Algebra: A Combined Approach, 1/e
Elayn Martin-Gay, University of New Orleans
Published June, 1999 by Prentice Hall Engineering/Science/Mathematics
Copyright 1999, 1060 pp.
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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
R. Prealgebra Review.
Factors and the Least Common Multiple. Fractions. Decimals
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 ReviewOperations
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 ReviewSolving 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 ReviewSummary 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 ReviewOperations on 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 ReviewSummary
on Rational Expressions. Rational Equations and Problem Solving. Simplifying
7. Graphs and Functions.
The Slope-Intercept Form. More Equations of Lines. Integrated
ReviewLinear Equations in Two Variables. Introduction to Functions.
Polynomial and Rational Functions. An Introduction to Graphing Polynomial
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 ReviewSystems 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.
Radical Expressions. Rational Exponents. Simplifying Radical
Expressions. Adding, Subtracting, and Multiplying Radical Expressions.
Rationalizing Numerators and Denominators of Radical Expressions.
Integrated ReviewRadicals and Rational Exponents. Radical Equations
and Problem Solving. Complex Numbers.
10. Quadratic Equations and Functions.
Solving Quadratic Equations by Completing the Square. Solving
Quadratic Equations by the Quadratic Formula. Solving Equations by
Using Quadratic Methods. Integrated ReviewSummary 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
ReviewFunctions 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 ReviewGraphing 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.