Developmental Mathematics: Prealgebra, Elementary Algebra, and Intermediate Algebra, 1st edition

1. Whole Numbers

• 1.1 Introduction to Numbers, Notation, and Rounding
• 1.2 Adding and Subtracting Whole Numbers; Solving Equations
• 1.3 Multiplying Whole Numbers; Solving Equations
• 1.4 Dividing Whole Numbers; Solving Equations
• 1.5 Order of Operations; Mean, Median, and Mode
• 1.6 More with Formulas

2. Integers

• 2.1 Introduction to Integers
• 2.2 Adding Integers
• 2.3. Subtracting Integers and Solving Equations
• 2.4 Multiplying and Dividing Integers; Exponents; Square Roots; Solving Equations
• 2.5 Order of Operations
• 2.6 Additional Applications and Problem Solving

3. Expressions

• 3.1 Translating and Evaluating Expressions
• 3.2 The Distributive Property; Combining Like Terms
• 3.3 Equations and their Solutions
• 3.4 The Addition Principle of Equality
• 3.5 The Multiplication Principle of Equality
• 3.6 Translating Word Sentences of Equations

4. Fractions

• 4.1 Prime Numbers and GCF
• 4.2 Introduction to Fractions
• 4.3 Simplifying Fractions
• 4.4 Multiplying Fractions and Mixed Numbers
• 4.5 Dividing Fractions and Mixed Numbers

5. Adding and Subtracting Fractions

• 5.1 Least Common Multiple
• 5.2 Adding and Subtracting Fractions and Mixed Numbers
• 5.3 Order of Operations; Evaluating and Simplifying Expressions
• 5.4 Solving Equations

6. Decimals

• 6.1 Introduction to Decimal Numbers
• 6.2 Adding and Subtracting Decimal Numbers
• 6.3 Multiplying Decimal Numbers; Exponents with Decimal Bases
• 6.4 Dividing Decimal Numbers; Square Roots with Decimals
• 6.5 Order of Operations and Applications in Geometry
• 6.6 Solving Equations and Problem Solving
• 6.7 Points, Lines, and Angles

7. Ratios, Proportions and Measurements

• 7.1 Ratios, Probability, and Rate
• 7.2 Proportions
• 7.3 American Measurement; Time
• 7.4 Metric Measurement
• 7.5 Converting between Systems; Temperature
• 7.6 Applications and Problem Solving

8. Percents

• 8.1 Introduction to Percent
• 8.2 Solving Basic Percent Sentences
• 8.3 Solving Percent Problems (Proportions)
• 8.4 Solving Problems Involving Percent of Increase or Decrease
• 8.5 Solving Problems Involving Interest

9. Linear Equations and Inequalities in One Variable

• 9.1 Linear Equations and Formulas
• 9.2 Solving Problems
• 9.3 Solving Linear Inequalities
• 9.4 Compound Inequalities
• 9.5 Equations Involving Absolute Value
• 9.6 Inequalities Involving Absolute Value

10. Graphing Linear Equations and Inequalities

• 10.1 The Rectangular Coordinate System
• 10.2 Graphing Linear Equations
• 10.3 Graphing Using Intercepts
• 10.4 Slope-Intercept Form
• 10.5 Point-Slope Form
• 10.6 Graphing Linear Inequalities
• 10.7 Introduction to Functions and Function Notation

11. Systems of Linear Equations and Inequalities

• 11.1 Solving Systems of Linear Equations Graphically
• 11.2 Solving Systems of Linear Equations by Substitution; Application
• 11.3 Solving Systems of Linear Equations by Elimination; Applications
• 11.4 Solving Systems of Linear Equations in Three Variables; Applications
• 11.5 Solving Systems of Linear Equations Using Matrices
• 11.6 Solving Systems of Linear Inequalities

12. Polynomials

• 12.1 Exponents and Scientific Notations
• 12.2 Introduction to Polynomials
• 12.3 Adding and Subtracting Polynomials
• 12.4 Exponent Rules and Multiplying Monomials
• 12.5 Multiplying Polynomials; Special Products
• 12.6 Exponent Rules and Dividing Polynomials

13. Factoring

• 13.1 Greatest Common Factor and Factoring by Grouping
• 13.2 Factoring Trinomials of the form x2+bx+c
• 13.3 Factoring Trinomials of the form ax2+bx+c, where a≠1
• 13.4 Factoring Special Products
• 13.5 Strategies for Factoring
• 13.6 Solving Quadratic Equations by Factoring
• 13.7 Graphs of Quadratic Equations and Functions

14. Rational Expressions and Equations

• 14.1 Simplifying Rational Expressions
• 14.2 Multiplying and Dividing Rational Expressions
• 14.3 Adding and Subtracting Rational Expressions with the Same Denominator
• 14.4 Adding and Subtracting Rational Expressions with Different Denominators
• 14.5 Complex Rational Expressions
• 14.6 Solving Equations Containing Rational Expressions
• 14.7 Applications with Rational Expressions, Including Variation

15. Rational Exponents, Radicals, and Complex Numbers

• 15.1 Radical Expressions and Functions
• 15.2 Rational Exponents
• 15.3 Multiplying, Dividing, and Simplifying Radicals
• 15.4 Adding, Subtracting, and Multiplying Radical Expressions
• 15.5 Rationalizing Numerators and Denominators of Radical Expressions
• 15.6 Radical Equations and Problem Solving
• 15.7 Complex Numbers

16. Quadratic Equations and Functions

• 16.1 The Square Root Principle and Completing the Square
• 16.2 Solving Quadratic Equations using the Quadratic Formula
• 16.3 Solving Equations the are Quadratic in Form
• 16.4 Graphing Quadratic Functions
• 16.5 Solving Nonlinear Inequalities
• 16.6 Function Operations

17. Exponential and Logarithmic Functions

• 17.1 Composite and Inverse Functions
• 17.2 Exponential Functions
• 17.3 Logarithmic Functions
• 17.4 Properties of Logarithms
• 17.5 Common and Natural Logarithms
• 17.6 Exponential and Logarithmic Equations with Applications

18. Conic Sections

• 18.1 Parabolas and Circles
• 18.2 Ellipses and Hyperbolas
• 18.3 Nonlinear Systems of Equations
• 18.4 Nonlinear Inequalities and Systems of Inequalities