Prealgebra and Introductory Algebra

by Bittinger, Marvin L.; Ellenbogen, David J.

• ISBN13: 9780321227454
• ISBN10: 032122745X
• Edition: 2nd
• Format: Paperback
• Copyright: 2008-01-01
• Publisher: Addison Wesley

Summary

KEY MESSAGE: Building on its reputation for accurate content and a unified system of instruction, the Second Edition of Bittinger/Ellenbogen's Prealgebra and Introductory Algebra paperback integrates success-building study tools, innovative pedagogy, and a comprehensive instructional support package with time-tested teaching techniques. Whole Numbers, Introduction to Integers and Algebraic Expressions, Fractional Notation: Multiplication and Division, Fractional Notation: Addition and Subtraction, Decimal Notation, Percent Notation, Data: Graphs, and Statistics, Geometry, Real Numbers and Algebraic Expressions, Solving Equations and Inequalities, Graphs of Linear Equations, Polynomials: Operations, Polynomials: Factoring, Rational Expressions and Equations, Systems of Equations, Radical Expressions and Equations, Quadratic Equations MARKET: For all readers interested in Algebra.

Table of Contents

Whole Numbers
Pretest	2	(1)
Standard Notation	3	(8)
Addition	11	(10)
Subtraction	21	(9)
Rounding and Estimating; Order	30	(10)
Multiplication and Area	40	(12)
Division	52	(14)
Solving Equations	66	(6)
Applications and Problem Solving	72	(16)
Exponential Notation and Order of Operations	88	(17)
Summary and Review	97	(3)
Test	100	(4)
Introduction to Integers and Algebraic Expressions
Pretest	104	(1)
Integers and the Number Line	105	(8)
Addition of Integers	113	(6)
Subtraction of Integers	119	(8)
Multiplication of Integers	127	(6)
Division of Integers	133	(6)
Introduction to Algebra and Expressions	139	(8)
Like Terms and Perimeter	147	(8)
Solving Equations	155	(18)
Summary and Review	163	(3)
Test	166	(2)
Cumulative Review: Chapters 1--2	168	(4)
Fraction Notation: Multiplication and Division
Pretest	172	(1)
Multiples and Divisibility	173	(7)
Factorizations	180	(6)
Fractions and Fraction Notation	186	(11)
Multiplication of Fractions	197	(7)
Simplifying	204	(8)
Multiplying, Simplifying, and More with Area	212	(10)
Reciprocals and Division	222	(5)
Solving Equations: The Multiplication Principle	227	(18)
Summary and Review	235	(3)
Test	238	(2)
Cumulative Review: Chapters 1--3	240	(4)
Fraction Notation: Addition and Subtraction
Pretest	244	(1)
Least Common Multiples	245	(8)
Addition, Order, and Applications	253	(11)
Subtraction, Equations, and Applications	264	(9)
Solving Equations: Using the Principles Together	273	(7)
Mixed Numerals	280	(6)
Addition and Subtraction of Mixed Numerals; Applications	286	(13)
Multiplication and Division of Mixed Numerals; Applications	299	(24)
Summary and Review	312	(4)
Test	316	(2)
Cumulative Review: Chapters 1--4	318	(4)
Decimal Notation
Pretest	322	(1)
Decimal Notation	323	(10)
Addition and Subtraction of Decimals	333	(8)
Multiplication of Decimals	341	(9)
Division of Decimals	350	(10)
More with Fraction Notation and Decimal Notation	360	(10)
Estimating	370	(6)
Solving Equations	376	(6)
Applications and Problem Solving	382	(23)
Summary and Review	394	(3)
Test	397	(3)
Cumulative Review: Chapters 1--5	400	(4)
Percent Notation
Pretest	404	(1)
Ratio and Proportion	405	(14)
Percent Notation	419	(7)
Percent and Fraction Notation	426	(9)
Solving Percent Problems Using Percent Equations	435	(7)
Solving Percent Problems Using Proportions	442	(6)
Applications of Percent	448	(13)
Sales Tax, Commission, Discount, and Interest	461	(13)
Interest Rates on Credit Cards and Loans	474	(19)
Summary and Review	483	(4)
Test	487	(5)
Data, Graphs, and Statistics
Pretest	492	(1)
Averages, Medians, and Modes	493	(11)
Tables and Pictographs	504	(9)
Bar Graphs and Line Graphs	513	(11)
Circle Graphs	524	(17)
Summary and Review	530	(4)
Test	534	(6)
Geometry
Pretest	540	(1)
Basic Geometric Figures	541	(12)
Perimeter	553	(5)
Area	558	(11)
Circles	569	(9)
Volume and Surface Area	578	(11)
Relationships Between Angle Measures	589	(10)
Congruent Triangles and Properties of Parallelograms	599	(12)
Similar Triangles	611	(18)
Summary and Review	617	(5)
Test	622	(6)
Introduction to Real Numbers and Algebraic Expressions
Pretest	628	(1)
Introduction to Algebra	629	(9)
The Real Numbers	638	(12)
