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Tables of Contents for Beginning and Intermediate Algegra
Chapter/Section Title
Page #
Page Count
To the Student
1
1
The Real Number System
Fractions
1
5
Exponents, Order of Operations, and Inequality
6
3
Variables, Expressons, and Equations
9
5
Real Numbers and the Number Line
14
4
Addition of Real Numbers
18
3
Subtraction of Real Numbers
21
4
Multiplication of Real Numbers
25
4
Division of Real Numbers
29
4
Properties of Addition and Multiplication
33
18
Review Exercises
37
10
Test
47
4
Linear Equations and Applications
Simplifying Expressions
51
3
The Addition and Multiplication Properties of Equality
54
6
More on Solving Linear Equations
60
6
An Introduction to Applications of Linear Equations
66
6
Formulas and Applications from Geometry
72
5
Ratios and Proportions
77
6
Applications of Percent: Mixture, Interest, and Money
83
6
More About Problem Solving
89
29
Review Exercises
94
15
Test
109
4
Cumulative Review (Chapters 1--2)
113
5
Linear Inequalities and Absolute Value
Linear Inequalities in One Variable
118
6
Set Operations and Compound Inequalities
124
5
Absolute Value Equations and Inequalities
129
23
Summary: Solving Linear and Absolute Value Equations and Inequalities
135
2
Review Exercises
137
8
Test
145
2
Cumulative Review (Chapters 1--3)
147
5
Polynomials and Exponents
Addition and Subtraction of Polynomials
152
4
The Product Rule and Power Rules for Exponents
156
3
Multiplication of Polynomials
159
4
Special Products
163
4
Integer Exponents and the Quotient Rule
167
2
The Quotient of a Polynomial and a Monomial
169
3
The Quotient of Two Polynomials
172
4
An Application of Exponents: Scientific Notation
176
21
Review Exercises
179
11
Test
190
2
Cumulative Review (Chapters 1--4)
192
5
Factorning and Applications
The Greatest Common Factor; Factoring by Grouping
197
5
Factoring Trinomials
202
12
More on Factoring Trinomials
208
6
Special Factorizations
214
9
Summary: Factoring
219
4
Solving Quadratic Equations by Factoring
223
7
Applications of Quadratic Equations
230
27
Review Exercises
236
14
Test
250
2
Cumulative Review (Chapters 1--5)
252
5
Rational Expressions
The Fundamental Property of Rational Expressions
257
4
Multiplication and Division of Rational Expressions
261
4
The Least Common Denominator
265
5
Addition and Subtraction of Rational Expressions
270
8
Complex Fractions
278
4
Equations Involving Rational Expressions
282
11
Summary: Rational Expressions
291
2
Applications of Rational Expressions
293
28
Review exercises
300
12
Test
312
4
Cumulative Review (Chapters 1--6)
316
5
The Straight Line
The Rectangular Coordinate System
321
6
The Slope of a Line
327
6
Linear Equations
333
6
Linear Inequalities
339
4
Introduction to Functions
343
6
Variation
349
27
Review Exercises
354
12
Test
366
4
Cumulative Review (Chapters 1--7)
370
6
Linear Systems
Solving Systems of Linear Equations by Graphing
376
7
Solving Systems of Linear Equations by Substitution
383
7
Solving Systems of Linear Equations by Addition
390
6
Linear Systems of Equations in Three Variables
396
9
Applications of Linear Systems of Equations
405
10
Solution of Linear Systems of Equations by Matrix Methods
415
6
Determinants
421
3
Solution of Linear Systems of Equations by Determinants---Cramer's Rule
424
45
Review Exercises
430
24
Test
454
6
Cumulative Review (Chapters 1--8)
460
9
Roots and Radicals
Finding Roots
469
4
Multiplication and Division of Radicals
473
3
Addition and Subtraction of Radicals
476
2
Rationalizing the Denominator
478
3
Simplifying Radical Expressions
481
4
Equations with Radicals
485
6
Fractional Exponents
491
21
Review Exercises
494
10
Test
504
2
Cumulative Review (Chapters 1--9)
506
6
Quadratic Equations and Inequalities
Solving Quadratic Equations by the Square Root Property
512
4
Solving Quadratic Equations by Completing the Square
516
5
Solving Quadratic Equations by the Quadratic Formula
521
9
Complex Numbers
530
5
Equations Quadratic in Form
535
9
Formulas and Applications
544
7
Nonlinear Inequalities
551
49
Review Exercises
562
25
Test
587
5
Cumulative Review (Chapters 1--10)
592
8
Quadratic Functions and the Conic Sections
Quadratic Functions: Parabolas
600
4
More About Parabolas and Their Applications
604
6
The Circle and the Ellipse
610
5
The Hyperbola and Square Root Functions
615
5
Nonlinear Systems of Equations
620
10
Second--Degree Inequalities and Systems of Inequalities
630
35
Review Exercises
635
17
Test
652
5
Cumulative Review (Chapters 1--11)
657
8
Inverse, Exponential, and Logarithmic Functions
Inverse Functions
665
4
Exponential Functions
669
8
Logarithmic Functions
673
4
Properties of Logarithms
677
3
Evaluating Logarithms
680
5
Exponential and Logarithmic Equations and Their Applications
685
30
Review Exercises
690
12
Test
702
4
Cumulative Review (Chapters 1--12)
706
9
Sequences and Series
Sequences and Series
715
4
Arithmetic Sequences
719
4
Geometric Sequences
723
5
The Binomial Theorem
728
23
Review Exercises
730
8
Test
738
4
Cumulative Review (Chapters 1--13)
742
9
APPENDICES
Appendix A Review of Decimals and Percents
751
2
Appendix B Sets
753