# Intermediate Algebra

## 2nd Edition

### A Text/Workbook

**Author:**Charles P. McKeague

**eBook ISBN:**9781483214177

**Imprint:**Academic Press

**Published Date:**1st January 1985

**Page Count:**656

## Description

Intermediate Algebra: A Text/Workbook, Second Edition focuses on the principles, operations, and approaches involved in intermediate algebra. The publication first takes a look at basic properties and definitions, first-degree equations and inequalities, and exponents and polynomials. Discussions focus on properties of exponents, polynomials, sums, and differences, multiplication of polynomials, inequalities involving absolute value, word problems, first-degree inequalities, real numbers, opposites, reciprocals, and absolute value, and addition and subtraction of real numbers. The text then examines rational expressions, quadratic equations, and rational expressions and roots. Topics include completing the square, quadratic formula, multiplication and division of radical expressions, equations with radicals, basic properties and reducing to lowest terms, and addition and subtraction of rational expression. The book takes a look at logarithms, relations and functions, conic sections, and systems of linear equations, including introduction to determinants, systems of linear equations in three variables, ellipses and hyperbolas, nonlinear systems, function notation, inverse of a function, and exponential equations and change of base. The publication is a valuable reference for students and researchers interested in intermediate algebra.

## Table of Contents

Preface to the Instructor

Preface to the Student

1 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

1.7 Using a Calculator

Summary and Review

Test

2 First-Degree Equations and Inequalities

2.1 First-Degree Equations

2.2 More First-Degree Equations

2.3 First-Degree Inequalities

2.4 Equations with Absolute Value

2.5 Inequalities Involving Absolute Value

2.6 Formulas

2.7 Word Problems

2.8 Additional Word Problems

Summary and Review

Test

3 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 Special Products

3.6 Division of Polynomials

3.7 The Greatest Common Factor and Factoring by Grouping

3.8 Factoring Trinomials

3.9 Special Factoring

3.10 Factoring: A General Review

Summary and Review

Test

4 Rational Expressions

4.1 Basic Properties and Reducing to Lowest Terms

4.2 Multiplication and Division of Rational Expressions

4.3 Addition and Subtraction of Rational Expressions

4.4 Complex Fractions

4.5 Equations Involving Rational Expressions

4.6 Word Problems

Summary and Review

Test

5 Rational Exponents and Roots

5.1 Rational Exponents

5.2 Simplified Form for Radicals

5.3 Addition and Subtraction of Radical Expressions

5.4 Multiplication and Division of Radical Expressions

5.5 Equations with Radicals

5.6 Addition and Subtraction of Complex Numbers

5.7 Multiplication and Division of Complex Numbers

Summary and Review

Test

6 Quadratic Equations

6.1 Solving Quadratic Equations by Factoring

6.2 Completing the Square

6.3 The Quadratic Formula

6.4 The Discriminant

6.5 Other Equations Reducible to Quadratic Equations

6.6 Word Problems

6.7 Quadratic Inequalities

Summary and Review

Test

7 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

Test 379

8 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

Test

9 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

Test

10 Relations and Functions

10.1 Relations and Functions

10.2 Function Notation

10.3 Algebra with Functions

10.4 Classification of Functions

10.5 The Inverse of a Function

Summary and Review

Test

11 Logarithms

11.1 Logarithms Are Exponents

11.2 Properties of Logarithms

11.3 Common Logarithms and Computations

11.4 Exponential Equations and Change of Base

11.5 Word Problems

Summary and Review

Test

Final Exam

Appendix A: Synthetic Division

Appendix B: Another Method of Factoring Trinomials

Appendix C: Venn Diagrams

Appendix D: Table of Powers, Roots, and Prime Factors

Appendix E: Table of Common Logarithms

Answers to Final Exam

Solutions to Selected Practice Problems

Answers to Odd-Numbered Problems and Chapter Tests

Index

## Details

- No. of pages:
- 656

- Language:
- English

- Copyright:
- © Academic Press 1985

- Published:
- 1st January 1985

- Imprint:
- Academic Press

- eBook ISBN:
- 9781483214177