Intermediate Algebra

by Martin-Gay, K. Elayn

• ISBN13: 9780132288002
• ISBN10: 0132288001
• Edition: 1st
• Format: Paperback
• Copyright: 1998-12-01
• Publisher: Prentice Hall

Summary

Intermediate Algebra is 1-semester 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.

Table of Contents

Preface	vii
Real Numbers and Algebraic Expressions	1	(78)
Algebraic Expressions and Sets of Numbers	3	(10)
Properties of Real Numbers	13	(10)
Operations on Real Numbers	23	(14)
Algebraic Expressions and Real Numbers	35	(2)
Order of Operations and Algebraic Expressions	37	(10)
Exponents and Scientific Notation	47	(10)
More Work with Exponents and Scientific Notation	57	(22)
Searching for Patterns	67	(1)
Highlights	68	(3)
Review	71	(6)
Test	77	(2)
Equations, Inequalities, and Problem Solving	79	(88)
Linear Equations in One Variable	81	(10)
An Introduction to Problem Solving	91	(12)
Formulas and Problem Solving	103	(10)
Linear Inequalities and Problem Solving	113	(16)
Linear Equations and Inequalities	127	(2)
Sets and Compound Inequalities	129	(10)
Absolute Value Equations and Inequalities	139	(28)
Room Redecorating	151	(1)
Highlights	152	(5)
Review	157	(6)
Test	163	(2)
Cumulative Review	165	(2)
Graphs and Functions	167	(92)
Graphing Linear Equations	169	(16)
The Slope of a Line	185	(12)
The Slope-Intercept Form	197	(8)
More Equations of Lines	205	(14)
Linear Equations in Two Variables	217	(2)
Introduction to Functions	219	(14)
Graphing Linear Inequalities	233	(26)
Measuring Slope	241	(1)
Highlights	242	(5)
Review	247	(6)
Test	253	(4)
Cumulative Review	257	(2)
Systems of Equations and Inequalities	259	(78)
Solving Systems of Linear Equations in Two Variables	261	(16)
Solving Systems of Linear Equations in Three Variables	277	(6)
Systems of Linear Equations and Problem Solving	283	(16)
Systems of Linear Equations	297	(2)
Solving Systems of Equations Using Matrices	299	(6)
Solving Systems of Equations Using Determinants	305	(8)
Systems of Linear Inequalities	313	(24)
Locating Lighting Strikes	321	(1)
Highlights	322	(7)
Review	329	(4)
Test	333	(2)
Cumulative Review	335	(2)
Polynomials and Polynomial Functions	337	(102)
Adding and Subtracting Polynomials	339	(12)
Multiplying Polynomials	351	(10)
Dividing Polynomials	361	(10)
The Greatest Common Factor and Factoring by Grouping	371	(8)
Factoring Trinomials	379	(10)
Factoring by Special Products	389	(10)
Operations on Polynomials and Factoring Strategies	397	(2)
Solving Equations by Factoring and Solving Problems	399	(10)
An Introduction to Graphing Polynomial Functions	409	(30)
Finding the Largest Area	423	(1)
Highlights	424	(3)
Review	427	(8)
Test	435	(2)
Cumulative Review	437	(2)
Rational Expressions	439	(78)
Multiplying and Dividing Rational Expressions	441	(12)
Adding and Subtracting Rational Expressions	453	(10)
Simplifying Complex Fractions	463	(6)
Solving Equations Containing Rational Expressions	469	(10)
Expressions and Equations Containing Rational Expressions	477	(2)
Rational Equations and Problem Solving	479	(12)
Variation and Problem Solving	491	(26)
Estimating Population Sizes	502	(2)
Highlights	504	(3)
Review	507	(6)
Test	513	(2)
Cumulative Review	515	(2)
Rational Exponents, Radicals, and Complex Numbers	517	(80)
Radical Expressions	519	(8)
Rational Exponents	527	(8)
Simplifying Radical Expressions	535	(8)
Adding, Subtracting, and Multiplying Radical Expressions	543	(8)
Rationalizing Numerators and Denominators of Radical Expressions	551	(10)
Radicals and Rational Exponents	559	(2)
Radical Equations and Problem Solving	561	(12)
Complex Numbers	573	(24)
Calculating the Length and Period of a Pendulum	583	(1)
Highlights	584	(3)
Review	587	(6)
Test	593	(2)
Cumulative Review	595	(2)
Quadratic Equations and Functions	597	(86)
Solving Quadratic Equations by Completing the Square	599	(14)
Solving Quadratic Equations by the Quadratic Formula	613	(12)
Solving Equations by Using Quadratic Methods	625	(14)
Summary on Solving Quadratic Equations	637	(2)
Nonlinear Inequalities in One Variable	639	(6)
Quadratic Functions and Their Graphs	645	(14)
Further Graphing of Quadratic Functions	659	(24)
Recognizing Linear and Quadratic Models	671	(1)
Highlights	672	(3)
Review	675	(4)
Test	679	(2)
Cumulative Review	681	(2)
Conic Sections	683	(64)
The Parabola and the Circle	685	(14)
The Ellipse and the Hyperbola	699	(12)
Graphing Conic Sections	709	(2)
Graphing Nonlinear Functions	711	(6)
Solving Nonlinear Systems of Equations	717	(8)
Nonlinear Inequalities and Systems of Inequalities	725	(22)
Modeling Conic Sections	733	(1)
Highlights	734	(3)
Review	737	(6)
Test	743	(2)
Cumulative Review	745	(2)
Exponential and Logarithmic Functions	747
The Algebra of Functions	749	(6)
Inverse Functions	755	(10)
Exponential Functions	765	(10)
Logarithmic Functions	775	(8)
Properties of Logarithms	783	(8)
Functions and Properties of Logarithms	789	(2)
Common Logarithms, Natural Logarithms, and Changes of Base	791	(14)
Exponential and Logarithmic Equations and Problem Solving	805
Modeling Temperature	807	(1)
Highlights	808	(3)
Review	811	(6)
Test	817	(2)
Cumulative Review	819
Appendices	A-1	(8)
Answers to Selected Exercises	A-9	(46)
Solutions to Selected Exercises	A-55
Index	I-1	(1)
Photo Credits	P-1