Introductory Algebra

by Tussy,Alan S.

• ISBN13: 9780534407353
• ISBN10: 0534407358
• Edition: 3rd
• Format: Paperback
• Copyright: 2005-03-02
• Publisher: Cengage Learning

Summary

The fundamental goal in Tussy and Gustafson's INTRODUCTORY ALGEBRA, Third Edition is to teach students to read, write, and think about mathematics through building a conceptual foundation in the language of mathematics. The book blends instructional approaches that include vocabulary, practice, and well-defined pedagogy, along with an emphasis on reasoning, modeling, communication, and technology skills to develop students' fluency in the "language of algebra". Tussy and Gustafson understand the challenges of teaching developmental students and this book reflects a holistic approach to teaching mathematics that includes developing study skills, problem solving and critical thinking alongside mathematical concepts. New features in this edition include a pretest for students to gauge their understanding of prerequisite concepts, problems that make correlations between student life and the mathematical concepts and study skills information designed to give students the best chance to succeed in the course. Additionally, the texts widely acclaimed Study Sets at the end of every section are tailored to improve students' ability to read, write and communicate mathematical ideas.

Table of Contents

An Introduction to Algebra	1	(88)
The Real Numbers
Order of Operations
The Language of Algebra	4	(8)
Fractions and Decimals	12	(12)
The Real Numbers	24	(10)
Adding and Subtracting Real Numbers	34	(11)
Multiplying and Dividing Real Numbers	45	(10)
Exponents and Order of Operations	55	(11)
Algebraic Expressions	66	(23)
Key Concept: Variables	78	(1)
Accent on Teamwork	79	(1)
Chapter Review	80	(7)
Chapter Test	87	(2)
Equations, Inequalities, and Problem Solving	89	(94)
Translating Written Phrases
Solving Equations Part 1
Solving Equations Part 2
Solving Equations	92	(8)
Problem Solving	100	(15)
Simplifying Algebraic Expressions	115	(10)
More about Solving Equations	125	(8)
Formulas	133	(12)
More about Problem Solving	145	(14)
Inequalities	159	(24)
Key Concept: Simplify and Solve	172	(1)
Accent on Teamwork	173	(1)
Chapter Review	174	(5)
Chapter Test	179	(2)
Cumulative Review Exercises	181	(2)
Graphs, Linear Equations, and Functions	183	(94)
Equations Containing Two Variables
Rate of Change and the Slope of a Line
Graphing Using the Rectangular Coordinate System	186	(10)
Equations Containing Two Variables	196	(12)
Graphing Linear Equations	208	(12)
Rate of Change and the Slope of a Line	220	(14)
Slope--Intercept Form	234	(11)
Point--Slope Form; Writing Linear Equations	245	(8)
Functions	253	(24)
Key Concept: Describing Linear Relationships	264	(1)
Accent on Teamwork	265	(1)
Chapter Review	266	(7)
Chapter Test	273	(2)
Cumulative Review Exercises	275	(2)
Exponents and Polynomials	277	(76)
The Product Rule for Exponents
The Quotient Rule for Exponents
Negative Exponents
Natural-Number Exponents	280	(9)
Zero and Negative Integer Exponents	289	(8)
Scientific Notation	297	(8)
Polynomials	305	(6)
Adding and Subtracting Polynomials	311	(8)
Multiplying Polynomials	319	(10)
Dividing Polynomials by Monomials	329	(6)
Dividing Polynomials by Polynomials	335	(18)
Key Concept: Polynomials	341	(1)
Accent on Teamwork	342	(1)
Chapter Review	343	(6)
Chapter Test	349	(2)
Cumulative Review Exercises	351	(2)
Factoring and Quadratic Equations	353	(60)
Factoring Trinomials and the Difference of Two Squares
Solving Quadratic Equations by Factoring
Factoring Out the Greatest Common Factor and Factoring by Grouping	356	(10)
Factoring Trinomials of the Form x2 + bx + c	366	(7)
Factoring Trinomials of the Form ax2 + bx + c	373	(8)
Special Factorizations and a Factoring Strategy	381	(10)
Quadratic Equations	391	(22)
Key Concept: Factoring	403	(1)
Accent on Teamwork	404	(1)
Chapter Review	405	(4)
Chapter Test	409	(2)
Cumulative Review Exercises	411	(2)
Rational Expressions and Equations	413	(77)
Adding and Subtracting Rational Expressions
Simplifying Rational Expressions	416	(7)
Multiplying and Dividing Rational Expressions	423	(9)
Adding and Subtracting Rational Expressions	432	(9)
Complex Fractions	441	(6)
Rational Equations and Problem Solving	447	(12)
Proportions and Similar Triangles	459	(12)
Variation	471	(19)
Key Concept: Expressions and Equations	479	(1)
Accent on Teamwork	480	(1)
Chapter Review	481	(4)
Chapter Test	485	(2)
Cumulative Review Exercises	487	(3)
Solving Systems of Equations and Inequalities	490	(71)
Solving Systems of Equations by Graphing
Solving Systems of Equations by Graphing	493	(11)
Solving Systems of Equations by Substitution	504	(8)
Solving Systems of Equations by Addition	512	(7)
Applications of Systems of Equations	519	(12)
Graphing Linear Inequalities	531	(9)
Solving Systems of Linear Inequalities	540	(21)
Key Concept: Systems of Equations and Inequalities	549	(1)
Accent on Teamwork	550	(1)
Chapter Review	551	(6)
Chapter Test	557	(2)
Cumulative Review Exercises	559	(2)
Roots and Radicals	561	(76)
Using Square Roots
Square Roots	564	(11)
Higher-Order Roots; Radicands That Contain Variables	575	(7)
Simplifying Radical Expressions	582	(10)
Adding and Subtracting Radical Expressions	592	(6)
Multiplying and Dividing Radical Expressions	598	(9)
Solving Radical Equations; the Distance Formula	607	(10)
Rational Exponents	617	(20)
Key Concept: Inverse Operations	624	(1)
Accent on Teamwork	625	(1)
Chapter Review	626	(5)
Chapter Test	631	(2)
Cumulative Review Exercises	633	(4)
Quadratic Equations	637
The Quadratic Formula
Completing the Square	640	(9)
The Quadratic Formula	649	(12)
Graphing Quadratic Functions	661
Key Concept: Quadratic Equations	672	(1)
Accent on Teamwork	673	(1)
Chapter Review	674	(3)
Chapter Test	677	(2)
Cumulative Review Exercises	679
Appendix I Statistics	1	(4)
Appendix II Roots and Powers	5	(1)
Appendix III Answers to Selected Exercises (appears in Student Edition only)	6
Index	1