Class 8 Mathematics — Chapter 8: Algebraic Expressions and Identities
72 practice questions · 24 Easy · 24 Medium · 24 Hard
Practise Class 8 Mathematics Chapter 8, "Algebraic Expressions and Identities", with 72 NCERT-aligned multiple-choice questions. The set is split into 24 Easy, 24 Medium and 24 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.
"Algebraic Expressions and 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 Algebraic Expressions and 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 8 Mathematics mastery score. A few sample questions are shown below; sign in free to practise all 72.
Key concepts: Algebraic Expressions and Identities (Class 8 Mathematics)
This chapter covers algebraic terms and expressions, their addition, subtraction and multiplication, and the standard algebraic identities.
- Terms & expressions
- Monomials, binomials and trinomials are expressions with one, two and three terms; like terms have the same variables and powers.
- Operations
- Add/subtract by combining like terms; multiply using the distributive law term by term.
- Standard identities
- Special products that speed up expansion: (a+b)², (a−b)², (a+b)(a−b).
- Identity for (x+a)(x+b)
- (x+a)(x+b) = x² + (a+b)x + ab.
- Using identities
- Identities help compute squares and products mentally and factorise expressions.
Key formulas — Algebraic Expressions and Identities
💡 Exam tips for Algebraic Expressions and Identities
- Only LIKE terms can be added or subtracted (e.g. 3x and 5x), not 3x and 5x².
- Recognise identities to expand quickly: e.g. 102² = (100+2)² = 10000 + 400 + 4.
Sample questions
In 3x²y, the coefficient is:
Numerical part.
(a−b)(a+b) =
Difference of squares.
Compute 102² using identity:
(100+2)² = 10000 + 400 + 4.
Algebraic Expressions and Identities — FAQs
What are the key concepts in Class 8 Mathematics Algebraic Expressions and Identities?+
This chapter covers algebraic terms and expressions, their addition, subtraction and multiplication, and the standard algebraic identities. Key ideas include Terms & expressions, Operations, Standard identities, Identity for (x+a)(x+b), Using identities.
What does Class 8 Mathematics Chapter 8 (Algebraic Expressions and Identities) cover on XamBaaz?+
It covers 72 NCERT-aligned MCQs on "Algebraic Expressions and Identities" — 24 Easy, 24 Medium and 24 Hard — each with a timed quiz and an instant explanation, suitable for CBSE Board exams.
Are these "Algebraic Expressions and Identities" questions free to practise?+
Yes — sign in with Google to practise "Algebraic Expressions and Identities" free. Full unlimited access is ₹999/year (limited-time launch price), with no per-chapter charges.
How should I revise "Algebraic Expressions and 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.
Practise all 72 questions free
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