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Algebra: Fundamental Concepts — Practice Quiz

ICSE · Class 7 · Mathematics

Try a 4-question quiz on Algebra: Fundamental Concepts for ICSE Class 7 Mathematics: tap an answer to check it and see why.

43 questions30 flashcards8 formulas & key relations5 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.

Show answer

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).

Show answer

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.

+39 more questions on Algebra: Fundamental Concepts (ICSE Class 7 Mathematics)

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Frequently Asked Questions

What are the important topics in Algebra: Fundamental Concepts for ICSE Class 7 Mathematics?
Key topics in Algebra: Fundamental Concepts include Constants, Variables, Terms, and Expressions, Types of Algebraic Expressions and Polynomials, Product, Factor, Coefficient, and Degree, Like Terms, Unlike Terms, Addition, and Subtraction. Study these first, then practise questions on each for Class 7 exams.
How many practice questions are there for Algebra: Fundamental Concepts?
There are 43 questions on Algebra: Fundamental Concepts. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

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