中級代數向您介紹數學的邏輯、精確性和嚴謹性，同時幫助您為未來的成功奠定基礎。 透過提供逐步支援的範例和資源，您將擁有成功「做數學」所需的工具。
Intermediate Algebra introduces you to the logic, precision and rigor of mathematics, while helping you build a foundation for future success. With examples and resources that provide step-by-step support, you'll have the tools you need to successfully "do the math".
Table of Contents
Preface
R. Review
R.1. Success in Mathematics
R.2. Sets and Classification of Numbers
R.3. Operations on Signed Numbers; Properties of Real Numbers
R.4. Order of Operations
R.5. Algebraic Expressions
Linear Equations and Inequalities
Part I. Linear Equations and Inequalities in One Variable
1.1. Linear Equations in One Variable
1.2. An Introduction to Problem Solving
1.3. Using Formulas to Solve Problems
1.4. Linear Inequalities in One Variable
Putting the Concepts Together (Sections 1.1–1.4)
Part II. Linear Equations and Inequalities in Two Variables
1.5. Rectangular Coordinates and Graphs of Equations
1.6. Linear Equations in Two Variables
1.7. Parallel and Perpendicular Lines
1.8. Linear Inequalities in Two Variables
Chapter 1 Activity: Pass the Paper
Chapter 1 Review
Chapter 1 Test
Cumulative Review Chapters R–1
Relations, Functions, and More Inequalities
Putting the Concepts Together (Sections 2.1–2.3)
2.1. Relations
2.2. An Introduction to Functions
2.3. Functions and Their Graphs
2.4. Linear Functions and Models
2.5. Compound Inequalities
2.6. Absolute Value Equations and Inequalities
Chapter 2 Activity: Shifting Discovery
Chapter 2 Review
Chapter 2 Test
Systems of Linear Equations and Inequalities
Putting the Concepts Together (Sections 3.1–3.3)
3.1. Systems of Linear Equations in Two Variables
3.2. Problem Solving: Systems of Two Linear Equations Containing Two Unknowns
3.3. Systems of Linear Equations in Three Variables
3.4. Using Matrices to Solve Systems
3.5. Determinants and Cramer’s Rule
3.6. Systems of Linear Inequalities
Chapter 3 Activity: Find the Numbers
Chapter 3 Review
Chapter 3 Test
Cumulative Review Chapters R–3
Getting Ready for Chapter 4: Laws of Exponents and Scientific Notation
Polynomials and Polynomial Functions
Putting the Concepts Together (Sections 4.1–4.3)
4.1. Adding and Subtracting Polynomials
4.2. Multiplying Polynomials
4.3. Dividing Polynomials; Synthetic Division
4.4. Greatest Common Factor; Factoring by Grouping
4.5. Factoring Trinomials
4.6. Factoring Special Products
4.7. Factoring: A General Strategy
4.8. Polynomial Equations
Chapter 4 Activity: What Is the Question?
Chapter 4 Review
Chapter 4 Test
Getting Ready for Chapter 5: A Review of Operations on Rational Numbers
Rational Expressions and Rational Functions
Putting the Concepts Together (Sections 5.1–5.3)
5.1. Multiplying and Dividing Rational Expressions
5.2. Adding and Subtracting Rational Expressions
5.3. Complex Rational Expressions
5.4. Rational Equations
5.5. Rational Inequalities
5.6. Models Involving Rational Expressions
5.7. Variation
Chapter 5 Activity: Correct the Quiz
Chapter 5 Review
Chapter 5 Test
Cumulative Review Chapters R–5
Getting Ready for Chapter 6: Square Roots
Radicals and Rational Exponents
Putting the Concepts Together (Sections 6.1–6.5)
6.1. nth Roots and Rational Exponents
6.2. Simplifying Expressions Using the Laws of Exponents
6.3. Simplifying Radical Expressions Using Properties of Radicals
6.4. Adding, Subtracting, and Multiplying Radical Expressions
6.5. Rationalizing Radical Expressions
6.6. Functions Involving Radicals
6.7. Radical Equations and Their Applications
6.8. The Complex Number System
Chapter 6 Activity: Which One Does Not Belong?
Chapter 6 Review
Chapter 6 Test
Quadratic Equations and Functions
Putting the Concepts Together (Sections 7.1–7.3)
7.1. Solving Quadratic Equations by Completing the Square
7.2. Solving Quadratic Equations by the Quadratic Formula
7.3. Solving Equations Quadratic in Form
7.4. Graphing Quadratic Functions Using Transformations
7.5. Graphing Quadratic Functions Using Properties
7.6. Polynomial Inequalities
Chapter 7 Activity: Presidential Decision Making
Chapter 7 Review
Chapter 7 Test
Cumulative Review Chapters R–7
Exponential and Logarithmic Functions
Putting the Concepts Together (Sections 8.1–8.3)
8.1. Composite Functions and Inverse Functions
8.2. Exponential Functions
8.3. Logarithmic Functions
8.4. Properties of Logarithms
8.5. Exponential and Logarithmic Equations
Chapter 8 Activity: Correct the Quiz
Chapter 8 Review
Chapter 8 Test
Conics
Putting the Concepts Together (Sections 9.1–9.5)
9.1. Distance and Midpoint Formulas
9.2. Circles
9.3. Parabolas
9.4. Ellipses
9.5. Hyperbolas
9.6. Systems of Nonlinear Equations
Chapter 9 Activity: How Do You Know That . . . ?
Chapter 9 Review
Chapter 9 Test
Cumulative Review: Chapters R–9
Sequences, Series, and the Binomial Theorem
Putting the Concepts Together (Sections 10.1–10.3)
10.1. Sequences
10.2. Arithmetic Sequences
10.3. Geometric Sequences and Series
10.4. The Binomial Theorem
Chapter 10 Activity: Discover the Relation
Chapter 10 Review
Chapter 10 Test
