Intermediate Algebra : A Graphing Approach

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

• ISBN13: 9780130166333
• ISBN10: 0130166332
• Edition: 2nd
• Format: Hardcover
• Copyright: 2001-01-01
• Publisher: PRENTICE HALL

Summary

For a graphing utility dependent course in Intermediate Algebra. This text provides a solid foundation in algebra with the exceptional pedagogy, clear and well-constructed writing style, and superb problem-solving strategies. This text features incorporation of AMATYC and NCTM standardsreflected in an increased emphasis on visualization graphing, and data analysis. This text is a part of the 2001 Elayn Martin-Gay hardcover series.

Table of Contents

Preface	xi
Real Numbers, Algebraic Expressions, and Equations	2	(102)
Tips for Success in Mathematics	4	(4)
Algebraic Expressions and Sets of Numbers	8	(11)
Operations on Real Numbers	19	(12)
Properties of Real Numbers	31	(10)
Solving Linear Equations Algebraically	41	(8)
An Introduction to Problem Solving	49	(10)
A Numerical Approach: Modeling with Tables	59	(12)
Formulas and Problem Solving	71	(10)
Interpreting Data and Reading Bar, Line, and Circle Graphs	81	(23)
Analyzing Newspaper Circulation	89	(1)
Vocabulary Check	90	(1)
Highlights	91	(5)
Review	96	(5)
Test	101	(3)
Graphs and Functions	104	(90)
Introduction to Graphing	106	(17)
Introduction to Functions	123	(16)
Graphing Linear Functions	139	(10)
The Slope of a Line	149	(15)
Equations of Lines	164	(10)
Interpreting Data: Linear Models	174	(20)
Modeling Real Data	181	(1)
Vocabulary Check	182	(1)
Highlights	183	(5)
Review	188	(3)
Test	191	(1)
Cumulative Review	192	(2)
Equations and Inequalities	194	(60)
Solving Linear Equations Graphically	196	(8)
Linear Inequalities and Problem Solving	204	(14)
Compound Inequalities	218	(8)
Absolute Value Equations	226	(6)
Absolute Value Inequalities	232	(7)
Graphing Linear Inequalities in Two Variables	239	(15)
Analyzing Municipal Budgets	245	(2)
Vocabulary Check	247	(1)
Highlights	247	(4)
Review	251	(1)
Test	252	(1)
Cumulative Review	252	(2)
Systems of Equations	254	(56)
Solving Systems of Linear Equations in Two Variables	256	(13)
Solving Systems of Linear Equations in Three Variables	269	(5)
Systems of Linear Equations and Problem Solving	274	(10)
Solving Systems of Equations by Matrices	284	(7)
Solving Systems of Equations by Determinants	291	(19)
Locating Lightning Strikes	299	(1)
Vocabulary Check	300	(1)
Highlights	301	(5)
Review	306	(1)
Test	307	(1)
Cumulative Review	308	(2)
Exponents, Polynomials, and Polynomial Functions	310	(76)
Exponents and Scientific Notation	312	(8)
More Work with Exponents and Scientific Notation	320	(7)
Polynomials and Polynomial Functions	327	(11)
Multiplying Polynomials	338	(8)
The Greatest Common Factor and Factoring by Grouping	346	(5)
Factoring Trinomials	351	(8)
Factoring by Special Products and Factoring Strategies	359	(8)
Solving Equations by Factoring and Problem Solving	367	(19)
Investigating Earth's Water	378	(1)
Vocabulary Check	379	(1)
Highlights	379	(3)
Review	382	(2)
Test	384	(1)
Cumulative Review	385	(1)
Rational Expressions	386	(72)
Rational Functions and Multiplying and Dividing Rational Expressions	388	(10)
Adding and Subtracting Rational Expressions	398	(7)
Simplifying Complex Fractions	405	(6)
Dividing Polynomials	411	(6)
Synthetic Division and the Remainder Theorem	417	(4)
Solving Equations Containing Rational Expressions	421	(7)
Rational Equations and Problem Solving	428	(10)
Variation and Problem Solving	438	(20)
Modeling Electricity Production	447	(1)
Vocabulary Check	448	(1)
Highlights	448	(4)
Review	452	(3)
Test	455	(1)
Cumulative Review	456	(2)
Rational Exponents, Radicals, and Complex Numbers	458	(56)
Radicals and Radical Functions	460	(7)
Rational Exponents	467	(7)
Simplifying Radical Expression	474	(5)
Adding, Subtracting, and Multiplying Radical Expressions	479	(4)
Rationalizing Denominators and Numerators of Radical Expressions	483	(6)
Radical Equations and Problem Solving	489	(9)
Complex Numbers	498	(16)
Calculating the Length and Period of a Pendulum	505	(1)
Vocabulary Check	506	(1)
Highlights	507	(3)
Review	510	(2)
Test	512	(1)
Cumulative Review	513	(1)
Quadratic Equations and Functions	514	(70)
Solving Quadratic Equations by Completing the Square	516	(10)
Solving Quadratic Equations by the Quadratic Formula	526	(10)
Solving Equations by Using Quadratic Methods	536	(8)
Nonlinear Inequalities in One Variable	544	(8)
Quadratic Functions and Their Graphs	552	(8)
Further Graphing of Quadratic Functions	560	(8)
Interpreting Data: Linear and Quadratic Models	568	(16)
Fitting a Quadratic Model to Data	575	(1)
Vocabulary Check	576	(1)
Highlights	576	(4)
Review	580	(2)
Test	582	(1)
Cumulative Review	583	(1)
Exponential and Logarithmic Functions	584	(64)
The Algebra of Functions; Composite Functions	586	(5)
Inverse Functions	591	(11)
Exponential Functions	602	(9)
Logarithmic Functions	611	(7)
Properties of Logarithms	618	(6)
Common Logarithms, Natural Logarithms, and Change of Base	624	(5)
Exponential and Logarithmic Equations and Applications	629	(19)
Modeling Temperature	636	(2)
Vocabulary Check	638	(3)
Highlights	641	(4)
Review	645
Test	582	(64)
Cumulative Review	646	(2)
Conic Sections	648	(40)
The Parabola and the Circle	650	(10)
The Ellipse and the Hyperbola	660	(8)
Solving Nonlinear Systems of Equations	668	(5)
Nonlinear Inequalities and Systems of Inequalities	673	(15)
Modeling Conic Sections	678	(1)
Vocabulary Check	679	(1)
Highlights	680	(3)
Review	683	(2)
Test	685	(1)
Cumulative Review	686	(2)
Sequences, Series, and the Binomial Theorem	688	(37)
Sequences	690	(4)
Arithmetic and Geometric Sequences	694	(7)
Series	701	(5)
Partial Sums of Arithmetic and Geometric Sequences	706	(7)
The Binomial Theorem	713	(12)
Modeling College Tuition	718	(1)
Vocabulary Check	719	(1)
Highlights	719	(2)
Review	721	(2)
Test	723	(1)
Cumulative Review	724	(1)
APPENDICES	725
A. Review of Angles, Lines, and Special Triangles	725
B. Review of Geometric Figures	733
C. Review of Volume and Surface Area	737
D. Using a Graphing Utility	743
Answers to Selected Exercises	A-1
Index	I-1
Photo Credits	P-1