[Book Cover]

Introductory and Intermediate Algebra, 1/e

K. Elayn Martin-Gay, University of New Orleans, Lakefront

Published August, 1995 by Prentice Hall Engineering/Science/Mathematics

Copyright 1996, 768 pp.
Cloth
ISBN 0-13-341504-X


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Summary

Beginning and Intermediate Algebra will appeal to students who have mastered arithmetic concepts and need a review of, or introduction to, algebra topics before proceeding to college algebra or other higher-level math courses. This text emphasizes problem-solving, critical thinking and real-world applications, in a way your students will find easy to understand.
This text incorporates many of the features that make the Martin-Gay series so successful—including its accessible writing style and user-friendly pedagogy.
NEW—updated applications relate to a variety of disciplines. Environmental science, allied health, astronomy, and business applications (to name only a few) will appeal to students from a variety of backgrounds.
NEWa heavy emphasis on analyzing data. Bar graphs, circle graphs, and real data are included where applicable to emphasize the connection between statistics and algebra. With this emphasis, students will learn how to read charts and graphs—and be more motivated to learn.
NEW—problem solving is introduced in Section 2.5, and then integrated throughout the text. A six-step process is included to give students a framework for solving applications. This allows them to concentrate on the math skills needed to solve problems.
NEW—an early introduction to graphing, introduced in Chapter 4. This is used as a tool for solving problems. This allows for an increased emphasis on visualization that better enables students to grasp algebra concepts.
NEW—effectively integrates geometric concepts. Geometric figures and applications are included as frequently as possible, emphasizing the connection between algebra and geometry.  PROVEN PEDAGOGY: 
problem-solving and critical-thinking skills are developed via chapter-opening vignettes with full-color photographs, along with related end-of-chapter boxes that extend the vignettes and offer thought-provoking questions.
a two-tier pedagogical strategy allows students to master concepts and gain confidence. The first part of all exercise sets is keyed directly to worked examples in the text. Once students have gained confidence in a skill, the second part contains exercises that are more challenging.
A Look Ahead exercises and examples, bridge the gap between beginning, intermediate, and college algebra and precalculus. These examples with accompanying exercises are extensions of topics which give students a glimpse of what they can expect in their next course.
Word Problems and Writing in Mathematics exercises are featured throughout and highlighted within exercise sets.
Calculator boxes are placed appropriately throughout the text to instruct students on the proper use of a calculator. These boxes are entirely optional, and contain examples and exercises to reinforce the material introduced.
Helpful Hint boxes contain practical advice on problem solving. They appear in context, and give students extra help in understanding and working problems.
Mental Math appears at the beginning of many exercise sets and encourages students to do routine calculations in their heads.
End of Chapter materials: end-of-chapter reviews, tests, cumulative reviews, and chapter summaries provide students with a variety of exercise material. = gif/chapter.gif = 1. Review of Real Numbers. gif/ahead.gifS = Symbols. Sets of Numbers. Fractions. Exponents, Roots, and Order of Operations. Introduction to Variables and Equations. Adding and Subtracting Real Numbers. Multiplying and Dividing Real Numbers. Properties of Real Numbers. gif/chapter.gif = 2. Equations and Problem Solving. gif/ahead.gifS = Simplifying Algebraic Expressions. The Addition and Multiplication Properties of Equality. Solving Linear Equations. Formulas. An Introduction to Problem Solving. Reading Graphs and Ordered Pairs. gif/chapter.gif = 3. Inequalities, Absolute Value, and Problem Solving. gif/ahead.gifS = Ratio and Proportion. Percent and Problem Solving. Further Applications of Linear Equations. Absolute Value Equations. The Addition and Multiplication Properties of Inequality. Compound Inequalities. Absolute Value Inequalities. gif/chapter.gif = 4. Graphing. gif/ahead.gifS = Graphing Equations. Introduction to Functions. Graphing Linear Functions. The Slope of a Line. Equations of Lines. Graphing Linear Inequalities. gif/chapter.gif = 5. Exponents and Polynomials. gif/ahead.gifS = Exponents. Negative Exponents and Scientific Notation. Addition and Subtraction of Polynomials. Multiplication of Polynomials. Division of Polynomials. Synthetic Division and the Remainder Theorem. Algebra of Functions and Composition of Functions. gif/chapter.gif = 6. Factoring Polynomials. gif/ahead.gifS = The Greatest Common Factor and Factoring by Grouping. Factoring Trinomials of the Form x + bx + c. Factoring Trinomials of the Form ax + bx + c. Factoring Binomials. Factoring Polynomials Completely. Solving Equations by Factoring and Problem Solving. An Introduction to Graphing Polynomial Functions. gif/chapter.gif = 7. Rational Expressions. gif/ahead.gifS = Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Complex Fractions. Solving Equations Containing Rational Expressions. Rational Expressions and Problem Solving. Variation and Problem Solving. gif/chapter.gif = 8. Roots and Radicals. gif/ahead.gifS = Introduction to Radicals. Simplifying Radicals. Adding and Subtracting Radicals. Multiplying and Dividing Radicals. Rational Exponents. Solving Equations Containing Radicals. gif/chapter.gif = 9. Quadratic Equations and Inequalities. gif/ahead.gifS = Solving Quadratic Equations by Completing the Square. Solving Quadratic Equations by the Quadratic Formula. Solving Equations in Quadratic Form. Nonlinear Inequalities in One Variable. Quadratic Functions and Their Graphs. Further Graphing of Quadratic Functions. The Parabola and the Circle. The Ellipse and the Hyperbola. gif/chapter.gif = 10. Systems of Equations and Inequalities. gif/ahead.gifS = Solving the Systems of Linear Equations in Two Variables. Solving the Systems of Linear Equations in Three Variables. Applications of Linear Systems of Equations. Solving Systems of Equations by Determinates. Solving Systems of Equations by Matrices. Solving Nonlinear Systems of Equations. Nonlinear Inequalities and Systems of Inequalities. gif/chapter.gif = 11. Exponential and Logarithmic Functions. gif/ahead.gifS = Inverse Functions. Exponential Functions. Logarithmic Functions. Properties of Logarithms. Common Logarithms, Natural Logarithms and Change of Base. Exponential and Logarithmic Functions and Problem Solving. gif/chapter.gif = 12. Sequences, Series, and the Binomial Theorem. gif/ahead.gifS = Sequences. Arithmetic and Geometric Sequences. Series. Partial Sums of Arithmetic and Geometric Sequences. The Binomial Theorem. gif/chapter.gif = Appendix A. Operations on Decimals. gif/chapter.gif = Appendix B. Review of Angles, Lines, and Special Triangles. gif/chapter.gif = Appendix C. Review of Geometric Figures. gif/chapter.gif = Appendix D. Table of Squares and Square Roots. gif/chapter.gif = Appendix E. Answers to Selected Exercises. gif/chapter.gif = Index. =  …• 1996,  = 768 pp.,  = cloth  =  (0-13-341504-X)  =  (34150-3)  = MM0108 p.296 = =  SUPPLEMENTS:  = Instructor's Solutions Manual (0-13-380841-6); (38084-0) = Test Item File (0-13-381278-2); (38127-7) = 3.5 IBM TestPro Beginning Algebra (0-13-370198-0); (37019-7) = Student Solutions Manual (0-13-380908-0); (38090-7) = Lecture Videotape Beginning (0-13-086836-1); (08683-5) = Lecture Videotape Intermediate (0-13-474149-8); (47414-8) = MAC Math Master Tutor Beginning (0-13-086828-0); (08682-7) = MAC Math Master Tutor Intermediate (0-13-474081-5); (47408-0)

