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Algebra: Fundamental Concepts

ICSE · Class 7 · Mathematics

Practice quiz for Algebra: Fundamental Concepts — ICSE Class 7 Mathematics. MCQs and questions with answers to test your preparation.

43 questions30 flashcards5 concepts

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Quick Quiz: Algebra: Fundamental Concepts

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1

Simplify 8x + 5x when x = 3.

2

A lady's age is 28 years more than her son's age x. If the son's age is 11 years, find the lady's age and then subtract 5 years.

3

Find the coefficient of x^2 in -8x^3y^4, then add 7.

4

Evaluate (a + b)(a - b) for a = 9 and b = 4, then subtract 5.

43 Questions·
multiple choicemultiple correcttrue false

Sample Questions

1multiple choice
3 marks

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.

2multiple choice
3 marks

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.

3multiple choice
3 marks

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.

4multiple choice
3 marks

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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Frequently Asked Questions

What are the important topics in Algebra: Fundamental Concepts for ICSE Class 7 Mathematics?
Algebra: Fundamental Concepts covers several key topics that are frequently asked in ICSE Class 7 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Algebra: Fundamental Concepts — ICSE Class 7 Mathematics?
Understand the core concepts first, then work through the 43 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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