Elementary and Intermediate 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.

• Preface To the Student 1. Real Numbers 1.1 Study Skills for Success in Mathematics1.2 Problem Solving1.3 Fractions1.4 The Real Number System1.5 Inequalities 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 System Chapter 1 SummaryChapter 1 Review ExercisesChapter 1 Practice Test2. Solving 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 Variable Chapter 2 SummaryChapter 2 Review ExercisesChapter 2 Practice TestCumulative Review Test3. Applications 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 Problems Chapter 3 SummaryChapter 3 Review ExercisesChapter 3 Practice TestCumulative Review Test4. Graphing Linear Equations 4.1 The Cartesian Coordinate System and Linear Equations in Two Variables4.2 Graphing Linear Equations4.3 Slope of a Line Mid-Chapter Test: Sections 4.1-4.34.4 Slope-Intercept and Point-Slope Forms of a Linear Equation Chapter 4 SummaryChapter 4 Review ExercisesChapter 4 Practice TestCumulative Review Test5. Exponents and Polynomials 5.1 Exponents5.2 Negative Exponents5.3 Scientific Notation Mid-Chapter Test: Sections 5.1-5.35.4 Addition and Subtraction of Polynomials5.5 Multiplication of Polynomials5.6 Division of Polynomials Chapter 5 SummaryChapter 5 Review ExercisesChapter 5 Practice TestCumulative Review Test6. Factoring 6.1 Factoring a Monomial from a Polynomial6.2 Factoring by Grouping6.3 Factoring Trinomials of the Form ax2 + bx + c, a = 16.4 Factoring Trinomials of the Form ax2 + bx + c, a ≠ 1 Mid-Chapter Test: Sections 6.1-6.46.5 Special Factoring Formulas and a General Review of Factoring6.6 Solving Quadratic Equations Using Factoring6.7 Applications of Quadratic Equations Chapter 6 SummaryChapter 6 Review ExercisesChapter 6 Practice TestCumulative Review Test7. Rational Expressions and Equations 7.1 Simplifying Rational Expressions7.2 Multiplication and Division of Rational Expressions7.3 Addition and Subtraction of Rational Expressions with a Common Denominator and Finding the Least Common Denominator7.4 Addition and Subtraction of Rational Expressions Mid-Chapter Test: Sections 7.1-7.47.5 Complex Fractions7.6 Solving Rational Equations7.7 Rational Equations: Applications and Problem Solving7.8 Variation Chapter 7 SummaryChapter 7 Review ExercisesChapter 7 Practice TestCumulative Review Test8. Functions and Their Graphs 8.1 More on Graphs8.2 Functions8.3 Linear Functions Mid-Chapter Test: Sections 8.1-8.38.4 Slope, Modeling, and Linear Relationships8.5 The Algebra of Functions Chapter 8 SummaryChapter 8 Review ExercisesChapter 8 Practice TestCumulative Review Test9. Systems of Linear Equations 9.1 Solving Systems of Equations Graphically9.2 Solving Systems of Equations by Substitution9.3 Solving Systems of Equations by the Addition Method9.4 Solving Systems of Linear Equations in Three Variables Mid-Chapter Test: Sections 9.1-9.49.5 Systems of Linear Equations: Applications and Problem Solving9.6 Solving Systems of Equations Using Matrices9.7 Solving Systems of Equations Using Determinants and Cramer’s Rule Chapter 9 SummaryChapter 9 Review ExercisesChapter 9 Practice TestCumulative Review Test10. Inequalities in One and Two Variables 10.1 Solving Linear Inequalities in One Variable10.2 Solving Equations and Inequalities Containing Absolute Values Mid-Chapter Test: Sections 10.1-10.210.3 Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities Chapter 10 SummaryChapter 10 Review ExercisesChapter 10 Practice TestCumulative Review Test11. Roots, Radicals, and Complex Numbers 11.1 Roots and Radicals11.2 Rational Exponents11.3 Simplifying Radicals11.4 Adding, Subtracting, and Multiplying Radicals Mid-Chapter Test: Sections 11.1-11.411.5 Dividing Radicals11.6 Solving Radical Equations11.7 Complex Numbers Chapter 11 SummaryChapter 11 Review ExercisesChapter 11 Practice TestCumulative Review Test12. Quadratic Functions 12.1 Solving Quadratic Equations by Completing the Square12.2 Solving Quadratic Equations by the Quadratic Formula12.3 Quadratic Equations: Applications and Problem Solving Mid-Chapter Test: Sections 12.1-12.312.4 Factoring Expressions and Solving Equations That Are Quadratic in Form12.5 Graphing Quadratic Functions12.6 Quadratic, Polynomial, and Rational Inequalities in One Variable Chapter 12 SummaryChapter 12 Review ExercisesChapter 12 Practice TestCumulative Review Test13. Exponential and Logarithmic Functions 13.1 Composite and Inverse Functions13.2 Exponential Functions13.3 Logarithmic Functions13.4 Properties of Logarithms Mid-Chapter Test: Sections 13.1-13.413.5 Common Logarithms13.6 Exponential and Logarithmic Equations13.7 Natural Exponential and Natural Logarithmic Functions Chapter 13 SummaryChapter 13 Review ExercisesChapter 13 Practice TestCumulative Review Test14. Conic Sections 14.1 The Parabola and the Circle14.2 The Ellipse Mid-Chapter Test: Sections 14.1-14.214.3 The Hyperbola14.4 Nonlinear Systems of Equations and Their Applications Chapter 14 SummaryChapter 14 Review ExercisesChapter 14 Practice TestCumulative Review Test15. Sequences, Series, and the Binomial Theorem 15.1 Sequences and Series15.2 Arithmetic Sequences and Series15.3 Geometric Sequences and Series Mid-Chapter Test: Sections 15.1-15.315.4 The Binomial Theorem Chapter 15 SummaryChapter 15 Review ExercisesChapter 15 Practice TestCumulative Review Test APPENDICES A. Review of Decimals and PercentB. Finding the Greatest Common Factor and Least Common DenominatorC. GeometryD. Review of Exponents, Polynomials, and FactoringAnswers Applications Index Subject Index