# Elementary Algebra Early Graphing for College Students, 3rd Edition

Published Date: Jan 31, 2007

Note:  Each chapter concludes with Chapter Summary, Chapter Review Exercises, and Chapter Practice Test and after Chapter 1, Cumulative Review Test.

Preface

To the Student

CHAPTER 1   Real Numbers

1.1  Study Skills for Success in Mathematics

1.2  Problem Solving

1.3  Fractions

1.4  The Real Number System

1.5  Inequalities

Mid-Chapter Test: Sections 1.1—1.5

1.7  Subtraction of Real Numbers

1.8  Multiplication and Division of Real Numbers

1.9  Exponents, Parentheses, and the Order of Operations

1.10  Properties of the Real Number System

CHAPTER 2   Solving Linear Equations and Inequalities

2.1  Combining Like Terms

2.2  The Addition Property of Equality

2.3  The Multiplication Property of Equality

2.4  Solving Linear Equations with a Variable on Only One Side of the Equation

Mid-Chapter Test: Sections 2.1—2.4

2.5  Solving Linear Equations with the Variable on Both Sides of the Equation

2.6  Formulas

2.7  Ratios and Proportions

2.8  Inequalities in One Variable

CHAPTER 3   Applications of Algebra

3.1  Changing Application Problems into Equations

3.2  Solving Application Problems

Mid-Chapter Test: Sections 3.1—3.2

3.3  Geometric Problems

3.4  Motion, Money, and Mixture Problems

CHAPTER 4   Graphing Linear Equations

4.1  The Cartesian Coordinate System and Linear Equations in Two Variables

4.2  Graphing Linear Equations

4.3  Slope of a Line

Mid-Chapter Test: Sections 4.1—4.3

4.4  Slope-Intercept and Point-Slope Forms of a Linear Equation

4.5  Graphing Linear Inequalities

4.6  Functions

CHAPTER 5   Systems of Linear Equations

5.1  Solving Systems of Equations Graphically

5.2  Solving Systems of Equations by Substitution

5.3  Solving Systems of Equations by the Addition Method

Mid-Chapter Test: Sections 5.1—5.3

5.4  Systems of Equations: Applications and Problem Solving

5.5  Solving Systems of Linear Inequalities

CHAPTER 6   Exponents and Polynomials

6.1  Exponents

6.2  Negative Exponents

6.3  Scientific Notation

Mid-Chapter Test: Sections 6.1—6.3

6.4  Addition and Subtraction of Polynomials

6.5  Multiplication of Polynomials

6.6  Division of Polynomials

CHAPTER 7   Factoring

7.1  Factoring a Monomial from a Polynomial

7.2  Factoring by Grouping

7.3  Factoring Trinomials of the form ax² + bx + c, a = 1

7.4  Factoring Trinomials of the form ax² + bx + c, a ≠ 1

Mid-Chapter Test: Sections 7.1—7.4

7.5  Special Factoring Formulas and a General Review of Factoring

7.6  Solving Quadratic Equations Using Factoring

CHAPTER 8   Rational Expressions and Equations

8.1  Simplifying Rational Expressions

8.2  Multiplication and Division of Rational Expressions

8.3  Addition and Subtraction of Rational Expressions with a Common Denominator and   Finding the Least Common Denominator

8.4  Addition and Subtraction of Rational Expressions

Mid-Chapter Test: Sections 8.1—8.4

8.5  Complex Fractions

8.6  Solving Rational Equations

8.7  Rational Equations: Applications and Problem Solving

8.8  Variation

9.1   Evaluating Square Roots

9.2   Simplifying Square Roots

9.3   Adding, Subtracting, and Multiplying Square Roots

9.4   Dividing Square Roots

Mid-Chapter Test: Sections 9.1—9.4

9.6   Radicals: Applications and Problem Solving

9.7   Higher Roots and Rational Exponents

10.1  The Square Root Property

10.2  Solving Quadratic Equations by Completing the Square

Mid-Chapter Test: Sections 10.1—10.3

10.5  Complex Numbers

APPENDICES

A   Review of Decimals and Percents

B   Finding the Greatest Common Factor and Least Common Denominator

C   Geometry

Graphing Answer Section <found only in the Annotated Instructor's Edition>

Applications Index

Index

Photo Credits

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