Chapter 2 of 5
Syllabus
Linear Equations in One Variable — Syllabus
Gujarat Board · Class 8 · Mathematics
What Linear Equations in One Variable covers in Gujarat Board Class 8 Mathematics: 4 topics, for the 2026-27 session.
45 questions5 concepts
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4 Topics · Gujarat Board Class 8 Mathematics · 2026-27
Topics in Linear Equations in One Variable
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
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
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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 Key Definitions and Concepts, Solving Equations with Variables on Both Sides, Solving Equations with Fractions (Reducing to Simpler Form), Applications: Word Problems (Real-Life Equations). Study these first, then practise questions on each for Class 8 exams.
How should I revise Linear Equations in One Variable for Class 8 exams?
Learn the core ideas first, then work through the 45 practice questions on Linear Equations in One Variable. Revise definitions regularly and use flashcards for quick recall before the exam.
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Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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