# Algebra and Trigonometry for College Readiness ISBN: 9780131366268
Published: 2011

## Chapters: 1234567891011121314151617181920

### Chapter 1

Review Of The Real Number System

 1.1 Basic Concepts Exercises p.12 1.2 Operations on Real Numbers Exercises p.21 1.3 Exponents, Roots, and Order of Operations Exercises p.28 1.4 Properties of Real Numbers Exercises p.35 Review Exercises p.39 Test p.41

### Chapter 2

Linear Equations, Inequalities, And Applications

 2.1 Linear Equations in One Variable Exercises p.50 2.2 Formulas Exercises p.56 2.3 Applications of Linear Equations Exercises p.67 2.4 Linear Inequalities in One Variable Exercises p.79 2.5 Set Operations and Compound Inequalities Exercises p.89 2.6 Absolute Value Equations and Inequalities Exercises p.96 Review Exercises p.102 Test p.105

### Chapter 3

Graphs, Linear Equations, And Functions

 3.1 The Rectangular Coordinate System Exercises p.114 3.2 The Slope of a Line Exercises p.125 3.3 Linear Equations in Two Variables Exercises p.138 3.4 Linear Inequalities in Two Variables Exercises p.146 3.5 Introduction to Functions Exercises p.157 Review Exercises p.163 Test p.166

### Chapter 4

Systems And Matrices

 4.1 Systems of Linear Equations in Two Variables Exercises p.178 4.2 Systems of Linear Equations in Three Variable Exercises p.187 4.3 Solving Systems of Linear Equations by Matrix Methods Exercises p.194 4.4 Properties of Matrices Exercises p.204 4.5 Matrix Inverses Exercises p.215 4.6 Determinants and Cramer's Rule Exercises p.223 Review Exercises p.230 Test p.232

### Chapter 5

Exponents, Polynomials, And Functions

 5.1 Interger Exponents and Scientific Notation Exercises p.246 5.2 Adding and Subtracting Polynomials Exercises p.253 5.3 Polynomial Functions, Graphs, and Composition Exercises p.262 5.4 Multiplying Polynomials Exercises p.270 5.5 Dividing Polynomials Exercises p.276 Review Exercises p.281 Test p.283

### Chapter 6

Factoring

 6.1 Greatest Common Factors; Factoring by Grouping Exercises p.290 6.2 Factoring Trinomials Exercises p.297 6.3 Special Factoring Exercises p.302 6.4 A General Approach to Factoring Exercises p.305 6.5 Solving Equations by Factoring Exercises p.312 Review Excercises p.315 Test p.317

### Chapter 7

Rational Expressions And Functions

 7.1 Rational Expressions and Functions; Multiplying and Dividing Exercises p.327 7.2 Adding and Subtracting Rational Expressions Exercises p.336 7.3 Complex Fractions Exercises p.344 7.4 Equations with Rational Expressions and Graphs Exercises p.348 7.5 Applications of Rational Expressions Exercises p.357 7.6 Variations Exercises p.367 Review Exercises p.375 Test p.377

### Chapter 8

Roots, Radicals, And Root Functions

 8.1 Radical Expressions and Graphs Exercises p.384 8.2 Rational Exponents Exercises p.391 8.3 Simplifying Radical Expressions Exercises p.399 8.4 Adding and Subtracting Radical Expressions Exercises p.404 8.5 Multiplying and Dividing Radical Expressions Exercises p.411 8.6 Solving Equations with Radicals Exercises p.418 8.7 Complex Numbers Exercises p.425 Review Exercises p.430 Test p.433

### Chapter 9

Quadratic Equations And Inequalities

 9.1 The Square Root Property and Completing the Square Exercises p.44 9.2 The Quadratic Formula Exercises p.449 9.3 Equations Quadratic in Form Exercises p.457 9.4 Formulas and Further Applications Exercises p.465 9.5 Quadratic and Rational Inequalities Exercises p.474 Review Exercises p.477 Test p.480

