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Introductory Algebra Alan Tussy (Citrus College)

Introductory Algebra By Alan Tussy (Citrus College)

Introductory Algebra by Alan Tussy (Citrus College)


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Summary

Offering a modern, balanced approach, this book integrates the best of traditional drill and practice with the best elements of the reform movement. It blends instructional approaches that include vocabulary, practice, and pedagogy with an emphasis on reasoning, modeling, communication, and technology skills.

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Introductory Algebra Summary

Introductory Algebra by Alan Tussy (Citrus College)

Offering a uniquely modern, balanced approach, Tussy/Koenig's INTRODUCTORY ALGEBRA, Fifth Edition, integrates the best of traditional drill and practice with the best elements of the reform movement. To many developmental math students, algebra is like a foreign language. They have difficulty translating the words, their meanings, and how they apply to problem solving. Emphasizing the language of algebra, the text's fully integrated learning process is designed to expand students' reasoning abilities and teach them how to read, write, and think mathematically. It blends instructional approaches that include vocabulary, practice, and well-defined pedagogy with an emphasis on reasoning, modeling, communication, and technology skills.

Introductory Algebra Reviews

1. AN INTRODUCTION TO ALGEBRA. 1.1 The Language of Algebra. 1.2 Fractions. 1.3 The Real Numbers. 1.4 Adding Real Numbers; Properties of Addition. 1.5 Subtracting Real Numbers. 1.6 Multiplying and Dividing Real Numbers; Multiplication and Division Properties. 1.7 Exponents and Order of Operations. 1.8 Algebraic Expressions. 1.9 Simplifying Algebraic Expressions Using Properties of Real Numbers. Chapter Summary and Review. Chapter Test. 2. EQUATIONS, INEQUALITIES, AND PROBLEM SOLVING. 2.1 Solving Equations Using Properties of Equality. 2.2 More about Solving Equations. 2.3 Applications of Percent. 2.4 Formulas. 2.5 Problem Solving. 2.6 More about Problem Solving. 2.7 Solving Inequalities. Chapter Summary and Review. Chapter Test. Cumulative Review. 3. GRAPHS, LINEAR EQUATIONS, AND INEQUALITIES IN TWO VARIABLES; FUNCTIONS. 3.1 Graphing Using the Rectangular Coordinate System. 3.2 Equations Containing Two Variables. 3.3 Graphing Linear Equations. 3.4 Rate of Change and the Slope of a Line. 3.5 Slope-Intercept Form. 3.6 Point-Slope Form; Writing Equations. 3.7 Graphing Linear Inequalities. 3.8 Functions. Chapter Summary and Review. Chapter Test. Cumulative Review. 4. SOLVING SYSTEMS OF EQUATIONS AND INEQUALITIES. 4.1 Solving Systems of Equations by Graphing. 4.2 Solving Systems of Equations by Substitution. 4.3 Solving Systems of Equations by Addition (Elimination). 4.4 Problem Solving Using Systems of Equations. 4.5 Solving Systems of Linear Inequalities. Chapter Summary and Review. Chapter Test. Cumulative Review. 5. EXPONENTS AND POLYNOMIALS. 5.1 Natural-Number Exponents; Rules for Exponents. 5.2 Zero and Negative Integer Exponents. 5.3 Scientific Notation. 5.4 Polynomials. 5.5 Adding and Subtracting Polynomials. 5.6 Multiplying Polynomials. 5.7 Dividing Polynomials by Monomials. 5.8 Dividing Polynomials by Polynomials. Chapter Summary and Review. Chapter Test. Cumulative Review. 6. FACTORING AND QUADRATIC EQUATIONS. 6.1 The Greatest Common Factor; Factoring by Grouping. 6.2 Factoring Trinomials of the Form _x_2 + _bx_ + _c_. 6.3 Factoring Trinomials of the Form _ax_2 + _bx_ + _c_. 6.4 Factoring Perfect-Square Trinomials and the Difference of Two Squares. 6.5 Factoring the Sum and Difference of Two Cubes. 6.6 A Factoring Strategy. 6.7 Solving Quadratic Equations bu Factoring. 6.8 Applications of Quadratic Equations. Chapter Summary and Review. Chapter Test. Cumulative Review. 7. RATIONAL EXPRESSIONS AND EQUATIONS. 7.1 Simplifying Rational Expressions. 7.2 Multiplying and Dividing Rational Expressions. 7.3 Adding and Subtracting with Like Denominators; Least Common Denominators. 7.4 Adding and Subtracting with Unlike Denominators. 7.5 Simplifying Complex Fractions. 7.6 Solving Rational Equations. 7.7 Problem Solving Using Rational Equations. 7.8 Proportions and Similar Triangles. 7.9 Variation. Chapter Summary and Review. Chapter Test. Cumulative Review. 8. ROOTS AND RADICALS. 8.1 Square Roots. 8.2 Higher-Order Roots; Radicands That Contain Variables. 8.3 Simplifying Radical Expressions. 8.4 Adding and Subtracting Radical Expressions. 8.5 Multiplying and Dividing Radical Expressions. 8.6 Solving Radical Equations; the Distance Formula. 8.7 Rational Exponents. Chapter Summary and Review. Chapter Test. Cumulative Review. 9. QUADRATIC EQUATIONS. 9.1 Solving Quadratic Equations: The Square Root Property. 9.2 Solving Quadratic Equations: Completing the Square. 9.3 Solving Quadratic Equations: The Quadratic Formula. 9.4 Graphing Quadratic Equations. 9.5 Complex Numbers. Chapter Summary and Review. Chapter Test. Cumulative Review. Appendix 1 Statistics. Appendix 2 Roots and Powers.

