Solving Equations with Unknown on Both Sides

This fully differentiated worksheet guides KS3 students through solving equations with variables on both sides, including negative coefficients and real-world applications. Designed to build fluency and deepen understanding, it’s ideal for classroom use, homework, or revision.
What’s Included:
• Part A: Warm-Up (Basic Level)
Straightforward equations to build confidence with balancing and isolating variables.
• Part B: Intermediate Practice (Includes Negatives)
More challenging equations involving negative terms and coefficients.
• Part C: Real-World Word Problems
Contextual problems requiring students to form and solve equations from everyday scenarios.
Key Features:
• Tiered structure for progressive challenge
• Covers essential KS3 algebra objectives
• Encourages reasoning, working out, and problem-solving
• Ready to use for differentiated instruction
• Suitable for Year 8–9 learners and GCSE foundation prep
Perfect For:
• Mixed-ability classrooms
• Homework or independent study
• Revision before assessments
• Reinforcing algebraic thinking