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Tables of Contents for Elementary and Intermediate Algebra for College Students
Chapter/Section Title
Page #
Page Count
Preface
xi
To The Student
xxiii
Real Numbers
1
90
Study Skills for Success in Mathematics
2
7
Problem Solving
9
12
Fractions
21
12
The Real Number System
33
5
Inequalities
38
5
Addition of Real Numbers
43
8
Subtraction of Real Numbers
51
8
Multiplication and Division of Real Numbers
59
8
Exponents, Parentheses, and the Order of Operations
67
13
Properties of the Real Number System
80
11
Summary
85
2
Review Exercises
87
2
Practice Test
89
2
Solving Linear Equations
91
62
Combining Like Terms
92
9
The Addition Property of Equality
101
10
The Multiplication Property of Equality
111
9
Solving Linear Equations with a Variable on Only One Side of the Equation
120
7
Solving Linear Equations with the Variable on Both Sides of the Equation
127
8
Ratios and Proportions
135
18
Summary
149
1
Review Exercises
150
1
Practice Test
151
1
Cumulative Review Test
152
1
Formulas and Applications of Algebra
153
68
Formulas
154
13
Changing Application Problems into Equations
167
12
Solving Application Problems
179
16
Geometric Problems
195
5
Motion and Mixture Problems
200
21
Summary
214
1
Review Exercises
215
2
Practice Test
217
1
Cumulative Review Test
218
3
Graphing Linear Equations
221
50
The Cartesian Coordinate System and Linear Equations in Two Variables
222
10
Graphing Linear Equations
232
12
Slope of a Line
244
7
Slope-Intercept and Point-Slope Forms of a Linear Equation
251
20
Summary
265
1
Review Exercises
266
2
Practice Test
268
1
Cumulative Review Test
269
2
Exponents and Polynomials
271
58
Exponents
272
9
Negative Exponents
281
7
Scientific Notation
288
8
Addition and Subtraction of Polynomials
296
7
Multiplication of Polynomials
303
11
Division of Polynomials
314
15
Summary
324
1
Review Exercises
325
2
Practice Test
327
1
Cumulative Review Test
328
1
Factoring
329
58
Factoring a Monomial from a Polynomial
330
8
Factoring by Grouping
338
5
Factoring Trinomials of the form ax2 + bx + c, a = 1
343
9
Factoring Trinomials of the form ax2 + bx + c, a = 1
352
13
Special Factoring Formulas and a General Review of Factoring
365
7
Solving Quadratic Equations Using Factoring
372
15
Summary
382
1
Review Exercises
383
2
Practice Test
385
1
Cumulative Review Test
385
2
Rational Expressions and Equations
387
72
Simplifying Rational Expressions
388
7
Multiplication and Division of Rational Expressions
395
7
Addition and Subtraction of Rational Expressions with a Common Denominator and Finding the Least Common Denominator
402
8
Addition and Subtraction of Rational Expressions
410
9
Complex Fractions
419
5
Solving Rational Equations
424
9
Rational Equations: Applications and Problem Solving
433
11
Variation
444
15
Summary
453
1
Review Exercises
453
3
Practice Test
456
1
Cumulative Review Test
457
2
Functions and Their Graphs
459
70
More on Graphs
460
8
Functions
468
1
Linear Functions
468
29
Slope, Modeling, and Linear Relationships
497
17
The Algebra of Functions
514
15
Summary
523
1
Review Exercises
524
2
Practice Test
526
2
Cumulative Review Test
528
1
Systems of Linear Equations
529
68
Solving Systems of Equations Graphically
530
10
Solving Systems of Equations by Substitution
540
6
Solving Systems of Equations by the Addition Method
546
8
Solving Systems of Linear Equations in Three Variables
554
7
Systems of Linear Equations: Applications and Problem Solving
561
13
Solving Systems of Equations Using Matrices
574
8
Solving Systems of Equations Using Determinants and Cramer's Rule
582
15
Summary
590
2
Review Exercises
592
2
Practice Test
594
1
Cumulative Review Test
595
2
Inequalities in One and Two Variables
597
40
Solving Linear Inequalities in One Variable
598
15
Solving Equations and Inequalities Containing Absolute Value
613
10
Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities
623
14
Summary
631
1
Review Exercises
631
2
Practice Test
633
1
Cumulative Review Test
634
3
Roots, Radicals, and Complex Numbers
637
68
Roots and Radicals
638
8
Rational Exponents
646
8
Multiplying and Simplifying Radicals
654
8
Dividing and Simplifying Radicals
662
10
Adding and Subtracting Radicals
672
6
Solving Radical Equations
678
12
Complex Numbers
690
15
Summary
698
1
Review Exercises
699
3
Practice Test
702
1
Cumulative Review Test
703
2
Quadratic Functions
705
76
Solving Quadratic Equations by Completing the Square
706
10
Solving Quadratic Equations by the Quadratic Formula
716
14
Quadratic Equations: Applications and Problem Solving
730
7
Factoring Expressions and Solving Equations that are Quadratic in Form
737
8
Graphing Quadratic Functions
745
21
Quadractic and Other Inequalities in One Variable
766
15
Summary
775
1
Review Exercises
776
2
Practice Test
778
1
Cumulative Review Test
779
2
Exponential and Logarithmic Functions
781
62
Composite and Inverse Functions
782
12
Exponential Functions
794
7
Logarithmic Functions
801
6
Properties of Logarithms
807
6
Common Logarithms
813
6
Exponential and Logarithmic Equations
819
7
Natural Exponential and Natural Logarithmic Functions
826
17
Summary
838
1
Review Exercises
839
2
Practice Test
841
1
Cumulative Review Test
842
1
Conic Sections
843
38
The Parabola and the Circle
844
12
The Ellipse
856
5
The Hyperbola
861
6
Nonlinear Systems of Equations and Their Applications
867
14
Summary
875
1
Review Exercises
876
2
Practice Test
878
1
Cumulative Review Test
879
2
Sequences, Series, and the Binomial Theorem
881
38
Sequences and Series
882
8
Arithmetic Sequences and Series
890
6
Geometric Sequences and Series
896
11
The Binomial Theorem
907
12
Summary
913
1
Review Exercises
914
2
Practice Test
916
1
Cumulative Review Test
917
2
Appendices
919
1
Review of Decimals and Percents
919
3
Finding the Greatest Common Factor and Least Common Denominator
922
2
Geometry Concepts and Formulas
924
7
Review of Exponents, Polynomials, and Factoring
931
Answers
A1
Index
I1
Photo Credits
P1