Solving Radical Equations - Worksheet 3 - 9th Grade
EasySolve equations containing radical expressions (Easy)
15 problems · 20-25 minutes · Skills: radicals, equation solving, algebra
About This Worksheet
This easy-level worksheet contains 15 problems designed for 9th Grade students practicing solving radical equations. Easy worksheets use simpler numbers and straightforward problem types to build confidence and reinforce foundational skills.
Radical equations require a new strategy — squaring both sides — along with the essential habit of checking for extraneous solutions. This checking requirement teaches students that algebraic operations can introduce false solutions, building mathematical maturity and careful verification habits.
- Isolate the radical before squaring both sides to remove it
- Check all solutions for extraneous roots introduced by squaring
- Solve equations with two radicals by isolating one before squaring
- Apply the same technique to solve equations containing cube roots
- Identify when a potential solution is extraneous by substituting back into the original equation
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 radical 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 radical expressions worksheet cover?
This worksheet focuses on radicals, equation solving, algebra. It is designed for 9th 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 20-25 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.