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Math B75: Fundamentals of Algebra

Preface

0 - The Basics

  • Chapter Introduction
  • 0.1 - Notation and Symbols
  • 0.2 - Real Numbers
  • 0.3 - Addition with Real Numbers
  • 0.4 - Subtraction of Real Numbers
  • 0.5 - Properties of Real Numbers
  • 0.6 - Multiplication of Real Numbers
  • 0.7 - Division of Real Numbers
  • 0.8 - Subsets of the Real Numbers
  • 0.9 - Addition and Subtraction with Fractions
  • 0.10 - Percents, Decimals, and Fractions
  • 0.11 - Percent Problems
  • 0.12 - General Applications of Percent
  • 0.13 - Sales Tax and Commission
  • 0.14 - Percent Increase or Decrease, and Discount
  • Chapter Test & Summary

1 - Linear Equations and Inequalities

  • Chapter Introduction
  • 1.1 - Simplifying Expressions
  • 1.2 - Addition Property of Equality
  • 1.3 - Multiplication Property of Equality
  • 1.4 - Solving Linear Equations
  • 1.5 - Formulas
  • 1.6 - Applications
  • 1.7 - More Applications
  • 1.8 - Linear Inequalities
  • 1.9 - Compound Inequalities
  • Chapter Test & Summary

2 - Linear Equations and Inequalities in Two Variables

  • Chapter Introduction
  • 2.1 - Paired Data and Graphing Ordered Pairs
  • 2.2 - Solutions to Linear Equations in Two Variables
  • 2.3 - Graphing Linear Equations in Two Variables
  • 2.4 - More on Graphing: Intercepts
  • 2.5 - The Slope of a Line
  • 2.6 - Finding the Equation of a Line
  • 2.7 - Statistics: Mean, Median, and Mode, Variance and Standard Deviation
  • 2.8 - Regression Analysis and the Coefficient of Correlation
  • 2.9 - Linear Inequalities in Two Variables
  • Chapter Test & Summary

3 - Systems of Linear Equations

  • Chapter Introduction
  • 3.1 - Solving Linear Systems by Graphing
  • 3.2 - The Elimination Method
  • 3.3 - The Substitution Method
  • 3.4 - Systems of Linear Equations in Three Variables
  • 3.5 - Matrix Solutions to Linear Systems
  • 3.6 - Determinants and Cramer’s Rule
  • 3.7 - Applications of Systems of Equations
  • 3.8 - Systems of Linear Inequalities
  • Chapter Test & Summary

4 - Exponents and Polynomials

  • Chapter Introduction
  • 4.1 - Multiplication with Exponents
  • 4.2 - Division with Exponents
  • 4.3 - Operations with Monomials
  • 4.4 - Addition and Subtraction of Polynomials
  • 4.5 - Multiplication with Polynomials
  • 4.6 - Binomial Squares and Other Special Products
  • 4.7 - Dividing a Polynomial by a Monomial
  • 4.8 - Dividing a Polynomial by a Polynomial
  • Chapter Test & Summary

5 - Factoring

  • Chapter Introduction
  • 5.1 - The Greatest Common Factor and Factoring by Grouping
  • 5.2 - Factoring Trinomials
  • 5.3 - More Trinomials to Factor
  • 5.4 - The Difference of Two Squares
  • 5.5 - The Sum and Difference of Two Cubes
  • 5.6 - Factoring: A General Review
  • 5.7 - Solving Equations by Factoring
  • 5.8 - Applications
  • Chapter Test & Summary

6 - Functions and Function Notation

  • Chapter Introduction
  • 6.1 - Introduction to Functions
  • 6.2 - Function Notation
  • 6.3 - Variation
  • 6.4 - Algebra and Composition with Functions
  • Chapter Test & Summary

7 - Rational Expressions and Rational Functions

  • Chapter Introduction
  • 7.1 - Basic Properties and Reducing to Lowest Terms
  • 7.2 - Multiplication and Division of Rational Expressions
  • 7.3 - Addition and Subtraction of Rational Expressions
  • 7.4 - Complex Fractions
  • 7.5 - Equations with Rational Expressions
  • 7.6 - Applications
  • 7.7 - Division of Polynomials
  • Chapter Test & Summary

8 - Rational Exponents and Roots

  • Chapter Introduction
  • 8.1 - Rational Exponents
  • 8.2 - Simplified Form for Radicals
  • 8.3 - Addition and Subtraction of Radical Expressions
  • 8.4 - Multiplication and Division of Radical Expressions
  • 8.5 - Equations Involving Radicals
  • 8.6 - Complex Numbers
  • Chapter Test & Summary

9 - Quadratic Equations

  • Chapter Introduction
  • 9.1 - Completing the Square
  • 9.2 - The Quadratic Formula
  • 9.3 - More Equations
  • 9.4 - Graphing Parabolas
  • 9.5 - Quadratic Inequalities
  • Chapter Test & Summary

10 - Absolute Value and Set Theory

  • Chapter Introduction
  • 10.1 - Inductive and Deductive Reasoning
  • 10.2 - Review of Solving Equations
  • 10.3 - Equations with Absolute Value
  • 10.4 - Interval Notation and Compound Inequalities
  • 10.5 - Inequalities Involving Absolute Value
  • Chapter Test & Summary

11 - Introduction to Trigonometry

  • Chapter Introduction
  • 11.1 - Degrees, Radians, and Special Triangles
  • 11.2 - Trigonometric Functions and Calculators
  • 11.3 - Sine and Cosine Graphs
  • Chapter Test & Summary

12 - Exponential and Logarithmic Functions

  • Chapter Introduction
  • 12.1 - Exponential Functions
  • 12.2 - The Inverse of a Function
  • 12.3 - Logarithms are Exponents
  • 12.4 - Properties of Logarithms
  • 12.5 - Common Logarithms and Natural Logarithms
  • 12.6 - Exponential Equations and Change of Base
  • Chapter Test & Summary

Answers

Index

  • Help
  • Supplements
  • Examples
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Book Info

  • Title: Math B75: Fundamentals of Algebra
  • Author: Charles P. McKeague
  • Publisher: XYZ Textbooks
  • Format & ISBN:
    Paperback and eBook: 978-1-63098-241-6 extra ui element
    ISBN-13: 978-1-63098-241-6
    ISBN-13: 9781630982416
    ISBN-10: 1-63098-241-5
    ISBN-10: 1630982415
  • Printed Textbook Price:
    Paperback and eBook: $75.00
  • eBook-only Price: $45
  • eBook | $45
  • Printed Book | $75
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