Beginning Algebra, International Edition

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9781439047866: Beginning Algebra, International Edition
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Presents a learning plan to help students succeed in Beginning Algebra and transition to the next level in their coursework. This book teaches students to develop problem-solving skills and strategies that they can use in their everyday lives.

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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:

R. David Gustafson is Professor Emeritus of Mathematics at Rock Valley College in Illinois and has also taught extensively at Rockford College and Beloit College. He is coauthor of several best-selling mathematics textbooks, including Gustafson/Frisk/Hughes' COLLEGE ALGEBRA, Gustafson/Karr/Massey's BEGINNING ALGEBRA, INTERMEDIATE ALGEBRA, BEGINNING AND INTERMEDIATE ALGEBRA, BEGINNING AND INTERMEDIATE ALGEBRA: A COMBINED APPROACH, and the Tussy/Gustafson and Tussy/Gustafson/Koenig developmental mathematics series. His numerous professional honors include Rock Valley Teacher of the Year and Rockford's Outstanding Educator of the Year. He has been very active in AMATYC as a Midwest Vice-president and has been President of IMACC, AMATYC's Illinois affiliate. He earned a Master of Arts from Rockford College in Illinois, as well as a Master of Science from Northern Illinois University.

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