Solving Rational Equations - Worksheet 3 - 11th Grade
EasySolve rational equations and check for extraneous solutions (Easy)
15 problems · 25-30 minutes · Skills: rational equations, equation solving, algebra
About This Worksheet
This easy-level worksheet contains 15 problems designed for 11th Grade students practicing solving rational equations. Easy worksheets use simpler numbers and straightforward problem types to build confidence and reinforce foundational skills.
Rational equations arise naturally in rate, work, and mixture problems, making this one of the most practically applicable algebra topics. The concept of extraneous solutions — values produced by algebraic manipulation that do not satisfy the original equation — is an important lesson that appears again in radical and logarithmic equations.
- Solve rational equations by multiplying through by the LCD to clear denominators
- Identify and reject extraneous solutions by checking in the original equation
- Apply rational equations to solve work rate and mixture problems
- Solve rational equations where the variable appears in multiple denominators
- Set up and solve distance-rate-time problems using rational equations
How to Solve: Worked Example
- Read the problem carefully.
- Identify what is being asked.
- Use what you know to find the answer.
- Check your work.
Answer Key
Frequently Asked Questions
How do I download this solving rational equations - worksheet 3 worksheet?
Click the "Download PDF / Print" button at the top of the worksheet. You can save it as a PDF or print it directly. The answer key will be on a separate page.
How do I find worksheets at different difficulty levels?
Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.
What skills does this rational functions worksheet cover?
This worksheet focuses on rational equations, equation solving, algebra. It is designed for 11th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.
Can I use this worksheet in my classroom?
Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.
How many problems are on this worksheet?
This worksheet contains 15 problems. It typically takes 25-30 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.