Skip to main content
Super TutorResources
Chapter 14 of 25
QuestionsNotesFlashcardsSummaryFormulasQuizConceptsSyllabusPlan
Syllabus

Linear Equations in one Variable

ICSE · Class 8 · Mathematics

Complete topic list for Linear Equations in one Variable in ICSE Class 8 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

47 questions24 flashcards5 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 syllabus and more.

Try Super Tutor — Free

1,000+ Class 8 students started this chapter today

4 Topics · ICSE Class 8 Mathematics

Topics in Linear Equations in one Variable

1

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.
2

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.
3

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.
4

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.

Key Concepts

Central concept: Linear Equations in One Variable

EquationLinear EquationRoot of an EquationRules for Solving EquationsAlgebraic RepresentationConsecutive NumbersConsecutive Even NumbersConsecutive Odd Numbers

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.

More resources for Linear Equations in one Variable

All 25 chapters — ICSE Class 8 Mathematics Syllabus

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 ICSE Class 8 Mathematics.

Try Super Tutor Free
Try the full chapter — Free