Table of Contents
I. Getting Ready for Algebra
Chapter 1 - Operations on Real Numbers and Algebraic Expressions
1.1 Success in Mathematics
1.2 The Number Systems and the Real Number Line
1.3 Adding, Subtracting, Multiplying, and Dividing Integers
1.4 Adding, Subtracting, Multiplying, and Dividing Rational Numbers Expressed as Fractions and Decimals
1.5 Properties of Real Numbers
1.6 Exponents and the Order of Operations
1.7 Simplifying Algebraic Expressions
II. Developing Algebraic Skills Using One Unknown
Chapter 2-Equations and Inequalities in One Variable
2.1 Linear Equations: The Addition and Multiplication Properties of Equality
2.2 Linear Equations: Using the Properties Together
2.3 Solving Linear Equations Involving Fractions and Decimals; Classifying Equations
2.4 Evaluating Formulas and Solving Formulas for a Variable
2.5 Introduction to Problem Solving: Direct Translation Problems
2.6 Problem Solving: Direct Translation Problems Involving Percent
2.7 Problem Solving: Geometry and Uniform Motion
2.8 Solving Inequalities in One Variable
Chapter 3 - Polynomials
3.1 Adding and Subtracting Polynomials
3.2 Multiplying Monomials: The Product and Power Rules
3.3 Multiplying Polynomials
3.4 Dividing Monomials: The Quotient Rule and Integer Exponents
3.5 Dividing Polynomials
3.6 Applying Exponent Rules: Scientific Notation
Chapter 4 - Factoring Polynomials
4.1 Greatest Common Factor and Factoring by Grouping
4.2 Factoring Trinomials of the Form x2 + bx + c
4.3 Factoring Trinomials of the Form ax2 + bx + c, a ? 1
4.4 Factoring Special Products
4.5 Summary of Factoring Techniques
4.6 Solving Polynomial Equations by Factoring
4.7 Modeling and Solving Problems with Quadratic Equations
Chapter 5 - Rational Expressions and Equations
5.1 Simplifying Rational Expressions
5.2 Multiplying and Dividing Rational Expressions
5.3 Adding and Subtracting Rational Expressions with a Common Denominator
5.4 Finding the Least Common Denominator and Forming Equivalent Rational Expressions
5.5 Adding and Subtracting Rational Expressions with Unlike Denominators
5.6 Complex Rational Expressions
5.7 Rational Equations
5.8 Models Involving Rational Expressions
Chapter 6 - Radical Expressions and Equations
6.1 Introduction to Square Roots
6.2 Simplifying Square Roots
6.3 Adding and Subtracting Square Roots
6.4 Multiplying Expressions with Square Roots
6.5 Dividing Expressions with Square Roots
6.6 Solving Equations Containing Square Roots
6.7 Higher Roots and Rational Exponents
Chapter 7 - Quadratic Equations
7.1 Solving Quadratic Equations Using the Square Root Property
7.2 Solving Quadratic Equations by Completing the Square
7.3 Solving Quadratic Equations Using the Quadratic Formula
7.4 Problem Solving Using Quadratic Equations
7.5 The Complex Number System
III. Developing Algebraic Skills Using Two Unknowns
Chapter 8 - Introduction to Graphing and Equations of Lines
8.1 The Rectangular Coordinate System and Equations in Two Variables
8.2 Graphing Equations in Two Variables
8.3 Slope
8.4 Slope-Intercept Form of a Line
8.5 Point-Slope Form of a Line
8.6 Parallel and Perpendicular Lines
8.7 Variation
8.8 Linear Inequalities in Two Variables
Chapter 9 - Systems of Linear Equations and Inequalities
9.1 Solving Systems of Linear Equations by Graphing
9.2 Solving Systems of Linear Equations Using Substitution
9.3 Solving Systems of Linear Equations Using Elimination
9.4 Solving Direct Translation, Geometry, and Uniform Motion Problems Using Systems of Linear Equations
9.5 Solving Mixture Problems Using Systems of Linear Equations
9.6 Systems of Linear Inequalities
Chapter 10 - Graphs of Quadratic Equations in Two Variables and an Introduction to Functions
10.1 Quadratic Equations in Two Variables
10.2 Relations
10.3 An Introduction to Functions
Appendix
A.1 Fractions
A.2 Decimals and Percents
B. Geometry
C. Table of Square Roots
