Intermediate Algebra Book

	Preface	vi
	To the Student	xvii
	Learning Styles Inventory	xxiii
Chapter 1	Real Numbers and Expressions	1
1.1	Sets and the Structure of Algebra	2
1.2	Operations with Real Numbers; Properties of Real Numbers	12
1.3	Exponents, Roots, and Order of Operations	24
1.4	Evaluating and Rewriting Expressions	35
	Summary	46
	Review Exercises	50
	Practice Test	54
Chapter 2	Linear Equations and Inequalities in One Variable	55
2.1	Linear Equations and Formulas	56
2.2	Solving Problems	66
2.3	Solving Linear Inequalities	82
2.4	Compound Inequalities	94
2.5	Equations Involving Absolute Value	108
2.6	Inequalities Involving Absolute Value	113
	Summary	121
	Review Exercises	127
	Practice Test	132
Chapter 3	Equations and Inequalities in Two Variables and Functions	135
3.1	Graphing Linear Equations	136
3.2	The Slope of a Line	150
3.3	The Equation of a Line	165
3.4	Graphing Linear Inequalities	179
3.5	Introduction to Functions and Function Notation	188
	Summary	206
	Review Exercises	212
	Practice Test	217
	Chapters 1-3 Cumulative Review Exercises	219
Chapter 4	Systems of Linear Equations and Inequalities	223
4.1	Solving Systems of Linear Equations in Two Variables	224
4.2	Solving Systems of Linear Equations in Three Variables	244
4.3	Solving Applications Using Systems of Equations	252
4.4	Solving Systems of Linear Equations Using Matrices	267
4.5	Solving Systems of Linear Equations Using Cramer's Rule	278
4.6	Solving Systems of Linear Inequalities	288
	Summary	297
	Review Exercises	303
	Practice Test	307
Chapter 5	Polynomials	309
5.1	Exponents and Scientific Notation	310
5.2	Polynomials and Polynomial Functions	325
5.3	Multiplying Polynomials	341
5.4	Dividing Polynomials	353
5.5	Synthetic Division and the Remainder Theorem	363
	Summary	370
	Review Exercises	375
	Practice Test	380
Chapter 6	Factoring	383
6.1	Greatest Common Factor and Factoring by Grouping	384
6.2	Factoring Trinomials	394
6.3	Factoring Special Products and Factoring Strategies	406
6.4	Solving Equations by Factoring	417
	Summary	433
	Review Exercises	438
	Practice Test	442
	Chapters 1-6 Cumulative Review Exercises	443
Chapter 7	Rational Expressions and Equations	447
7.1	Simplifying, Multiplying, and Dividing Rational Expressions	448
7.2	Adding and Subtracting Rational Expressions	465
7.3	Simplifying Complex Rational Expressions	478
7.4	Solving Equations Containing Rational Expressions	489
7.5	Applications with Rational Expressions; Variation	500
	Summary	518
	Review Exercises	525
	Practice Test	530
Chapter 8	Rational Exponents, Radicals, and Complex Numbers	533
8.1	Radical Expressions and Functions	534
8.2	Rational Exponents	546
8.3	Multiplying, Dividing, and Simplifying Radicals	558
8.4	Adding, Subtracting, and Multiplying Radical Expressions	567
8.5	Rationalizing Numerators and Denominators of Radical Expressions	576
8.6	Radical Equations and Problem Solving	588
8.7	Complex Numbers	599
	Summary	607
	Review Exercises	613
	Practice Test	619
Chapter 9	Quadratic Equations	621
9.1	Completing the Square	622
9.2	Solving Quadratic Equations Using the Quadratic Formula	635
9.3	Solving Equations That Are Quadratic in Form	647
9.4	Graphing Quadratic Functions	658
9.5	Solving Nonlinear Inequalities	673
	Summary	687
	Review Exercises	692
	Practice Test	696
	Chapters 1-9 Cumulative Review Exercises	698
Chapter 10	Exponential and Logarithmic Functions	703
10.1	Composite and Inverse Functions	704
10.2	Exponential Functions	718
10.3	Logarithmic Functions	730
10.4	Properties of Logarithms	740
10.5	Common and Natural Logarithms	749
10.6	Exponential and Logarithmic Equations with Applications	756
	Summary	770
	Review Exercises	779
	Practice Test	785
Chapter 11	Conic Sections	787
11.1	The Parabola and Circle	788
11.2	Ellipses and Hyperbolas	802
11.3	Nonlinear Systems of Equations	816
11.4	Nonlinear Inequalities and Systems of Inequalities	823
	Summary	831
	Review Exercises	838
	Practice Test	843
	Chapters 1-11 Cumulative Review Exercises	845
Appendix A	Arithmetic Sequences and Series	1
Appendix B	Geometric Sequences and Series	11
Appendix C	The Binomial Theorem	21
Appendix D	Permutations and Combinations	27
Appendix E	Probability	33
	Answers (Student edition only)	1
	Glossary	1
	Index	1
	Applications Index	10
	Photograph Credits	14