Preparation for College Mathematics

by D. Franklin Wright

Preparation for College Mathematics 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, eBook, Guided Notebook

Product ISBN
Courseware + eBook 978‑1‑941552‑84‑1
Courseware + eBook + Textbook 978-1-941552-83-4
Guided Notebook 978‑1‑946158‑08‑6

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 (a + b = c and ax = c)
    6. 1.6 Exponents and Order of Operations
    7. 1.7 Introduction to Polynomials
    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 Average
    13. 1.13 Introduction to Like Terms and Polynomials
    14. 1.14 Solving Equations with Integers (x + b = c and ax + 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 Introduction 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 (ax + b = c)
    13. 2.13 Ratios and Proportions
  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. 4.1 Metric System: Weight and Volume
    2. 4.2 US Customary and Metric Equivalents
    3. 4.3 Introduction to Geometry
    4. 4.4 Length and Perimeter
    5. 4.5 Area
    6. 4.6 Volume
    7. 4.7 Similarity
    8. 4.8 The Pythagorean Theorem
    9. 4.9 Reading Graphs
  5. Chapter 5: Algebraic Expressions, Linear Equations, and Applications
    1. 5.1 Simplifying and Evaluating Algebraic Expressions
    2. 5.2 Translating English Phrases and Algebraic Expressions
    3. 5.3 Solving Linear Equations: x + b = c and ax = c
    4. 5.4 Solving Linear Equations: ax + b = c
    5. 5.5 Solving Linear Equations: ax + b = cx + d
    6. 5.6 Applications: Number Problems and Consecutive Integers
    7. 5.7 Applications: Percent Problems
    8. 5.8 Working with Formulas
    9. 5.9 Applications: Distance-Rate-Time, Interest, Average
  6. Chapter 6: Graphing Linear Equations
    1. 6.1 The Cartesian Coordinate System
    2. 6.2 Graphing Linear Equations in Two Variables
    3. 6.3 The Slope-Intercept Form
    4. 6.4 The Point-Slope Form
    5. 6.5 Linear Inequalities in One or Two Variables
    6. 6.6 Introduction to Functions and Function Notation
  7. Chapter 7: Exponents, Polynomials, and Factoring Techniques
    1. 7.1 Exponents
    2. 7.2 Introduction to Polynomials
    3. 7.3 Addition and Subtraction with Polynomials
    4. 7.4 Multiplication with Polynomials
    5. 7.5 Special Products of Polynomials
    6. 7.6 Greatest Common Factor (GCF) and Factoring by Grouping
    7. 7.7 Factoring Trinomials: x2 + bx + c
    8. 7.8 Factoring Trinomials: ax2 + bx + c
    9. 7.9 Special Factoring Techniques
    10. 7.10 Solving Quadratic Equations by Factoring
    11. 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 Radical Expressions
    2. 9.2 Simplifying Radical Expressions
    3. 9.3 Rational Exponents
    4. 9.4 Operating with Radicals
    5. 9.5 Solving Radical Equations
    6. 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 Logarithmic and Exponential Equations and Change-of-Base
  11. Chapter 11: Rational Expressions
    1. 11.1 Rational Expressions
    2. 11.2 Addition and Subtraction with Rational Expressions
    3. 11.3 Simplifying Complex Fractions
    4. 11.4 Solving Rational Equations
    5. 11.5 Applications: Rational Expressions
    6. 11.6 Applications: Variation
    7. 11.7 Polynomial Division
  12. Chapter 12: Complex Numbers and Quadratic Equations
    1. 12.1 Complex Numbers
    2. 12.2 Completing the Square and the Square Root Property
    3. 12.3 The Quadratic Formula
    4. 12.4 Applications
    5. 12.5 Graphs of Quadratic Equations