Variables on Both Sides - Worksheet 10 - 8th Grade
HardSolve equations with variables on both sides of the equals sign (Hard)
27 problems · 20-25 minutes · Skills: algebra, equation solving, critical thinking
About This Worksheet
This hard-level worksheet contains 27 problems designed for 8th Grade students practicing variables on both sides. Hard worksheets feature challenging problems including multi-step questions, missing values, and real-world applications to push students further.
Variables on both sides mark a major step in algebraic sophistication. This equation type appears in applied mathematics, physics, and economics whenever two changing quantities are set equal — a structural pattern that recurs throughout STEM.
- Collect all variable terms on one side and constants on the other
- Apply the distributive property before solving
- Recognize when an equation has variables on both sides and plan a solution strategy
- Model rate and cost problems that naturally produce variables on both sides
- Identify equations that lead to no solution or infinitely many solutions
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 variables on both sides - worksheet 10 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 linear equations worksheet cover?
This worksheet focuses on algebra, equation solving, critical thinking. It is designed for 8th 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 27 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.