Elementary Algebra For College Students

About our authors Allen Angel received his BS and MS in mathematics from SUNY at New Paltz. He completed additional graduate work at Rutgers University. He taught at Sullivan County Community College and Monroe Community College, where he served as chairperson of the Mathematics Department. He served as Assistant Director of the National Science Foundation at Rutgers University for the summers of 1967 - 1970. He was President of The New York State Mathematics Association of Two-Year Colleges (NYSMATYC). He also served as Northeast Vice President of the American Mathematics Association of Two-Year Colleges (AMATYC). Allen lives in Palm Harbor, Florida but spends his summers in Penfield, New York. He enjoys playing tennis and watching sports. He also enjoys traveling with his wife Kathy.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 27 years at State College of Florida - Manatee - Sarasota. His interests include reading, history, fishing, trivia contests and cooking. He and his wife Kristin are the proud parents of their 3 sons Alex, Nick and Max.

• Real Numbers 1.1 Study Skills for Success in Mathematics1.2 Problem Solving1.3 Fractions1.4 The Real Number System1.5 Inequalities and Absolute Value Mid-Chapter Test: Sections 1.1—1.51.6 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 SystemSolving Linear Equations and Inequalities 2.1 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 Equation Mid-Chapter Test: Sections 2.1—2.42.5 Solving Linear Equations with the Variable on Both Sides of the Equation2.6 Formulas2.7 Ratios and Proportions2.8 Inequalities in One VariableApplications of Algebra 3.1 Changing Application Problems into Equations3.2 Solving Application Problems Mid-Chapter Test: Sections 3.1—3.23.3 Geometric Problems3.4 Motion, Money, and Mixture ProblemsExponents and Polynomials 4.1 Exponents4.2 Negative Exponents4.3 Scientific Notation Mid-Chapter Test: Sections 4.1—4.34.4 Addition and Subtraction of Polynomials4.5 Multiplication of Polynomials4.6 Division of PolynomialsFactoring 5.1 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 ≠ 1 Mid-Chapter Test: Sections 5.1—5.45.5 Special Factoring Formulas and a General Review of Factoring5.6 Solving Quadratic Equations Using Factoring5.7 Applications of Quadratic EquationsRational Expressions and Equations 6.1 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 Expressions Mid-Chapter Test: Sections 6.1—6.46.5 Complex Fractions6.6 Solving Rational Equations6.7 Rational Equations: Applications and Problem Solving6.8 VariationGraphing Linear Equations 7.1 The Cartesian Coordinate System and Linear Equations in Two Variables7.2 Graphing Linear Equations7.3 Slope of a Line Mid-Chapter Test: Sections 7.1—7.37.4 Slope-Intercept and Point-Slope Forms of a Linear Equation7.5 Graphing Linear Inequalities7.6 FunctionsSystems of Linear Equations 8.1 Solving Systems of Equations Graphically8.2 Solving Systems of Equations by Substitution8.3 Solving Systems of Equations by the Addition Method Mid-Chapter Test: Sections 8.1—8.38.4 Systems of Equations: Applications and Problem Solving8.5 Solving Systems of Linear InequalitiesRoots and Radicals 9.1 Evaluating Square Roots9.2 Simplifying Square Roots9.3 Adding, Subtracting, and Multiplying Square Roots9.4 Dividing Square Roots Mid-Chapter Test: Sections 9.1—9.49.5 Solving Radical Equations9.6 Radicals: Applications and Problem Solving9.7 Higher Roots and Rational ExponentsQuadratic Equations 10.1 The Square Root Property10.2 Solving Quadratic Equations by Completing the Square10.3 Solving Quadratic Equations by the Quadratic Formula Mid-Chapter Test: Sections 10.1—10.310.4 Graphing Quadratic Equations10.5 Complex NumbersAppendices A. Review of Decimals and PercentB. Geometry