Prealgebra

Table of Contents

1. The Whole Numbers
   • 1.1 Study Skill Tips for Success in Mathematics
   • 1.2 Place Value, Names for Numbers, and Reading Tables
   • 1.3 Adding and Subtracting Whole Numbers, and Perimeter
   • 1.4 Rounding and Estimating
   • 1.5 Multiplying Whole Numbers and Area
   • 1.6 Dividing Whole Numbers
     • Integrated Review–Operations on Whole Numbers
   • 1.7 Exponents and Order of Operations
   • 1.8 Introduction to Variables, Algebraic Expressions, and Equations
2. Integers and Introduction to Solving Equations
   • 2.1 Introduction to Integers
   • 2.2 Adding Integers
   • 2.3 Subtracting Integers
   • 2.4 Multiplying and Dividing Integers
     • Integrated Review–Integers
   • 2.5 Order of Operations
   • 2.6 Solving Equations: The Addition and Multiplication Properties
3. Solving Equations and Problem Solving
   • 3.1 Simplifying Algebraic Expressions
   • 3.2 Solving Equations: Review of the Addition and Multiplication Properties
     • Integrated Review–Expressions and Equations
   • 3.3 Solving Linear Equations in One Variable
   • 3.4 Linear Equations in One Variable and Problem Solving
4. Fractions and Mixed Numbers
   • 4.1 Introduction to Fractions and Mixed Numbers
   • 4.2 Factors and Simplest Form
   • 4.3 Multiplying and Dividing Fractions
   • 4.4 Adding and Subtracting Like Fractions, Least Common Denominator, and Equivalent Fractions
   • 4.5 Adding and Subtracting Unlike Fractions
     • Integrated Review–Summary on Fractions and Operations on Fractions
   • 4.6 Complex Fractions and Review of Order of Operations
   • 4.7 Operations on Mixed Numbers
   • 4.8 Solving Equations Containing Fractions
5. Decimals
   • 5.1 Introduction to Decimals
   • 5.2 Adding and Subtracting Decimals
   • 5.3 Multiplying Decimals and Circumference of a Circle
   • 5.4 Dividing Decimals
     • Integrated Review–Operations on Decimals
   • 5.5 Fractions, Decimals, and Order of Operations
   • 5.6 Solving Equations Containing Decimals
   • 5.7 Decimal Applications: Mean, Median, and Mode
6. Ratio, Proportion, and Triangle Applications
   • 6.1 Ratios and Rates
   • 6.2 Proportions
     • Integrated Review–Ratio, Rate, and Proportion
   • 6.3 Proportions and Problem Solving
   • 6.4 Square Roots and the Pythagorean Theorem
   • 6.5 Congruent and Similar Triangles
7. Percent
   • 7.1 Percents, Decimals, and Fractions
   • 7.2 Solving Percent Problems with Equations
   • 7.3 Solving Percent Problems with Proportions
     • Integrated Review–Percent and Percent Problems
   • 7.4 Applications of Percent
   • 7.5 Percent and Problem Solving: Sales Tax, Commission, and Discount
   • 7.6 Percent and Problem Solving: Interest
8. Graphing and Introduction to Statistics and Probability
   • 8.1 Pictographs, Bar Graphs, Histograms, Line Graphs, and Introduction to Statistics
   • 8.2 Circle Graphs
   • 8.3 The Rectangular Coordinate System and Paired Data
     • Integrated Review–Reading Graphs
   • 8.4 Graphing Linear Equations in Two Variables
   • 8.5 Counting and Introduction to Probability
9. Geometry and Measurement
   • 9.1 Lines and Angles
   • 9.2 Perimeter
   • 9.3 Area, Volume, and Surface Area
     • Integrated Review–Geometry Concepts
   • 9.4 Linear Measurement
   • 9.5 Weight and Mass
   • 9.6 Capacity
   • 9.7 Temperature and Conversions Between the U.S. and Metric Systems
10. Exponents and Polynomials
    • 10.1 Adding and Subtracting Polynomials
    • 10.2 Multiplication Properties of Exponents
      • Integrated Review–Operations on Polynomials
    • 10.3 Multiplying Polynomials
    • 10.4 Introduction to Factoring Polynomials

Appendix A: Tables

• A.1 Tables of Geometric Figures
• A.2 Table of Percents, Decimals, and Fraction Equivalents
• A.3 Table on Finding Common Percents of a Number
• A.4 Table of Squares and Square Roots

Appendix B: Quotient Rule and Negative Exponents

Appendix C: Scientific Notation

Appendix D: Geometric Formulas

Student Resources

• Study Skills Builders
• Bigger Picture–Study Guide Outline
• Practice Final Exam