
Greate Book

Table of Contents
1. Introduction to Algebraic Expressions
Introduction to Algebra
The Commutative, Associative, and Distributive Laws
Fraction Notation
Positive and Negative Real Numbers
Addition of Real Numbers
Subtraction of Real Numbers
Multiplication and Division of Real Numbers
Exponential Notation and Order of Operations
2. Equations, Inequalities, and Problem Solving
Solving Equations
Using the Principles Together
Formulas
Applications with Percent
Problem Solving
Solving Inequalities
Solving Applications with Inequalities
3. Introduction to Graphing
Reading Graphs, Plotting Points, and Scaling Graphs
Graphing Linear Equations
Graphing and Intercepts
Rates
Slope
Slope-Intercept Form
Point-Slope Form
4. Polynomials
Exponents and Their Properties
Negative Exponents and Scientific Notation
Polynomials
Addition and Subtraction of Polynomials
Multiplication of Polynomials
Special Products
Polynomials in Several Variables
Division of Polynomials
5. Polynomials and Factoring
Introduction to Factoring
Factoring Trinomials of the Type x2 + bx + c
Factoring Trinomials of the Type ax2 + bx + c
Factoring Perfect-Square Trinomials and Differences of Squares
Factoring Sums or Differences of Cubes
Factoring: A General Strategy
Solving Quadratic Equations by Factoring
Solving Applications
6. Rational Expressions and Equations
Rational Expressions
Multiplication and Division
Addition, Subtraction, and Least Common Denominators
Addition and Subtraction with Unlike Denominators
Complex Rational Expressions
Solving Rational Equations
Applications Using Rational Equations and Proportions
7. Functions and Graphs
Introduction to Functions
Domain and Range
Graphs of Functions (including brief review of graphing)
The Algebra of Functions
Formulas, Applications, and Variation
8. Systems of Equations and Problem Solving
Systems of Equations in Two Variables
Solving by Substitution or Elimination
Solving Applications: Systems of Two Equations
Systems of Equations in Three Variables
Solving Applications: Systems of Three Equations
Elimination Using Matrices
Determinants and Cramer's Rule
Business and Economics Applications
9. Inequalities and Problem Solving
Inequalities and Domain
Intersections, Unions, and Compound Inequalities
Absolute-Value Equations and Inequalities
Inequalities in Two Variables
Applications Using Linear Programming
10. Exponents and Radicals
Radical Expressions and Functions
Rational Numbers as Exponents
Multiplying Radical Expressions
Dividing Radical Expressions
Expressions Containing Several Radical Terms
Solving Radical Equations
The Distance and Midpoint Formulas and Other Applications
The Complex Numbers
11. Quadratic Functions and Equations
Quadratic Equations
The Quadratic Formula
Studying Solutions of Quadratic Equations
Applications Involving Quadratic Equations
Equations Reducible to Quadratic
Quadratic Functions and Their Graph
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