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Purchase Benefits
What is included with this book?
The Bittinger Work-text Series changed the face of developmental education with the introduction of objective-based work-texts that presented math one concept at a time.
This approach allowed readers to understand the rationale behind each concept before practicing the associated skills and then moving on to the next topic. With this revision, Marv Bittinger continues to focus on building success through conceptual understanding, while also supporting readers with quality applications, exercises, and new review and study materials to help them apply and retain their knowledge.
MARKET: For all readers interested in basic college mathematics.
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
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
3. Graphs of Linear Equations
3.1 Graphs and Applications of Linear Equations
3.2 Graphing Linear Equations
3.3 More with Graphing and Intercepts
3.4 Slope and Applications
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
5. Polynomials: Factoring
5.1 Introduction to Factoring
5.2 Factoring Trinomials of the Type x^{2} + bx + c
5.3 Factoring ax^{2} + bx + c, a ≠ 1:
The FOIL Method
5.4 Factoring ax^{2} + bx + c, a ≠ 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
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
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
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
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
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
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) = ax^{2} + bx + c
11.7 Mathematical Modeling with Quadratic Functions
11.8 Polynomial and Rational Inequalities
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
Appendices
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