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Free worksheet

Simple equations · Class 7 to 9

5 questions · English, हिन्दी, मराठी · answer key with explanations ·

NCERT: Class 7 Ganita Prakash Part II, Chapter 7: Finding the Unknown. Our own questions in the chapter's style, drafted with AI help, every answer checked step by step; teacher review pending. Hindi and Marathi: translation - review pending.

Print it (Ctrl+P): one sheet per language, the answer key on its own page.

Simple equations · English

Name: ____________________Date: ____________

Questions

  1. 5x = 45. What is x?

  2. x / 4 = 7. What is x?

  3. 2x + 5 = 17. What is x?

  4. 3x − 4 = 11. What is x?

  5. 2(x + 3) = 16. What is x?

Answer key

  1. 9 — Divide both sides by 5: x = 45 ÷ 5 = 9.
  2. 28 — Multiply both sides by 4: x = 28.
  3. 6 — Subtract 5: 2x = 12. Divide by 2: x = 6.
  4. 5 — Add 4: 3x = 15. Divide by 3: x = 5.
  5. 5 — Divide by 2: x + 3 = 8. Subtract 3: x = 5.

सरल समीकरण · हिन्दी

नाम: ____________________तारीख़: ____________

प्रश्न

  1. 5x = 45, तो x कितना है?

  2. x / 4 = 7, तो x कितना है?

  3. 2x + 5 = 17, तो x कितना है?

  4. 3x − 4 = 11, तो x कितना है?

  5. 2(x + 3) = 16, तो x कितना है?

उत्तर

  1. 9 — दोनों ओर 5 से भाग: x = 45 ÷ 5 = 9।
  2. 28 — दोनों ओर 4 से गुणा: x = 28।
  3. 6 — 5 घटाओ: 2x = 12। 2 से भाग: x = 6।
  4. 5 — 4 जोड़ो: 3x = 15। 3 से भाग: x = 5।
  5. 5 — 2 से भाग: x + 3 = 8। 3 घटाओ: x = 5।

सोपी समीकरणे · मराठी

नाव: ____________________दिनांक: ____________

प्रश्न

  1. 5x = 45, तर x किती?

  2. x / 4 = 7, तर x किती?

  3. 2x + 5 = 17, तर x किती?

  4. 3x − 4 = 11, तर x किती?

  5. 2(x + 3) = 16, तर x किती?

उत्तरे

  1. 9 — दोन्ही बाजूंना 5 ने भागा: x = 45 ÷ 5 = 9.
  2. 28 — दोन्ही बाजूंना 4 ने गुणा: x = 28.
  3. 6 — 5 वजा करा: 2x = 12. 2 ने भागा: x = 6.
  4. 5 — 4 मिळवा: 3x = 15. 3 ने भागा: x = 5.
  5. 5 — 2 ने भागा: x + 3 = 8. 3 वजा करा: x = 5.

A worked example

Three times a number, minus 7, is 20. Find the number.

  1. Write it as an equation: 3x − 7 = 20.
  2. Add 7 to both sides: 3x = 27. Divide both sides by 3: x = 9.

Answer: x = 9. Check: 3 × 9 − 7 = 20.

The common mistake

Moving a number across the = sign without changing the operation: from 3x − 7 = 20 writing 3x = 20 − 7. Do the same thing to both sides: add 7, so 3x = 27.

In the NCERT book

Ganita Prakash Part II, Class 7 (First Edition October 2025), Chapter 7: Finding the Unknown, pages 164 to 198. Open the chapter (PDF).

Practise this topic online: 5 questions, marked as you go, with a hint after a wrong answer.

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