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Algebra — Practice Quiz

Tamil Nadu Board · Class 9 · Mathematics

Try a 4-question quiz on Algebra for Tamil Nadu Board Class 9 Mathematics: tap an answer to check it and see why. 45 questions in the full chapter test.

45 questions25 flashcards3 formulas & key relations5 concepts

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Quick Quiz: Algebra

0/4

Tap an answer to check it instantly. No sign-up needed for these 4.

1

Which of the following is a polynomial?

2

What is the degree of the polynomial 6ab⁸ + 5a²b³c² - 7ab + 4b²c + 2?

3

If p(x) = x² - 4x + 3, what is the value of p(2)?

4

What is the zero of the polynomial p(x) = 3x - 9?

45 Questions·
multiple choice

Sample Questions

1multiple choice
1 marks

By the Remainder Theorem, what is the remainder when p(x) = x³ + 3x² + 3x + 1 is divided by (x + 1)?

2multiple choice
1 marks

If (x - 2) is a factor of p(x) = x² - 5x + k, what is the value of k?

Show answer

6

Step 1: By Factor Theorem, if (x - 2) is a factor of p(x), then p(2) = 0. Step 2: Substitute x = 2 in p(x): p(2) = (2)² - 5(2) + k = 0. Step 3: = 4 - 10 + k = 0. Step 4: -6 + k = 0, so k = 6. Step 5: Verify: p(2) = 4 - 10 + 6 = 0. ✓ The value of k is 6.

3multiple choice
1 marks

Expand (3x + 4y)² using the identity (a + b)² = a² + 2ab + b².

Show answer

9x² + 24xy + 16y²

Step 1: Use identity (a + b)² = a² + 2ab + b² with a = 3x and b = 4y. Step 2: a² = (3x)² = 9x². Step 3: 2ab = 2 × 3x × 4y = 24xy. Step 4: b² = (4y)² = 16y². Step 5: So (3x + 4y)² = 9x² + 24xy + 16y². Common mistake: forgetting the middle term 2ab or computing 2×3×4 = 12 instead of 24.

4multiple choice
1 marks

What is the value of (102)² using the identity (a + b)² = a² + 2ab + b²?

Show answer

10404

Step 1: Write 102 = 100 + 2. Use (a + b)² = a² + 2ab + b² with a = 100, b = 2. Step 2: a² = 100² = 10000. Step 3: 2ab = 2 × 100 × 2 = 400. Step 4: b² = 2² = 4. Step 5: (102)² = 10000 + 400 + 4 = 10404.

+41 more questions on Algebra (Tamil Nadu Board Class 9 Mathematics)

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Frequently Asked Questions

What are the important topics in Algebra for Tamil Nadu Board Class 9 Mathematics?
Key topics in Algebra include Polynomials: Definition, Classification, and Operations, Value and Zeros of Polynomials, Remainder Theorem and Factor Theorem, Algebraic Identities. Study these first, then practise questions on each for Class 9 exams.
How many practice questions are there for Algebra?
There are 45 questions on Algebra. 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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All Tamil Nadu Board Class 9 Mathematics Practice Quiz

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