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Introductory Mathematics

Table of Contents

Downloadable formats: PDF | Word

  • 1 Whole Numbers
  •               1.1              Place Value and Names for Numbers
  •               1.2              Addition with Whole Numbers, and Perimeter
  •               1.3              Rounding Numbers, Estimating Answers, and Displaying Information
  •               1.4              Subtraction with Whole Numbers
  •               1.5              Multiplication with Whole Numbers, and Area
  •               1.6              Division with Whole Numbers
  •               1.7              Exponents, Order of Operations, and Averages
  •               Chapter 1 Summary
  •               Chapter 1 Test

  • 2 Fractions 1: Multiplication and Division
  •               2.1              The Meaning and Properties of Fractions
  •               2.2              Prime Numbers, Factors, and Reducing to Lowest Terms
  •               2.3              Multiplication with Fractions, and the Area of a Triangle
  •               2.4              Division with Fractions
  •               Chapter 2 Summary
  •               Chapter 2 Test

  • 3 Fractions 2: Addition and Subtraction
  •               3.1              Addition and Subtraction with Fractions
  •               3.2              Mixed-Number Notation
  •               3.3              Multiplication and Division with Mixed Numbers
  •               3.4              Addition and Subtraction with Mixed Numbers
  •               3.5              Combinations of Operations and Complex Fractions
  •               Chapter 3 Summary
  •               Chapter 3 Test

  • 4 Decimals
  •               4.1              Decimal Notation and Place Value
  •               4.2              Addition and Subtraction with Decimals
  •               4.3              Multiplication with Decimals
  •               4.4              Division with Decimals
  •               4.5              Fractions and Decimals
  •               4.6              Square Roots and the Pythagorean Theorem
  •               Chapter 4 Summary
  •               Chapter 4 Test

  • 5 Ratio and Proportion
  •               5.1              Ratios
  •               5.2              Rates and Unit Pricing
  •               5.3              Solving Equations by Division
  •               5.4              Proportions
  •               5.5              Applications of Proportions
  •               5.6              Similar Figures
  •               Chapter 5 Summary
  •               Chapter 5 Test

  • 6 Percent
  •               6.1              Percents, Decimals, and Fractions
  •               6.2              Basic Percent Problems
  •               6.3              General Applications of Percent
  •               6.4              Sales Tax and Commission
  •               6.5              Percent Increase or Decrease and Discount
  •               6.6              Interest
  •               Chapter 6 Summary
  •               Chapter 6 Test
  • 7 Measurement
  •               7.1              Unit Analysis I: Length
  •               7.2              Unit Analysis II: Area and Volume
  •               7.3              Unit Analysis III: Weight
  •               7.4              Converting Between the Two Systems and Temperature
  •               7.5              Operations with Time and Mixed Units
  •               Chapter 7 Summary
  •               Chapter 7 Test

  • 8 Introduction to Algebra
  •               8.1              Positive and Negative Numbers
  •               8.2              Addition with Negative Numbers
  •               8.3              Subtraction with Negative Numbers
  •               8.4              Multiplication with Negative Numbers
  •               8.5              Division with Negative Numbers
  •               8.6              Simplifying Algebraic Expressions
  •               Chapter 8 Summary
  •               Chapter 8 Test

  • 9 Solving Equations
  •               9.1              The Distributive Property and Algebraic Expressions
  •               9.2              The Addition Property of Equality
  •               9.3              The Multiplication Property of Equality
  •               9.4              Linear Equations in One Variable
  •               9.5              Applications
  •               9.6              Evaluating Formulas
  •               Chapter 9 Summary
  •               Chapter 9 Test