Intermediate Algebra: Math 112

by Martin-Gay, K. Elayn; Greene, Margaret

• ISBN13: 9780536603562
• ISBN10: 0536603561
• Edition: CUSTOM
• Format: Paperback
• Copyright: 2000-01-01
• Publisher: Pearson Custom Pub

Summary

This popular, pedagogically rich mainstream text in intermediate algebra was one of the first on the market to introduce functions early (in Chapter 2). Graphing of linear systems is also introduced early in the text, and the optional use of graphing calculators is now integrated throughout.

Table of Contents

Preface	ix
Review of Real Numbers and Algebraic Expressions	1	(46)
Real Numbers	2	(7)
Properties of Real Numbers	9	(9)
Operations on Real Numbers	18	(10)
Order of Operations and Algebraic Expressions	28	(19)
Group Activity: Analyzing Newspaper Circulation	39	(1)
Highlights	40	(3)
Review	43	(2)
Test	45	(2)
Basic Concepts of Algebra	47	(60)
Solving Linear Equations Algebraically	48	(10)
An Introduction to Problem Solving	58	(8)
A Numerical Approach: Modeling with Tables	66	(10)
Formulas and Problem Solving	76	(11)
Interpreting Data and Reading Bar, Line, and Circle Graphs	87	(20)
Group Activity: Comparison of Volumes	97	(1)
Highlights	98	(3)
Review	101	(3)
Test	104	(1)
Cumulative Review	105	(2)
Introduction to Graphs and Functions	107	(94)
Introduction to Graphing and Graphing Utilities	108	(11)
Graphing Equations	119	(13)
Introduction to Functions	132	(14)
Graphing Linear Functions	146	(11)
The Slope of a Line	157	(13)
Equations of Lines	170	(10)
Solving Linear Equations Graphically	180	(21)
Group Activity: Modeling Japanese Automobile Imports	189	(1)
Highlights	190	(5)
Review	195	(3)
Test	198	(2)
Cumulative Review	200	(1)
Inequalities and Absolute Value	201	(46)
Solving Linear Inequalities Algebraically and Graphically	202	(11)
Compound Inequalities	213	(6)
Absolute Value Equations	219	(7)
Absolute Value Inequalities	226	(6)
Graphing Linear Inequalities in Two Variables	232	(15)
Group Activity: Analyzing Municipal Budgets	239	(1)
Highlights	240	(4)
Review	244	(1)
Test	245	(1)
Cumulative Review	245	(2)
Systems of Equations	247	(58)
Solving Systems of Linear Equations in Two Variables	248	(13)
Solving Systems of Linear Equations in Three Variables	261	(7)
Systems of Linear Equations and Problem Solving	268	(10)
Solving Systems of Equations by Matrices	278	(7)
Solving Systems of Equations by Determinants	285	(20)
Group Activity: Locating Lightning Strikes	295	(1)
Highlights	296	(5)
Review	301	(2)
Test	303	(1)
Cumulative Review	304	(1)
Exponents, Polynomials, and Polynomial Functions	305	(76)
Exponents and Scientific Notation	306	(9)
More Work with Exponents and Scientific Notation	315	(6)
Polynomials and Polynomial Functions	321	(12)
Multiplying Polynomials	333	(8)
The Greatest Common Factor and Factoring by Grouping	341	(5)
Factoring Trinomials	346	(9)
Factoring by Special Products and Factoring Strategies	355	(8)
Solving Polynomial Equations Algebraically and Graphically	363	(18)
Group Activity: Finding the Largest Area	373	(1)
Highlights	374	(2)
Review	376	(3)
Test	379	(1)
Cumulative Review	379	(2)
Rational Expressions	381	(80)
Rational Functions and Simplifying Rational Expressions	382	(9)
Multiplying and Dividing Rational Expressions	391	(9)
Adding and Subtracting Rational Expressions	400	(9)
Simplifying Complex Fractions	409	(6)
Dividing Polynomials	415	(6)
Synthetic Division	421	(4)
Solving Equations Containing Rational Expressions	425	(7)
Rational Equations and Problem Solving	432	(9)
Variation and Problem Solving	441	(20)
Group Activity: Modeling Electricity Production	449	(1)
Highlights	450	(5)
Review	455	(3)
Test	458	(1)
Cumulative Review	459	(2)
Rational Exponents, Radicals, and Complex Numbers	461	(56)
Radicals and Radical Functions	462	(7)
Rational Exponents	469	(6)
Simplifying Radical Expressions	475	(6)
Adding, Subtracting, and Multiplying Radical Expressions	481	(4)
Rationalizing Numerators and Denominators of Radical Expressions	485	(5)
Radical Equations and Problem Solving	490	(10)
Complex Numbers	500	(17)
Group Activity: Calculating the Length and Period of a Pendulum	507	(1)
Highlights	508	(4)
Review	512	(2)
Test	514	(1)
Cumulative Review	515	(2)
Quadratic Equations and Functions	517	(68)
Solving Quadratic Equations by Completing the Square	518	(9)
Solving Quadratic Equations by the Quadratic Formula	527	(11)
Solving Equations y Using Quadratic Methods	538	(6)
Nonlinear Inequalities in One Variable	544	(8)
Quadratic Functions and Their Graphs	552	(8)
Further Graphing of Quadratic Functions	560	(5)
Interpreting Data: Recognizing Linear and Quadratic Models	565	(20)
Group Activity: Modeling the Position of a Freely Falling Object	575	(2)
Highlights	577	(3)
Review	580	(2)
Test	582	(1)
Cumulative Review	583	(2)
Conic Sections	585	(38)
The Parabola and the Circle	586	(9)
The Ellipse and the Hyperbola	595	(9)
Solving Nonlinear Systems of Equations	604	(5)
Nonlinear Inequalities and Systems of Inequalities	609	(14)
Group Activity: Modeling Conic Sections	615	(1)
Highlights	616	(3)
Review	619	(1)
Test	620	(1)
Cumulative Review	621	(2)
Exponential and Logarithmic Functions	623	(56)
Composite and Inverse Functions	624	(11)
Exponential Functions	635	(8)
Logarithmic Functions	643	(6)
Properties of Logarithms	649	(6)
Common Logarithms, Natural Logarithms, and Change of Base	655	(6)
Exponential and Logarithmic Equations and Problem Solving	661	(18)
Group Activity: Modeling Temperature	668	(1)
Highlights	669	(2)
Review	671	(3)
Test	674	(2)
Cumulative Review	676	(3)
Sequences, Series, and the Binomial Theorem	679
Sequences	680	(4)
Arithmetic and Geometric Sequences	684	(8)
Series	692	(5)
Partial Sums of Arithmetic and Geometric Sequences	697	(8)
The Binomial Theorem	705
Group Activity: Modeling College Tuition	710	(1)
Highlights	710	(2)
Review	712	(3)
Test	715	(1)
Cumulative Review	716
Appendices	1
A. Review of Angles, Lines, and Special Triangles	1
B. Review of Geometric Figures	10
C. Using a Graphing Utility	13
D. Answers to Selected Exercises	22
Index	I-1
Photo Credits	P-1