About Alan Tussy (Citrus College)

Alan Tussy has taught all levels of developmental mathematics at Citrus College in Glendora, CA. He has written nine math books. An extraordinary author dedicated to his students' success, he is relentlessly meticulous and creative-a visionary who maintains a keen focus on the greatest challenges students face in Mathematics. Alan received his Bachelor of Science degree in Mathematics from University of Redlands and his Master of Science degree in Applied Mathematics from California State University, Los Angeles. He has taught across course and curriculum areas from prealgebra to differential equations. He is currently focusing on teaching courses related to Developmental Mathematics. Professor Tussy is a member of the American Mathematical Association of Two-Year Colleges (AMATYC). A nationally recognized educator and author, Diane Koenig actively shaped several textbooks, ancillaries and series. Since 1982 when she helped develop the Gustafson/Frisk series to her work on the Tussy/Koenig/Gustafson series, Diane's writing continues to reflect the expertise she gains from working with students in her Mathematics courses. Throughout her work, she integrates research-based strategies in Mathematics education. She earned a Bachelor of Science degree in Secondary Math Education from Illinois State University in 1980, and began her career at Rock Valley College in 1981, when she became the Math Supervisor for a newly formed Personalized Learning Center. Earning her Master's Degree in Applied Mathematics from Northern Illinois University in 1984, Diane, enjoys the distinction of being the first woman to become a full-time faculty member in the Mathematics department for Rock Valley College. In addition to being awarded AMATYC's Excellence in Teaching Award in 2015, she was chosen as the Rock Valley College Faculty of the Year by her peers in 2005, and the next year she was awarded the NISOD Teaching Excellence Award and the Illinois Mathematics Association of Community Colleges Award for Teaching Excellence. In addition to her teaching, she is an active member of the Illinois Mathematics Association of Community Colleges (IMACC), serving on the board of directors, on a state-level task force rewriting the course outlines for the Developmental Mathematics courses, and as the Association's newsletter editor.

