Intermediate Algebra, 3rd Edition Book

1	A Review of Basic Algebra	1
TLE Lesson 1	The Real Numbers
1.1	The Language of Algebra	4
1.2	The Real Number System	11
1.3	Operations with Real Numbers	22
1.4	Simplifying Algebraic Expressions	36
1.5	Solving Linear Equations and Formulas	47
1.6	Using Equations to Solve Problems	60
1.7	More Problem Solving	71
	Key Concept: Let x =	87
	Accent on Teamwork	88
	Chapter Review	89
	Chapter Test	95
2	Graphs, Equations of Lines, and Functions	97
TLE Lesson 2	The Rectangular Coordinate System
TLE Lesson 3	Rate of Change and the Slope of a Line
TLE Lesson 4	Function Notation
2.1	The Rectangular Coordinate System	100
2.2	Graphing Linear Equations	112
2.3	Rate of Change and the Slope of a Line	124
2.4	Writing Equations of Lines	137
2.5	Introduction to Functions	149
2.6	Graphs of Functions	162
	Key Concept: Functions	174
	Accent on Teamwork	175
	Chapter Review	176
	Chapter Test	181
	Cumulative Review Exercises	183
3	Systems of Equations	185
TLE Lesson 5	Solving Systems of Equations by Graphing
3.1	Solving Systems by Graphing	188
3.2	Solving Systems Algebraically	197
3.3	Systems of Three Equations	211
3.4	Solving Systems Using Matrices	223
3.5	Solving Systems Using Determinants	232
	Key Concept: Systems of Equations	242
	Accent on Teamwork	243
	Chapter Review	244
	Chapter Test	249
	Cumulative Review Exercises	251
4	Inequalities	253
TLE Lesson 6	Absolute Value Equations
4.1	Solving Linear Inequalities	256
4.2	Solving Compound Inequalities	268
4.3	Solving Absolute Value Equations and Inequalities	278
4.4	Linear Inequalities in Two Variables	288
4.5	Systems of Linear Inequalities	297
	Key Concept: Inequalities	306
	Accent on Teamwork	307
	Chapter Review	308
	Chapter Test	313
	Cumulative Review Exercises	315
5	Exponents, Polynomials, and Polynomial Functions	317
TLE Lesson 7	The Greatest Common Factor and Factoring by Grouping
TLE Lesson 8	Factoring Trinomials and the Difference of Squares
5.1	Exponents	320
5.2	Scientific Notation	329
5.3	Polynomials and Polynomial Functions	336
5.4	Multiplying Polynomials	348
5.5	The Greatest Common Factor and Factoring by Grouping	358
5.6	The Difference of Two Squares; the Sum and Difference of Two Cubes	365
5.7	Factoring Trinomials	372
5.8	Summary of Factoring Techniques	381
5.9	Solving Equations by Factoring	384
	Key Concept: Polynomials	394
	Accent on Teamwork	395
	Chapter Review	396
	Chapter Test	401
	Cumulative Review Exercises	403
6	Rational Expressions, Equations, and Functions	405
TLE Lesson 9	Solving Rational Equations
6.1	Rational Functions and Simplifying Rational Expressions	408
6.2	Multiplying and Dividing Rational Expressions	419
6.3	Adding and Subtracting Rational Expressions	428
6.4	Complex Fractions	436
6.5	Equations Containing Rational Expressions	445
6.6	Dividing Polynomials	458
6.7	Proportion and Variation	469
	Key Concept: Expressions and Equations	483
	Accent on Teamwork	484
	Chapter Review	485
	Chapter Test	491
	Cumulative Review Exercises	493
7	Radical Expressions, Equations, and Functions	496
TLE Lesson 10	Simplifying Radical Expressions
TLE Lesson 11	Radical Equations
7.1	Radical Expressions and Radical Functions	499
7.2	Simplifying and Combining Radical Expressions	510
7.3	Multiplying and Dividing Radical Expressions	519
7.4	Radical Equations	528
7.5	Rational Exponents	536
7.6	Geometric Applications of Radicals	547
	Key Concept: Radicals	557
	Accent on Teamwork	558
	Chapter Review	559
	Chapter Test	565
	Cumulative Review Exercises	567
8	Quadratic Equations, Functions, and Inequalities	569
TLE Lesson 12	The Quadratic Formula
8.1	Completing the Square	572
8.2	The Quadratic Formula	582
8.3	Quadratic Functions and Their Graphs	591
8.4	Complex Numbers	606
8.5	The Discriminant and Equations That Can Be Written in Quadratic Form	616
8.6	Quadratic and Other Nonlinear Inequalities	623
	Key Concept: Solving Quadratic Equations	631
	Accent on Teamwork	632
	Chapter Review	633
	Chapter Test	639
	Cumulative Review Exercises	641
9	Exponential and Logarithmic Functions	644
TLE Lesson 13	Exponential Functions
TLE Lesson 14	Properties of Logarithms
9.1	Algebra and Composition of Functions	647
9.2	Inverses of Functions	654
9.3	Exponential Functions	664
9.4	Base-e Exponential Functions	676
9.5	Logarithmic Functions	684
9.6	Base-e Logarithms	695
9.7	Properties of Logarithms	700
9.8	Exponential and Logarithmic Equations	709
	Key Concept: Inverse Functions	721
	Accent on Teamwork	722
	Chapter Review	723
	Chapter Test	729
	Cumulative Review Exercises	731
10	Conic Sections; More Graphing	733
TLE Lesson 15	Introduction to Conic Sections
10.1	The Circle and the Parabola	736
10.2	The Ellipse	747
10.3	The Hyperbola	756
10.4	Solving Simultaneous Second-Degree Equations	764
	Key Concept: Conic Sections	770
	Accent on Teamwork	771
	Chapter Review	772
	Chapter Test	775
	Cumulative Review Exercises	777
Appendix I	Fractions and Decimals	1
Appendix II	Cumulative Review of Graphing	13
Appendix III	Answers to Selected Exercises (Appears in the Student Edition only)	15
	Index	1