1. Which of these is an equation?
- Ax + x
- B3x + 5
- C3x + 5 > 20
- D3x + 5 = 20
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Answer: D) 3x + 5 = 20
An equation says two things are EQUAL, so it must have an '=' sign. 3x + 5 and x + x are expressions; 3x + 5 > 20 is an inequality.
Class 7 Checking Solutions by Trial — practice questions with answers
Simple Equations · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.
2. Which value of z makes = 7 true?
- A4
- B
- C21
- D10
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Answer: C) 21
Check: = 7 ✓. ( divides instead of multiplying; 10 adds 3.)
3. Hari solved x − 9 = −4 and got x = −13. Substitute his answer to check it. What do you find?
- AWrong; the correct answer is x = 13
- BWrong; the correct answer is x = −5
- CWrong; the correct answer is x = 5
- DRight; −13 − 9 = −4
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Answer: C) Wrong; the correct answer is x = 5
−13 − 9 = −22, not −4, so Hari is wrong. Try x = 5: 5 − 9 = −4 ✓.
4. In 5 years, Neha will be 3 times as old as she was 5 years ago. She says she is 10 now. Is she right?
- ANo; she is 7.5
- BYes; 15 = 3 × 5
- CNo; she is 15
- DNo; she is 20
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Answer: B) Yes; 15 = 3 × 5
At 10: in 5 years she is 15; 5 years ago she was 5; 3 × 5 = 15 ✓.
5. A mother is 26 years older than her son. In 4 years she will be 3 times as old as he will be. How old is the son now?
- A13
- B7
- C9
- D11
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Answer: C) 9
Son s, mother s + 26. In 4 years: s + 30 = 3(s + 4) → s + 30 = 3s + 12 → 2s = 18 → s = 9. Check: 13 and 39, and 39 = 3 × 13 ✓.
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