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JAC • Class 8 • Mathematics • Ch 8
Estimated Time: 45 Mins
Study Progress: In Progress

Linear Equations in One Variable

JCERT · Class 8 · Chapter 8 · Linear Equations in One Variable. Syllabus-aligned topic notes and teaching examples, not a complete textbook answer key.

Why This Chapter Matters

JCERT · Class 8 · Chapter 8 · Linear Equations in One Variable. Syllabus-aligned topic notes and teaching examples, not a complete textbook answer key.

Before You Begin (Prerequisites)

  • Revise the relevant ideas from the previous grade.

What You Will Learn (Core Objectives)

  • A linear equation in one variable has degree one. Preserve equality by applying the same operation to both sides. Expand brackets, collect like terms and clear nonzero denominators. Check the solution in the original equation.

Chapter Roadmap & Progression

1 Syllabus, textbook and notes alignm...
2 Concept and method
3 Check and common pitfall

Complete Concept Guide (100% Curriculum Coverage)

Syllabus, textbook and notes alignment

JCERT · Regular schools (Non-SOE) · Class 8 · Chapter 8 — Linear Equations in One Variable
Official syllabus pages 122–129. Official syllabus · Prescribed Hindi book (17 chapters).

These topic notes and teaching examples are not a complete answer key to every textbook exercise. English notes use this same JCERT chapter order; a matching English textbook PDF has not been verified.

Official Hindi PDF for this exact chapter

Concept and method

A linear equation in one variable has degree one. Preserve equality by applying the same operation to both sides. Expand brackets, collect like terms and clear nonzero denominators. Check the solution in the original equation.

Check and common pitfall

Substitution gives21−5=16 and7+9=16.

Key Formulas, Identities & Theorems

Key relationships
ax+b=c ⇒ x=(c−b)/a, a≠0
Observe formula conditions and units.

Conceptual Solved Examples & Case Studies

Example 1
Solve3x−5=x+9.
Step-by-Step Solution:

2x=14; x=7

Substitution gives21−5=16 and7+9=16.

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