Description: (Each chapter concludes with a Summary, Review and Test.) 1. Algebra and Problem Solving. Some Basics of Algebra. Operations and Properties of Real Numbers. Solving Equations. Introduction to Problem Solving. Formulas, Models and Geometry. Properties of Exponents. Scientific Notation. 2. Graphs, Functions, and Linear Equations. Graphs. Functions. Linear Functions: Graphs and Models. Another Look at Linear Graphs. Other Equations of Lines. The Algebra of Functions. 3. Systems of Equations and Problem Solving. Systems of Equations in Two Variables Solving by Substitution or Elimination. Solving Applications: Systems of Two Equations. Systems of Equations in Three Variables. Solving Applications: Systems of Three Equations. Elimination Using Matrices. Determinants and Cramer's Rule. Business and Economic Applications. Cumulative Review: Chapters 1-3. 4. Inequalities and Problem Solving. Inequalities and Applications. Intersections, Unions, and Compound Inequalities. Absolute-Value Equations and Inequalities. Inequalities in Two Variables. Applications Using Linear Programming. 5. Polynomials and Polynomial Functions. Introduction to Polynomials and Polynomial Functions. Multiplication of Polynomials. Common Factors and Factoring by Grouping. Factoring Trinomials. Factoring Perfect-Square Trinomials and Differences of Squares. Factoring Sums or Differences of Cubes. Factoring: A General Strategy. Applications of Polynomial Equations. 6. Rational Expressions, Equations, and Functions. Rational Expressions and Functions: Multiplying and Dividing. Rational Expressions and Functions: Adding and Subtracting. Complex Rational Expressions. Rational Equations. Solving Applications Using Rational Equations. Division of Polynomials. Synthetic Division. Formulas and Applications. Cumulative Review: Chapters 1-6. 7. Exponents and Radicals. Radical Expressions and Functions. Rational Numbers as Exponents. Multiplying, Adding and Subtracting Radical Expressions. Multiplying, Dividing, and Simplifying Radical Expressions. More with Multiplication and Division. Solving Radical Equations. Geometric Applications. The Complex Numbers. 8. Quadratic Functions and Equations. Quadratic Equations. The Quadratic Formula. Applications Involving Quadratic Equations. Studying Solutions Quadratic Equations. Equations Reducible to Quadratic. Variation and Problem Solving. Quadratic Functions and Their Graphs. More About Graphing Quadratic Functions. Problem Solving and Quadratic Functions. Polynomial and Rational Inequalities. 9. Exponential and Logarithmic Functions. Exponential Functions. Composite and Inverse Functions. Logarithmic Functions. Properties of Logarithmic Functions. Common and Natural Logarithms. Solving Exponential and Logarithmic Equations. Applications of Exponential and Logarithmic Functions. Cumulative Review: Chapters 1-9. 10. Conic Sections. Conic Sections: Parabolas and Circles. Conic Sections: Ellipses. Conic Sections: Hyperbolas. Nonlinear Systems of Equations. 11. Sequences, Series, and the Binomial Theorem. Sequences and Series. Arithmetic Sequences and Series. Geometric Sequences and Series. The Binomial Theorem. Cumulative Review: Chapters 1-11. Answers. Index.

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