Elementary Algebra

1. AN INTRODUCTION TO ALGEBRA. Introducing the Language of Algebra. Fractions. The Real Numbers. Adding Real Numbers; Properties of Addition. Subtracting Real Numbers. Multiplying and Dividing Real Numbers; Multiplication and Division Properties. Exponents and Order of Operations. Algebraic Expressions. Simplifying Algebraic Expressions Using Properties of Real Numbers. Chapter Summary and Review. Chapter Test. Group Project. 2. EQUATIONS, INEQUALITIES, AND PROBLEM SOLVING. Solving Equations Using Properties of Equality. More about Solving Equations. Applications of Percent. Formulas. Problem Solving. More about Problem Solving. Solving Inequalities. Chapter Summary and Review. Chapter Test. Group Project. 3. GRAPHING LINEAR EQUATIONS AND INEQUALITIES IN TWO VARIABLES; FUNCTIONS. Graphing Using the Rectangular Coordinate System. Graphing Linear Equations. Intercepts. Slope and Rate of Change. Slope-Intercept Form. Point-Slope Form. Graphing Linear Inequalities. An Introduction to Functions. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review. 4. SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES. Solving Systems of Equations by Graphing. Solving Systems of Equations by Substitution. Solving Systems of Equations by Elimination (Addition). Problem Solving Using Systems of Equations. Solving Systems of Linear Inequalities. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review. 5. EXPONENTS AND POLYNOMIALS. Rules for Exponents. Zero and Negative Exponents. Scientific Notation. Polynomials. Adding and Subtracting Polynomials. Multiplying Polynomials. Special Products. Dividing Polynomials. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review. 6. FACTORING AND QUADRATIC EQUATIONS. The Greatest Common Factor; Factoring by Grouping. Factoring Trinomials of the Form x2 + bx + c. Factoring Trinomials of the Form ax2 + bx + c . Factoring Perfect-Square Trinomials and the Difference of Two Squares. Factoring the Sum and Difference of Two Cubes. A Factoring Strategy. Solving Quadratic Equations by Factoring. Applications of Quadratic Equations. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review. 7. RATIONAL EXPRESSIONS AND EQUATIONS. Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting with Like Denominators; Least Common Denominators. Adding and Subtracting with Unlike Denominators. Simplifying Complex Fractions. Solving Rational Equations. Problem Solving Using Rational Equations. Proportions and Similar Triangles. Variation. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review. 8. RADICAL EXPRESSIONS AND EQUATIONS. An Introduction to Square Roots. Simplifying Square Roots. Adding and Subtracting Radical Expressions. Multiplying and Dividing Radical Expressions. Solving Radical Equations. Higher-Order Roots and Rational Exponents. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review. 9. QUADRATIC EQUATIONS. Solving Quadratic Equations: The Square Root Property. Solving Quadratic Equations: Completing the Square. Solving Quadratic Equations: The Quadratic Formula. Complex Numbers (Available online at www.cengage.com/math/tussy). Graphing Quadratic Equations (Available online at www.cengage.com/math/tussy). Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review. Appendix 1: Statistics. Appendix 2: Roots and Powers. Appendix 3: Answers to Selected Exercises. Index.