Pre-Algebra (2nd edition)

Prealgebra 2e is designed to meet scope and sequence requirements for a one-semester prealgebra or basic math course. The book’s organization makes it easy to adapt to a variety of course syllabi. The text introduces the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics.

The second edition contains detailed updates and accuracy revisions to address comments and suggestions from users. Dozens of faculty experts worked through the text, exercises and problems, graphics, and and solutions to identify areas needing improvement. Though the authors made significant changes and enhancements, exercise and problem numbers remain nearly the same in order to ensure a smooth transition for faculty. 

Senior Contributing Authors

Lynn Marecek, Santa Ana College
MaryAnne Anthony-Smith, Formerly of Santa Ana College
Andrea Honeycutt Mathis, Northeast Mississippi Community College

Chapter 1 Whole Numbers
• Introduction
• 1.1 Introduction to Whole Numbers
• 1.2 Add Whole Numbers
• 1.3 Subtract Whole Numbers
• 1.4 Multiply Whole Numbers
• 1.5 Divide Whole Numbers
Chapter Review
o Key Terms
o Key Concepts
Exercises
o Review Exercises
o Practice Test

Chapter 2 The Language of Algebra
• Introduction to the Language of Algebra
• 2.1 Use the Language of Algebra
• 2.2 Evaluate, Simplify, and Translate Expressions
• 2.3 Solving Equations Using the Subtraction and Addition Properties of Equality
• 2.4 Find Multiples and Factors
• 2.5 Prime Factorization and the Least Common Multiple
Chapter Review
o Key Terms
o Key Concepts
Exercises
o Review Exercises
o Practice Test

Chapter 3 Integers
• Introduction to Integers
• 3.1 Introduction to Integers
• 3.2 Add Integers
• 3.3 Subtract Integers
• 3.4 Multiply and Divide Integers
• 3.5 Solve Equations Using Integers; The Division Property of Equality
Chapter Review
o Key Terms
o Key Concepts
Exercises
o Review Exercises
o Practice Test

Chapter 4 Fractions
• Introduction to Fractions
• 4.1 Visualize Fractions
• 4.2 Multiply and Divide Fractions
• 4.3 Multiply and Divide Mixed Numbers and Complex Fractions
• 4.4 Add and Subtract Fractions with Common Denominators
• 4.5 Add and Subtract Fractions with Different Denominators
• 4.6 Add and Subtract Mixed Numbers
• 4.7 Solve Equations with Fractions
Chapter Review
o Key Terms
o Key Concepts
Exercises
o Review Exercises
o Practice Test

Chapter 5 Decimals
• Introduction to Decimals
• 5.1 Decimals
• 5.2 Decimal Operations
• 5.3 Decimals and Fractions
• 5.4 Solve Equations with Decimals
• 5.5 Averages and Probability
• 5.6 Ratios and Rate
• 5.7 Simplify and Use Square Roots
Chapter Review
o Key Terms
o Key Concepts
Exercises
o Review Exercises
o Practice Test

Chapter 6 Percents
• Introduction to Percents
• 6.1 Understand Percent
• 6.2 Solve General Applications of Percent
• 6.3 Solve Sales Tax, Commission, and Discount Applications
• 6.4 Solve Simple Interest Applications
• 6.5 Solve Proportions and their Applications
Chapter Review
o Key Terms
o Key Concepts
Exercises
o Review Exercises
o Practice Test

Chapter 7 The Properties of Real Numbers
• Introduction to the Properties of Real Numbers
• 7.1 Rational and Irrational Numbers
• 7.2 Commutative and Associative Properties
• 7.3 Distributive Property
• 7.4 Properties of Identity, Inverses, and Zero
• 7.5 Systems of Measurement
Chapter Review
o Key Terms
o Key Concepts
Exercises
o Review Exercises
o Practice Test

Chapter 8 Solving Linear Equations
• Introduction to Solving Linear Equations
• 8.1 Solve Equations Using the Subtraction and Addition Properties of Equality
• 8.2 Solve Equations Using the Division and Multiplication Properties of Equality
• 8.3 Solve Equations with Variables and Constants on Both Sides
• 8.4 Solve Equations with Fraction or Decimal Coefficients
Chapter Review
o Key Terms
o Key Concepts
Exercises
o Review Exercises
o Practice Test

Chapter 9 Math Models and Geometry
• Introduction
• 9.1 Use a Problem Solving Strategy
• 9.2 Solve Money Applications
• 9.3 Use Properties of Angles, Triangles, and the Pythagorean Theorem
• 9.4 Use Properties of Rectangles, Triangles, and Trapezoids
• 9.5 Solve Geometry Applications: Circles and Irregular Figures
• 9.6 Solve Geometry Applications: Volume and Surface Area
• 9.7 Solve a Formula for a Specific Variable
Chapter Review
o Key Terms
o Key Concepts
Exercises
o Review Exercises
o Practice Test

Chapter 10 Polynomials
• Introduction to Polynomials
• 10.1 Add and Subtract Polynomials
• 10.2 Use Multiplication Properties of Exponents
• 10.3 Multiply Polynomials
• 10.4 Divide Monomials
• 10.5 Integer Exponents and Scientific Notation
• 10.6 Introduction to Factoring Polynomials
Chapter Review
o Key Terms
o Key Concepts
Exercises
o Review Exercises
o Practice Test

Chapter 11 Graphs
• Graphs
• 11.1 Use the Rectangular Coordinate System
• 11.2 Graphing Linear Equations
• 11.3 Graphing with Intercepts
• 11.4 Understand Slope of a Line
Chapter Review
o Key Terms
o Key Concepts
Exercises
o Review Exercises
o Practice Test