Prealgebra & Introductory Algebra

by D. Franklin Wright

Prealgebra & Introductory Algebra reviews basic arithmetic and introduces students to algebra. The first three chapters teach students basic arithmetic skills and how to solve equations. Then, students learn geometrical concepts, such as perimeter, area, and volume. Later on in the text, students learn how to develop key algebraic skills and concepts, such as exponential and logarithmic functions.

Formats: Software, Textbook, Guided Notebook

Product ISBN
Courseware + eBook* 978‑1‑941552‑63‑6
Courseware + eBook* + Textbook 978-1-941552-20-9
Courseware + eBook* + Textbook + Guided Notebook 978-1-946158-33-8
Courseware + eBook* + Guided Notebook 978-1-946158-30-7
Textbook 978-1-932628-91-3
Guided Notebook 978-1-946158-01-7
* Included eBook can only be accessed online through the courseware.

Resources

  1. Formulas
  2. Glossary

Table of Contents

  1. Chapter 1: Whole Numbers, Integers, and Introduction to Solving Equations
    1. 1.1 Introduction to Whole Numbers
    2. 1.2 Addition and Subtraction with Whole Numbers
    3. 1.3 Multiplication and Division with Whole Numbers
    4. 1.4 Problem Solving with Whole Numbers
    5. 1.5 Solving Equations with Whole Numbers ( x + b = c and a x = c)
    6. 1.6 Exponents and Order of Operations
    7. 1.7 Introduction to Polynomials I
    8. 1.8 Introduction to Integers
    9. 1.9 Addition with Integers
    10. 1.10 Subtraction with Integers
    11. 1.11 Multiplication and Division with Integers, Order of Operations
    12. 1.12 Applications: Change in Value and Mean
    13. 1.13 Introduction to Like Terms and Polynomials
    14. 1.14 Solving Equations with Integers ( x + b = c and a x + c)
  2. Chapter 2: Fractions, Mixed Numbers, and Proportions
    1. 2.1 Tests for Divisibility
    2. 2.2 Prime Numbers
    3. 2.3 Prime Factorizations
    4. 2.4 Least Common Multiples (LCM)
    5. 2.5 Reducing and Multiplication to Fractions
    6. 2.6 Division with Fractions
    7. 2.7 Addition and Subtraction with Fractions
    8. 2.8 Introduction to Mixed Numbers
    9. 2.9 Multiplication and Division with Mixed Numbers
    10. 2.10 Addition and Subtraction with Mixed Numbers
    11. 2.11 Complex Fractions and Order of Operations
    12. 2.12 Solving Equations with Fractions ( a x + b = c)
    13. 2.13a Ratios and Price per Unit
    14. 2.13b Finding the Unknown Term in a Porportion
  3. Chapter 3: Decimals, Percents, and Square Roots
    1. 3.1 Reading, Writing, and Rounding Decimal Numbers
    2. 3.2 Addition and Subtraction with Decimal Numbers
    3. 3.3 Multiplication and Division with Decimal Numbers
    4. 3.4 Measures of Center
    5. 3.5 Decimals, Fractions, and Scientific Notation
    6. 3.6 Basics of Percent
    7. 3.7 Applications of Percent
    8. 3.8 Simple and Compound Interest
    9. 3.9 Square Roots
  4. Chapter 4: Geometry and Graphs
    1. 4.1a Metric System: Length and Area
    2. 4.1b Metric System: Weight and Volume
    3. 4.2 US Customary Measurements and Metric Equivalents
    4. 4.3 Introduction to Geometry
    5. 4.4 Formulas for Perimeter
    6. 4.5 Formulas for Area
    7. 4.6 Formulas for Volume
    8. 4.7 Similarity
    9. 4.8 The Pythagorean Theorem
    10. 4.9 Reading Graphs
  5. Chapter 5: Algebraic Expressions, Linear Equations, and Applications
    1. 5.1a Variables and Algebraic
    2. 5.1b Simplifying Expressions
    3. 5.1c Evaluating Algebraic Expressions
    4. 5.2 Translating English Phrases and Algebraic Expressions
    5. 5.3a Solving Linear Equations Using Addition and Subtraction
    6. 5.3b Solving Linear Equations Using Multiplication and Division
