## 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

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

• Conclusion

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

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

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

• Conclusion

A18.3 – Solving Problems Using Radical Equations

• 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