Elementary Algebra For College Students

Allen R. Angel received his AAS in Electrical Technology from New York City Community College. He then received his BS in Physics and his MS in Mathematics from SUNY at New Paltz, and he took additional graduate work at Rutgers University. He is Professor Emeritus at Monroe Community College in Rochester, New York where he served for many years as the chair of the Mathematics Department. He also served as the Assistant Director of the National Science Foundation Summer Institutes at Rutgers University from 1967—73. He served as the President of the New York State Mathematics Association of Two Year Colleges (NYSMATYC) and the Northeast Vice President of the American Mathematics Association of Two Year Colleges (AMATYC). He is the recipient of many awards including a number of NISOD Excellence in Teaching Awards, NYSMATYC's Outstanding Contributions to Mathematics Education Award, and AMATYC's President Award. Allen enjoy tennis, worldwide travel, and visiting with his children and granddaughter.  Dennis Runde received his BS and MS in mathematics from the University of Wisconsin–Platteville and Milwaukee, respectively. He has a PhD in Mathematics Education from the University of South Florida. He has been teaching for twenty years at State College of Florida, Manatee, and Sarasota Counties and for ten years at Saint Stephen's Episcopal School. Besides coaching little league baseball, his other interests include history, politics, fishing, canoeing, and cooking. He and his wife Kristin stay busy keeping up with their three sons—Alex, Nick, and Max.

• 1. Real Numbers1.1 Study Skills for Success in Mathematics1.2 Problem Solving1.3 Fractions1.4 The Real Number System1.5 Inequalities and Absolute Value1.6 Addition of Real Numbers1.7 Subtraction of Real Numbers1.8 Multiplication and Division of Real Numbers1.9 Exponents, Parentheses, and the Order of Operations1.10 Properties of the Real Number System  2. Solving Linear Equations and Inequalities2.1 Combining Like Terms2.2 The Addition Property of Equality2.3 The Multiplication Property of Equality2.4 Solving Linear Equations with a Variable on Only One Side of the Equation2.5 Solving Linear Equations with the Variable on Both Sides of the Equation2.6 Formulas2.7 Ratios and Proportions2.8 Inequalities in One Variable  3. Applications of Algebra3.1 Changing Application Problems into Equations3.2 Solving Application Problems3.3 Geometric Problems3.4 Motion, Money, and Mixture Problems  4. Exponents and Polynomials4.1 Exponents4.2 Negative Exponents4.3 Scientific Notation4.4 Addition and Subtraction of Polynomials4.5 Multiplication of Polynomials4.6 Division of Polynomials  5. Factoring5.1 Factoring a Monomial from a Polynomial5.2 Factoring by Grouping5.3 Factoring Trinomials of the Form ax2 + bx + c, a = 15.4 Factoring Trinomials of the Form ax2 + bx + c, a ≠ 15.5 Special Factoring Formulas and a General Review of Factoring5.6 Solving Quadratic Equations Using Factoring5.7 Applications of Quadratic Equations  6. Rational Expressions and Equations6.1 Simplifying Rational Expressions6.2 Multiplication and Division of Rational Expressions6.3 Addition and Subtraction of Rational Expressions with a Common Denominator and Finding the Least Common Denominator6.4 Addition and Subtraction of Rational Expressions6.5 Complex Fractions6.6 Solving Rational Equations6.7 Rational Equations: Applications and Problem Solving6.8 Variation  7. Graphing Linear Equations7.1 The Cartesian Coordinate System and Linear Equations in Two Variables7.2 Graphing Linear Equations7.3 Slope of a Line7.4 Slope-Intercept and Point-Slope Forms of a Linear Equation7.5 Graphing Linear Inequalities7.6 Functions  8. Systems of Linear Equations8.1 Solving Systems of Equations Graphically8.2 Solving Systems of Equations by Substitution8.3 Solving Systems of Equations by the Addition Method8.4 Systems of Equations: Applications and Problem Solving8.5 Solving Systems of Linear Inequalities  9. Roots and Radicals9.1 Evaluating Square Roots9.2 Simplifying Square Roots9.3 Adding, Subtracting, and Multiplying Square Roots9.4 Dividing Square Roots9.5 Solving Radical Equations9.6 Radicals: Applications and Problem Solving9.7 Higher Roots and Rational Exponents  10. Quadratic Equations10.1 The Square Root Property10.2 Solving Quadratic Equations by Completing the Square10.3 Solving Quadratic Equations by the Quadratic Formula10.4 Graphing Quadratic Equations10.5 Complex Numbers  Appendix A: Review of Decimals and Percent  Appendix B: Geometry