Module-Lessons

IX. - Rational and Radical Equations

Modules

Algebra15 – Simplifying Rational Expressions

A15.1 – Finding Restricted Values of Rational Expressions

  • Rational Expression Restrictions Degree 1
  • Rational Expression with More Than One Restricted Value
  • Conclusion

A15.2 – Simplifying Rational Expressions

  • Simplifying Rational Expressions
  • Negative One Technique
  • Simplifying Rational Expressions Containing Trinomials
  • Conclusion

A15.3 – Multiplying and Dividing Rational Expressions

  • Multiplying Rational Expressions with Monomials
  • Multiplying Rational Expressions with Binomials and Trinomials
  • Dividing Rationals Expressions
  • Conclusion

A15.4 – Adding and Subtracting Rational Expressions

  • Adding and Subtracting Rational Expressions with Like Denominators
  • Adding and Subtracting Rational Expressions with Unlike Denominators
  • Conclusion

Algebra16 – Solving Rational Equations

A16.1 – Solving Rational Equations

  • Solving Rational Equations
  • Conclusion

A16.2 – Solving Problems Using Direct Variation

  • Direct Variation
  • Applications of Inverse Variation
  • Conclusion

A16.3 -Solving Problems Using Inverse Variation

  • Inverse Variation
  • Applications of Inverse Variation
  • Conclusion

A16.4 – Solving Various Types of Problems Using Rational Equations

  • Solving Work Problems
  • Solving Uniform Motion Problems
  • Conclusion

Algebra17 – Simplifying Radical Expressions

A17.1 – Simplifying Radicals

  • Square Roots
  • Product Property of Square Roots
  • Square Roots and Negatives
  • Cube Roots
  • Product Property of Cube Roots
  • Roots of Variable Expressions
  • Conclusion

A17.2 – Adding and Subtracting Radicals

  • Adding and Subtracting Simplified Radicals
  • Simplify Before Adding and Subtracting Radicals
  • Adding and Subtracting Radicals with Variables
  • Conclusion

A17.3 – Multiplying Radicals

  • Monomial Times Monomial
  • Monomial Times Binomial
  • Binomial Times Binomial
  • Conclusion

A17.4 – Dividing Radicals

  • Quotient Property of Square Roots
  • Rationalizing the Denominator
  • Conclusion

Algebra18 – Solving Radical Equations

A18.1 – Solving One-Step Radical Equations

  • Solving Radical Equations of the Form sqrt x=a, a0
  • Solving Radical Equations of the Form – sqrt x=a, a<0
  • Solving Radical Equations Containing Negative Signs
  • Solving Cube Roots and 4th Root Equations
  • Conclusion

A18.2 – Solving Multi-Step Radical Equations

  • Solving Two-Step Radical Equations
  • Solving Multi-Step Radical Equations
  • Conclusion

A18.3 – Solving Problems Using Radical Equations

  • Length of aSkid Mark
  • Distance to Horizon
  • Speed of Sound
  • Pythagorean Theorem Application
  • Conclusion

A18.4 – Solving Problems Using the Distance and Midpoint Formulas

  • Pythagorean Theorem
  • Distance on a Number Line
  • Distance Formula
  • Using the Distance Formula to Solve Problems
  • Using the Midpoint Formula to Solve Problems
  • The Midpoint Formula
  • Conclusion