Beginning and intermediate algebra / K. Elayn Martin-Gay.

Contents;

REVIEW OF-REAL NUMBERS 1
1.1 Tips for Success in Mathematics 2
1.2 Symbols and Sets of Numbers 7
1.3 Fractions 16
1.4 Introduction to Variable Expressions and Equations 23
1.5 Adding Real Numbers 33
1.6 Subtracting Real Numbers 40


EQUATIONS, INEQUALITIES, AND PROBLEM SOLVING 72
2.1 Simplifying Algebraic Expressions 73
2.2 The Addition and Multiplication Properties of Equality 80
2.3 Solving Linear Equations 90
Integrated Review- Solving Linear Equations 99
2.4 An Introduction to Problem Solving 100
2.5 Formulas and Problem Solving 110
2.6 Further Problem Solving 120


GRAPHING 150
3.1 Reading Graphs and the Rectangular Coordinate System 151
3.2 Graphing Linear Equations 165
3.3 Intercepts 174
3.4 Slope and Rate of Change 182
Integrated Review--Summary on Slope and Graphing
Linear Equations 195
3.5 The Slope-Intercept Form 196
3.6 The Point-Slope Form 204
3.7 Functions 211


SYSTEMS OF LINEAR EQUATIONS 233
4.1 Solving Systems of Linear Equations by Graphing 234
4.2 Solving Systems of Linear Equations by Substitution 242
4.3 Solving Systems of Linear Equations by Addition 249
Integrated Review-Sotving Systlens of Equations 255
4.4 Solving Systems of Linear Equations in Three Variables 256
4.5 Systems of Linear Equations and Problem Solving 265


EXPONENTS AND POLYNOMIALS 287
5.1 Exponents 288
5.2 Polynomial Functions and Adding and Subtracting Polynomials 298
5.3 Multiplying Polynomials 309
5.4 Special Products 314
iitegrated Review--l Exponents and Operations on Iolynomials 321
5.5 Negative Exponents and Scientific Notation 321
5.6 Division of Polynomials 330
5.7 Synthetic Division and the Remainder Theorem 335


FACTORING POLYNOMIALS 351
6.1 The Greatest Common Factor and Factoring by Grouping 352
6.2 Factoring Trinomials of the Form x2 + bx + c 359
6.3 Factoring Trinomials of the Form ax2 + bx + c 365
6.4 Factoring Binomials 373
Integraed Review-Choosing a Fictoring Str,ategy 380
6.5 Solving Quadratic Equations by Factoring 383
6.6 Quadratic Equations and Problem Solving 392
Project: Choosing Among Building Options 400


RATIONAL EXPRESSIONS 409
7.1 Rational Functions and Simplifying Rational Expressions 410
7.2 Multiplying and Dividing Rational Expressions 419
7.3 Adding and Subtracting Rational Expressions with
Common Denominators and Least Common Denominators 426
7.4 Adding and Subtracting Rational Expressions with
Unlike Denominators 433
7.5 Solving Equations Containing Rational Expressions 439
Int egrated Reviewi-Suommary on Rational Expressions 446
7.6 Proportion and Problem Solving with Rational Equations 447
7.7 Simplifying Complex Fractions 459
Project: Comparing Dosage Formulas 466


FUNCTIONS AND GRAPHS 477
8.1 Graphing and Writing Linear Functions 478
8.2 Graphing Nonlinear Functions 488
Inte grated (RejL w- Summary on Fiunctions 495
8.3 The Algebra of Functions; Composite Functions 495
8.4 Variation and Problem Solving 502
Project: Modeling Electricity Production 512


INEQUALITIES AND ABSOLUTE VALUE 521
9.1 Compound Inequalities 522
9.2 Absolute Value Equations 529
9.3 Absolute Value Inequalities 535
Integra:ted Reviiew-Solving Etiquations iad Inequalities 542
9.4 Graphing Linear Inequalities in Two Variables and Systems of
Linear Inequalities 542
Project:Analyzing Municipal Budgets 551


RATIONAL EXPONENTS, RADICALS, AND COMPLEX NUMBERS
10.1 Radicals and Radical Functions 562
10.2 Rational Exponents 571
10.3 Simplifying Radical Expressions 580
10.4 Adding, Subtracting, and Multiplying Radical Expressions 586
10.5 Rationalizing Denominators and Numerators of
Radical Expressions 591
Integrated Review- Radicals and Rational Exponents 599
10.6 Radical Equations and Problem Solving 599
10.7 Complex Numbers 611
Project: Calculating the Length and Period of a Pendulum 618


QUADRATIC EQUATIONS AND FUNCTIONS 631
11.1 Solving Quadratic Equations by Completing the Square 632
11.2 Solving Quadratic Equations by the Quadratic Formula 642
11.3 Solving Equations by Using Quadratic Methods 654
Integrated Review - Suimmary on Solving Quadratic Equations 663
11.4 Nonlinear Inequalities in One Variable 665
11.5 Quadratic Functions and Their Graphs 673
11.6 Further Graphing of Quadratic Functions 681
Project: Fitting a Quadratic Model to Data 690


EXPONENTIAL AND LOGARITHMIC FUNCTIONS 701
12.1 Inverse Functions 702
12.2 Exponential Functions 712
12.3 Logarithmic Functions 720
12.4 Properties of Logarithms 728
Integrated Review- Functions and Properties of Logarithms 734
12.5 Common Logarithms, Natural Logarithms, and Change of Base 735
12.6 Exponential and Logarithmic Equations and Applications 741
Project: Modeling Temperature 749


CONIC SECTIONS 761
13.1 The Parabola and the Circle 762
13.2 The Ellipse and the Hyperbola 772
Integrated Review-Graphing Conic Sections 780
13.3 Solving Nonlinear Systems of Equations 781
13.4 Nonlinear Inequalities and Systems of Inequalities 787
Project: Modeling Conic Sections 791


SEQUENCES, SERIES, AND THE BINOMIAL THEOREM 800
14.1 Sequences 801
14.2 Arithmetic and Geometric Sequences 805
14.3 Series 812
Integrated Review- Sequences and Series 817
14.4 Partial Sums of Arithmetic and Geometric Sequences 818
14.5 The Binomial Theorem 825
Project: Modeling College Tuition 830