Table of Contents

1. AN INTRODUCTION TO ALGEBRA. 1.1 The Language of Algebra. 1.2 Fractions. 1.3 The Real Numbers. 1.4 Adding Real Numbers; Properties of Addition. 1.5 Subtracting Real Numbers. 1.6 Multiplying and Dividing Real Numbers; Multiplication and Division Properties. 1.7 Exponents and Order of Operations. 1.8 Algebraic Expressions. 1.9 Simplifying Algebraic Expressions Using Properties of Real Numbers. Chapter Summary and Review. Chapter Test. 2. EQUATIONS, INEQUALITIES, AND PROBLEM SOLVING. 2.1 Solving Equations Using Properties of Equality. 2.2 More about Solving Equations. 2.3 Applications of Percent. 2.4 Formulas. 2.5 Problem Solving. 2.6 More about Problem Solving. 2.7 Solving Inequalities. Chapter Summary and Review. Chapter Test. Cumulative Review. 3. GRAPHS, LINEAR EQUATIONS, AND INEQUALITIES IN TWO VARIABLES; FUNCTIONS. 3.1 Graphing Using the Rectangular Coordinate System. 3.2 Equations Containing Two Variables. 3.3 Graphing Linear Equations. 3.4 Rate of Change and the Slope of a Line. 3.5 Slope-Intercept Form. 3.6 Point-Slope Form; Writing Equations. 3.7 Graphing Linear Inequalities. 3.8 Functions. Chapter Summary and Review. Chapter Test. Cumulative Review. 4. SOLVING SYSTEMS OF EQUATIONS AND INEQUALITIES. 4.1 Solving Systems of Equations by Graphing. 4.2 Solving Systems of Equations by Substitution. 4.3 Solving Systems of Equations by Addition (Elimination). 4.4 Problem Solving Using Systems of Equations. 4.5 Solving Systems of Linear Inequalities. Chapter Summary and Review. Chapter Test. Cumulative Review. 5. EXPONENTS AND POLYNOMIALS. 5.1 Natural-Number Exponents; Rules for Exponents. 5.2 Zero and Negative Integer Exponents. 5.3 Scientific Notation. 5.4 Polynomials. 5.5 Adding and Subtracting Polynomials. 5.6 Multiplying Polynomials. 5.7 Dividing Polynomials by Monomials. 5.8 Dividing Polynomials by Polynomials. Chapter Summary and Review. Chapter Test. Cumulative Review. 6. FACTORING AND QUADRATIC EQUATIONS. 6.1 The Greatest Common Factor; Factoring by Grouping. 6.2 Factoring Trinomials of the Form _x_2 + _bx_ + _c_. 6.3 Factoring Trinomials of the Form _ax_2 + _bx_ + _c_. 6.4 Factoring Perfect-Square Trinomials and the Difference of Two Squares. 6.5 Factoring the Sum and Difference of Two Cubes. 6.6 A Factoring Strategy. 6.7 Solving Quadratic Equations bu Factoring. 6.8 Applications of Quadratic Equations. Chapter Summary and Review. Chapter Test. Cumulative Review. 7. RATIONAL EXPRESSIONS AND EQUATIONS. 7.1 Simplifying Rational Expressions. 7.2 Multiplying and Dividing Rational Expressions. 7.3 Adding and Subtracting with Like Denominators; Least Common Denominators. 7.4 Adding and Subtracting with Unlike Denominators. 7.5 Simplifying Complex Fractions. 7.6 Solving Rational Equations. 7.7 Problem Solving Using Rational Equations. 7.8 Proportions and Similar Triangles. 7.9 Variation. Chapter Summary and Review. Chapter Test. Cumulative Review. 8. ROOTS AND RADICALS. 8.1 Square Roots. 8.2 Higher-Order Roots; Radicands That Contain Variables. 8.3 Simplifying Radical Expressions. 8.4 Adding and Subtracting Radical Expressions. 8.5 Multiplying and Dividing Radical Expressions. 8.6 Solving Radical Equations; the Distance Formula. 8.7 Rational Exponents. Chapter Summary and Review. Chapter Test. Cumulative Review. 9. QUADRATIC EQUATIONS. 9.1 Solving Quadratic Equations: The Square Root Property. 9.2 Solving Quadratic Equations: Completing the Square. 9.3 Solving Quadratic Equations: The Quadratic Formula. 9.4 Graphing Quadratic Equations. 9.5 Complex Numbers. Chapter Summary and Review. Chapter Test. Cumulative Review. Appendix 1 Statistics. Appendix 2 Roots and Powers.

Additional information

CIN1285429575G
9781285429571
1285429575
Introductory Algebra by Alan Tussy (Citrus College)
Used - Good
Paperback
Cengage Learning, Inc
20140129
864
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in good condition, but if you are not entirely satisfied please get in touch with us

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