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Chapter Summary

Linear Equations in one Variable

ICSE · Class 8 · Mathematics

Summary of Linear Equations in one Variable for ICSE Class 8 Mathematics. Key concepts, important points, and chapter overview.

47 questions24 flashcards5 concepts

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Overview

A linear equation is an equation involving only one variable in first order, meaning the highest power of the variable is one. Solving an equation means finding the value of the variable that makes both sides equal. A linear equation has exactly one solution, called its root. Equations can be kept e

Key Concepts

A statement which states that

A statement which states that the two algebraic expressions are equal is called an equation. Examples include expressions with more than one variable

The equation involving only one variable

The equation involving only one variable in first order, with highest power one, is called a linear equation.

The value of the variable

The value of the variable that solves a linear equation is called its root. A linear equation has only one solution.

An equation stays the same when

An equation stays the same when the same non-zero number is added to, subtracted from, multiplied by, or divided on both sides.

Equations with denominators are often solved

Equations with denominators are often solved by multiplying every term by the L.C.M. of the denominators.

Learning Objectives

  • Define equation and linear equation clearly.
  • Identify linear equations in one variable.
  • Use equivalent operations to solve linear equations.
  • Clear fractions using L.C.M. when needed.
  • Form equations from word problems.

Frequently Asked Questions

What are the important topics in Linear Equations in one Variable for ICSE Class 8 Mathematics?
Linear Equations in one Variable covers several key topics that are frequently asked in ICSE Class 8 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Linear Equations in one Variable — ICSE Class 8 Mathematics?
Understand the core concepts first, then work through the 47 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.

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