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Chapter Summary

Linear Equations in one Variable — Chapter Summary

ICSE · Class 8 · Mathematics

Summary of Linear Equations in one Variable for ICSE Class 8 Mathematics. Part of the ICSE Class 8 Mathematics syllabus.

47 questions24 flashcards13 formulas & key relations5 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?
Key topics in Linear Equations in one Variable include Basic ideas and definitions, Solving equations by balancing both sides, Fractional and cross-multiplication equations, Word problems based on linear 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 47 practice questions on Linear Equations in one Variable. Revise 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 ICSE Class 8 Mathematics Chapter Summary

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