Elementary Algebra

2nd Edition - January 1, 1981
Author: Charles P. McKeague
Language: English

Elementary Algebra 2e, Second Edition focuses on the basic principles, operations, and approaches involved in elementary algebra. The book first tackles the basics, linear… Read more

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Elementary Algebra 2e, Second Edition focuses on the basic principles, operations, and approaches involved in elementary algebra. The book first tackles the basics, linear equations and inequalities, and graphing and linear systems. Discussions focus on the substitution method, solving linear systems by graphing, solutions to linear equations in two variables, multiplication property of equality, word problems, addition property of equality, and subtraction, addition, multiplication, and division of real numbers. The manuscript then examines exponents and polynomials, factoring, and rational expressions. Topics include dividing a polynomial by a polynomial, addition and subtraction of rational expressions, complex fractions, greatest common factor, factoring trinomials, quadratic equations, and division with exponents. The text takes a look at roots and radicals and more quadratic equations, including complex numbers, complex solutions to quadratic equations, graphing parabolas, fractional exponents, and ratio and proportion. The publication is a dependable reference for students and researchers interested in elementary algebra.

One The Basics 1.1 Notations 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 1.8 Subsets of Real Numbers Summary and Review TestTwo 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 Word Problems 2.6 Linear Inequalities 2.7 Compound Inequalities Summary and Review TestThree Graphing and Linear Systems 3.1 Solutions to Linear Equations in Two Variables 3.2 Graphing Ordered Pairs and Straight Lines 3.3 Solving Linear Systems by Graphing 3.4 The Elimination Method 3.5 The Substitution Method 3.6 Word Problems 3.7 Linear Inequalities in Two Variables Summary and Review TestFour 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 Summary and Review TestFive Factoring 5.1 Factoring Integers 5.2 The Greatest Common Factor 5.3 Factoring Trinomials 5.4 More Trinomials to Factor 5.5 The Difference of Two Squares 5.6 Quadratic Equations 5.7 Word Problems Summary and Review TestSix Rational Expressions 6.1 Reducing Rational Expressions to Lowest Terms 6.2 Dividing a Polynomial by a Polynomial 6.3 Multiplication and Division of Rational Expressions 6.4 Addition and Subtraction of Rational Expressions 6.5 Equations Involving Rational Expressions 6.6 Word Problems 6.7 Complex Fractions Summary and Review TestSeven 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 TestEight 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 TestNine Additional Topics 9.1 Slope and y-Intercept 9.2 The Point-Slope and Slope-Intercept Forms of Straight Lines 9.3 Functions and Function Notation 9.4 Fractional Exponents 9.5 Scientific Notation 9.6 Ratio and Proportion 9.7 Variation 9.8 Formulas Summary and Review TestAnswers to Odd-Numbered Exercises and Chapter TestsIndex