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More About This Textbook
Overview
Intermediate Algebra offers a refreshing approach to the traditional content of the course. Presented in worktext format, Intermediate Algebra offers a review of problem solving, solving equations in two and three variables, a chapter devoted to functions, polynomials, radicals and complex numbers, factoring and quadratic functions, rational expressions, and inequalities. Other topics include exponential and logarithmic functions and conic sections. The text reflects the compassion and insight of its experienced author team with features developed to address the specific needs of developmental level students.
Product Details
Meet the Author
Julie Miller has been on the faculty in the School of Mathematics at Daytona State College for 20 years, where she has taught developmental and upperlevel courses. Prior to her work at DSC, she worked as a Software Engineer for General Electric in the area of Flight and Radar simulation. Julie earned a Bachelor of Science in Applied Mathematics from Union College in Schenectady, New York, and a Master of Science in Mathematics from the University of Florida. In addition to this textbook, she has authored several course supplements for College Algebra, Trigonometry, and Precalculus, as well as several short works of fiction and nonfiction for young readers.
Molly O'Neill is also from Daytona State College, where she has taught for 22 years in the School of Mathematics. She has taught a variety of courses from Developmental Mathamatics to Calculus. Before she came to Florida, Molly taught as an adjunct instructor at the University of MichiganDearborn, Eastern Michigan University, Wayne State University, and Oakland Community College. Molly earned a Bachelor of Science in Mathematics and a Master of Arts in Teaching from Western Michigan University in Kalamazoo, Michigan. Besides this textbook, she has authored several course supplements for College Algebra, Trigonometry, and Precalculus and has reviewed texts for Developmental Mathematics.
Table of Contents
Chapter R Review of Basic Algebraic Concepts
Section R.1 Study Tips Group Activity: Becoming a Successful Student Section R.2 Sets of Numbers and Interval Notation Section R.3 Operations on Real Numbers Section R.4 Simplifying Algebraic Expressions Chapter R Summary Chapter R Review Exercises Chapter R Test
Chapter 1 Linear Equations and Inequalities in One Variable
Section 1.1 Linear Equations in One Variable Problem Recognition Exercises: Equations versus Expressions Section 1.2 Applications of Linear Equations in One Variable Section 1.3 Applications to Geometry and Literal Equations Section 1.4 Linear Inequalities in One Variable Section 1.5 Compound Inequalities Section 1.6 Absolute Value Equations Section 1.7 Absolute Value Inequalities Problem Recognition Exercises: Identifying Equations and Inequalities Group Activity: Understanding the Symbolism of Mathematics Chapter 1 Summary Chapter 1 Review Exercises Chapter 1 Test
Chapter 2 Linear Equations in Two Variables and Functions
Section 2.1 Linear Equations in Two Variables Section 2.2 Slope of a Line and Rate of Change Section 2.3 Equations of a Line Problem Recognition Exercises: Characteristics of Linear Equations Section 2.4 Applications of Linear Equations and Modeling Section 2.5 Introduction to Relations Section 2.6 Introduction to Functions Section 2.7 Graphs of Basic Functions Problem Recognition Exercises: Characteristics of Relations Group Activity: Deciphering a Coded Message Chapter 2 Summary Chapter 2 Review Exercises Chapter 2 Test Chapters 12 Cumulative Review Exercises
Chapter 3 Systems of Linear Equations and Inequalities
Section 3.1 Solving Systems of Linear Equations by the Graphing Method Section 3.2 Solving Systems of Linear Equations by the Substitution Method Section 3.3 Solving Systems of Linear Equations by the Addition Method Problem Recognition Exercises: Solving Systems of Linear Equations Section 3.4 Applications of Systems of Linear Equations in Two Variables Section 3.5 Linear Inequalities and Systems of Linear Inequalities in Two Variables Section 3.6 Systems of Linear Equations in Three Variables and Applications Section 3.7 Solving Systems of Linear Equations by Using Matrices Group Activity: Creating a Quadratic Model of the Form y = at2 + bt + c Chapter 3 Summary Chapter 3 Review Exercises Chapter 3 Test Chapters 13 Cumulative Review Exercises
