Elementary Algebra (Paperback)

by Tussy, Alan S.; Gustafson, R. David

• ISBN13: 9780534355289
• ISBN10: 0534355285
• Edition: 1st
• Format: Paperback
• Copyright: 1998-01-15
• Publisher: Brooks Cole

Table of Contents

1 An Introduction to Algebra	1	(80)
1.1 Describing Numerical Relationships	2	(10)
1.2 The Real Numbers	12	(11)
1.3 Exponents and Order of Operations	23	(12)
1.4 Algebraic Expressions	35	(11)
1.5 Solving Equations	46	(13)
1.6 Problem Solving	59	(10)
Chapter Review	69	(8)
Chapter Test	77	(2)
Key Concept: Variables	79	(1)
Accent on Teamwork	80	(1)
2 Real Numbers, Equations, and Inequalities	81	(103)
2.1 Adding and Subtracting Real Numbers	82	(11)
2.2 Multiplying and Dividing Real Numbers	93	(10)
2.3 Order of Operations and Evaluating Algebraic Expressions	103	(10)
2.4 Simplifying Algebraic Expressions	113	(10)
2.5 Solving Equations	123	(11)
2.6 Formulas	134	(13)
2.7 Problem Solving	147	(11)
2.8 Inequalities	158	(12)
Key Concept: Simplify and Solve	170	(1)
Accent on Teamwork	171	(1)
Chapter Review	172	(7)
Chapter Test	179	(2)
Cumulative Review Exercises	181	(3)
3 Graphs, Linear Equations, and Functions	184	(93)
3.1 Graphing Using the Rectangular Coordinate System	185	(10)
3.2 Equations Containing Two Variables	195	(10)
3.3 Graphing Linear Equations	205	(14)
Graphing Calculators	213	(6)
3.4 Rate of Change and the Slope of a Line	219	(13)
3.5 Describing Linear Relationships	232	(12)
Graphing Calculators	238	(6)
3.6 Writing Linear Equations	244	(9)
3.7 Functions	253	(12)
Chapter Review	265	(8)
Chapter Test	273	(2)
Key Concept: Describing Linear Relationships	275	(1)
Accent on Teamwork	276	(1)
4 Solving Systems of Equations and Inequalities	277	(69)
4.1 Solving Systems of Equations by Graphing	278	(11)
Graphing Calculators	284	(5)
4.2 Solving Systems of Equations by Substitution	289	(9)
4.3 Solving Systems of Equations by Addition	298	(6)
4.4 Applications of Systems of Equations	304	(11)
4.5 Graphing Linear Inequalities	315	(9)
4.6 Solving Systems of Linear Inequalities	324	(9)
Chapter Review	333	(6)
Chapter Test	339	(2)
Key Concept: Systems of Equations and Inequalities	341	(1)
Accent on Teamwork	342	(1)
Cumulative Review Exercises	343	(3)
5 Exponents and Polynomials	346	(69)
5.1 Natural-Number Exponents	347	(8)
5.2 Zero and Negative Integer Exponents	355	(8)
5.3 Scientific Notation	363	(6)
5.4 Polynomials	369	(8)
5.5 Adding and Subtracting Polynomials	377	(7)
5.6 Multiplying Polynomials	384	(9)
5.7 Dividing Polynomials by Monomials	393	(7)
5.8 Dividing Polynomials by Polynomials	400	(6)
Chapter Review	406	(5)
Chapter Test	411	(2)
Key Concept: Polynomials	413	(1)
Accent on Teamwork	414	(1)
6 Roots and Radical Expressions	415	(70)
6.1 Square Roots and the Pythagorean Theorem	416	(9)
6.2 nth Roots and Radicands that Contain Variables	425	(7)
6.3 Solving Equations Containing Radicals; the Distance Formula	432	(12)
Graphing Calculators	438	(6)
6.4 Simplifying Radical Expressions	444	(8)
6.5 Adding and Subtracting Radical Expressions	452	(5)
6.6 Multiplying and Dividing Radical Expressions	457	(9)
6.7 Rational Exponents	466	(6)
Chapter Review	472	(5)
Chapter Test	477	(2)
Key Concept: Inverse Operations	479	(1)
Accent on Teamwork	480	(1)
Cumulative Review Exercises	481	(4)
7 Quadratic Equations	485	(70)
7.1 Factoring Out a Common Monomial; The Difference of Two Squares	486	(9)
7.2 Factoring Trinomials	495	(10)
7.3 Quadratic Equations	505	(10)
7.4 Completing the Square	515	(7)
7.5 The Quadratic Formula	522	(11)
7.6 Graphing Quadratic Functions	533	(6)
Graphing Calculators	539	(6)
Chapter Review	545	(6)
Chapter Test	551	(2)
Key Concept: Quadratic Equations	553	(1)
Accent on Teamwork	554	(1)
8 Proportion and Rational Expressions	555
8.1 Ratios	556	(7)
8.2 Proportions and Similar Triangles	563	(10)
8.3 Simplifying Fractions	573	(7)
8.4 Multiplying and Dividing Fractions	580	(8)
8.5 Adding and Subtracting Fractions	588	(10)
8.6 Complex Fractions	598	(7)
8.7 Solving Equations That Contain Fractions	605	(7)
8.8 Applications of Equations That Contain Fractions	612	(6)
Chapter Review	618	(5)
Chapter Test	623	(2)
Key Concept: The Language of Algebra	625	(1)
Accent on Teamwork	626	(1)
Cumulative Review Exercises	627
APPENDIX I Arithmetic Fractions	A-1	(13)
APPENDIX II Factoring the Sum and Difference of Two Cubes; Factoring by Grouping	A-14	(5)
APPENDIX III Answers to Selected Exercises	A-19
Index	I-1