Author(s): Bailey, Kerry; Steege, Ray
Edition: 3
Publisher: McGraw-Hill Education
Year: 2018
Language: English
Pages: 384
Tags: Algebra -- Problems, exercises, etc.;Algebra -- Outlines, syllabi, etc.;Algebra -- Study guides.;Mathematics -- Study guides.;Algebra.;Mathematics.
Content: Cover --
Title Page --
Copyright Page --
Preface --
Contents --
INTRODUCTION Study Skills --
CHAPTER 1 Fundamental Concepts --
1.1 Definitions --
1.2 Axioms of Equality and Order --
1.3 Properties of Real Numbers --
1.4 Operations with Real Numbers --
1.5 Order of Operations --
1.6 Evaluation by Calculator --
1.7 Translating Phrases and Statements into Algebraic Form --
CHAPTER 2 Polynomials --
2.1 Definitions --
2.2 Sums and Differences --
2.3 Products --
2.4 Factoring --
2.5 Division --
CHAPTER 3 Rational Expressions --
3.1 Basic Properties --
3.2 Products and Quotients --
3.3 Sums and Differences --
3.4 Mixed Operations and Complex Fractions --
CHAPTER 4 First-Degree Equations and Inequalities --
4.1 Solving First-Degree Equations --
4.2 Graphs of First-Degree Equations --
4.3 Formulas and Literal Equations --
4.4 Applications --
4.5 Solving First-Degree Inequalities --
4.6 Graphs of First-Degree Inequalities --
4.7 Applications Involving Inequalities --
4.8 Absolute-Value Equations and Inequalities --
CHAPTER 5 Exponents, Roots, and Radicals --
5.1 Zero and Negative-Integer Exponents --
5.2 Scientific Notation --
5.3 Rational Exponents and Roots --
5.4 Simplifying Radicals --
5.5 Operations on Radical Expressions --
5.6 Complex Numbers --
CHAPTER 6 Second-Degree Equations and Inequalities --
6.1 Solving by Factoring and Square Root Methods --
6.2 Completing the Square and the Quadratic Formula --
6.3 Equations Involving Radicals --
6.4 Quadratic Form Equations --
6.5 Applications --
6.6 Graphs of Second-Degree Equations --
6.7 Quadratic and Rational Inequalities --
CHAPTER 7 Systems of Equations and Inequalities --
7.1 Linear Systems in Two Variables --
7.2 Linear Systems in Three Variables --
7.3 Determinants and Cramer’s Rule --
7.4 Matrix Methods --
7.5 Nonlinear Systems --
7.6 Systems of Inequalities --
CHAPTER 8 Relations and Functions --
8.1 Basic Concepts --
8.2 Function Notation and the Algebra of Functions --
8.3 Distance and Slope Formulas --
8.4 Linear Equation Forms --
8.5 Types of Functions --
8.6 Variation --
8.7 Inverse Relations and Functions --
CHAPTER 9 Exponential and Logarithmic Functions --
9.1 Exponential Functions --
9.2 Logarithmic Functions --
9.3 Properties of Logarithms --
9.4 Exponential and Logarithmic Equations --
9.5 Applications --
CHAPTER 10 Sequences, Series, and the Binomial Theorem --
10.1 Sequences --
10.2 Series --
10.3 The Binomial Theorem --
Chapter Quizzes --
Chapter Quizzes Answers --
Final Exam --
Final Exam Answers --
APPENDIX A The Frentheway Method Proof --
APPENDIX B Alternate Method for Factoring x2±bx±c --
APPENDIX C Study Tips from the Authors --
INDEX --
A --
B --
C --
D --
E --
F --
G --
H --
I --
L --
M --
N --
O --
P --
Q --
R --
S --
T --
V --
Z.
