Skip to main content
Super TutorResources
Chapter 2 of 5
QuestionsNotesFlashcardsSummaryFormulasQuizConceptsSyllabusPlan
Revision Notes

Linear Equations in One Variable

Gujarat Board · Class 8 · Mathematics

Quick revision notes for Linear Equations in One Variable — Gujarat Board Class 8 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

45 questions5 concepts

Interactive on Super Tutor

Studying Linear Equations in One Variable? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for revision notes and more.

Try Super Tutor — Free

1,000+ Class 8 students started this chapter today

Key Topics to Revise

1

Key Definitions and Concepts

  • A linear expression has the variable raised to the power of 1 only. Example: 3x + 5, 2y - 7
  • A linear equation in one variable is formed by equating two linear expressions. Example: 3x + 5 = 2x + 9
  • The Left Hand Side (LHS) is the expression to the left of the '=' sign
2

Solving Equations with Variables on Both Sides

  • When variables appear on both sides, collect all variable terms on one side (usually LHS) and all constants on the other side (usually RHS)
  • Transpose variable terms to LHS and constant terms to RHS
  • When a term is transposed, its sign changes: + becomes − and − becomes +
3

Solving Equations with Fractions (Reducing to Simpler Form)

  • When an equation has fractions, multiply both sides by the LCM of all the denominators
  • This clears all fractions and gives a simpler equation to work with
  • After clearing fractions, solve the resulting simple equation step by step
4

Applications: Word Problems (Real-Life Equations)

  • Word problems require converting a given situation into a linear equation and then solving it
  • Read the problem carefully and identify: What is unknown? What information is given?
  • Assign a variable (usually x) to the unknown quantity

Get complete notes with diagrams and examples

Full Notes

Key Concepts

A linear equation in one variableAn expression is a mathematical phraseLinear expressions have variables appearing onlyThe fundamental concept behind solving equationsTransposition is a technique where we

Frequently Asked Questions

What are the important topics in Linear Equations in One Variable for Gujarat Board Class 8 Mathematics?
Key topics in Linear Equations in One Variable include Chapter Overview: Linear Equations in One Variable, Linear Equations in One Variable - Concept Overview, Linear Equations in One Variable — Complete Concept Map. These are the concepts Gujarat Board Class 8 examiners draw on most — study them first, then practise related questions.
How to score full marks in Linear Equations in One Variable — Gujarat Board Class 8 Mathematics?
Understand the core concepts first, then work through the 45 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Linear Equations in One Variable

All 5 chapters — Gujarat Board Class 8 Mathematics Revision Notes

For serious students

Get the full Linear Equations in One Variable chapter — for free.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for Gujarat Board Class 8 Mathematics.

Try Super Tutor Free
Try the full chapter — Free