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