Introductory and Intermediate Algebra

by Bittinger, Marvin L.; Beecher, Judith A.

• ISBN13: 9780201340204
• ISBN10: 0201340208
• Format: Paperback
• Copyright: 1999-10-01
• Publisher: Addison-Wesley

Summary

MathMax: The Bittinger System of Instruction offers a completely integrated package of four-color text, multimedia CD-ROM, interactive tutorial software, and videos that guide students successfully through developmental math with learning objectives keyed to the exposition, exercises, and examples, a hallmark five-step problem-solving process, and current, relevant applications and problems. This first edition, covers both introductory and intermediate algebra topics without the repetition of instruction necessary in two separate texts. It continues the MathMax approach with respect to design, art program, pedagogy, and supplements package. That unique approach, developed and refined over many years, helps students both learn and retain mathematical skills. This text will help today's students through the effective use of full color and updated applications. A comprehensive and well-integrated supplements package accompanies the text providing maximum support for instructors and students alike.

Table of Contents

Introduction to Real Numbers and Algebraic Expressions	1	(71)
Pretest	2	(1)
Introduction to Algebra	3	(6)
The Real Numbers	9	(10)
Improving Your Math Study Skills: Tips for Using This Textbook	16	(3)
Addition of Real Numbers	19	(6)
Subtraction of Real Numbers	25	(8)
Improving Your Math Study Skills: Getting Started in a Math Class	28	(5)
Multiplication of Real Numbers	33	(6)
Improving Your Math Study Skills: Classwork Before and During Class	36	(3)
Division of Real Numbers	39	(6)
Properties of Real Numbers	45	(12)
Simplifying Expressions; Order of Operations	57	(14)
Improving Your Math Study Skills: Learning Resources and Time Management	62	(5)
Summary and Review Exercises	67	(2)
Test	69	(2)
Solving Equations and Inequalities	71	(68)
Pretest	72	(1)
Solving Equations: The Addition Principle	73	(6)
Solving Equations: The Multiplication Principle	79	(6)
Using the Principles Together	85	(10)
Applications and Problem Solving	95	(12)
Improving Your Math Study Skills: Extra Tips on Problem Solving	102	(5)
Applications with Percents	107	(8)
Formulas	115	(4)
Solving Inequalities	119	(12)
Applications and Problem Solving with Inequalities	131	(8)
Summary and Review Exercises	135	(2)
Test	137	(2)
Graphs of Equations; Data Analysis	139	(54)
Pretest	140	(1)
Graphs and Applications	141	(10)
Improving Your Math Study Skills: Homework	146	(5)
Graphing Linear Equations	151	(14)
More with Graphing and Intercepts	165	(8)
Applications and Data Analysis with Graphs	173	(20)
Summary and Review Exercises	183	(4)
Test	187	(4)
Cumulative Review: Chapters 1-3	191	(2)
Polynomials: Operations	193	(82)
Pretest	194	(1)
Integers as Exponents	195	(12)
Improving Your Math Study Skills: Studying for Tests and Making the Most of Tutoring Sessions	202	(5)
Exponents and Scientific Notation	207	(10)
Introduction to Polynomials	217	(14)
Addition and Subtraction of Polynomials	231	(8)
Multiplication of Polynomials	239	(6)
Special Products	245	(10)
Operations with Polynomials in Several Variables	255	(8)
Division of Polynomials	263	(12)
Summary and Review Exercises	271	(2)
Test	273	(2)
Polynomials: Factoring	275	(66)
Pretest	276	(1)
Introduction to Factoring	277	(6)
Factoring Trinomials of the Type x2 + bx + c	283	(6)
Factoring ax2 + bx + c, a ≠ 1, Using FOIL	289	(8)
Improving Your Math Study Skills: Forming Math Study Groups	294	(3)
Factoring ax2 + bx + c, a ≠ 1, Using Grouping	297	(4)
Factoring Trinomial Squares and Differences of Squares	301	(10)
Improving Your Math Study Skills: A Checklist of Your Study Skills	306	(5)
Factoring Sums or Differences of Cubes	311	(4)
Factoring: A General Strategy	315	(8)
