Beginning Algebra - Hardcover

Gustafson, R. David

2.78

9 ratings by Goodreads

Hardcover

ISBN 10: 0534358322 ISBN 13: 9780534358327

Publisher: Brooks/Cole, 1998

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This text presents a mid-level of mathematical rigour while supporting the student with pedagogy. The book effectively prepares students for their next mathematics course as it presents all the topics associated with a first course in algebra. Mathematical concepts are motivated by need and illustrated through discussion, examples, and real-world applications.

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Review:

1. REAL NUMBERS AND THEIR BASIC PROPERTIES. Real Numbers and Their Graphs. Fractions. Exponents and Order of Operations. Adding and Subtracting Real Numbers. Multiplying and Dividing Real Numbers. Algebraic Expressions. Properties of Real Numbers. Projects. Chapter Review. Chapter 1 Test. 2. EQUATIONS AND INEQUALITIES. Solving Basic Linear Equations in One Variable. Solving More Linear Equations in One Variable. Simplifying Expressions to Solve Linear Equations in One Variable. Formulas. Introduction to Problem Solving. Motion and Mixture Problems. Solving Linear Inequalities in One Variable. Projects. Chapter Review. Chapter 2 Test. Cumulative Review Exercises. 3. GRAPHING; WRITING EQUATIONS OF LINES; FUNCTIONS; VARIATION. The Rectangular Coordinate System. Graphing Linear Equations. Slope of a Line. Point-Slope Form. Slope-Intercept Form. Functions. Variation. Projects. Chapter Review. Chapter 3 Test. 4. POLYNOMIALS. Natural-Number Exponents. Zero and Negative-Integer Exponents. Scientific Notation. Polynomials. Adding and Subtracting Polynomials. Multiplying Polynomials. Dividing Polynomials by Monomials. Dividing Polynomials by Polynomials. Projects. Chapter Review. Chapter 4 Test. Cumulative Review Exercises. 5. FACTORING POLYNOMIALS. Factoring Out the Greatest Common Factor; Factoring by Grouping. Factoring the Difference of Two Squares. Factoring Trinomials with a Leading Coefficient of 1. Factoring General Trinomials. Factoring the Sum and Difference of Two Cubes. Summary of Factoring Techniques. Solving Equations by Factoring. Problem Solving. Projects. Chapter Review. Chapter 5 Test. 6. RATIONAL EXPRESSIONS AND EQUATIONS; RATIO AND PROPORTION. Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Simplifying Complex Fractions. Solving Equations That Contain Rational Expressions. Solving Applications of Equations That Contain Rational Expressions. Ratios. Proportions and Similar Triangles. Projects. Chapter Review.Chapter 6 Test. Cumulative Review Exercises. 7. SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES. Solving Systems of Linear Equations by Graphing. Solving Systems of Linear Equations by Substitution. Solving Systems of Linear Equations by Elimination (Addition). Applications of Systems of Equations. Solving Systems of Linear Inequalities. Projects. Chapter Review. Chapter 7 Test. 8. ROOTS AND RADICAL EXPRESSIONS. Square Roots and the Pythagorean Theorem. nth Roots and Radicands That Contain Variables. Simplifying Radical Expressions. Adding and Subtracting Radical Expressions. Multiplying and Dividing Radical Expressions. Solving Equations Containing Radicals; the Distance Formula. Rational Exponents. Projects. Chapter Review. Chapter 8 Test. Cumulative Review Exercises. 9. QUADRATIC EQUATIONS AND GRAPHING QUADRATIC FUNCTIONS. Solving Quadratic Equations Using the Square-Root Property. Solving Quadratic Equations by Completing the Square. Solving Quadratic Equations by the Quadratic Formula. Graphing Quadratic Functions. Complex Numbers. Projects. Chapter Review. Chapter 9 Test. Glossary. Appendix I Sample Final Examination. Appendix II Powers and Roots. Appendix III Answers to Selected Exercises. Index I-1.

About the Author:

Rosemary Karr graduated from Eastern Kentucky University (EKU) in 1976 with a B.S. in Mathematics, attained her M.A. at EKU in Mathematics Education in 1981, and earned her Ph.D. from the University of North Texas in 1996. After two years teaching high school mathematics, she joined the faculty at Eastern Kentucky University, where she earned tenure as Assistant Professor of Mathematics. A professor of mathematics at Collin College in Plano Texas since 1990, Prof. Karr has written more than ten solutions manuals, presented numerous papers, and been an active member in several educational associations (including President of the National Association for Developmental Education). She has been honored several times by Collin College, and has received such national recognitions as U.S. Professor of the Year (2007), Minnie Stevens Piper Professor (2008), and CLADEA fellow (2012).

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