Elementary Algebra

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

Elementary Algebra, Third Edition focuses on the basic principles, operations, and approaches involved in elementary algebra. The book first ponders on the basics, linear… Read more

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Elementary Algebra, Third Edition focuses on the basic principles, operations, and approaches involved in elementary algebra. The book first ponders on the basics, linear equations and inequalities, and graphing and linear systems. Discussions focus on the elimination method, solving linear systems by graphing, word problems, addition property of equality, solving linear equations, linear inequalities, addition and subtraction of real numbers, and properties of real numbers. The text then takes a look at exponents and polynomials, factoring, and rational expressions. Topics include reducing rational expressions to lowest terms, addition and subtraction of rational expressions, factoring integers, quadratic equations, greatest common factor and factoring by grouping, multiplication with exponents, and addition and subtraction of polynomials. The manuscript examines more quadratic equations and roots and radicals, including complex solutions to quadratic equations, completing the square, graphing parabolas, properties of radicals, and multiplication and division of radicals. The publication is a dependable reference for students and researchers interested in elementary algebra.

Preface to the InstructorPreface to the Student1 The Basics 1.1 Notation and Symbols 1.2 Real Numbers 1.3 Addition of Real Numbers 1.4 Subtraction of Real Numbers 1.5 Properties of Real Numbers 1.6 Multiplication of Real Numbers 1.7 Division of Real Numbers Summary and Review Chapter Test2 Linear Equations and Inequalities 2.1 Simplifying Expressions 2.2 Addition Property of Equality 2.3 Multiplication Property of Equality 2.4 Solving Linear Equations 2.5 Formulas 2.6 Word Problems 2.7 Linear Inequalities Summary and Review Chapter Test3 Graphing and Linear Systems 3.1 Solutions to Linear Equations in Two Variables 3.2 Graphing Ordered Pairs and Straight Lines 3.3 More on Graphing: Intercepts and Slopes 3.4 The Slope-Intercept Form of the Equation of a Line 3.5 Solving Linear Systems by Graphing 3.6 The Elimination Method 3.7 The Substitution Method 3.8 Word Problems Summary and Review Chapter Test4 Exponents and Polynomials 4.1 Multiplication with Exponents 4.2 Division with Exponents 4.3 Operations with Monomials 4.4 Addition and Subtraction of Polynomials 4.5 Multiplication with Polynomials 4.6 Binomial Squares and Other Special Products 4.7 Dividing a Polynomial by a Monomial 4.8 Dividing a Polynomial by a Polynomial Summary and Review Chapter Test5 Factoring 5.1 Factoring Integers 5.2 The Greatest Common Factor and Factoring by Grouping 5.3 Factoring Trinomials 5.4 More Trinomials to Factor 5.5 The Difference of Two Squares 5.6 Factoring: A General Review 5.7 Quadratic Equations 5.8 Word Problems Summary and Review Chapter Test6 Rational Expressions 6.1 Reducing Rational Expressions to Lowest Terms 6.2 Multiplication and Division of Rational Expressions 6.3 Addition and Subtraction of Rational Expressions 6.4 Equations Involving Rational Expressions 6.5 Word Problems 6.6 Complex Fractions 6.7 Ratio and Proportion Summary and Review Chapter Test7 Roots and Radicals 7.1 Definitions and Common Roots 7.2 Properties of Radicals 7.3 Simplified Form for Radicals 7.4 Addition and Subtraction of Radical Expressions 7.5 Multiplication and Division of Radicals 7.6 Equations Involving Radicals Summary and Review Chapter Test8 More Quadratic Equations 8.1 More Quadratic Equations 8.2 Completing the Square 8.3 The Quadratic Formula 8.4 Complex Numbers 8.5 Complex Solutions to Quadratic Equations 8.6 Graphing Parabolas Summary and Review Chapter Test9 Additional Topics 9.1 Compound Inequalities 9.2 Linear Inequalities in Two Variables 9.3 The Distance Formula and the Circle 9.4 Fractional Exponents 9.5 Factoring the Sum and Difference of Two Cubes 9.6 Variation 9.7 Functions and Function Notation Summary and Review Chapter TestAnswers to Odd-Numbered Problems and Chapter TestsIndex