Algebra & Trigonometry Super Review by REA, Editors of -- Read -- Imperial Library of Trantor

Index

Cover Page Title Page Copyright Page REA’S Algebra & Trigonometry Super Review® Available Super Review® Titles About Research & Education Association Acknowledgments Contents Chapter 1 Sets and Operations

1.1 Sets 1.2 Subsets 1.3 Union and Intersection of Sets 1.4 Laws of Set Operations

Chapter 2 Number Systems and Fundamental Algebraic Laws and Operations

2.1 Decimals 2.2 Number Systems 2.3 Absolute Value 2.4 Fundamental Algebraic Laws 2.5 Basic Algebraic Operations 2.6 Operations with Fractions 2.7 Imaginary and Complex Numbers

Chapter 3 Exponents and Radicals

3.1 Exponents 3.2 Radicals 3.3 Scientific Notation Quiz: Sets and Set Operations—Exponents and Radicals

Chapter 4 Polynomials and Rational Expressions

4.1 Terms and Expressions 4.2 The Polynomial 4.3 Algebraic Operations with Polynomials 4.4 Polynomial Factorization 4.5 Operations with Fractions and Rational Expressions Quiz: Polynomials and Rational Expressions

Chapter 5 Equations

5.1 Equations 5.2 Basic Laws of Equality 5.3 Equations with Absolute Values

Chapter 6 Linear Equations and Systems of Linear Equations

6.1 Linear Equations 6.2 Linear Equations in Two Variables 6.3 Graphing the Solution Set 6.4 Systems of Linear Equations Quiz: Equations—Linear Equations

Chapter 7 Inequalities

7.1 Inequality 7.2 Properties of Inequalities 7.3 Inequalities with Absolute Values 7.4 Inequalities in Two Variables Quiz: Inequalities

Chapter 8 Relations and Functions

8.1 Relations and Functions 8.2 Properties of Relations 8.3 Properties of Functions Quiz: Relations and Functions

Chapter 9 Quadratic Equations

9.1 Quadratic Equations 9.2 Quadratic Formula 9.3 Quadratic Functions 9.4 Quadratic Equations in Two Unknowns and Systems of Equations 9.5 Solving Systems of Equations Involving Unknowns Quiz: Quadratic Equations

Chapter 10 Equations of Higher Order

10.1 Methods to Solve Equations of Higher Order 10.2 Theory of Equations 10.3 Algebraic Theorems 10.4 Descartes’ Rule of Signs Quiz: Equations of Higher Order

Chapter 11 Ratio, Proportion, and Variation

11.1 Ratio and Proportion 11.2 Variation

Chapter 12 Logarithms

12.1 Logarithms 12.2 Logarithmic, Exponential, and Power Functions

Chapter 13 Sequences and Series

13.1 Sequences 13.2 Series Quiz: Ratio, Proportion, and Variation—Sequences and Series

Chapter 14 Permutations, Combinations, and Probability

14.1 Permutation 14.2 Combination 14.3 Probability Quiz: Permutations, Combinations, and Probability

Chapter 15 Vectors and Matrices, Determinants, and Systems of Equations

15.1 Vectors 15.2 Matrices 15.3 Determinates 15.4 System of Equations

Chapter 16 Mathematical Induction and the Binomial Theorem

16.1 Mathematical Induction 16.2 Binomial Theorem Quiz: Vectors, Matrices—Mathematical Induction

Chapter 17 Partial Fractions Chapter 18 Complex Numbers

18.1 DeMoivre’s Theorem Quiz: Partial Fractions—Complex Numbers

Chapter 19 Trigonometry and Trigonometric Functions

19.1 Angles and Triangles 19.2 Trigonometric Ratios 19.3 Trigonometric Functions 19.4 Properties and Graphs of Trigonometric Functions; Trigonometric Identities and Formulas

Chapter 20 Solving Triangles

20.1 Laws and Formulas 20.2 Important Concepts and Theorems Quiz: Trigonometry and Trigonometric Functions—Solving Triangles

Chapter 21 Inverse Trigonometric Functions and Trigonometric Equations

21.1 Inverse Trigonometric Functions 21.2 Trigonometric Equations

Chapter 22 Introduction to Analytic Geometry

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