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Full Description
Intended for a 2-semester sequence of Introductory and Intermediate Algebra where students get a solid foundation in algebra with early and frequent exposure to functions and an empasis on modeling with full integration of the graphing calculator. The goal is to prepare them for success in College Algebra or their next math course.
Contents
Chapter P Prealgebra ReviewP.1 Rational Numbers and the Number LineP.2 Operations with Rational NumbersP.3 Exponents, Roots, and Scientific NotationP.4 Properties of Real Numbers and Order of OperationsP.5 Variables and Algebraic Expressions P.6 Simplifying Algebraic Expressions P.7 Equations and Inequalities P.8 Formulas Chapter Summary Section-by-Section ReviewMixed Review Chapter TestChapter Project Chapter 1 Relations, Functions, and Graphs1.1 Tables of Values, Ordered Pairs, and Relations1.2 Rectangular Coordinate System and Graphing1.3 Functions and Function Notation1.4 Analyzing GraphsChapter Summary Section-by-Section ReviewMixed Review Chapter TestChapter Project Chapters P-1 Cumulative Review Chapter 2 Linear Equations in One Variable2.1 Solving Equations Numerically and Graphically2.2 Solving Equations by Using Addition and Multiplication2.3 Solving Equations by Using a Combination of Properties2.4 Solving Equations or Formulas for a Specified Variable2.5 More Real-World Models2.6 Solving Linear Absolute-Value EquationsChapter Summary Section-by-Section ReviewMixed Review Chapter TestChapter Project Chapter 3 Linear Equations and Functions3.1 Graphing by Using the Intercept Method3.2 Slope3.3 Graphing by Using the Slope-Intercept Method3.4 Coinciding, Parallel, and Perpendicular Lines3.5 Writing Linear Equations from Given DataChapter Summary Section-by-Section ReviewChapter Test Chapter Project Chapters P-3 Cumulative Review Chapter 4 Systems of Linear Equations4.1 Solving Systems of Two Equations Graphically4.2 Solving Systems of Two Equations by the Substitution Method4.3 Solving Systems of Two Equations by the Addition Method4.4 More Real-World Models4.5 Solving Systems of Linear Equations in Three VariablesChapter Summary Section-by-Section ReviewMixed Review Chapter TestChapter Project Chapter 5 Linear Inequalities5.1 Linear Inequalities in One Variable5.2 Linear Inequalities in Two Variables5.3 Systems of Linear Inequalities in Two VariablesChapter Summary Section-by-Section ReviewMixed Review Chapter TestChapter Project Chapters P-5 Cumulative Review Chapter 6 Polynomial Functions6.1 Introduction to Polynomials6.2 Polynomial Functions and Their Graphs6.3 Quadratic Functions and Their Graphs6.4 Writing Quadratic Functions Chapter Summary Section-by-Section ReviewMixed Review Chapter TestChapter Project Chapter 7 Exponents and Polynomials7.1 Operations Involving Nonnegative Exponents7.2 Operations Involving Negative Exponents7.3 Polynomial Addition and Subtraction7.4 Polynomial Multiplication7.5 Polynomial DivisionChapter Summary Section-by-Section ReviewMixed Review Chapter TestChapter Project Chapter 8 Factoring8.1 Greatest Common Factors8.2 Factoring Perfect-Square Trinomials, Differences of Squares, and Sums and Differences of Cubes8.3 Factoring Trinomials by Using the Trial-and-Error Method8.4 Factoring Trinomials by Using the ac Method 8.5 General Strategies for Factoring Chapter Summary Section-by-Section ReviewMixed Review Chapter TestChapter Project Chapter 9 Quadratic and Other Polynomial Equations and Inequalities9.1 Solving Equations Numerically and Graphically9.2 Solving Equations Algebraically by Factoring9.3 Properties of Square Roots9.4 Solving Quadratic Equations by Completing the Square9.5 Solving Quadratic Equations by Using the Quadratic Formula9.6 More Real-World Models9.7 More Quadratic Functions and Their Graphs9.8 Solving Quadratic InequalitiesChapter Summary Section-by-Section ReviewMixed Review Chapter TestChapter Project Chapters P-9 Cumulative Review Chapter 10 Rational Expressions, Functions, and Equations10.1 Rational Expressions and Functions10.2 Multiplication and Division of Rational Expressions10.3 Addition and Subtraction of Rational Expressions10.4 Solving Rational Equations in One Variable10.5 More Real-World ModelsChapter Summary Section-by-Section ReviewMixed Review Chapter TestChapter Project Chapter 11 Radical Expressions, Functions, and Equations11.1 Radical Expressions, Functions, and Graphs11.2 Rational Exponents11.3 Properties of Rational Exponents11.4 Properties of Radicals11.5 Operations on Radicals11.6 Solving Radical Equations in One Variable11.7 Equations with Imaginary-Number SolutionsChapter Summary Section-by-Section ReviewMixed Review Chapter TestChapter Project Chapters P-11 Cumulative Review Chapter 12 Exponential and Logarithmic Functions and Equations12.1 Inverse Functions12.2 Exponential Functions12.3 Logarithmic Functions12.4 Properties of Logarithms12.5 Solving Exponential and Logarithmic EquationsChapter Summary Section-by-Section ReviewMixed Review Chapter TestChapter Project Chapters P-12 Cumulative Review Photo Credits Answers to Checkup Exercises Answers to Selected Exercises (SE only)Instructor Answers to Exercises (IE only) Index
