Algebra · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.
3. A rope is (7y + 10) metres long. Arjun cuts off a piece (3y + 4) metres long for a kite at a Jaipur fair.
What length of rope remains, in terms of y?
- A4y + 6
- B4y + 14
- C10y + 6
- D4y - 6
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Answer: A) 4y + 6
Remaining = (7y + 10) - (3y + 4) = (7y - 3y) + (10 - 4) = 4y + 6.
4. Three friends in Bhopal pool money for a gift. Ravi gives ₹(3x + 4), Sita gives ₹(2x + 6) and Mohan gives ₹(x - 2).
What is the total amount collected, in terms of x?
- A6x + 8
- B6x + 12
- C5x + 8
- D6x - 8
Show answer
Answer: A) 6x + 8
Total = (3x + 4) + (2x + 6) + (x - 2) = (3x + 2x + x) + (4 + 6 - 2) = 6x + 8.