Intermediate Algebra for College Students

(NOTE: Each chapter ends with a Summary, Review Exercises, and Practice Test section.) 1. Basic Concepts. Study Skills for Success in Mathematics and Using a Calculator. Sets and Other Basic Concepts. Properties of and Operations with Real Numbers. Order of Operations. 2. Equations and Inequalities. Solving Equations. Formulas. Applications of Algebra. Additional Application Problems. Solving Linear Inequalities. Solving Equations and Inequalities Containing Absolute Values. 3. Graphs and Functions. The Cartesian Coordinate System, Distance, and Midpoint Formulas. Graphing Linear Equations. Slope-Intercept and Point-Slope Forms of a Linear Equation. Relations and Functions. Linear and Nonlinear Functions. Graphing Linear Inequalities. 4. Systems of Equations and Inequalities. Solving Systems of Linear Equations. Third-Order Systems of Linear Equations. Applications of Systems of Linear Equations. Solving Systems of Equations by Determinants and Cramers Rule. Solving Systems of Equations Using Matrices. Solving Systems of Linear Inequalities. 5. Polynomials and Polynomial Functions. Exponents and Scientific Notation. More on Exponents. Addition, Subtraction, and Multiplication of Polynomials. Division of Polynomials. Synthetic Division. Polynomial Functions. 6. Factoring. Factoring a Monomial from a Polynomial and Factoring by Grouping. Factoring Trinomials. Special Factoring Formulas. General Review of Factoring. Solving Equations Using Factoring. 7. Rational Expressions and Equations. The Domain of Rational Functions and Multiplication and Division of Rational Expressions. Addition and Subtraction of Rational Expressions. Complex Fractions. Solving Rational Equations. Applications of Rational Equations. Variation. 8. Roots, Radicals and Complex Numbers. Roots and Radicals. Rational Exponents. Multiplying and Simplifying Radicals. Dividing and Simplifying Radicals. Adding and Subtracting Radicals. Solving Radical Equations. Complex Numbers. 9. Quadratic Functions and the Algebra Functions. Solving Quadratic Equations by Completing the Square. Solving Quadratic Equations by the Quadratic Formula. Writing Equations in Quadratic Form. Quadratic and Other Inequalities in One Variable. The Algebra of Functions. Inverse Functions. 10. Conic Sections. The Circle. The Ellipse. The Parabola. The Hyperbola. Nonlinear Systems of Equations and Their Applications. Nonlinear Systems of Inequalities. 11. Exponential and Logarithmic Functions. Exponential and Logarithmic Functions. Properties of Logarithms. Common Logarithms. Exponential and Logarithmic Equations. The Natural Exponential Function and Natural Logarithms. 12. Sequences, Series, and the Binomial Theorem. Sequences and Series. Arithmetic Sequences and Series. Geometric Sequences and Series. Infinite Geometric Series. The Binomial Theorem. Appendices. A: A Review of Fractions. B: Geometric Formulas. Answers. Index.