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Class 9 Mathematics — Chapter 14: Exploring Algebraic Identities

90 practice questions · 30 Easy · 30 Medium · 30 Hard

Practise Class 9 Mathematics Chapter 14, "Exploring Algebraic Identities", with 90 NCERT-aligned multiple-choice questions. The set is split into 30 Easy, 30 Medium and 30 Hard questions, so you can warm up on the fundamentals and then push into the exam-level problems that separate top scorers in CBSE Board exams and the JEE & NEET foundation years.

"Exploring Algebraic Identities" is one of the chapters where problem-solving speed, formula recall and step-by-step reasoning really pays off. Each MCQ on this chapter is timed and uses exam-grade marking (+2 correct, −1 wrong, 0 skipped), training the same accuracy-under-pressure that real papers demand. Every question carries a short explanation, so a wrong answer becomes a quick lesson rather than a dead end — the fastest way to close gaps before a test.

Use this chapter as targeted revision: attempt the Easy set first to confirm your basics on Exploring Algebraic Identities, then move to Medium and Hard to test application and problem-solving. Your accuracy, streaks and XP save automatically, and the chapter feeds into your overall Class 9 Mathematics mastery score. A few sample questions are shown below; sign in free to practise all 90.

Sample questions

Q1Easy

Expand (x + 3)².

A.x² + 6x + 9✓ correct
B.x² + 9
C.x² + 3x + 9
D.x² + 6x + 6
Why

(a + b)² = a² + 2ab + b², so (x + 3)² = x² + 6x + 9.

Q2Medium

Use an identity to evaluate 53 × 47.

A.2491✓ correct
B.2501
C.2391
D.2481
Why

(50 + 3)(50 − 3) = 50² − 3² = 2500 − 9 = 2491.

Q3Hard

Expand (x + 2)³.

A.x³ + 6x² + 12x + 8✓ correct
B.x³ + 8
C.x³ + 2x² + 4x + 8
D.x³ + 6x² + 8x + 8
Why

(x + 2)³ = x³ + 3x²(2) + 3x(4) + 8 = x³ + 6x² + 12x + 8.

Exploring Algebraic Identities — FAQs

What does Class 9 Mathematics Chapter 14 (Exploring Algebraic Identities) cover on XamBaaz?+

It covers 90 NCERT-aligned MCQs on "Exploring Algebraic Identities" — 30 Easy, 30 Medium and 30 Hard — each with a timed quiz and an instant explanation, suitable for CBSE Board exams and the JEE & NEET foundation years.

Are these "Exploring Algebraic Identities" questions free to practise?+

Yes — sign in with Google to practise "Exploring Algebraic Identities" free. Full unlimited access is ₹999/year (limited-time launch price), with no per-chapter charges.

How should I revise "Exploring Algebraic Identities" for the exam?+

Start with the Easy quiz to confirm your fundamentals, then attempt Medium and Hard for application-level practice. Review each explanation, retry the questions you miss, and track your accuracy on this chapter until it is consistently high.

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