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Preparation for Algebra

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Preparation for Algebra

by J. Louis Nanney and John L. Cable

Preparation for Algebra introduces algebraic concepts as basic skills in arithmetic are presented. The reasons for this integration are threefold. First, the students will have more interest in learning the skills of arithmetic when the purpose for solving algebra is revealed. Second, the fact that algebra is an extension of arithmetic will become apparent to the student. Third, the concepts of algebra that are introduced will enhance the student's potential for success in a subsequent course in elementary algebra. New topics, one at a time, are introduces resulting in a text that is easily understood and easy to use in the classroom.

Formats: Textbook

Product ISBN
Textbook 978‑0‑697‑12801‑0

Table of Contents

  1. Chapter 1: Whole Numbers and The Language of Algebra
    1. 1-1 Words and Symbols that Identify Operations
    2. 1-2 Reading and Writing Whole Numbers
    3. 1-3 Exponents and Expanded Form
    4. 1-4 Adding Whole Numbers
    5. 1-5 Subtracting Whole Numbers
    6. 1-6 Algebraic Expressions
    7. 1-7 Adding and Subtracting Like Terms
    8. 1-9 Rounding Whole Numbers
  2. Chapter 2: Algebraic Expressions Involving Whole Numbers
    1. 2-1 Multiplying Whole Numbers
    2. 2-2 Dividing Whole Numbers
    3. 2-3 Grouping Symbols and Order of Operations
    4. 2-4 Evaluating Algebraic Expressions
    5. 2-5 The Multiplication Law of Exponents
    6. 2-6 Multiplying Monomials
    7. 2-7 Factors and Prime Factorization
    8. 2-8 Greatest Common Factor and Least Common Multiple
  3. Chapter 3: Fractions
    1. 3-1 Simplifying Fractions
    2. 3-2 Multiplying Fractions
    3. 3-3 Dividing Fractions
    4. 3-4 Adding and Subtracting Fractions
    5. 3-5 Mixed Numbers
  4. Chapter 4: Decimals
    1. 4-1 Expanded Form and Reading and Writing Decimals
    2. 4-2 Rounding Decimals
    3. 4-3 Adding and Subtracting Decimal Numbers
    4. 4-4 Multiplying Decimal Numbers
    5. 4-5 Dividing Decimal Numbers by Whole Numbers
    6. 4-6 Dividing by Decimal Numbers
    7. 4-7 Interchanging Common Fractions and Decimals
  5. Chapter 5: Concepts and Formulas from Geometry
    1. 5-1 Angles and Their Measure
    2. 5-2 Polygons
    3. 5-3 Quadrilaterals–Perimeter and Area
    4. 5-4 Triangles–Perimeter and Area
    5. 5-5 Circles–Circumference and Area
    6. 5-6 Volume of Some Geometric Figures
    7. 5-7 Applied Problems Involving Geometric Formulas
  6. Chapter 6: Operations on Signed Numbers
    1. 6-1 Signed Numbers
    2. 6-2 Using the Number Line to Add Signed
    3. 6-3 Numbers
    4. 6-4 Rules for Adding Signed Numbers
    5. 6-5 Subtracting Signed Numbers
    6. 6-6 Adding and Subtracting Like Terms Involving Signed Numbers
    7. 6-7 Multiplying and Dividing Signed Numbers
  7. Chapter 7: Using Signed Numbers
    1. 7-1 Exercises Using Signed Numbers
    2. 7-2 Scientific Notation
    3. 7-3 Square Roots
    4. 7-4 The Pythagorean Theorem
    5. 7-5 Real Numbers
  8. Chapter 8: Solving Equations
    1. 8-1 Polynomials
    2. 8-2 Conditional Equations
    3. 8-3 The Addition Property of Equality
    4. 8-4 The Multiplication Property of Equality
    5. 8-5 Using More Than One Property to Solve Equations
  9. Chapter 9: Ratios Proportion, and Percent
    1. 9-1 Ratios
    2. 9-2 Proportions
    3. 9-3 Problems Involving Proportions
    4. 9-4 Metric Measurement
    5. 9-5 Percent
    6. 9-6 Problems Involving Percents
  10. Chapter 10: Interpreting Data from Statistics and Graphs
    1. 10-1 Statistics
    2. 10-2 Pictographs and Tables
    3. 10-3 Bar Graphs and Line Graphs
    4. 10-4 Circle Graphs
  11. Chapter 11: Analyzing Word Problems
    1. 11-1 Translating Phrases from Words to Algebra
    2. 11-2 Representing Unknowns as Algebraic Expressions
    3. 11-3 A Strategy for Solving Word Problems