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Class 7 Adding and Subtracting Expressions — practice questions with answers

Algebra · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.

1. Add: 3x + 5x
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Answer: A) 8x
Like terms add by adding coefficients: 3x + 5x = (3 + 5)x = 8x.
2. Subtract: 12ab - 5ab
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Answer: A) 7ab
12ab - 5ab = (12 - 5)ab = 7ab.
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?
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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?
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Answer: A) 6x + 8
Total = (3x + 4) + (2x + 6) + (x - 2) = (3x + 2x + x) + (4 + 6 - 2) = 6x + 8.
5. Subtract (x² - 2x + 3) from the sum of (3x² + x - 2) and (x² + 4x + 1).
What is the final expression?
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Answer: A) 3x² + 7x - 4
Sum = (3x² + x - 2) + (x² + 4x + 1) = 4x² + 5x - 1. Subtract: (4x² + 5x - 1) - (x² - 2x + 3) = 3x² + 7x - 4.
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