Algebra: Fundamental Concepts
ICSE · Class 7 · Mathematics
Most important questions from Algebra: Fundamental Concepts for ICSE Class 7 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.
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Sample Questions
A polynomial has terms 5x^4, 7x^3y^2 and 2xy^2. Find its degree and then multiply it by 1.
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5
Step 1: Find degrees of the terms. Step 2: 5x^4 has degree 4. Step 3: 7x^3y^2 has degree 3 + 2 = 5. Step 4: 2xy^2 has degree 1 + 2 = 3. Step 5: The highest degree is 5. Step 6: Multiplying by 1 does not change the degree. So the answer is 5.
Find the numerical coefficient of -8xy, then subtract 2 from it.
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-10
Step 1: The numerical coefficient of -8xy is -8. Step 2: Subtract 2: -8 - 2 = -10. So the answer is -10.
For the expression 8x^2y^3, find the degree and then add 1.
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6
Step 1: Degree of 8x^2y^3 = 2 + 3 = 5. Step 2: Add 1. Step 3: 5 + 1 = 6. So the answer is 6.
Simplify (6x^2 + 7xy - 3y^2) ÷ (2x + 3y).
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3x - y
Step 1: Divide the first term 6x^2 by 2x to get 3x. Step 2: Multiply back: 3x(2x + 3y) = 6x^2 + 9xy. Step 3: Subtract from the dividend: (6x^2 + 7xy - 3y^2) - (6x^2 + 9xy) = -2xy - 3y^2. Step 4: Divide -2xy by 2x to get -y. Step 5: Multiply back: -y(2x + 3y) = -2xy - 3y^2. Step 6: Remainder is 0, so the quotient is 3x - y.
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