Chapter 6 · Class 8 CBSE · Free Worksheet PDF

Algebraic Expressions Sums for Class 8 — Free CBSE Worksheet PDF with Answers

Download a free printable algebraic expressions & identities worksheet for Class 8 CBSE with 30 practice questions covering algebraic expressions, terms and coefficients, like terms, addition subtraction multiplication of expressions. Includes complete answer key. CBSE-aligned for the 2025-26 syllabus.

Last updated: 5 May 2026

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30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.

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Sample Algebraic Expressions & Identities Sums for Class 8 — Practice Questions

Here are 8 sample algebraic expressions & identities sums from this Class 8 CBSE worksheet. Download the full PDF for all 30 questions with answers.

Q1.Ravi identified the terms in the expression 5xy - 3y + 7xz as 5xy, 3y, and 7xz. He stated that the coefficient of y in -3y is 3. What error did Ravi make?
A.He incorrectly identified the terms.
B.He incorrectly identified the coefficient of y.
C.Both A and B are incorrect.
D.Ravi made no error.

Difficulty: Easy

Q2.Which of the following statements about algebraic expressions is TRUE?
A.4x - 5y + 3 is a monomial.
B.7p²q is a binomial.
C.x² + y² is a binomial.
D.A polynomial can have terms with negative exponents.

Difficulty: Easy

Q3.A student simplified (7x - 4y) - (3x - 2y) as 7x - 4y - 3x - 2y. What mistake did the student make?
A.Incorrectly combining x terms.
B.Incorrectly combining y terms.
C.Incorrectly distributing the negative sign.
D.There is no mistake.

Difficulty: Easy

Q4.When multiplying a monomial by a polynomial, which property is primarily used?
A.Commutative property
B.Associative property
C.Distributive property
D.Identity property

Difficulty: Easy

Q5.To multiply (a + b) by (c + d), which expression correctly shows the first step of the multiplication process?
A.a(c + d) + b(c + d)
B.(a × c) + b + d
C.(a + b)c + d
D.a × c + b × d

Difficulty: Easy

Q6.An algebraic identity is a statement that is true for:
A.Only specific values of the variables.
B.All real values of the variables.
C.No values of the variables.
D.Only integer values of the variables.

Difficulty: Easy

Q7.A student tried to expand (2x + 3y)². They wrote it as (2x)² + (3y)². What crucial term did they miss or incorrectly apply?
A.The product term 2ab.
B.The square of the first term.
C.The square of the second term.
D.They should have subtracted the terms.

Difficulty: Easy

Q8.Which of the following expressions correctly represents the expansion of (5p - 2q)² using the identity (a - b)² = a² - 2ab + b²?
A.25p² - 4q²
B.25p² + 4q²
C.25p² - 20pq + 4q²
D.25p² + 20pq + 4q²

Difficulty: Easy

Answer Key — Sample Questions+
Q1:He incorrectly identified the coefficient of y.
Q2:x² + y² is a binomial.
Q3:Incorrectly distributing the negative sign.
Q4:Distributive property
Q5:a(c + d) + b(c + d)
Q6:All real values of the variables.
Q7:The product term 2ab.
Q8:25p² - 20pq + 4q²

Download the full PDF for all 30 answers with step-by-step solutions.

About This Worksheet

TopicAlgebraic Expressions & Identities
BoardCBSE
Class8
Total Questions30 (10 Easy + 10 Medium + 10 Hard)
Answer KeyIncluded
PriceFree

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Frequently Asked Questions

Where can I download free algebraic expressions & identities sums for Class 8?+
You can download a free Algebraic Expressions & Identities PDF worksheet for Class 8 CBSE right here on SparkEd. The worksheet includes 30 practice questions (algebraic expressions, terms and coefficients, like terms, addition subtraction multiplication of expressions) at easy, medium, and hard levels with a complete answer key.
How many algebraic expressions & identities questions are in this Class 8 worksheet?+
This SparkEd worksheet for Algebraic Expressions & Identities Class 8 contains 30 questions — 10 easy, 10 medium, and 10 hard. The questions cover algebraic expressions, terms and coefficients, like terms, addition subtraction multiplication of expressions. A fresh set is generated daily so students never repeat the same sheet.
Does the Algebraic Expressions & Identities worksheet for Class 8 include answers?+
Yes! Every SparkEd worksheet comes with a complete answer key. Students can self-check their work after completing the sheet. The PDF is free to download and print.
Is this algebraic expressions & identities worksheet aligned to CBSE syllabus?+
Yes. This worksheet is specifically designed for Class 8 CBSE students and aligned to the 2025-26 CBSE syllabus. All questions follow the CBSE exam pattern and difficulty level.
Can I print this Algebraic Expressions & Identities worksheet?+
Absolutely! The worksheet downloads as an A4-size PDF that is ready to print. It includes the questions, space for working, and a separate answer key — perfect for classroom use or home practice.
How is this worksheet different from NCERT textbook exercises?+
SparkEd worksheets go beyond NCERT exercises by providing 30 questions at 3 progressive difficulty levels. Level 1 (Easy) builds confidence, Level 2 (Medium) tests application, and Level 3 (Hard) prepares for exams. Each worksheet includes word problems and conceptual questions, not just computation.

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