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Revision Notes

Linear Equations in one Variable — Revision Notes

ICSE · Class 8 · Mathematics

Linear Equations in one Variable revision notes for ICSE Class 8 Mathematics: 4 topics in quick points. Part of the ICSE Class 8 Mathematics syllabus.

47 questions24 flashcards13 formulas & key relations5 concepts

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Key Topics to Revise

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1. Basic ideas and definitions

  • An equation is a statement that shows two algebraic expressions are equal.
  • A linear equation has only one variable and the highest power of the variable is 1.
  • A linear equation has only one solution, called its root.
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2. Solving equations by balancing both sides

  • The main idea is to move all variable terms to one side and all numbers to the other side.
  • Equivalent transformations keep the equation unchanged.
  • Cross-check the answer by substituting it back into the original equation.
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3. Fractional and cross-multiplication equations

  • Fractional equations can be solved by clearing denominators with the L.C.M.
  • Cross-multiplication is useful when each side is a fraction.
  • After solving, check that denominators are not zero for valid values.
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4. Word problems based on linear equations

  • Read the problem carefully and identify the unknown quantity.
  • Represent the unknown by a variable.
  • Translate the given condition into an equation.

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Full Notes

Key Concepts

A statement which states thatThe equation involving only one variableThe value of the variableAn equation stays the same whenEquations with denominators are often solved

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.

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