Features


NEW—updated applications relate to a variety of disciplines. Environmental science, allied health, astronomy, and business applications (to name only a few) will appeal to students from a variety of backgrounds.
NEWa heavy emphasis on analyzing data. Bar graphs, circle graphs, and real data are included where applicable to emphasize the connection between statistics and algebra. With this emphasis, students will learn how to read charts and graphs—and be more motivated to learn.
NEW—problem solving is introduced in Section 2.5, and then integrated throughout the text. A six-step process is included to give students a framework for solving applications. This allows them to concentrate on the math skills needed to solve problems.
NEW—an early introduction to graphing, introduced in Chapter 4. This is used as a tool for solving problems. This allows for an increased emphasis on visualization that better enables students to grasp algebra concepts.
NEW—effectively integrates geometric concepts. Geometric figures and applications are included as frequently as possible, emphasizing the connection between algebra and geometry.  PROVEN PEDAGOGY: 
problem-solving and critical-thinking skills are developed via chapter-opening vignettes with full-color photographs, along with related end-of-chapter boxes that extend the vignettes and offer thought-provoking questions.
a two-tier pedagogical strategy allows students to master concepts and gain confidence. The first part of all exercise sets is keyed directly to worked examples in the text. Once students have gained confidence in a skill, the second part contains exercises that are more challenging.
A Look Ahead exercises and examples, bridge the gap between beginning, intermediate, and college algebra and precalculus. These examples with accompanying exercises are extensions of topics which give students a glimpse of what they can expect in their next course.
Word Problems and Writing in Mathematics exercises are featured throughout and highlighted within exercise sets.
Calculator boxes are placed appropriately throughout the text to instruct students on the proper use of a calculator. These boxes are entirely optional, and contain examples and exercises to reinforce the material introduced.
Helpful Hint boxes contain practical advice on problem solving. They appear in context, and give students extra help in understanding and working problems.
Mental Math appears at the beginning of many exercise sets and encourages students to do routine calculations in their heads.
End of Chapter materials: end-of-chapter reviews, tests, cumulative reviews, and chapter summaries provide students with a variety of exercise material.


