## Algebra: A Combined Approach, 1/e

Elayn Martin-Gay, University of New Orleans

Published June, 1999 by Prentice Hall Engineering/Science/Mathematics

Paper
ISBN 0-13-085048-9

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Beginning & Intermediate Algebra (Combined Books)-Mathematics

This engaging combined introductory and intermediate algebra worktext has a student-friendly approach, giving students ample opportunity to practice skills and to see how those skills relate to their lives and to the real world. The goals of this worktext are to: 1) ensure that students have the most up-to-date, relevant text preparation for their next math course; 2) enhance students' perception of math by exposing them to real-life situations through graphs and applications; and 3) ensure that students have an organized, integrated learning system at their fingertips. The package features the text and text-specific supplements, including Martin-Gay's acclaimed tutorial videotapes.

Please see page 525 of the 1999 Math & Science Sales Manual.

(NOTE: Each chapter begins with a Chapter Pretest and ends with a Chapter Activity, Chapter Review, Chapter Test and Cumulative Review.)

Preface.
R. Prealgebra Review.

Factors and the Least Common Multiple. Fractions. Decimals and Percents.

1. Real Numbers and Introduction to Algebra.

Symbols and Sets of Numbers. Introduction to Variable Expressions and Equations. Adding Real Numbers. Subtracting Real Numbers. Multiplying Real Numbers. Dividing Real Numbers. Integrated Review—Operations on Real Numbers. Properties of Real Numbers. Reading Graphs.

2. Equations, Inequalities, and Problem Solving.

Simplifying Expressions. The Addition Property of Equality. The Multiplication Property of Equality. Further Solving Linear Equations. Integrated Review—Solving Linear Equations. An Introduction to Problem Solving. Formulas and Problem Solving. Percent, Ratio, and Proportion. Linear Inequalities and Problem Solving.

3. Graphing Equations and Inequalities.

The Rectangular Coordinate System. Graphing Linear Equations. Intercepts. Slope. Integrated Review—Summary on Linear Equations. Graphing Linear Inequalities in Two Variables.

4. Exponents and Polynomials.

Exponents. Negative Exponents and Scientific Notation. Introduction to Polynomials. Adding and Subtracting Polynomials. Multiplying Polynomials. Special Products. Integrated Review—Operations on Polynomials. Dividing Polynomials.

5. Factoring Polynomials.

The Greatest Common Factor. Factoring Trinomials of the Form x2+ bx + c. Factoring Trinomials of the Forms ax2+ bx + c. Factoring Trinomials of the Forms ax2+ bx + c by Grouping. Factoring Perfect Square Trinomials and the Differences of Two Squares. Integrated Review-Choosing a Factoring Strategy. Solving Quadratic Equations by Factoring. Quadratic Equations and Problem Solving.

6. Rational Expressions.

Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator. Adding and Subtracting Rational Expressions with Different Denominators. Solving Equations Containing Rational Expressions. Integrated Review—Summary on Rational Expressions. Rational Equations and Problem Solving. Simplifying Complex Fractions.

7. Graphs and Functions.

The Slope-Intercept Form. More Equations of Lines. Integrated Review—Linear Equations in Two Variables. Introduction to Functions. Polynomial and Rational Functions. An Introduction to Graphing Polynomial Functions.

8. Systems of Equations.

Solving Systems of Linear Equations by Graphing. Solving Systems of Linear Equations by Substitution. Solving Systems of Linear Equations by Addition. Solving Systems of Linear Equations in Three Variables. Integrated Review—Systems of Linear Equations. Solving Systems of Linear Equations Using Matricies. Solving Systems of Linear Equations Using Determinants. Systems of Inequalities.

9. Rational Exponents, Radicals, and Complex Numbers.

Solving Quadratic Equations by Completing the Square. Solving Quadratic Equations by the Quadratic Formula. Solving Equations by Using Quadratic Methods. Integrated Review—Summary on Solving Quadratic Equations. Nonlinear Inequalities in One Variable. Quadratic Functions and Their Graphs. Further Graphing of Quadratic Functions.

11. Exponential and Logarithmic Functions.

The Algebra of Functions. Inverse Functions. Exponential Functions. Logarithmic Functions. Properties of Logarithms. Integrated Review—Functions and Properties of Logarithms. Common Logarithms, Natural Logarithms, and Changes of Base. Exponential and Logarithmic Equations and Problem Solving.

12. Conic Sections.

The Parabola and the Circle. The Ellipse and the Hyperbola. Integrated Review—Graphing Conic Sections. Graphing Nonlinear Functions. Solving Nonlinear Systems of Equations. Nonlinear Inequalities and Systems of Inequalities.

Appendix A: Review of Angles, Lines, and Special Triangles.
Appendix B: Review of Geometric Figures.
Appendix C: Table of Squares and Square Roots.
Appendix D: Mean, Median and Mode.
Appendix E: Sets and Compound Inequalities.
Appendix F: Absolute Value Equations and Inequalities.