College Algebra with Intermediate Algebra: A Blended Course, 1st edition

R. Review of Basic Algebra

Part 1 Operations

• R.1 The Set of Real Numbers
• R.2 Operations with Real Numbers
• R.3 Exponential Notation and Order of Operations

Part 2 Manipulations

• R.4 Introduction to Algebraic Expressions
• R.5 Equivalent Algebraic Expressions
• R.6 Simplifying Algebraic Expressions
• R.7 Properties of Exponents and Scientific Notation

1. Solving Linear Equations and Inequalities

• 1.1 Solving Equations
• 1.2 Formulas and Applications
• 1.3 Applications and Problem Solving
• 1.4 Sets, Inequalities, and Interval Notation
• 1.5 Intersections, Unions, and Compound Inequalities
• 1.6 Absolute-Value Equations and Inequalities

2. Graphs, Functions, and Applications

• 2.1 Graphs of Equations
• 2.2 Functions and Graphs
• 2.3 Finding Domain and Range
• 2.4 The Algebra of Functions
• 2.5 Linear Functions: Graphs and Slope
• 2.6 More on Graphing Linear Equations
• 2.7 Finding Equations of Lines; Applications

3. Systems of Equations

• 3.1 Systems of Equations in Two Variables
• 3.2 Solving by Substitution
• 3.3 Solving by Elimination
• 3.4 Solving Applied Problems: Two Equations
• 3.5 Systems of Equations in Three Variables
• 3.6 Solving Applied Problems: Three Equations
• 3.7 Systems of Inequalities and Linear Programming

4. Polynomials and Polynomial Functions

• 4.1 Introduction to Polynomials and Polynomial Functions
• 4.2 Multiplication of Polynomials
• 4.3 Introduction to Factoring
• 4.4 Factoring Trinomials: x² + bx + c
• 4.5 Factoring Trinomials: ax² + bx + c, a _1
• 4.6 Special Factoring
• 4.7 Factoring: A General Strategy
• 4.8 Applications of Polynomial Equations and Functions

5. Rational Expressions, Equations, and Functions

• 5.1 Rational Expressions and Functions: Multiplying, Dividing, and Simplifying
• 5.2 LCMs, LCDs, Addition, and Subtraction
• 5.3 Division of Polynomials
• 5.4 Complex Rational Expressions
• 5.5 Solving Rational Equations
• 5.6 Applications and Proportions
• 5.7 Formulas and Applications
• 5.8 Variation and Applications

6. Radical Expressions, Equations, and Functions

• 6.1 Radical Expressions and Functions
• 6.2 Rational Numbers as Exponents
• 6.3 Simplifying Radical Expressions
• 6.4 Addition, Subtraction, and More Multiplication
• 6.5 More on Division of Radical Expressions
• 6.6 Solving Radical Equations
• 6.7 Applications Involving Powers and Roots
• 6.8 Increasing, Decreasing, and Piecewise Functions; Applications

7. Quadratic Functions and Equations

• 7.1 Symmetry
• 7.2 Transformations
• 7.3 The Complex Numbers
• 7.4 Quadratic Equations, Functions, Zeros, and Models
• 7.5 Analyzing Graphs of Quadratic Functions

8. Polynomial Functions and Rational Functions

• 8.1 Polynomial Functions and Models
• 8.2 Graphing Polynomials Functions
• 8.3 Polynomial Division; The Remainder Theorem and the Factor Theorem
• 8.4 Theorems about Zeros of Polynomial Functions
• 8.5 Rational Functions
• 8.6 Polynomial Inequalities and Rational Inequalities

9. Exponential Functions and Logarithmic Functions

• 9.1 The Composition of Functions
• 9.2 Inverse Functions
• 9.3 Exponential Functions and Graphs
• 9.4 Logarithmic Functions and Graphs
• 9.5 Properties of Logarithmic Functions
• 9.6 Solving Exponential Equations and Logarithmic Equations
• 9.7 Applications and Models: Growth and Decay; Compound Interest

10 Matrices

• 10.1 Matrices and Systems of Equations
• 10.2 Matrix Operations
• 10.3 Inverses of Matrices
• 10.4 Determinants and Cramer's Rule

11. Conic Sections

• 11.1 The Parabola
• 11.2 The Circle and the Ellipse
• 11.3 The Hyperbola
• 11.4 Nonlinear Systems of Equations and Inequalities

12. Sequences, Series, and Combinatorics

• 12.1 Sequences and Series
• 12.2 Arithmetic Sequences and Series
• 12.3 Geometric Sequences and Series
• 12.4 Mathematical Induction
• 12.5 Combinatorics: Permutations
• 12.6 Combinatorics: Combinations
• 12.7 The Binomial Theorem
• 12.8 Probability

Appendix

• A.1 Partial Fractions