Elementary and Intermediate Algebra: Concepts and Applications : A Combined Approach

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

• ISBN13: 9780201765595
• ISBN10: 0201765594
• Format: Hardcover
• Copyright: 1995-08-01
• Publisher: Pearson College Div

Table of Contents

Introduction to Algebra and Algebraic Expressions
Introduction to Algebra	2	(6)
The Commutative, Associative, and Distributive Laws	8	(6)
Fractional Notation	14	(8)
Positive and Negative Real Numbers	22	(8)
Addition of Real Numbers	30	(6)
Subtraction of Real Numbers	36	(6)
Multiplication and Division of Real Numbers	42	(7)
Exponential Notation and Order of Operations	49	(13)
Summary and Review	56	(2)
Test	58	(4)
Equations, Inequalities, and Problem Solving
Solving Equations	62	(6)
Using the Principles Together	68	(7)
Formulas	75	(5)
Applications with Percent	80	(4)
Problem Solving	84	(11)
Solving Inequalities	95	(8)
Problem Solving Using Inequalities	103	(11)
Summary and Review	107	(3)
Test	110	(4)
Introduction to Graphing
Ordered Pairs and Graphs	114	(8)
Graphing Linear Equations	122	(7)
More on Graphing Linear Equations	129	(6)
Graphs and Problem Solving	135	(10)
Summary and Review	142	(2)
Test	144	(1)
Cumulative Review: Chapters 1--3	145	(181)
Polynomials
Exponents and Their Properties	148	(6)
Poynomials	154	(8)
Addition and Subtraction of Polynomials	162	(7)
Multiplication of Polynomials	169	(6)
Special Products	175	(8)
Polynomials in Several Variables	183	(7)
Division of Polynomials	190	(5)
Synthetic Division	195	(4)
Negative Exponents and Scientific Notation	199	(15)
Summary and Review	207	(3)
Test	210	(4)
Polynomials and Factoring
Introduction to Factoring	214	(4)
Factoring Trinomials of the Type	218	(6)
Factoring Trinomials of the Type	224	(8)
Factoring Trinomial Squares and Differences of Squares	232	(7)
Factoring Sums and Differences of Cubes	239	(3)
Factoring: A General Strategy	242	(5)
Solving Quadratic Equations by Factoring	247	(7)
Problem Solving	254	(12)
Summary and Review	261	(2)
Test	263	(3)
Rational Expressions and Equations
Rational Expressions	266	(5)
Multiplication and Division	271	(5)
Addition and Subtraction	276	(5)
Least Common Multiples and Denominators	281	(6)
Addition and Subtraction with Unlike Denominators	287	(6)
Complex Rational Expressions	293	(7)
Solving Rational Equations	300	(6)
Problem Solving: Rational Equations and Proportions	306	(11)
Formulas and More Problem Solving	317	(9)
Summary and Review	322	(3)
Test	325	(1)
Cumulative Review: Chapters 1--6	326	(155)
Graphs and Functions
Slope	330	(8)
Slope-Intercept Form	338	(6)
Point-Slope Form	344	(6)
Functions	350	(9)
The Algebra of Functions	359	(8)
Variation and Problem Solving	367	(15)
Summary and Review	376	(3)
Test	379	(3)
Systems of Equations and Problem Solving
Systems of Equations in Two Variables	382	(9)
Solving by Substitution or Elimination	391	(6)
Problem Solving Using Systems of Two Equations in Two Variables	397	(10)
Systems of Equations in Three Variables	407	(7)
Problem Solving Using Systems of Three Equations	414	(5)
Elimination Using Matrices	419	(4)
Determinants and Cramer's Rule	423	(5)
Business and Economic Applications	428	(12)
Summary and Review	433	(3)
Test	436	(4)
Inequalities and Linear Programming
Interval Notation and Problem Solving	440	(9)
Compound Inequalities	449	(7)
Absolute-Value Equations and Inequalities	456	(7)
Inequalities in Two Variables	463	(8)
Problem Solving Using Linear Programming	471	(10)
Summary and Review	477	(3)
Test	480	(1)
Cumulative Review: Chapters 1--9	481	(188)
Rational Exponents and Radicals
Radical Expressions	484	(7)
Rational Numbers as Exponents	491	(5)
Multiplying and Simplifying with Radical Expressions	496	(8)
Dividing and Simplifying Radical Expressions	504	(5)
Addition, Subtraction, and More Multiplication	509	(4)
Rationalizing Numerators and Denominators	513	(5)
Solving Radical Equations	518	(5)
Geometric Applications	523	(7)
The Complex Numbers	530	(16)
Summary and Review	538	(4)
Test	542	(4)
Quadratic Equations and Functions
Solving Quadratic Equations: The Principle of Square Roots	546	(3)
Solving Quadratic Equations: Completing the Square	549	(5)
The Quadratic Formula and Problem Solving	554	(8)
Rational Equations and Problem Solving	562	(6)
The Discriminant and Solutions to Quadratic Equations	568	(3)
Equations Reducible to Quadratic	571	(4)
Quadratic Functions and Their Graphs	575	(8)
More About Graphing Quadratic Functions	583	(5)
Problem Solving and Quadratic Functions	588	(10)
Polynomial and Rational Inequalities	598	(16)
Summary and Review	606	(4)
Test	610	(4)
Exponential and Logarithmic Functions
Exponential Functions	614	(8)
Composite and Inverse Functions	622	(11)
Logarithmic Functions	633	(5)
Properties of Logarithmic Functions	638	(6)
Common and Natural Logarithms	644	(7)
Solving Exponential and Logarithmic Equations	651	(4)
Applications of Exponential and Logarithmic Functions	655	(14)
Summary and Review	664	(3)
Test	667	(2)
Cumulative Review: Chapters 1--12	669	(97)
Conic Sections
The Distance and Midpoint Formulas	672	(4)
Conic Sections: Parabolas and Circles	676	(8)
Conic Sections: Ellipses and Hyperbolas	684	(13)
Nonlinear Systems of Equations	697	(13)
Summary and Review	706	(2)
Test	708	(2)
Sequences, Series, and Combinatorics
Sequences and Series	710	(6)
Arithmetic Sequences and Series	716	(8)
Geometric Sequences and Series	724	(8)
Combinatorics: Permutations	732	(9)
Combinatorics: Combinations	741	(6)
The Binomial Theorem	747	(6)
Probability	753	(13)
Summary and Review	762	(3)
Test	765	(1)
Cumulative Review: Chapters 1--14	766
Tables
Table 1 Powers, Roots, and Reciprocals	769
Table 2 Common Logarithms	770
Table 3 Geometric Formulas	772
Table 4 Fractional and Decimal Equivalents	773
Answers	A-1
Index	I-1