Algebra for College Students

by Angel, Allen R.

• ISBN13: 9780130848710
• ISBN10: 0130848719
• Edition: 1st
• Format: Hardcover
• Copyright: 2000-05-01
• Publisher: PRENTICE HALL

Summary

Algebra for College Students is typically used in a very comprehensive 1-semester&Intermediate Algebra course serving as a gateway course to other college-level mathematics courses.& The goal&of&the Intermediate Algebra course&is to provide students with the mathematical skills that are prerequisites for courses such as College Algebra, Elementary Statistics, Liberal-Arts Math and Mathematics for Teachers.& This Algebra for College students text may also be used in a 1-semester, lower-level College Algebra course as a prerequisite to Precalculus.

Table of Contents

Preface	xi
To The Student	xxi
Basic Concepts	1	(60)
Study Skills for Success in Mathematics and Using a Calculator	2	(5)
Sets and Other Basic Concepts	7	(10)
Properties of and Operations with Real Numbers	17	(12)
Order of Operations	29	(11)
Exponents	40	(9)
Scientific Notation	49	(12)
Summary	56	(2)
Review Exercises	58	(2)
Practice Test	60	(1)
Equations and Inequalities	61	(76)
Solving Linear Equations	62	(12)
Problem Solving and Using Formulas	74	(10)
Applications of Algebra	84	(12)
Additional Application Problems	96	(10)
Solving Linear Inequalities	106	(15)
Solving Equations and Inequalities Containing Absolute Values	121	(16)
Summary	131	(1)
Review Exercises	132	(2)
Practice Test	134	(1)
Cumulative Review Test	135	(2)
Graphs and Functions	137	(84)
Graphs	138	(14)
Functions	152	(16)
Linear Functions: Graphs and Applications	168	(11)
The Slope-Intercept Form of a Linear Equation	179	(14)
The Point-Slope Form of a Linear Equation	193	(9)
The Algebra of Functions	202	(9)
Graphing Linear Inequalities	211	(10)
Summary	214	(1)
Review Exercises	215	(4)
Practice Test	219	(1)
Cumulative Review Test	220	(1)
Systems of Equations and Inequalities	221	(60)
Solving System of Linear Equations in Two Variables	222	(11)
Solving Systems of Linear Equations in Three Variables	233	(8)
Systems of Linear Equations: Applications and Problems Solving	241	(13)
Solving Systems of Equations Using Matrices	254	(8)
Solving Systems of Equations Using Determinants and Cramer's Rule	262	(8)
Solving Systems of Linear Inequalities	270	(11)
Summary	276	(1)
Review Exercise	277	(2)
Practice Test	279	(1)
Cumulative Review Test	280	(1)
Polynomials and Polynomial Functions	281	(76)
Addition and Subtraction of Polynomials	282	(10)
Multiplication of Polynomials	292	(9)
Division of Polynomials and Synthetic Division	301	(8)
Factoring a Monomial From a Polynomial and Factoring by Grouping	309	(7)
Factoring Trinomials	316	(11)
Special Factoring Formulas	327	(8)
A General Review of Factoring	335	(4)
Polynomial Equations	339	(18)
Summary	351	(1)
Review Exercises	352	(3)
Practice Test	355	(1)
Cumulative Review Test	355	(2)
Rational Expressions and Equations	357	(64)
The Domains of Rational Functions and Multiplication and Division of Rational Expressions	358	(9)
Addition and Subtraction of Rational Expressions	367	(10)
Complex Fractions	377	(6)
Solving Rational Equations	383	(13)
Rational Equations: Applications and Problem Solving	396	(10)
Variation	406	(15)
Summary	415	(1)
Review Exercises	415	(3)
Practice Test	418	(1)
Cumulative Review Test	419	(2)
Roots, Radicals, and Complex Numbers	421	(68)
Roots and Radicals	422	(8)
Rational Exponents	430	(8)
Multiplying and Simplifying Radicals	438	(8)
Dividing and Simplifying Radicals	446	(10)
Adding and Subtracting Radicals	456	(6)
Solving Radical Equations	462	(12)
Complex Numbers	474	(15)
Summary	482	(1)
Review Exercises	483	(3)
Practice Test	486	(1)
Cumulative Review Test	487	(2)
Quadratic Functions	489	(70)
Solving Quadratic Equations by Completing the Square	490	(10)
Solving Quadratic Equations by the Quadratic Formula	500	(14)
Quadratic Equations: Applications and Problem Solving	514	(7)
Writing Equations in Quadratic Form	521	(7)
Graphing Quadratic Functions	528	(17)
Quadratic and Other Inequalities in One Variable	545	(14)
Summary	554	(1)
Review Exercises	555	(2)
Practice Test	557	(1)
Cumulative Review Test	558	(1)
Exponential and Logerithmic Functions	559	(62)
Composite and Inverse Functions	560	(12)
Exponential Functions	572	(7)
Logarithmic Functions	579	(6)
Properties of Logarithms	585	(6)
Common Logarithms	591	(6)
Exponential and Logarithmic Equations	597	(7)
Natural Exponential and Natural Logarithmic Functions	604	(17)
Summary	616	(1)
Review Exercises	617	(2)
Practice Test	619	(1)
Cumulative Review Test	620	(1)
Characteristics of Functions and Their Graphs	621	(64)
Continuous and Discontinuous Functions	622	(8)
Characteristics of Graphs of Polynomial Functions	630	(11)
Finding the Rational Zeros of a Polynomial Functions	641	(14)
Finding the Real Zeros of a Polynomial Function	655	(9)
Characteristics of Graphs of Rational Functions	664	(21)
Summary	678	(2)
Review Exercises	680	(2)
Practice Test	682	(1)
Cumulative Review Test	683	(2)
Conic Sections	685	(42)
The Parabola and the Circle	686	(12)
The Ellipse	698	(5)
The Hyperbola	703	(6)
Nonlinear Systems of Equations and Their Applications	709	(8)
Nonlinear Systems of Inequalities	717	(10)
Summary	722	(1)
Review Exercises	723	(1)
Practice Test	724	(1)
Cumulative Review Test	725	(2)
Sequences, Series, and Probability	727	(68)
Sequences and Series	728	(8)
Arithmetic Sequences and Series	736	(6)
Geometric Sequences and Series	742	(11)
Mathematical Induction	753	(38)
The Binomial Theorem	791
The Counting Principle, Permutations, and Combinations	767	(12)
Probability	779	(16)
Summary	789	(1)
Review Exercises	790	(3)
Practice Test	793	(1)
Cumulative Review Test	794	(1)
Appendix Geometric Formulas	795	(120)
Answers	A1
Index	I1
Photo Credits	P1