1. Solve: 5x = 3x + 8
- Ax = 4
- Bx = 2
- Cx = 8
- Dx = 1
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Answer: A) x = 4
5x - 3x = 8, so 2x = 8, x = 4.
Class 8 Variables on Both Sides — practice questions with answers
Linear Equations · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.
2. Solve: 6x + 11 = 2x + 3
- Ax = -2
- Bx = 2
- Cx = -4
- Dx = 4
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Answer: A) x = -2
6x - 2x = 3 - 11, so 4x = -8, x = -2.
3. If 9x - 5 = 7x + 11, find the value of x + 2.
- A11
- B10
- C9
- D20
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Answer: B) 10
9x - 7x = 11 + 5, so 2x = 16, x = 8. Then x + 2 = 10.
4. Priya and Kiran together have collected stamps. Priya has 4 times as many as Kiran. If Priya gives 6 stamps to Kiran, she will then have twice as many as Kiran. How many stamps does Kiran have originally?
- A9
- B12
- C6
- D18
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Answer: A) 9
Let Kiran = x, Priya = 4x. After giving 6: Priya = 4x - 6, Kiran = x + 6. Then 4x - 6 = 2(x + 6), so 4x - 6 = 2x + 12, 2x = 18, x = 9. Check: Priya 36 -> 30, Kiran 9 -> 15, and 30 = 2(15).
5. A shopkeeper sells mangoes. If a customer buys x dozen at Rs 60 per dozen, the bill equals what another customer pays for (x - 2) dozen at Rs 90 per dozen. Find x, the number of dozens the first customer buys.
- A12
- B6
- C7
- D5
Show answer
Answer: B) 6
60x = 90(x - 2), so 60x = 90x - 180, 180 = 30x, x = 6.
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