Algebra Review

2nd Edition - January 1, 1978
Authors: Charles Denlinger, Elaine Jacobson
Language: English
eBook ISBN:
9 7 8 - 1 - 4 8 3 2 - 6 2 3 3 - 8

Algebra Review serves as a background supplement to Howard Anton and Bernard Kolman’s books on finite mathematics—Applied Finite Mathematics and Applied Finite Mathematics with… Read more

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Algebra Review serves as a background supplement to Howard Anton and Bernard Kolman’s books on finite mathematics—Applied Finite Mathematics and Applied Finite Mathematics with Calculus. This book discusses the number systems of algebra, algebraic notation, exponents and radicals, and fractional exponents. The polynomials and factoring, binomial theorem, and rational expressions are also elaborated. This text covers equations such as linear equations, quadratic equations, and higher degree equations. The Cartesian coordinate system, graphing equations in two variables, and some special functions are likewise deliberated. This publication is a good source for mathematicians and students interested in finite mathematics and how to perform algebraic manipulations.

Preface

Unit 1. The Number Systems of Algebra

1.1 Introduction

Exercise Set 1.1

1.2 The Number Line

Exercise Set 1.2

1.3 Decimal Representation

Exercise Set 1.3

1.4 Algebraic Notation

Exercise Set 1.4

1.5 Basic Rules of Algebra

Exercise Set 1.5

Unit 2. Exponents and Radicals

2.1 Integral Exponents

Exercise Set 2.1

2.2 Roots and Radicals

Exercise Set 2.2

2.3 Fractional Exponents

Exercise Set 2.3

Unit 3. Polynomials and Factoring

3.1 Monomials and Polynomials

Exercise Set 3.1

3.2 Working with Polynomials

Exercise Set 3.2

3.3 Factoring Polynomials

Exercise Set 3.3

3.4 The Binomial Theorem

Exercise Set 3.4

Unit 4. Rational Expressions

4.1 Introduction

Exercise Set 4.1

4.2 Working With Rational Expressions

Exercise Set 4.2

Unit 5. Equations

5.1 Introduction

Exercise Set 5.1

5.2 Linear Equations

Exercise Set 5.2

5.3 Quadratic Equations

Exercise Set 5.3

5.4 Higher Degree Equations

Exercise Set 5.4

5.5 Word Problems

Exercise Set 5.5

Unit 6. Graphs and Functions

6.1 The Cartesian Coordinate System

Exercise Set 6.1

6.2 Graphing Equations in Two Variables

Exercise Set 6.2

6.3 Functions

Exercise Set 6.3

6.4 Some Special Functions

Exercise Set 6.4

Solutions

Exercise Set 1.1

Exercise Set 1.2

Exercise Set 1.3

Exercise Set 1.4

Exercise Set 1.5

Exercise Set 2.1

Exercise Set 2.2

Exercise Set 2.3

Exercise Set 3.1

Exercise Set 3.2

Exercise Set 3.3

Exercise Set 3.4

Exercise Set 4.1

Exercise Set 4.2

Exercise Set 5.1

Exercise Set 5.2

Exercise Set 5.3

Exercise Set 5.4

Exercise Set 5.5

Exercise Set 6.1

Exercise Set 6.2

Exercise Set 6.3

Exercise Set 6.4