Exercise 2.1 — Simple Equations

Exercise 2.1 — Simple Linear Equations

Exercise 2.1 focuses on equations where the variable appears on one side only — the simplest type. These problems build computational fluency and reinforce the transposition method. Speed and accuracy in Exercise 2.1 translate directly to better performance in all algebraic topics that follow in Class 8 Mathematics.

Method and Common Mistakes

• Collect all variable terms on LHS, all constants on RHS — transpose one term at a time to avoid sign errors.
• If fractions appear, multiply both sides by the LCM of all denominators to clear them before solving.
• Show every transposition step on a separate line in board exams — marks are awarded per step.
• After solving, substitute x back into the original equation to verify: LHS must equal RHS exactly.
• Negative x values are valid answers — do not discard negative solutions without justification.

Speed Benchmark

In CBSE, Telangana and Andhra Pradesh board examinations, a standard Exercise 2.1 equation should take no more than 90 seconds. Time yourself on 10 equations per day during revision to build speed. Accuracy without speed costs marks when the clock runs out during a board exam.

How to Use This Lesson

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