Table of Content
(Each Chapter concludes with a Summary, Review Exercises, Test and excluding Chapter 1 Cummulative Review Exercises.) 1. The Real Number System. Exponents, Order of Operations, and Inequality. Variables, Expressions, and Equations. Real Numbers and the Number Line. Addition of Real Numbers. Subtraction of Real Numbers. Multiplication of Real Numbers. Division of Real Numbers. Properties of Addition and Multiplication. Simplifying Expressions. 2. Linear Equations and Applications. The Addition Property of Equality. The Multiplication Property of Equality. More on Solving Linear Equations. An Introduction to Applied Problems. Formulas and Geometry Applications. Ratio and Proportion; Percent. 3. Linear Inequalities and Absolute Value. Linear Inequalities in One Variable. Set Operations and Compound Inequalities. Absolute Value Equations and Inequalities. Summary on Solving Linear and Absolute Value Equations and Inequalities. 4. Linear Equations and Inequalities in Two Variables; Functions. The Rectangular Coordinate System. The Slope of a Line. Linear Equations in Two Variables. Linear Inequalities in Two Variables. An Introduction to Functions. An Application of Functions; Variation. 5. Systems of Linear Equations. Solving Systems of Linear Equations by Graphing. Solving Systems of Linear Equations by Addition. Solving Systems of Linear Equations by Substitution. Linear Systems of Equations in Three Variables. Applications of Linear Systems. Determinants. Solution of Linear Systems of Equations by Determinants—Cramer's Rule. 6. Exponents and Polynomials. The Product Rule and Power Rules for Exponents. Integer Exponents and the Quotient Rule. An Application of Exponents: Scientific Notation. Addition and Subtraction of Polynomials. Multiplication of Polynomials. Products of Binomials. Division of a Polynomial by a Monomial. The Quotient of Two Polynomials. 7. Factoring. Factors; The Greatest Common Factor. Factoring Trinomials. More on Factoring Trinomials. Special Factorizations. Summary Exercises on Factoring. Solving Quadratic Equations by Factoring. Applications of Quadratic Equations. 8. Rational Expressions. The Fundamental Property of Rational Expressions. Multiplication and Division of Rational Expressions. Least Common Denominators. Addition and Subtraction of Rational Expressions. Complex Fractions. Equations Involving Rational Expressions. Summary Exercises on Rational Expressions. Applications of Rational Expressions. 9. Roots and Radicals. Finding Roots. Multiplication and Division of Radicals. Addition and Subtraction of Radicals. Rationalizing the Denominator. Simplifying Radical Expressions. Equations with Radicals. Complex Numbers. 10. Quadratic Equations and Inequalities. Solving Quadratic Equations by the Square Root Property. Solving Quadratic Equations by Completing the Square. Solving Quadratic Equations by the Quadratic Formula. Equations Quadratic in Form. Formulas and Applications Involving Quadratic Equations. Nonlinear and Fractional Inequalities. 11. Graphs of Nonlinear Functions and Conic Sections. Graphs of Quadratic Functions; Vertical Parabolas. More About Quadratic Functions; Horizontal Parabolas. Graphs of Elementary Functions and Circles. Ellipses and Hyperbolas. Nonlinear Systems of Equations. Second-Degree Inequalities; Systems of Inequalities. 12. Exponential and Logarithmic Functions. Inverse Functions. Exponential Functions. Logarithmic Functions. Properties of Logarithms. Evaluating Logarithms. Exponential and Logarithmic Equations and Their Applications. Answers to Selected Exercises. Solutions to Selected Exercises. Index. Video Correlation Guide.
