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Algebraic Expressions

ICSE · Class 8 · Mathematics

Practice quiz for Algebraic Expressions — ICSE Class 8 Mathematics. MCQs and questions with answers to test your preparation.

37 questions25 flashcards5 concepts

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Quick Quiz: Algebraic Expressions

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1

A polynomial has terms 7x^3y^4, -8x^2y^3z^4, and 5x^4y^3z. Find its degree.

2

Find the area of a rectangle whose adjacent sides are 3x^2 - 2xy + 5y^2 and 2x^2 + 5xy - 3y^2.

3

Divide 8x^2 - 45y^2 + 18xy by 2x - 3y and find the quotient.

4

Find the quotient and remainder when 2x^3 - 8x^2 + 5x - 8 is divided by x - 2. Choose the correct quotient.

37 Questions·
multiple choicemultiple correct

Sample Questions

1multiple choice
3 marks

Simplify 84 - 7[-11x - 4{-17x + 3(8 - (9 - 5x))}].

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21x

First remove the innermost bracket: 8 - (9 - 5x) = 8 - 9 + 5x = 5x - 1. Then simplify inside the curly brackets: -17x + 3(5x - 1) = -17x + 15x - 3 = -2x - 3. Then the square bracket: -11x - 4(-2x - 3) = -11x + 8x + 12 = -3x + 12. Finally: 84 - 7(-3x + 12) = 84 + 21x - 84 = 21x.

2multiple choice
3 marks

Find the result of (7x + 4y - 5z + 5) + (6x - 7z - 8) - (12x + 3y - z).

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x + y - 11z - 3

First add the first two expressions: (7x + 4y - 5z + 5) + (6x - 7z - 8) = 13x + 4y - 12z - 3. Now subtract the third expression by changing its signs: 13x + 4y - 12z - 3 - 12x - 3y + z. Combine like terms: x + y - 11z - 3.

3multiple choice
3 marks

Divide -50a^2b^3 by -15a^4b^2 and simplify the result.

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10b / 3a^2

Use division of a monomial by another monomial. Divide the coefficients: -50 ÷ -15 = 10/3. Divide the literals: a^2 ÷ a^4 = 1/a^2 and b^3 ÷ b^2 = b. So the result is 10b / 3a^2.

4multiple choice
3 marks

Multiply -5xy^2, -3x^2yz and 8yz^2. What is the product?

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120x^3y^4z^3

Multiply the numerical coefficients first: -5 × -3 × 8 = 120. Now multiply the literal parts: x × x^2 = x^3, y^2 × y × y = y^4, z × z^2 = z^3. So the product is 120x^3y^4z^3.

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Frequently Asked Questions

What are the important topics in Algebraic Expressions for ICSE Class 8 Mathematics?
Algebraic Expressions covers several key topics that are frequently asked in ICSE Class 8 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Algebraic Expressions — ICSE Class 8 Mathematics?
Understand the core concepts first, then work through the 37 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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