Table of Contents

    1. Review of Real Numbers.

      Symbols. Sets of Numbers. Fractions. Exponents, Roots, and Order of Operations. Introduction to Variables and Equations. Adding and Subtracting Real Numbers. Multiplying and Dividing Real Numbers. Properties of Real Numbers.

    2. Equations and Problem Solving.

      Simplifying Algebraic Expressions. The Addition and Multiplication Properties of Equality. Solving Linear Equations. Formulas. An Introduction to Problem Solving. Reading Graphs and Ordered Pairs.

    3. Inequalities, Absolute Value, and Problem Solving.

      Ratio and Proportion. Percent and Problem Solving. Further Applications of Linear Equations. Absolute Value Equations. The Addition and Multiplication Properties of Inequality. Compound Inequalities. Absolute Value Inequalities.

    4. Graphing.

      Graphing Equations. Introduction to Functions. Graphing Linear Functions. The Slope of a Line. Equations of Lines. Graphing Linear Inequalities.

    5. Exponents and Polynomials.

      Exponents. Negative Exponents and Scientific Notation. Addition and Subtraction of Polynomials. Multiplication of Polynomials. Division of Polynomials. Synthetic Division and the Remainder Theorem. Algebra of Functions and Composition of Functions.

    6. Factoring Polynomials.

      The Greatest Common Factor and Factoring by Grouping. Factoring Trinomials of the Form x + bx + c. Factoring Trinomials of the Form ax + bx + c. Factoring Binomials. Factoring Polynomials Completely. Solving Equations by Factoring and Problem Solving. An Introduction to Graphing Polynomial Functions.

    7. Rational Expressions.

      Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Complex Fractions. Solving Equations Containing Rational Expressions. Rational Expressions and Problem Solving. Variation and Problem Solving.

    8. Roots and Radicals.

      Introduction to Radicals. Simplifying Radicals. Adding and Subtracting Radicals. Multiplying and Dividing Radicals. Rational Exponents. Solving Equations Containing Radicals.

    9. Quadratic Equations and Inequalities.

      Solving Quadratic Equations by Completing the Square. Solving Quadratic Equations by the Quadratic Formula. Solving Equations in Quadratic Form. Nonlinear Inequalities in One Variable. Quadratic Functions and Their Graphs. Further Graphing of Quadratic Functions. The Parabola and the Circle. The Ellipse and the Hyperbola.

    10. Systems of Equations and Inequalities.

      Solving the Systems of Linear Equations in Two Variables. Solving the Systems of Linear Equations in Three Variables. Applications of Linear Systems of Equations. Solving Systems of Equations by Determinates. Solving Systems of Equations by Matrices. Solving Nonlinear Systems of Equations. Nonlinear Inequalities and Systems of Inequalities.

    11. Exponential and Logarithmic Functions.

      Inverse Functions. Exponential Functions. Logarithmic Functions. Properties of Logarithms. Common Logarithms, Natural Logarithms and Change of Base. Exponential and Logarithmic Functions and Problem Solving.

    12. Sequences, Series, and the Binomial Theorem.

      Sequences. Arithmetic and Geometric Sequences. Series. Partial Sums of Arithmetic and Geometric Sequences. The Binomial Theorem.

    Appendix A. Operations on Decimals.
    Appendix B. Review of Angles, Lines, and Special Triangles.
    Appendix C. Review of Geometric Figures.
    Appendix D. Table of Squares and Square Roots.
    Appendix E. Answers to Selected Exercises.
    Index.


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