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Algebra for College Students, 7th Edition
Algebra for College Students, 7th Edition
Chapter 0: Strategies for Academic Success
0.1
Understanding and Reducing Stress
0.2
Staying Organized
0.3
Managing Your Time Effectively
0.4
Reading a Textbook and Note-Taking
0.5
Using Effective Study Strategies
0.6
Reducing Test Anxiety
Chapter 1: Real Numbers
1.1
Exponents, Prime Numbers, and LCM
1.2
The Real Number Line and Absolute Value
1.3
Introduction to Sets
1.4
Operations with Real Numbers
1.5
Order of Operations with Real Numbers
1.6
Properties of Real Numbers
Chapter 2: Solving Equations and Inequalities
2.1
Simplifying and Evaluating Algebraic Expressions
2.2
Solving Linear Equations
2.3
Absolute Value Equations
2.4
Working with Formulas
2.5
Applications: Number Problems and Consecutive Integers
2.6
Applications: Distance-Rate-Time, Interest, Average, and Cost
2.7
Solving Linear Inequalities in One Variable
2.8
Absolute Value Inequalities
Chapter 3: Linear Equations and Functions
3.1
The Cartesian Coordinate System
3.2
Graphing Linear Equations in Two Variables
3.3
Slope-Intercept Form
3.4
Point-Slope Form
3.5
Introduction to Functions and Function Notation
3.6
Graphing Linear Inequalities in Two Variables
Chapter 4: Systems of Linear Equations
4.1
Systems of Linear Equations: Solutions by Graphing
4.2
Systems of Linear Equations: Solutions by Substitution
4.3
Systems of Linear Equations: Solutions by Addition
4.4
Applications: Distance-Rate-Time, Number Problems, Amounts, and Cost
4.5
Applications: Interest and Mixture
4.6
Systems of Linear Equations: Three Variables
4.7
Matrices and Gaussian Elimination
4.8
Determinants
4.9
Determinants and Systems of Linear Equations: Cramer's Rule
4.10
Systems of Linear Inequalities
Chapter 5: Exponents and Polynomials
5.1
Rules for Exponents
5.2
Power Rules for Exponents
5.3
Applications: Scientific Notation
5.4
Introduction to Polynomials
5.5
Addition and Subtraction with Polynomials
5.6
Multiplication with Polynomials
5.7
Special Products of Binomials
5.8
Division with Polynomials
5.9
Synthetic Division and the Remainder Theorem
Chapter 6: Factoring Polynomials
6.1
Greatest Common Factor (GCF) and Factoring by Grouping
6.2
Factoring Trinomials: x^2 + bx + c
6.3
Factoring Trinomials: ax^2 + bx + c
6.4
Special Factoring Techniques
6.5
Review of Factoring Techniques
6.6
Solving Quadratic Equations by Factoring
6.7
Applications: Quadratic Equations
6.8
Using a Graphing Calculator to Solve Equations
Chapter 7: Rational Expressions and Rational Equations
7.1
Introduction to Rational Expressions
7.2
Multiplication and Division with Rational Expressions
7.3
Least Common Multiple of Polynomials
7.4
Addition and Subtraction with Rational Expressions
7.5
Simplifying Complex Fractions
7.6
Solving Rational Equations
7.7
Applications: Rational Expressions
7.8
Applications: Variation
Chapter 8: Roots, Radicals, and Complex Numbers
8.1
Evaluating Radicals
8.2
Simplifying Radicals
8.3
Rational Exponents
8.4
Addition, Subtraction, and Multiplication with Radicals
8.5
Rationalizing Denominators
8.6
Solving Radical Equations
8.7
Functions with Radicals
8.8
Introduction to Complex Numbers
8.9
Multiplication and Division with Complex Numbers
Chapter 9: Quadratic Equations and Quadratic Functions
9.1
Quadratic Equations: The Square Root Method
9.2
Quadratic Equations: Completing the Square
9.3
Quadratic Equations: The Quadratic Formula
9.4
More Applications of Quadratic Equations
9.5
Equations in Quadratic Form
9.6
Graphing Quadratic Functions
9.7
More on Graphing Quadratic Functions and Applications
9.8
Solving Polynomial and Rational Inequalities
Chapter 10: Exponential and Logarithmic Functions
10.1
Algebra of Functions
10.2
Composition of Functions and Inverse Functions
10.3
Exponential Functions
10.4
Logarithmic Functions
10.5
Properties of Logarithms
10.6
Common Logarithms and Natural Logarithms
10.7
Logarithmic and Exponential Equations and Change-of-Base
10.8
Applications: Exponential and Logarithmic Functions
Chapter 11: Conic Sections
11.1
Translations and Reflections
11.2
Parabolas as Conic Sections
11.3
Distance Formula, Midpoint Formula, and Circles
11.4
Ellipses and Hyperbolas
11.5
Nonlinear Systems of Equations
Chapter 12: Sequences, Series, and the Binomial Theorem
12.1
Sequences
12.2
Sigma Notation
12.3
Arithmetic Sequences
12.4
Geometric Sequences and Series
12.5
The Binomial Theorem
Appendix A: Appendix
A.1
Review of Fractions
A.2
The Fundamental Counting Principle and Permutations
A.3
Combinations