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Algebraic Expressions — Practice Quiz

ICSE · Class 8 · Mathematics

Try a 4-question quiz on Algebraic Expressions for ICSE Class 8 Mathematics: tap an answer to check it and see why. 37 questions in the full chapter test.

37 questions25 flashcards2 formulas & key relations5 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))}].

Show answer

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).

Show answer

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.

Show answer

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?

Show answer

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.

+33 more questions on Algebraic Expressions (ICSE Class 8 Mathematics)

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Frequently Asked Questions

What are the important topics in Algebraic Expressions for ICSE Class 8 Mathematics?
Key topics in Algebraic Expressions include A constant has a fixed value, A term is a number, A single term or a combination, A monomial has one term. Study these first, then practise questions on each for Class 8 exams.
How many practice questions are there for Algebraic Expressions?
There are 37 questions on Algebraic Expressions. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

Sources & Official References

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

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