Two-Step Equations - Worksheet 9 - 8th Grade
HardSolve equations requiring two inverse operations (Hard)
30 problems · 15-20 minutes · Skills: algebra, inverse operations, multi-step
About This Worksheet
This hard-level worksheet contains 30 problems designed for 8th Grade students practicing two-step equations. Hard worksheets feature challenging problems including multi-step questions, missing values, and real-world applications to push students further.
Two-step equations require sequential, logical thinking — a core algebraic habit of mind. Mastery here directly enables success with multi-step equations, systems, and any algebraic reasoning encountered in later courses.
- Undo two operations in the correct reverse order to solve equations
- Solve two-step equations with rational number coefficients
- Write two-step equations to model real-world situations
- Apply two-step equations to find unknown quantities in geometry formulas
- Solve two-step equations involving negative coefficients and constants
How to Solve: Worked Example
- Move variable terms to one side: subtract 3x from both sides.
- 5x − 3x + 2 = 10 → 2x + 2 = 10.
- Subtract 2 from both sides: 2x = 8.
- Divide by 2: x = 4.
- Check: 5(4) + 2 = 22, and 3(4) + 10 = 22. Correct!
Answer Key
Frequently Asked Questions
How do I download this two-step equations - worksheet 9 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, inverse operations, multi-step. 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 30 problems. It typically takes 15-20 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.