Intermediate Algebra for College Students

by Angel, Allen R.

• ISBN13: 9780139163210
• ISBN10: 0139163212
• Edition: 5th
• Format: Hardcover
• Copyright: 1999-07-01
• Publisher: Pearson College Div

Summary

An emphasis on the practical applications of algebra motivates students and encourages them to see algebra as an important part of their daily lives. The student-friendly writing style uses short, clear sentences and easy-to-understand language, and the outstanding pedagogical program makes the material easy to follow and comprehend. The Fifth Edition places a stronger emphasis on problem solving, incorporating it as a theme throughout the text. 4-color hardback text w/complete text-specific instructor and student print/media supplement package AMATYC/NCTM Standards of Content and Pedagogy integrated in Preview and Perspective Chapter Openers, Graded Exercise Sets, Real-World Applications, Writing Exercises, Group Activity/Challenge Problems and Calculator Corners Boxes Many step-by-step worked-out examples provide students with detailed explanation throughout the sections Helpful Hints, Common Student Errors Boxes, Chapter Summaries and Practice Tests included in each chapter help students study math and review for tests Cumulative Reviews are included in every other chapter and a unique Section 1.1Study Skills for Success in Mathematics, preps students with a study skill discussion and exercise set

Table of Contents

PREFACE	ix	(12)
TO THE STUDENT	xxi
1) Basic Concepts	1	(60)
1.1 Study Skills for Success in Mathematics and Using a Calculator	2	(5)
1.2 Sets and Other Basic Concepts	7	(10)
1.3 Properties of and Operations with Real Numbers	17	(12)
1.4 Order of Operations	29	(11)
1.5 Exponents	40	(9)
1.6 Scientific Notation	49	(7)
Summary	56	(2)
Review Exercises	58	(2)
Practice Test	60	(1)
2) Equations and Inequalities	61	(76)
2.1 Solving Linear Equations	62	(12)
2.2 Problem Solving and Using Formulas	74	(10)
2.3 Applications of Algebra	84	(12)
2.4 Additional Application Problems	96	(10)
2.5 Solving Linear Inequalities	106	(15)
2.6 Solving Equations and Inequalities Containing Absolute Values	121	(10)
Summary	131	(1)
Review Exercises	132	(2)
Practice Test	134	(1)
Cumulative Review Test	135	(2)
3) Graphs and Functions	137	(84)
3.1 Graphs	138	(14)
3.2 Functions	152	(16)
3.3 Linear Functions: Graphs and Applications	168	(11)
3.4 The Slope-Intercept Form of a Linear Equation	179	(14)
3.5 The Point-Slope Form of a Linear Equation	193	(9)
3.6 The Algebra of Functions	202	(9)
3.7 Graphing Linear Inequalities	211	(3)
Summary	214	(1)
Review Exercises	215	(4)
Practice Test	219	(1)
Cumulative Review Test	220	(1)
4) Systems of Equations and Inequalities	221	(60)
4.1 Solving Systems of Linear Equations in Two Variables	222	(11)
4.2 Solving Systems of Linear Equations in Three Variables	233	(8)
4.3 Systems of Linear Equations: Applications and Problem Solving	241	(13)
4.4 Solving Systems of Equations Using Matrices	254	(8)
4.5 Solving Systems of Equations Using Determinants and Cramer's Rule	262	(8)
4.6 Solving Systems of Linear Inequalities	270	(5)
Summary	275	(1)
Review Exercises	276	(2)
Practice Test	278	(1)
Cumulative Review Test	279	(2)
5) Polynomials and Polynomial Functions	281	(76)
5.1 Addition and Substraction of Polynomials	282	(10)
5.2 Multiplication of Polynomials	292	(9)
5.3 Division of Polynomials and Synthetic Division	301	(8)
5.4 Factoring a Monomial From a Polynomial and Factoring by Grouping	309	(7)
5.5 Factoring Trinomials	316	(11)
5.6 Special Factoring Formulas	327	(8)
5.7 A General Review of Factoring	335	(4)
5.8 Polynomial Equations	339	(12)
Summary	351	(1)
Review Exercises	352	(3)
Practice Test	355	(1)
Cumulative Review Test	355	(2)
6) Rational Expressions and Equations	357	(64)
6.1 The Domains of Rational Functions and Multiplication and Division of Rational Expressions	358	(9)
6.2 Addition and Substraction of Rational Expressions	367	(10)
6.3 Complex Fractions	377	(6)
6.4 Solving Rational Equations	383	(13)
6.5 Rational Equations: Applications and Problem Solving	396	(10)
6.6 Variation	406	(9)
Summary	415	(1)
Review Exercises	415	(3)
Practice Test	418	(1)
Cumulative Review Test	419	(2)
7) Roots, Radicals, and Complex Numbers	421	(68)
7.1 Roots and Radicals	422	(8)
7.2 Rational Exponents	430	(8)
7.3 Multiplying and Simplifying Radicals	438	(8)
7.4 Dividing and Simplifying Radicals	446	(10)
7.5 Adding and Subtracting Radicals	456	(6)
7.6 Solving Radical Equations	462	(12)
7.7 Complex Numbers	474	(8)
Summary	482	(1)
Review Exercises	483	(3)
Practice Test	486	(1)
Cumulative Review Test	487	(2)
8) Quadratic Functions	489	(70)
8.1 Solving Quadratic Equations by Completing the Square	490	(10)
8.2 Solving Quadratic Equations by the Quadratic Formula	500	(14)
8.3 Quadratic Equations: Applications and Problem Solving	514	(7)
8.4 Writing Equations in Quadratic Form	521	(7)
8.5 Graphing Quadratic Functions	528	(17)
8.6 Quadratic and Other Inequalities in One Variable	545	(9)
Summary	554	(1)
Review Exercises	555	(2)
Practice Test	557	(1)
Cumulative Review Test	558	(1)
9) Exponential and Logarithmic Functions	559	(62)
9.1 Composite and Inverse Functions	560	(12)
9.2 Exponential Functions	572	(7)
9.3 Logarithmic Functions	579	(6)
9.4 Properties of Logarithms	585	(6)
9.5 Common Logarithms	591	(6)
9.6 Exponential and Logarithmic Equations	597	(7)
9.7 Natural Exponential and Natural Logarithmic Functions	604	(12)
Summary	616	(1)
Review Exercises	617	(2)
Practice Test	619	(1)
Cumulative Review Test	620	(1)
10) Conic Sections	621	(38)
10.1 The Parabola and the Circle	622	(12)
10.2 The Ellipse	634	(5)
10.3 The Hyperbola	639	(6)
10.4 Nonlinear Systems of Equations and Their Applications	645	(8)
Summary	653	(1)
Review Exercises	654	(2)
Practice Test	656	(1)
Cumulative Review Test	657	(2)
11) Sequences, Series, and the Binomial Theorem	659	(38)
11.1 Sequences and Series	660	(8)
11.2 Arithmetic Sequences and Series	668	(6)
11.3 Geometric Sequences and Series	674	(11)
11.4 The Binomial Theorem	685	(6)
Summary	691	(1)
Review Exercises	692	(2)
Practice Test	694	(1)
Cumulative Review Test	695	(2)
Appendices	697
A A Review of Fractions
B Geometric Formulas
Answers	A1
Index	I1
Photo Credits	P1