Chapter 10 (Balbharati) · Class 8 Maharashtra SSC · Worksheet

Division of Algebraic Expressions (बीजगणितीय व्यंजकांचे भागाकार) Worksheet — Class 8 Maharashtra SSC Maths

Download a free printable worksheet with 30 questions at 3 difficulty levels. Includes full answer key.

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

Sample Questions — Division of Algebraic Expressions (बीजगणितीय व्यंजकांचे भागाकार)

Here are 8 sample questions from this worksheet. Download the full PDF for all 30 questions.

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.