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Syllabus

Simple Linear Equations — Syllabus

ICSE · Class 7 · Mathematics

What Simple Linear Equations covers in ICSE Class 7 Mathematics: 4 topics, for the 2026-27 session. Part of the ICSE Class 7 Mathematics syllabus.

47 questions26 flashcards8 formulas & key relations5 concepts

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4 Topics · ICSE Class 7 Mathematics · 2026-27

Topics in Simple Linear Equations

1

1. Equation, Variable, and Solution

  • An equation is a statement that the two expressions are equal.
  • A variable is the unknown quantity in an equation, usually written as x, y, or z.
  • A solution or root is the value of the variable that makes the equation true.
2

2. Operations That Keep an Equation Unchanged

  • The same number can be added to both sides of an equation without changing it.
  • The same number can be subtracted from both sides without changing it.
  • The same number can be multiplied to both sides without changing it.
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3. Solving Equations by the Short-Cut Method

  • Transposing means moving a term from one side of an equation to the other side.
  • When a positive term is transposed, its sign changes to negative.
  • When a negative term is transposed, its sign changes to positive.
4

4. Contextual Problems and Two-Step Equations

  • A contextual problem has two operations, and the final solution depends on the first operation.
  • A common two-step form is 3x + 8 = 14.
  • First isolate the term with the variable, then isolate the variable itself.

Key Concepts

Central concept: Solving equations with one variable using balance, transposition, and step-by-step reasoning

EquationVariableSolution or rootOperations that keep an equation unchangedTransposingContextual problemVariable on both sidesEquations with fractions

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Frequently Asked Questions

What are the important topics in Simple Linear Equations for ICSE Class 7 Mathematics?
Key topics in Simple Linear Equations include Equation, Variable, and Solution, Operations That Keep an Equation Unchanged, Solving Equations by the Short-Cut Method, Contextual Problems and Two-Step Equations. Study these first, then practise questions on each for Class 7 exams.
How should I revise Simple Linear Equations for Class 7 exams?
Learn the core ideas first, then work through the 47 practice questions on Simple Linear Equations. 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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All ICSE Class 7 Mathematics Syllabus

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