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Tables of Contents for Intermediate Algebra
Chapter/Section Title
Page #
Page Count
To the Student
ix
Review of the Real Number System
Basic Terms
1
10
Operations on Real Numbers
11
11
Properties of Real Numbers
22
9
Test
28
3
Linear Equations and Inequalities
Linear Equations in One Variable
31
10
Formulas
41
5
Applications of Linear Equations
46
7
More Applications of Linear Equations
53
4
Linear Inequalities in One Variable
57
8
Set Operations and Compound Inequalities
65
5
Absolute Value Equations and Inequalities
70
11
Test
78
3
Graphs, Linear Equations, and Functions
The Rectangular Coordinate System
81
11
The Slope of a Line
92
10
Linear Equations in Two Variables
102
10
Linear Inequalities in Two Variables
112
7
Introduction to Functions
119
11
Variation
130
12
Test
137
5
System of Linear Equations
Linear Systems of Equations in Two Variables
142
12
Linear Systems of Equations in Three Variables
154
6
Applications of Linear Systems of Equations
160
6
Solving Linear Systems of Equations by Matrix Methods
166
7
Determinants and Cramer's Rule
173
12
Test
182
3
Exponents and Polynomials
Integer Exponents and Scientific Notation
185
12
Addition and Subtraction of Polynomials
197
7
Polynomial Functions
204
7
Multiplication of Polynomials
211
8
Greatest Common Factors; Factoring by Grouping
219
5
Factoring Trinomials
224
7
Special Factoring
231
5
General Methods of Factoring
236
5
Solving Equations by Factoring
241
12
Test
249
4
Rational Expressions
Rational Expressions and Functions: Multiplication and Division
253
9
Addition and Subtraction of Rational Expressions
262
6
Complex Fractions
268
5
Division of Polynomials
273
6
Synthetic Division
279
5
Graphs and Equations with Rational Expressions
284
7
Applications of Rational Expressions
291
12
Test
300
3
Roots and Radicals
Rational Exponents and Radicals
303
8
Simplifying Radical Expressions
311
9
Addition and Subtraction of Radical Expressions
320
4
Multiplication and Division of Radical Expressions
324
7
Graphs and Equations with Radical Expressions
331
12
Complex Numbers
343
12
Test
351
4
Quadratic Equations and Inequalities
Completing the Square
355
8
The Quadratic Formula
363
9
Equations Quadratic in Form
372
9
Formulas and Applications
381
7
Graphs of Quadratic Functions
388
10
More About Parabolas; Applications
398
10
Nonlinear Inequalities
408
10
Test
415
3
Inverse, Exponential, and Logarithmic Functions
Inverse Functions
418
7
Exponential Functions
425
8
Logarithmic Functions
433
7
Properties of Logarithms
440
5
Evaluating Logarithms
445
5
Exponential and Logarithmic Equations; Applications
450
15
Test
460
5
Conic Sections
The Circle and the Ellipse
465
9
The Hyperbola; More on Square Root Functions
474
8
Nonlinear Systems of Equations
482
8
Second-Degree Inequalities; Systems of Inequalities
490
9
Test
496
3
Sequences and Series
Sequences and Series
499
8
Arithmetic Sequences
507
9
Geometric Sequences
516
11
The Binomial Theorem
527
10
Test
534
3
Answers to Chapter Tests
537