Intermediate Algebra

3rd Edition - January 1, 1986
Author: Charles P. McKeague
Language: English

Intermediate Algebra, Third Edition focuses on operations, principles, and approaches involved in intermediate algebra. The manuscript first ponders on basic properties and… Read more

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Intermediate Algebra, Third Edition focuses on operations, principles, and approaches involved in intermediate algebra. The manuscript first ponders on basic properties and definitions, linear equations and inequalities in one variable, and exponents and polynomials. Discussions focus on factoring trinomials, special factoring, solving equations by factoring, linear equations in one variable, equations with absolute value, simple and compound inequalities, and addition and subtraction of real numbers. The text then ponders on rational expressions, rational exponents and roots, and quadratic equations. Topics include additional items involving solutions to equations, quadratic inequalities, completing the square, simplified form for radicals, addition and subtraction of radical expressions, basic properties and reducing to lowest terms, multiplication and division of rational expressions, and division of polynomials. The book takes a look at sequences and series, logarithms, relations and functions, and conic sections, including ellipses and hyperbolas, nonlinear systems, inverse of a function, relations and functions, and series and summation notation. The publication is a dependable reference for students and researchers interested in intermediate algebra.

Preface to the InstructorPreface to the Student1 Basic Properties and Definitions 1.1 Basic Definitions 1.2 The Real Numbers, Opposites, Reciprocals, and Absolute Value 1.3 Simple and Compound Inequalities 1.4 Properties of Real Numbers 1.5 Addition and Subtraction of Real Numbers 1.6 Multiplication and Division of Real Numbers Summary and Review Chapter Test2 Linear Equations and Inequalities in One Variable 2.1 Linear Equations in One Variable 2.2 Linear Inequalities in One Variable 2.3 Equations with Absolute Value 2.4 Inequalities Involving Absolute Value 2.5 Formulas 2.6 Word Problems Summary and Review Chapter Test3 Exponents and Polynomials 3.1 Properties of Exponents I 3.2 Properties of Exponents II 3.3 Polynomials, Sums, and Differences 3.4 Multiplication of Polynomials 3.5 The Greatest Common Factor and Factoring by Grouping 3.6 Factoring Trinomials 3.7 Special Factoring 3.8 Factoring: A General Review 3.9 Solving Equations by Factoring Summary and Review Chapter Test4 Rational Expressions 4.1 Basic Properties and Reducing to Lowest Terms 4.2 Division of Polynomials 4.3 Multiplication and Division of Rational Expressions 4.4 Addition and Subtraction of Rational Expressions 4.5 Complex Fractions 4.6 Equations Involving Rational Expressions 4.7 Word Problems Summary and Review Chapter Test5 Rational Exponents and Roots 5.1 Rational Exponents 5.2 More Expressions Involving Rational Exponents 5.3 Simplified Form for Radicals 5.4 Addition and Subtraction of Radical Expressions 5.5 Multiplication and Division of Radical Expressions 5.6 Equations with Radicals 5.7 Complex Numbers Summary and Review Chapter Test6 Quadratic Equations 6.1 Completing the Square 6.2 The Quadratic Formula 6.3 Additional Items Involving Solutions to Equations 6.4 Equations Quadratic in Form 6.5 Quadratic Inequalities Summary and Review Chapter Test7 Linear Equations and Inequalities 7.1 Graphing in Two Dimensions 7.2 The Slope of a Line 7.3 The Equation of a Straight Line 7.4 Linear Inequalities in Two Variables 7.5 Variation Summary and Review Chapter Test8 Systems of Linear Equations 8.1 Systems of Linear Equations in Two Variables 8.2 Systems of Linear Equations in Three Variables 8.3 Introduction to Determinants 8.4 Cramer's Rule 8.5 Word Problems Summary and Review Chapter Test9 The Conic Sections 9.1 Graphing Parabolas 9.2 The Circle 9.3 Ellipses and Hyperbolas 9.4 Second-Degree Inequalities 9.5 Nonlinear Systems Summary and Review Chapter Test10 Relations and Functions 10.1 Relations and Functions 10.2 Function Notation 10.3 Classification of Functions 10.4 The Inverse of a Function Summary and Review Chapter Test11 Logarithms 11.1 Logarithms are Exponents 11.2 Properties of Logarithms 11.3 Common Logarithms and Natural Logarithms 11.4 Exponential Equations and Change of Base Summary and Review Chapter Test12 Sequences and Series 12.1 Sequences 12.2 Series and Summation Notation 12.3 Arithmetic Progressions 12.4 Geometric Progressions 12.5 The Binomial Expansion Summary and Review Chapter TestAppendix A: Synthetic DivisionAppendix B: Using a CalculatorAppendix C: Matrix Solutions to Systems of EquationsAppendix D: Powers, Roots, and Prime FactorsAppendix E: Common LogarithmsAnswers to Odd-Numbered Problems and Chapter TestsIndex