Algebraic Expressions and Identities — Class 8 MCQs with Answers
Class 8 CBSE Mathematics · Chapter 108
Pre-2026 syllabusThis chapter is from the older NCERT book. See the 2026-27 Class 8 Mathematics chapters →
72 practice questions · 24 Easy · 24 Medium · 24 Hard · Updated
Jump to the 6 solved questions
Practise the most important Class 8 CBSE Mathematics questions from Chapter 108, "Algebraic Expressions and Identities". You get 9 timed quizzes made from 72 NCERT-based MCQs, with answers and explanations. The questions are split into 24 Easy, 24 Medium and 24 Hard. Warm up on the basics, then move on to the exam-level questions that top scorers in CBSE Board exams get right.
To score well in "Algebraic Expressions and Identities", focus on fast problem-solving, formula recall and step-by-step working. Each MCQ here is timed and uses exam-style marking (+4 correct, −1 wrong, 0 skipped). This helps you stay accurate when time is short, just as real papers need. Every question has a short explanation, so a wrong answer becomes a quick lesson. It is the fastest way to fix gaps before a test.
Use this chapter for focused revision. Start with the Easy set to check your basics on Algebraic Expressions and Identities, then move to Medium and Hard to practise applying them. Your accuracy, streaks and XP save automatically. This chapter also adds to your overall Class 8 Mathematics mastery score. Try the 6 sample questions below: tap an option to see the answer and a worked explanation. Sign in free to start practising.
Algebraic Expressions and Identities — important questions & MCQs with answers (Class 8 Mathematics)
6 solved questions from this chapter's difficulty levels, each with its answer and explanation. Tap an option to check yourself.
0 of 6 answered
- Q1 of 6Easy
In 3x²y, the coefficient is:
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Answer: 3
Explanation: Numerical part.
- Q2 of 6Easy
(a+b)² =
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Answer: a² + 2ab + b²
Explanation: Standard identity.
- Q3 of 6Medium
(2x)(3x) =
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Answer: 6x²
Explanation: Multiply coefficients and add powers.
- Q4 of 6Medium
(a−b)(a+b) =
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Answer: a² − b²
Explanation: Difference of squares.
- Q5 of 6Hard
Simplify (x + 2)(x + 3) + (x − 1)(x − 4).
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Answer: 2x² + 10
Explanation: (x²+5x+6) + (x²−5x+4) = 2x² + 10.
- Q6 of 6Hard
Compute 102² using identity:
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Answer: 10404
Explanation: (100+2)² = 10000 + 400 + 4.
Algebraic Expressions and Identities notes: key concepts (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.
Start this chapter free
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This chapter has 72 questions (24 Easy · 24 Medium · 24 Hard), with timed scoring and instant feedback. The rest unlock with the ₹999/year plan.
Start with the questions above. The full quiz opens here after.
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 108 (Algebraic Expressions and Identities) cover on XamBaaz?+
It has 72 NCERT-based MCQs on "Algebraic Expressions and Identities": 24 Easy, 24 Medium and 24 Hard. Together they make 9 timed quizzes, and you never get the same set twice. Every question has an instant explanation. They help you prepare 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. One year from the day you pay. You stay in Class 8 till 31 March; on 1 April your account moves up to Class 9 and the rest of your year carries over. No chapter is charged separately.
How should I revise "Algebraic Expressions and Identities" for the exam?+
Start with the Easy quiz to check your basics, then try Medium and Hard to practise applying them. There are 9 timed quizzes on this chapter, so you can come back for a fresh set instead of one you have seen. Read each explanation, retry the questions you miss, and track your accuracy until it stays high.
Are these "Algebraic Expressions and Identities" MCQs available with answers?+
Yes. 6 sample questions are on this page with answers: tap an option, or "Show answer", to see the correct option and a step-by-step explanation. Sign in free with Google to start practising, with instant scoring.
Is there negative marking in the "Algebraic Expressions and Identities" quizzes?+
Yes. The timed quizzes use exam-style marking: +4 for a right answer, −1 for a wrong one and 0 for a skip. MHT-CET and CBSE board papers have no negative marking. Our mocks for those are scored their way.
What are the important questions from Algebraic Expressions and Identities (Class 8 Mathematics)?+
The questions that matter most test Terms & expressions, Operations, Standard identities, Identity for (x+a)(x+b), Using identities. This page shows 6 solved important MCQs with answers and explanations. Sign in to practise all 72 questions on the chapter as timed quizzes.
Is there an online quiz for Algebraic Expressions and Identities?+
Yes — Class 8 Mathematics Algebraic Expressions and Identities has timed online quizzes at Easy, Medium and Hard levels, with instant scoring and a worked explanation on every question. The first quiz on the chapter is free.
Are there question answers and extra questions for Algebraic Expressions and Identities (Class 8 Mathematics)?+
Yes. This page has 6 solved questions on Algebraic Expressions and Identities, each with the correct answer and a short explanation. Sign in to practise all 72 questions on the chapter as timed quizzes.