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Tables of Contents for Intermediate Algebra
Chapter/Section Title
Page #
Page Count
Preface
ix
An Introduction to Calculators
xvii
Review of the Real Number System
1
44
Basic Terms
2
13
Operations on Real Numbers
15
12
Properties of Real Numbers
27
18
Group Activity
35
2
Summary
37
3
Review Exercises
40
3
Test
43
2
Linear Equations and Inequalities
45
79
Linear Equations in One Variable
46
8
Formulas
54
8
Applications of Linear Equations
62
13
More Applications of Linear Equations
75
9
Linear Inequalities in One Variable
84
10
Set Operations and Compound Inequalities
94
8
Absolute Value Equations and Inequalities
102
22
Summary: Exercises on Solving Linear and Absolute Value Equations and Inequalities
110
1
Group Activity
111
1
Summary
112
4
Review Exercises
116
4
Test
120
2
Cumulative Review Exercises Chapters 1--2
122
2
Exponents and Polynomials
124
75
Integer Exponents and Scientific Notation
125
14
Addition and Subtraction of Polynomials
139
9
Multiplication of Polynomials
148
9
Greatest Common Factors; Factoring by Grouping
157
6
Factoring Trinomials
163
7
Special Factoring
170
6
General Methods of Factoring
176
4
Solving Equations by Factoring
180
19
Group Activity
186
2
Summary
188
3
Review Exercises
191
5
Test
196
1
Cumulative Review Exercises Chapters 1--3
197
2
Rational Expressions
199
65
Multiplication and Division of Rational Expressions
200
10
Addition and Subtraction of Rational Expressions
210
8
Complex Fractions
218
5
Division of Polynomials
223
6
Synthetic Division
229
5
Equations with Rational Expressions
234
6
Summary: Exercises on Operations and Equations with Rational Expressions
239
1
Applications of Rational Expressions
240
24
Group Activity
252
1
Summary
253
4
Review Exercises
257
4
Test
261
1
Cumulative Review Exercises Chapters 1-4
262
2
Roots and Radicals
264
63
Rational Exponents and Radicals
265
10
Simplifying Radical Expressions
275
9
Addition and Subtraction of Radical Expressions
284
6
Multiplication and Division of Radical Expressions
290
8
Equations with Radical Expression
298
8
Complex Numbers
306
21
Group Activity
315
1
Summary
316
4
Review Exercises
320
4
Test
324
1
Cumulative Review Exercises Chapters 1-5
325
2
Graphs, Linear Equations, and Functions
327
85
The Rectangular Coordinate System
328
13
The Slope of a Line
341
14
Linear Equations in Two Variables
355
14
Linear Inequalities in Two Variables
369
7
Introduction to Functions
376
15
Variation
391
21
Group Activity
400
1
Summary
401
3
Review Exercises
404
4
Test
408
2
Cumulative Review Exercises Chapters 1-6
410
2
Systems of Linear Equations
412
71
Linear Systems of Equations in Two Variables
413
12
Linear Systems of Equations in Three Variables
425
7
Applications of Linear Systems of Equations
432
15
Solving Linear Systems of Equations by Matrix Methods
447
10
Determinants and Cramer's Rule
457
26
Group Activity
469
1
Summary
470
5
Review Exercises
475
4
Test
479
2
Cumulative Review Exercises Chapters 1-7
481
2
Quadratic Equations and Inequalities
483
82
Completing the Square
484
8
The Quadratic Formula
492
11
Equations Quadratic in Form
503
9
Formulas and Applications
512
10
Graphs of Quadratic Functions
522
10
More about Parabolas; Applications
532
12
Nonlinear Inequalities
544
21
Group Activity
551
1
Summary
552
4
Review Exercises
556
5
Test
561
1
Cumulative Review Exercises Chapters 1-8
562
3
Inverse, Exponential, and Logarithmic Functions
565
68
Inverse Functions
566
10
Exponential Functions
576
10
Logarithmic Functions
586
8
Properties of Logarithms
594
8
Evaluating Logarithms
602
10
Exponential and Logarithmic Equations; Applications
612
21
Group Activity
620
1
Summary
621
4
Review Exercises
625
4
Test
629
2
Cumulative Review Exercises Chapters 1-9
631
2
Conic Sections
633
47
The Circle and the Ellipse
634
8
The Hyperbola and Square Root Functions
642
11
Nonlinear Systems of Equations
653
9
Second-Degree Inequalities; Systems of Inequalities
662
18
Group Activity
669
1
Summary
670
4
Review Exercises
674
2
Test
676
1
Cumulative Review Exercises Chapters 1-10
677
3
Sequences and Series
680
41
Sequences and Series
681
8
Arithmetic Sequences
689
7
Geometric Sequences
696
11
The Binomial Theorem
707
14
Group Activity
714
1
Summary
715
2
Review Exercises
717
3
Test
720
1
Cumulative Review Exercises Chapters 1-11
721
Answers to Selected Exercises
A-1
Index
I-1
Index of Applications
I-9