Math9-12+
Guided Practice: Solving Rational Equations
By Meaghan D.
A guided practice worksheet for 9th grade that follows the 5-step LCD method for solving rational equations, with a worked example followed by a "Your Turn" section. It builds skills in finding the least common denominator, eliminating fractions, solving the resulting linear or quadratic equations, and checking for extraneous solutions.
Customize for your classroom
Teacher Guide & Tips
- Use this as a 45-minute guided practice after presenting the 5-step notes, working the first example together as a class before students attempt the "Your Turn" problems independently or in pairs.
- Discussion question: Why must we check our answers in the original equation, and what kinds of values would make a denominator zero?
- Scaffold for struggling readers: Have them write the restricted values (values that make any denominator zero) before multiplying by the LCD, and fill in each step of the worked example before moving on.
- Extension for advanced students: Ask them to create their own rational equation that produces an extraneous solution and explain why it occurs.
- Estimated time: About 30 minutes for the worked example and guided problems, plus 15 minutes for independent practice and a quick check of answers.
Math9-12+
Guided Practice: Solving Rational Equations
By Meaghan D.
A guided practice worksheet for 9th grade that follows the 5-step LCD method for solving rational equations, with a worked example followed by a "Your Turn" section. It builds skills in finding the least common denominator, eliminating fractions, solving the resulting linear or quadratic equations, and checking for extraneous solutions.
Customize for your classroom
Teacher Guide & Tips
- Use this as a 45-minute guided practice after presenting the 5-step notes, working the first example together as a class before students attempt the "Your Turn" problems independently or in pairs.
- Discussion question: Why must we check our answers in the original equation, and what kinds of values would make a denominator zero?
- Scaffold for struggling readers: Have them write the restricted values (values that make any denominator zero) before multiplying by the LCD, and fill in each step of the worked example before moving on.
- Extension for advanced students: Ask them to create their own rational equation that produces an extraneous solution and explain why it occurs.
- Estimated time: About 30 minutes for the worked example and guided problems, plus 15 minutes for independent practice and a quick check of answers.