Solving Quadratic Equations by Factoring	323	(6)
Applications and Problem Solving	329	(12)
Summary and Review Exercises	337	(2)
Test	339	(2)
Rational Expressions and Equations	341	(84)
Pretest	342	(1)
Rational Expressions: Multiplying, Dividing, and Simplifying	343	(14)
Least Common Multiples and Denominators	357	(4)
Adding Rational Expressions	361	(8)
Subtracting Rational Expressions	369	(8)
Solving Rational Equations	377	(10)
Improving Your Math Study Skills: Are You Calculating or Solving?	382	(5)
Applications, Proportions, and Problem Solving	387	(12)
Formulas and Applications	399	(4)
Complex Rational Expressions	403	(6)
Variation and Applications	409	(16)
Summary and Review Exercises	419	(2)
Test	421	(2)
Cumulative Review: Chapters 1-6	423	(2)
Graphs, Functions, and Applications	425	(62)
Pretest	426	(1)
Functions and Graphs	427	(14)
Finding Domain and Range	441	(6)
Linear Functions: Graphs and Slope	447	(8)
More on Graphing Linear Equations	455	(10)
Finding Equations of Lines	465	(6)
Mathematical Modeling with Linear Functions	471	(16)
Improving Your Math Study Skill: Classwork During and After Class	476	(5)
Summary and Review Exercises	481	(2)
Test	483	(4)
Systems of Equations	487	(58)
Pretest	488	(1)
Systems of Equations in Two Variables	489	(8)
Solving by Substitution or Elimination	497	(14)
Improving Your Math Study Skills: Better Test Taking	506	(5)
Solving Applied Problems: Systems of Two Equations	511	(12)
Systems of Equations in Three Variables	523	(6)
Solving Applied Problems: Systems of Three Equations	529	(6)
Business and Economics Applications	535	(10)
Summary and Review Exercises	541	(2)
Test	543	(2)
More on Inequalities	545	(58)
Pretest	546	(1)
Sets, Interval Notation, and Inequalities	547	(14)
Intersections, Unions, and Compound Inequalities	561	(12)
Improving Your Math Study Skills: Study Tips for Trouble Spots	568	(5)
Absolute-Value Equations and Inequalities	573	(10)
Systems of Linear Inequalities in Two Variables	583	(20)
Summary and Review Exercises	595	(2)
Test	597	(2)
Cumulative Review: Chapters 1-9	599	(4)
Radical Expressions, Equations, and Functions	603	(68)
Pretest	604	(1)
Radical Expressions and Functions	605	(10)
Rational Numbers as Exponents	615	(6)
Simplifying Radical Expressions	621	(8)
Addition, Subtraction, and More Multiplication	629	(6)
More on Division of Radical Expressions	635	(6)
Improving Your Math Study Skills: On Reading and Writing Mathematics	638	(3)
Solving Radical Equations	641	(10)
Applications Involving Powers and Roots	651	(6)
The Complex Numbers	657	(14)
Summary and Review Exercises	667	(2)
Test	669	(2)
Quadratic Equations and Functions	671	(80)
Pretest	672	(1)
The Basics of Solving Quadratic Equations	673	(14)
The Quadratic Formula	687	(6)
Applications Involving Quadratic Equations	693	(10)
More on Quadratic Equations	703	(10)
Improving Your Math Study Skills: How Many Women Have Won the Ultimate Math Contest?	708	(5)
Graphs of Quadratic Functions of the Type f(x) = a(x - h)2 + k	713	(8)
Graphs of Quadratic Functions of the Type f(x) = ax2 + bx + c	721	(6)
Mathematical Modeling with Quadratic Functions	727	(12)
Polynomial and Rational Inequalities	739	(12)
Summary and Review Exercises	747	(2)
Test	749	(2)
Exponential and Logarithmic Functions	751
Pretest	752
Exponential Functions	753
Inverse and Composite Functions	765
Logarithmic Functions	781
Properties of Logarithmic Functions	791
Natural Logarithmic Functions	797
Solving Exponential and Logarithmic Equations	803
Mathematical Modeling with Exponential and Logarithmic Functions	809
Improving Your Math Study Skills: Preparing for a Final Exam	818
Summary and Review Exercises	823
Test	825
Cumulative Review: Chapters 1-12	827
Appendixes
A Handling Dimension Symbols	831
B Determinants and Cramer's Rule	834
C Elimination Using Matrices	839
D The Algebra of Functions	844
E Introductory Algebra Review	847
Answers	A-1
Index	I-1