Student Workbook for Intermediate Algebra for College Students

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 twenty-seven 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 three sons - Alex, Nick, and Max.

• Basic Concepts 1.1 Study Skills for Success in Mathematics, and Using a Calculator1.2 Sets and Other Basic Concepts1.3 Properties of and Operations with Real Numbers1.4 Order of Operations Mid-Chapter Test: Sections 1.1—1.41.5 Exponents1.6 Scientific NotationEquations and Inequalities 2.1 Solving Linear Equations2.2 Problem Solving and Using Formulas2.3 Applications of Algebra Mid-Chapter Test: Sections 2.1—2.32.4 Additional Application Problems2.5 Solving Linear Inequalities2.6 Solving Equations and Inequalities Containing Absolute ValuesGraphs and Functions 3.1 Graphs3.2 Functions3.3 Linear Functions: Graphs and Applications3.4 The Slope-Intercept Form of a Linear Equation Mid-Chapter Test: Sections 3.1—3.43.5 The Point-Slope Form of a Linear Equation3.6 The Algebra of Functions3.7 Graphing Linear InequalitiesSystems of Equations and Inequalities 4.1 Solving Systems of Linear Equations in Two Variables4.2 Solving Systems of Linear Equations in Three Variables4.3 Systems of Linear Equations: Applications and Problem Solving Mid-Chapter Test: Sections 4.1—4.34.4 Solving Systems of Equations Using Matrices4.5 Solving Systems of Equations Using Determinants and Cramer’s Rule4.6 Solving Systems of Linear InequalitiesPolynomials and Polynomial Functions 5.1 Addition and Subtraction of Polynomials5.2 Multiplication of Polynomials5.3 Division of Polynomials and Synthetic Division5.4 Factoring a Monomial from a Polynomial and Factoring by Grouping Mid-Chapter Test: Sections 5.1—5.45.5 Factoring Trinomials5.6 Special Factoring Formulas5.7 A General Review of Factoring5.8 Polynomial EquationsRational Expressions and Equations 6.1 The Domains of Rational Functions and Multiplication and Division of Rational Expressions6.2 Addition and Subtraction of Rational Expressions6.3 Complex Fractions6.4 Solving Rational Equations Mid-Chapter Test: Sections 6.1—6.46.5 Rational Equations: Applications and Problem Solving6.6 VariationRoots, Radicals, and Complex Numbers 7.1 Roots and Radicals7.2 Rational Exponents7.3 Simplifying Radicals7.4 Adding, Subtracting, and Multiplying Radicals Mid-Chapter Test: Sections 7.1—7.47.5 Dividing Radicals7.6 Solving Radical Equations7.7 Complex NumbersQuadratic Functions 8.1 Solving Quadratic Equations by Completing the Square8.2 Solving Quadratic Equations by the Quadratic Formula8.3 Quadratic Equations: Applications and Problem Solving Mid-Chapter Test: Sections 8.1—8.38.4 Writing Equations in Quadratic Form8.5 Graphing Quadratic Functions8.6 Quadratic and Other Inequalities in One VariableExponential and Logarithmic Functions 9.1 Composite and Inverse Functions9.2 Exponential Functions9.3 Logarithmic Functions9.4 Properties of Logarithms Mid-Chapter Test: Sections 9.1—9.49.5 Common Logarithms9.6 Exponential and Logarithmic Equations9.7 Natural Exponential and Natural Logarithmic FunctionsConic Sections 10.1 The Parabola and the Circle10.2 The Ellipse Mid-Chapter Test: Sections 10.1—10.210.3 The Hyperbola10.4 Nonlinear Systems of Equations and Their ApplicationsSequences, Series, and the Binomial Theorem 11.1 Sequences and Series11.2 Arithmetic Sequences and Series11.3 Geometric Sequences and Series Mid-Chapter Test: Sections 11.1—11.311.4 The Binomial TheoremAppendix: Geometric Formulas