    7. 5.4 Solving Linear Equations: a x + b = c
    8. 5.5 Solving Linear Equations: a x + b = c x + d
    9. 5.6 Introduction to Problem Solving
    10. 5.7 Applications with Percents
    11. 5.8 Working with Formulas
    12. 5.9 Applications: Distance-Rate-Time, Interest, Mean
  6. Chapter 6: Graphing Linear Equations
    1. 6.1 The Cartesian Coordinate System
    2. 6.2 Graphing Linear Equations in Two Variables: a x + b y = c
    3. 6.3 The Slope-Intercept Form: y = m x + b
    4. 6.4 The Point-Slope Form
    5. 6.5a Solving Linear Inequalities
    6. 6.5b Graphing Linear Inequalities
    7. 6.6 Introduction to Functions and Function Notation
  7. Chapter 7: Exponents, Polynomials, and Factoring Techniques
    1. 7.1a Simplifying Integer Exponents I
    2. 7.1b Simplifying Integer Exponents II
    3. 7.2 Introduction to Polynomials II
    4. 7.3 Addition and Subtraction with Polynomials
    5. 7.4 Multiplication with Polynomials
    6. 7.5a The FOIL Method
    7. 7.5b Special Products
    8. 7.6a Division by a Monomial
    9. 7.6b Greatest Common Factor of Two or More Terms
    10. 7.6c Greatest Common Factor of a Polynomial
    11. 7.7 Factoring Trinomials: x2 + b x + c
    12. 7.8a Factoring Trinomials by Trial and Error
    13. 7.8b Fatoring Trinomials by Grouping
    14. 7.9a Special Factorizations - Squares
    15. 7.9b Special Factorizations - Cubes
    16. 7.10 Solving Quadratic Equations by Factoring
    17. 7.11 Applications of Quadratic Equations
  8. Chapter 8: Systems of Linear Equations
    1. 8.1 Systems of Equations: Solutions by Graphing
    2. 8.2 Systems of Equations: Solutions by Substitution
    3. 8.3 Systems of Equations: Solutions by Addition
    4. 8.4 Applications: Distance-Rate-Time, Number Problems, Amounts and Costs
    5. 8.5 Applications: Interest and Mixture
    6. 8.6 Systems of Linear Equations: Three Variables
    7. 8.7 Matrices and Gaussian Elimination
    8. 8.8 Systems of Linear Inequalities
  9. Chapter 9: Roots and Radicals
    1. 9.1 Evaluating Radicals
    2. 9.2 Simplifying Radicals
    3. 9.3 Rational Exponents
    4. 9.4a Addition and Subtraction with Radicals
    5. 9.4b Multiplication with Radicals
    6. 9.4c Rationalizing Denominators
    7. 9.5 Solving Radical Equations
    8. 9.6 Functions with Radicals
  10. Chapter 10: Exponential and Logarithmic Functions
    1. 10.1 Algebra of Functions
    2. 10.2 Composite and Inverse Functions
    3. 10.3 Exponential Functions
    4. 10.4 Logarithmic Functions
    5. 10.5 Properties of Logarithms
    6. 10.6 Common Logarithms and Natural Logarithms
    7. 10.7 Exponential and Logarithmic Equations
  11. Chapter 11: Rational Expressions
    1. 11.1a Defining Rational Expressions
    2. 11.1b Multiplication and Division with Rational Expressions
    3. 11.2 Addition and Subtraction with Rational Expressions
    4. 11.3 Complex Fractions
    5. 11.4 Solving Equations with Rational Expressions
    6. 11.5 Applications: Rational Expressions
    7. 11.6 Applications: Variation
    8. 11.7a The Division Algorithm
    9. 11.7b Synthetic Division
  12. Chapter 12: Complex Numbers and Quadratic Equations
    1. 12.1a Complex Numbers
    2. 12.1b Multiplication and Division with Complex Numbers
    3. 12.2a Quadratic Equations: The Square Root Method
    4. 12.2b Quadratic Equations: Completing the Square
    5. 12.3 Quadratic Equations: The Quadratic Formula
    6. 12.4 Applications: Quadratic Equations
    7. 12.5 Graphing Parabolas
  13. Appendix
    1. A.1 Scientific Notation
    2. A.2a Solving Absolute Value Equations (Web Product Only)
    3. A.2b Solving Absolute Value Inequalities (Web Product Only)