Chapter 4 Polynomials
Section 4.1 Properties of Integer Exponents and Scientific Notation Section 4.2 Addition and Subtraction of Polynomials and Polynomial Functions Section 4.3 Multiplication of Polynomials Section 4.4 Division of Polynomials Problem Recognition Exercises: Operations on Polynomials Section 4.5 Greatest Common Factor and Factoring by Grouping Section 4.6 Factoring Trinomials Section 4.7 Factoring Binomials Problem Recognition Exercises: Factoring Summary Section 4.8 Solving Equations by Using the Zero Product Rule Group Activity: Investigating Pascal’s Triangle Chapter 4 Summary Chapter 4 Review Exercises Chapter 4 Test Chapters 14 Cumulative Review Exercises
Chapter 5 Rational Expressions and Rational Equations
Section 5.1 Rational Expressions and Rational Functions Section 5.2 Multiplication and Division of Rational Expressions Section 5.3 Addition and Subtraction of Rational Expressions Section 5.4 Complex Fractions Problem Recognition Exercises: Operations on Rational Expressions Section 5.5 Solving Rational Equationsv Problem Recognition Exercises: Rational Equations vs. Expressions Section 5.6 Applications of Rational Equations and Proportions Section 5.7 Variation Group Activity: Computing the Future Value of an Investment Chapter 5 Summary Chapter 5 Review Exercises Chapter 5 Test Chapters 15 Cumulative Review Exercises
Chapter 6 Radicals and Complex Numbers
Section 6.1 Definition of an nth Root Section 6.2 Rational Exponents Section 6.3 Simplifying Radical Expressions Section 6.4 Addition and Subtraction of Radicals Section 6.5 Multiplication of Radicals Problem Recognition Exercises: Simplifying Radical Expressions Section 6.6 Division of Radicals and Rationalization Section 6.7 Solving Radical Equations Section 6.8 Complex Numbers Group Activity: Margin of Error of Survey Results Chapter 6 Summary Chapter 6 Review Exercises Chapter 6 Test Chapters 16 Cumulative Review Exercises
Chapter 7 Quadratic Equations and Functions
Section 7.1 Square Root Property and Completing the Square Section 7.2 Quadratic Formula Section 7.3 Equations in Quadratic Form Problem Recognition Exercises: Quadratic and Quadratic Type Equations Section 7.4 Graphs of Quadratic Functions Section 7.5 Vertex of a Parabola: Applications and Modeling Section 7.6 Nonlinear Inequalities Problem Recognition Exercises: Recognizing Equations and Inequalities Group Activity: Creating a Quadratic Model of the Form y = a(x – h)2 + k Chapter 7 Summary Chapter 7 Review Exercises Chapter 7 Test Chapters 17 Cumulative Review Exercises
Chapter 8 Exponential and Logarithmic Functions and Applications
Section 8.1 Algebra and Composition of Functions Section 8.2 Inverse Functions Section 8.3 Exponential Functions Section 8.4 Logarithmic Functions Problem Recognition Exercises: Identifying Graphs of Functions Section 8.5 Properties of Logarithms Section 8.6 The Irrational Number and Change of Base Problem Recognition Exercises: Logarithmic and Exponential Forms Section 8.7 Logarithmic and Exponential Equations and Applications Group Activity: Creating a Population Model Chapter 8 Summary Chapter 8 Review Exercises Chapter 8 Test Chapters 18 Cumulative Review Exercises
Chapter 9 Conic Sections
Section 9.1 Distance Formula, Midpoint Formula, and Circles Section 9.2 More on the Parabola Section 9.3 The Ellipse and Hyperbola Problem Recognition Exercises: Formulas and Conic Sections Section 9.4 Nonlinear Systems of Equations in Two Variables Section 9.5 Nonlinear Inequalities and Systems of Inequalities Group Activity: Investigating the Graphs of Conic Sections on a Calculator Chapter 9 Summary Chapter 9 Review Exercises Chapter 9 Test Chapters 19 Cumulative Review Exercises
Chapter 10 Binomial Expansions, Sequences, and Series
Section 10.1 Binomial Expansions Section 10.2 Sequences and Series Section 10.3 Arithmetic Sequences and Series Section 10.4 Geometric Sequences and Series Problem Recognition Exercises: Identifying Arithmetic and Geometric Sequences Group Activity: Investigating Mean and Standard Deviation Chapter 10 Summary Chapter 10 Review Exercises Chapter 10 Test Chapters 110 Cumulative Review Exercises
Additional Topics Appendix
Section A.1 Determinants and Cramer’s Rule