Elementary Algebra - 2nd Edition - ISBN: 9780124847552, 9781483263816

Elementary Algebra

2nd Edition

Authors: Charles P. McKeague
eBook ISBN: 9781483263816
Imprint: Academic Press
Published Date: 1st January 1981
Page Count: 402
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Description

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.

Table of Contents


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

Test

Two 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

Test

Three 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

Test

Four 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

Test

Five 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

Test

Six 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

Test

Seven 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

Test

Eight 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

Test

Nine 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

Test

Answers to Odd-Numbered Exercises and Chapter Tests

Index

Details

No. of pages:
402
Language:
English
Copyright:
© Academic Press 1981
Published:
Imprint:
Academic Press
eBook ISBN:
9781483263816

About the Author

Charles P. McKeague