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Simple Equations

Gujarat Board · Class 7 · Mathematics

Quick revision notes for Simple Equations — Gujarat Board Class 7 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

45 questions5 concepts

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Key Topics to Revise

1

Key Concepts: Variables, Expressions, and Equations

  • A variable is a letter (like x, y, m, n) that represents an unknown number whose value can change.
  • An expression is formed by performing operations (addition, subtraction, multiplication, division) on a variable. Example: 4x + 5, 10y - 20.
  • An equation is a statement that says two expressions are EQUAL. It always has an '=' sign.
2

Setting Up Equations from Statements

  • To set up an equation: (1) Identify the unknown and give it a variable name. (2) Translate the words into mathematical operations. (3) Write the equation using '='.
  • Key phrases and their mathematical meaning: 'sum of' → +, 'subtracted from' or 'less than' → -, 'times' or 'multiplied by' → ×, 'divided by' → ÷, 'is' or 'gives' or 'gets you' → =.
  • One-fourth of x means x/4; three times x means 3x; 5 more than x means x + 5.
3

Solving Equations: The Balancing Method

  • An equation is like a weighing balance — both sides must always remain equal.
  • The Golden Rule: Whatever mathematical operation you perform on one side, you MUST perform the SAME operation on the OTHER side.
  • You can: (1) Add the same number to both sides, (2) Subtract the same number from both sides, (3) Multiply both sides by the same number, (4) Divide both sides by the same non-zero number.
4

Transposing: The Shortcut Method

  • Transposing means moving a term from one side of the equation to the other side.
  • When a term is transposed, its sign CHANGES: + becomes - and - becomes +.
  • Transposing +a from LHS to RHS: LHS = ... + a → RHS = ... - a (subtract a from RHS).

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Full Notes

Key Concepts

A variable is a letter (likeAn expression is a combinationAn equation is a mathematical statementA solution is the valueAn equation is like a weighing

Frequently Asked Questions

What are the important topics in Simple Equations for Gujarat Board Class 7 Mathematics?
Key topics in Simple Equations include Simple Equations – Complete Chapter Overview, Simple Equations - Concept Overview, Simple Equations – Complete Concept Map. These are the concepts Gujarat Board Class 7 examiners draw on most — study them first, then practise related questions.
How to score full marks in Simple Equations — Gujarat Board Class 7 Mathematics?
Understand the core concepts first, then work through the 45 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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