Solving Variation and Problem Solving 7. Rational Exponents, Radicals, and Complex Numbers 8. Quadratic Equations and Functions Solving Quadratic Equations by Completing the Square Solving Quadratic Equations by the Quadratic Formula Solving Equations by Using Quadratic Methods Nonlinear Inequalities in One Variable Quadratic Functions and Their Graphs Further Graphing of Quadratic Functions Interpreting Data: Linear and Quadratic Models 9. Exponential and Logarithmic Functions The Algebra of Functions: Composite Functions Inverse Functions Exponential Functions Logarithmic Functions Properties of Logarithms Common Logarithms, Natural Logarithms, and Change of Base Exponential and Logarithmic Equations and Applications 10. Conic Sections The Parabola and the Circle The Ellipse and the Hyperbola Solving Nonlinear Systems of Equations Nonlinear Inequalities and Systems of Inequalities 11. Sequences, Series and the Binomial Theorem Sequences Arithmetic and Geometric Sequences Series Partial Sums of Arithmetic and Geometric Sequences The Binomial Theorem |
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