The Bittinger System for Success—Make it Work for You!
Building on its reputation for accurate content and a unified system of instruction, the Bittinger paperback series integrates success-building study tools, innovative pedagogy, and a comprehensive instructional support package with time-tested teaching techniques.
Table of Contents:
Chapter 1 Introduction to Real Numbers and Algebraic Expressions
1.1 Introduction to Algebra
1.2 The Real Numbers
1.3 Addition of Real Numbers
1.4 Subtraction of Real Numbers
1.5 Multiplication of Real Numbers
1.6 Division of Real Numbers
1.7 Properties of Real Numbers
1.8 Simplifying Expressions; Order of
Operations
Chapter 2 Solving Equations and Inequalities
2.1 Solving Equations: The Addition
Principle
2.2 Solving Equations: The
Multiplication Principle
2.3 Using the Principles Together
2.4 Formulas
2.5 Applications of Percent
2.6 Applications and Problem Solving
2.7 Solving Inequalities
2.8 Applications and Problem Solving
with Inequalities
Chapter 3 Graphs of Linear Equations
3.1 Graphs and Applications
3.2 Graphing Linear Equations
3.3 More with Graphing and Intercepts
3.4 Slope and Applications
Chapter 4 Polynomials: Operations
4.1 Integers as Exponents
4.2 Exponents and Scientific Notation
4.3 Introduction to Polynomials
4.4 Addition and Subtraction of
Polynomials
4.5 Multiplication of Polynomials
4.6 Special Products
4.7 Operations with Polynomials in
Several Variables
4.8 Division of Polynomials
Chapter 5 Polynomials: Factoring
5.1 Introduction to Factoring
5.2 Factoring Trinomials of the
Type x2 + bx + c
5.3 Factoring ax2 + bx + c, a ¹ 1:
The FOIL Method
5.4 Factoring ax2 + bx + c, a ¹ 1:
The ac-Method
5.5 Factoring Trinomial Squares and
Differences of Squares
5.6 Factoring Sums or Differences of
Cubes
5.7 Factoring: A General Strategy
5.8 Solving Quadratic Equations by
Factoring
5.9 Applications of Quadratic Equations
Chapter 6 Rational Expressions and Equations
6.1 Multiplying and Simplifying Rational
Expressions
6.2 Division and Reciprocals
6.3 Least Common Multiples and
Denominators
6.4 Adding Rational Expressions
6.5 Subtracting Rational Expressions
6.6 Complex Rational Expressions
6.7 Solving Rational Equations
6.8 Applications Using Rational
Equations and Proportions
6.9 Variation and Applications
Chapter 7 Graphs, Functions, and Applications
7.1 Functions and Graphs
7.2 Finding Domain and Range
7.3 Linear Functions: Graphs and Slope
7.4 More on Graphing Linear Equations
7.5 Finding Equations of Lines;
Applications
Chapter 8 Systems of Equations
8.1 Systems of Equations in Two
Variables
8.2 Solving by Substitution
8.3 Solving by Elimination
8.4 Solving Applied Problems: Two
Equations
8.5 Systems of Equations in Three
Variables
8.6 Solving Applied Problems: Three
Equations
8.7 Business and Economics
Applications
Chapter 9 More on Inequalities
9.1 Sets, Inequalities, and Interval
Notation
9.2 Intersections, Unions, and Compound
Inequalities
9.3 Absolute-Value Equations and
Inequalities
9.4 Systems of Inequalities in Two
Variables
Chapter 10 Radical Expressions, Equations, and Functions
10.1 Radical Expressions and Functions
10.2 Rational Numbers as Exponents
10.3 Simplifying Radical Expressions
10.4 Addition, Subtraction, and More
Multiplication
10.5 More on Division of Radical
Expressions
10.6 Solving Radical Equations
10.7 Applications Involving Powers and
Roots
10.8 The Complex Numbers
Chapter 11 Quadratic Equations and Functions
11.1 The Basics of Solving Quadratic
Equations
11.2 The Quadratic Formula
11.3 Applications Involving Quadratic
Equations
11.4 More on Quadratic Equations
11.5 Graphing f(x) = a(x - h)2 + k
11.6 Graphing f(x) = ax2 + bx + c
11.7 Mathematical Modeling with
Quadratic Functions
11.8 Polynomial and Rational
Inequalities
Chapter 12 Exponential and Logarithmic Functions
12.1 Exponential Functions
12.2 Inverse and Composite Functions
12.3 Logarithmic Functions
12.4 Properties of Logarithmic Functions
12.5 Natural Logarithmic Functions
12.6 Solving Exponential and
Logarithmic Equations
12.7 Mathematical Modeling with
Exponential and Logarithmic
Functions
Appendixes
A Factoring and LCMs
B Fraction Notation
C Exponential Notation and Order of
Operations
D Review of Factoring Polynomials
E Introductory Algebra Review
F Handling Dimension Symbols
G Mean, Median, and Mode
H Synthetic Division
I Determinants and Cramer's Rule
J Elimination Using Matrices
K The Algebra of Functions
L Distance, Midpoints, and Circles