Addition of Real Numbers	650	(8)
Subtraction of Real Numbers	658	(8)
Multiplication of Real Numbers	666	(7)
Division of Real Numbers	673	(9)
Properties of Real Numbers	682	(13)
Simplifying Expressions; Order of Operations	695	(18)
Summary and Review	705	(3)
Test	708	(4)
Solving Equations and Inequalities
Pretest	712	(1)
Solving Equations: The Addition Principle	713	(6)
Solving Equations: The Multiplication Principle	719	(6)
Using the Principles Together	725	(12)
Formulas	737	(8)
Applications of Percent	745	(8)
Applications and Problem Solving	753	(15)
Solving Inequalities	768	(12)
Applications and Problem Solving with Inequalities	780	(17)
Summary and Review	789	(3)
Test	792	(4)
Graphs of Linear Equations
Pretest	796	(1)
Graphs and Applications	797	(9)
Graphing Linear Equations	806	(17)
More with Graphing and Intercepts	823	(11)
Slope and Applications	834	(25)
Summary and Review	847	(5)
Test	852	(6)
Polynomials: Operations
Pretest	858	(1)
Integers as Exponents	859	(10)
Exponents and Scientific Notation	869	(13)
Introduction to Polynomials	882	(14)
Addition and Subtraction of Polynomials	896	(8)
Multiplication of Polynomials	904	(7)
Special Products	911	(10)
Operations with Polynomials in Several Variables	921	(9)
Division of Polynomials	930	(15)
Summary and Review	937	(3)
Test	940	(4)
Polynomials: Factoring
Pretest	944	(1)
Introduction to Factoring	945	(6)
Factoring Trinomials of the Type x2 + bx + c	951	(10)
Factoring ax2 + bx + c, a ≠ 1: The Foil Method	961	(9)
Factoring ax2 + bx + c, a ≠ 1: The ac-Method	970	(6)
Factoring Trinomial Squares and Differences of Squares	976	(10)
Factoring: A General Strategy	986	(8)
Solving Quadratic Equations by Factoring	994	(9)
Applications of Quadratic Equations	1003	(20)
Summary and Review	1015	(3)
Test	1018	(4)
Rational Expressions and Equations
Pretest	1022	(1)
Multiplying and Simplifying Rational Expressions	1023	(11)
Division and Reciprocals	1034	(5)
Least Common Multiples and Denominators	1039	(4)
Adding Rational Expressions	1043	(8)
Subtracting Rational Expressions	1051	(8)
Solving Rational Equations	1059	(10)
Applications Using Rational Equations and Proportions	1069	(15)
Complex Rational Expressions	1084	(15)
Summary and Review	1091	(3)
Test	1094	(4)
Graphs, Slope, and Applications
Pretest	1098	(1)
The Slope-Intercept Equation	1099	(7)
Graphing Using the Slope and the y-Intercept	1106	(7)
Parallel and Perpendicular Lines	1113	(5)
Graphing Inequalities in Two Variables	1118	(7)
Direct and Inverse Variation	1125	(20)
Summary and Review	1137	(3)
Test	1140	(4)
Systems of Equations
Pretest	1144	(1)
Systems of Equations in Two Variables	1145	(7)
The Substitution Method	1152	(7)
The Elimination Method	1159	(10)
Applications and Problem Solving	1169	(13)
Applications with Motion	1182	(15)
Summary and Review	1189	(3)
Test	1192	(4)
Radical Expressions and Equations
Pretest	1196	(1)
Introduction to Radical Expressions	1197	(8)
Multiplying and Simplifying with Radical Expressions	1205	(8)
Quotients Involving Radical Expressions	1213	(8)
Addition, Subtraction, and More Multiplication	1221	(8)
Radical Equations	1229	(10)
Applications with Right Triangles	1239	(14)
Summary and Review	1245	(3)
Test	1248	(4)
Quadratic Equations
Pretest	1252	(1)
Introduction to Quadratic Equations	1253	(9)
Solving Quadratic Equations by Completing the Square	1262	(9)
The Quadratic Formula	1271	(7)
Formulas	1278	(6)
Applications and Problem Solving	1284	(7)
Graphs of Quadratic Equations	1291	(7)
Functions	1298	(18)
Summary and Review	1309	(3)
Test	1312	(4)
A APPENDIXES
A Linear Measures: American and Metric Units	1316	(14)
B Weight and Mass; Medical Applications	1330	(7)
C Capacity; Medical Applications	1337	(5)
D Time and Temperature	1342	(5)
E Sets	1347	(4)
F Factoring Sums or Differences of Cubes	1351	(4)
G Equations Involving Absolute Value	1355	(3)
H The Distance Formula and Midpoints	1358	(4)
I Higher Roots, and Rational Numbers as Exponents	1362	(9)
J Nonlinear Inequalities	1371	(6)
K Systems of Linear Inequalities	1377	(6)
L Probability	1383	(6)
M Applying Reasoning Skills	1389	(6)
N Multistep Applied Problems	1395	(4)
O TASP Practice Test	1399	(8)
P TASP Test Mathematics Skills	1407
Answers	1	(1)
Index	1	(12)
Photo Credits	13	(2)
Index of Applications	15	(5)
Index of Study Tips	20