# Beginning Algebra

## 2nd Edition

### A Text/Workbook

**Authors:**Charles P. McKeague

**eBook ISBN:**9781483271248

**Imprint:**Academic Press

**Published Date:**1st January 1985

**Page Count:**520

## Description

Beginning Algebra: A Text/Workbook, Second Edition focuses on the principles, operations, and approaches involved in algebra.

The publication first elaborates on the basics, linear equations and inequalities, and graphing and linear systems. Discussions focus on solving linear systems by graphing, elimination method, graphing ordered pairs and straight lines, linear and compound inequalities, addition and subtraction of real numbers, and properties of real numbers. The text then examines exponents and polynomials, factoring, and rational expressions. Topics include multiplication and division of rational expressions, equations involving rational expressions, dividing a polynomial by a polynomial, factoring trinomials, greatest common factor, operations with monomials, addition and subtraction of polynomials, and binomial squares and other special products. The book takes a look at more quadratic equations and roots and radicals, including multiplication and division of radicals, equations involving radicals, quadratic formula, complex solutions to quadratic equations, and graphing parabolas.

The publication is a dependable reference for students and researchers interested in algebra.

## Table of Contents

Preface to the Instructor

Preface to the Student

1 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

1.8 Subsets of Real Numbers

Summary and Review

Test

2 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

3 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

4 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

5 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 Factoring: A General Review

5.7 Quadratic Equations

5.8 Word Problems

Summary and Review

Test

6 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

7 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

8 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

9 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

Final Exam

Appendix A: Review of Fractions

Solutions to Selected Practice Problems

Answers to Odd-Numbered Exercises, Chapter Tests, and Final Exam

Index

Formulas from Geometry

Table of Squares and Square Roots

## Details

- No. of pages:
- 520

- Language:
- English

- Copyright:
- © Academic Press 1985

- Published:
- 1st January 1985

- Imprint:
- Academic Press

- eBook ISBN:
- 9781483271248