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Introductory Algebra

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Introductory Algebra

by D. Franklin Wright

Throughout the text, Introductory Algebra connects arithmetic and prealgebra to reasoning and more abstract skills provided in beginning algebra courses. The chapters contain ways to solve equations containing an absolute value term; the distance formula between two points; and techniques to solve quadratic, rational, and other nonlinear inequalities.

Formats: Software, Textbook, eBook, Guided Notebook

Product ISBN
Software + eBook 978-1-941552-18-6
Software + eBook + Guided Notebook 978-1-944894-21-4
Software + eBook + Textbook 978-1-941552-16-2
Student Solutions Manual 978-1-932628-65-4

Table of Contents

  1. Chapter R: Review of Basic Topics
    1. R.1 Review of Exponents and Order of Operations
    2. R.2 Review of Prime Numbers, Factoring and LCM
    3. R.3 Review of Fractions (Multiplication and Division)
    4. R.4 Review of Fractions (Addition and Subtraction)
    5. R.5 Review of Decimals and Percents
  2. Chapter 1: Integers and Real Numbers
    1. 1.1a Name That Real Number
    2. 1.1b Introduction to Absolute Values
    3. 1.2 Addition with Integers
    4. 1.3 Subtraction with Integers
    5. 1.4 Multiplication and Division with Real Numbers
    6. 1.5 Properties of Real Numbers
  3. Chapter 2: Fractions, Decimals, and Algebraic Expressions
    1. 2.1a Variables and Algebraic Expressions
    2. 2.1b Simplifying Expressions
    3. 2.1c Simplifying Expressions with Parentheses
    4. 2.1d Evaluating Algebraic Expressions
    5. 2.2a Reduction of Fractions
    6. 2.2b Multiplication and Division with Fractions
    7. 2.3 Addition and Subtraction with Fractions
    8. 2.4 Decimals and Fractions
    9. 2.5 Order of Operations with Negative Numbers and Fractions
    10. 2.6 Translating Phrases into Algebraic Expressions
  4. Chapter 3: Solving Linear Equations and Inequalities
    1. 3.1a Solving Linear Equations Using Addition and Subtraction
    2. 3.1b Applications of Linear Equations: Addition and Subtraction
    3. 3.1c Solving Linear Equations Using Multiplication and Division
    4. 3.1d Applications of Linear Equations: Multiplication and Division
    5. 3.2 Solving Linear Equations
    6. 3.3 More Linear Equations: ax + b = dx + c
    7. 3.4 Solving Linear Inequalities
    8. 3.5a Solving Formulas
    9. 3.5b Working with Formulas
    10. 3.6 Applications: Number Problems and Consecutive Integers
    11. 3.7 Percents and Applications
    12. 3.8 Formulas in Geometry
  5. Chapter 4: Graphing Linear Equations In Two Variables
    1. 4.1 Introduction to the Cartesian Coordinate System
    2. 4.2 Graphing Linear Equations by Plotting Points
    3. 4.3 The Slope-Intercept Form: y = mx + b
    4. 4.4 Finding the Equation of a Line
    5. 4.5 Introduction to Functions and Function Notation
    6. 4.6 Graphing Linear Inequalities
  6. Chapter 5: Systems of Linear Equations
    1. 5.1 Solving Systems of Linear Equations by Graphing
    2. 5.2 Solving Systems of Linear Equations by Substitution
    3. 5.3 Solving Systems of Linear Equations by Addition
    4. 5.4 Applications: Distance-Rate-Time, Number Problems, Amounts and Costs
    5. 5.5 Applications: Interest and Mixture
    6. 5.6 Systems of Linear Inequalities
  7. Chapter 6: Exponents and Polynomials
    1. 6.1 Simplifying Integer Exponents I
    2. 6.2a Simplifying Integer Exponents II
    3. 6.2b Scientific Notation
    4. 6.3a Identifying Polynomials
    5. 6.3b Evaluating Polynomials
    6. 6.4 Adding and Subtracting Polynomials
    7. 6.5a Multiplying a Polynomial by a Monomial
    8. 6.5b Multiplying Two Polynomials
    9. 6.6a The FOIL Method
    10. 6.6b Special Products
    11. 6.7a Division by a Monomial
    12. 6.7b The Division Algorithm
  8. Chapter 7: Factoring Polynomials and Solving Quadratic Equations
    1. 7.1a Greatest Common Factor of Two or More Terms
    2. 7.1b Greatest Common Factor of a Polynomial
    3. 7.1c Factoring Expressions by Grouping
    4. 7.2 Factoring Trinomials: Leading Coefficient 1
    5. 7.3a Factoring Trinomials by Grouping
    6. 7.3b Factoring Trinomials by Trial and Error
    7. 7.4 Special Factorizations - Squares
    8. 7.5 Solving Quadratic Equations by Factoring
    9. 7.6 Applications of Quadratic Equations
  9. Chapter 8: Rational Expressions
    1. 8.1a Defining Rational Expressions
    2. 8.1b Reducing Rational Expressions
    3. 8.2 Multiplication and Division of Rational Expressions
    4. 8.3 Addition and Subtraction of Rational Expressions
    5. 8.4 Complex Algebraic Fractions
    6. 8.5 Solving Equations Involving Rational Expressions
    7. 8.6 Applications Involving Rational Expressions
    8. 8.7 Additional Applications: Variation
  10. Chapter 9: Real Numbers and Radicals
    1. 9.1 Evaluating Radicals
    2. 9.2 Simplifying Radicals
    3. 9.3a Addition and Subtraction of Radicals
    4. 9.3b Multiplication of Radicals
    5. 9.4a Rationalizing Denominators
    6. 9.4b Division of Radicals
    7. 9.5 Solving Radical Equations
    8. 9.6 Rational Exponents
    9. 9.7 The Pythagorean Theorem
  11. Chapter 10: Quadratic Equations
    1. 10.1 Quadratic Equations: The Square Root Method
    2. 10.2 Quadratic Equations: Completing the Square
    3. 10.3 Quadratic Equations: The Quadratic Formula
    4. 10.4 Applications: Quadratic Equations
    5. 10.5 Graphing Parabolas
  12. Appendix
    1. A.1 Special Factorizations - Cubes
    2. A.2 Factoring Integers
    3. A.3 Translating Radical Phrases
    4. A.4 Additional Factoring Practice