### Chapter 10

Additional Graphs Of Functions And Relations

 10.1 Review of Operations and Composition Exercises p.488 10.2 Graphs of Quadratic Functions Exercises p.497 10.3 More about Parabolas and Their Applications Exercises p.508 10.4 Symmetry; Increasing and Decreasing Functions Exercises p.515 10.5 Piecewise Linear Functions Exercises p.521 Review Exercises p.527 Test p.528

### Chapter 11

Inverse, Exponential, And Logarithmic Functions

 11.1 Inverse Functions Exercises p.537 11.2 Exponential Functions Exercises p.545 11.3 Logarithmic Functions Exercises p.552 11.4 Properties of Logarithms Exercises p.560 11.5 Common and Natural Logarithms Exercises p.566 11.6 Exponential and Logarithmic Equations; Further Applications Exercises p.576 Review Exercises p.582 Test p.585

### Chapter 12

Polynomial And Rational Functions

 12.1 Synthetic Division Exercises p.592 12.2 Zeros of Polynomial Functions Exercises p.599 12.3 Graphs and Applications of Polynomial Functions Exercises p.610 12.4 Graphs and Applications of Rational Functions Exercises p.623 Review Exercises p.629 Test p.631

### Chapter 13

Conic Sections And Nonlinear Systems

 13.1 The Circle and the Ellipse Exercises p.638 13.2 The Hyperbola and Functions Defined by Radical Exercises p.646 13.3 Nonlinear Systems of Equations Exercises p.652 Review Exercises p.656 Test p.656

### Chapter 14

Trigonometric Functions

 14.1 Angles Exercises p.665 14.2 Angle Relationships and Similar Triangles Exercises p.672 14.3 Trigonometric Functions Exercises p.681 14.4 Using the Definitions of the Trigonometric Functions Exercises p.689 Review Exercises p.694 Test p.698

### Chapter 15

Acute Angles And Right Triangles

 15.1 Trigonometric Functions of Acute Angles Exercises p.707 15.2 Trigonometric Functions of Non-Acute Angles Exercises p.713 15.3 Finding Trigonometric Function Values Using a Calculator Exercises p.717 15.4 Solving Right Triangles Exercises p.723 Review Exercises p.730 Test p.733

### Chapter 16

Radian Measure And Circular Functions

 16.1 Radian Measure Exercises p.739 16.2 Applications of Radian Measure Exercises p.745 16.3 The Unit Circle and Circular Functions Exercises p.755 16.4 Linear and Angular Speed Exercises p.760 Review Exercises p.765 Test p.767

### Chapter 17

Graphs Of The Circular Functions

 17.1 Graphs of the Sine and Cosine Functions Exercises p.778 17.2 Translations of the Graphs of the Sine and Cosine Functions Exercises p.786 17.3 Graphs of the Tangent and Cotangent Functions Exercises p.794 17.4 Graphs of the Secant and Cosecant Functions Exercises p.801 Review Exercises p.805 Test p.807

### Chapter 18

Trigonometric Identities

 18.1 Fundamental Identaties Exercises p.813 18.2 Verifying Trigonometric Identities Exercises p.819 18.3 Sum and Difference Identities for Cosine Exercises p.825 18.4 Sum and Difference Identities for Sine and Tangent Exercises p.831 18.5 Double-Angle Identities Exercises p.837 18.6 Half-Angle Identities Exercises p.843 Review Exercises p.846 Test p.848

### Chapter 19

Inverse Circular Functions And Trigonometric Equations

 19.1 Inverse Circular Functions Exercises p.860 19.2 Trigonometric Equations I Exercises p.867 19.3 Trigonometric Equations II Exercises p.873 Review Exercises p.876 Test p.878

### Chapter 20

Oblique Triangles And Vectors

 20.1 Oblique Triangles and the Law of Sines Exercises p.886 20.2 The Ambiguous Case of the Law of Sines Exercises p.894 20.3 The Law of Cosines Exercises p.899 20.4 Vectors Exercises p.908 Review Exercises p.913 Test p.916