Class 8 · Chapter 2

Linear Equations in One Variable

Solving equations with variables on both sides and word problems.

Read the full chapter
Tip: open the NCERT PDF for the original chapter text alongside the notes here.
Detailed theory
Isolate the variable using inverse operations: add/subtract same term, multiply/divide by same non-zero value on both sides.
Key concepts & formulas
01
Move variables to one side, constants to the other.
02
Multiply out fractions using LCM of denominators.
03
Check answer by substitution.
04
Equations with variables in denominator: cross-multiply.
05
Represent unknowns using appropriate variables.
Gyaan Maths — CBSE Class 6-10, built for board-toppers.
v1.1 · Feb 2026