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Class 9 Mathematics Chapter 1 Exploring Algebraic Identities MCQ Practice

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Chapter 1Exploring Algebraic Identities

130 MCQsFocused chapter practice

DescriptionQuick chapter overview

SyllabusTopics covered clearly

Strengthen your understanding of Exploring Algebraic Identities in Class 9 Mathematics. Use focused MCQs to develop calculation skills, logical reasoning and step-by-step problem solving and improve accuracy.

This chapter explores algebraic identities as patterns in multiplication. Students learn standard identities, expand and simplify algebraic expressions, and use identities to solve problems efficiently while connecting algebraic rules with visual and numerical reasoning.

Sample Chapter MCQs

Showing 10 sample questions from this chapter.

01 Mathematics

If x^2 + 4x + 4 = (x + 2)^2, then x + 2 is a:

A factor

B coefficient

C constant term

D degree

02 Mathematics

The identity (a + b)^2 expands to a^2 + 2ab + b^2. Reason: The area model of a square of side (a + b) gives one a^2 region, two ab rectangles and one b^2 region.

A Both Assertion and Reason are true and Reason correctly explains Assertion

B Both Assertion and Reason are true but Reason does not correctly explain Assertion

C Assertion is true but Reason is false

D Assertion is false but Reason is true

03 Mathematics

The expression x^2 + 2xy + y^2 equals (x - y)^2.

A True

B False

04 Mathematics

Using identity, 75^2 =

A 5525

B 5725

C 5652

D 5625

05 Mathematics

The identity (a - b)^2 has a negative middle term. Reason: The expansion of (a - b)(a - b) gives -ab - ab in the middle terms.

A Both Assertion and Reason are true and Reason correctly explains Assertion

B Both Assertion and Reason are true but Reason does not correctly explain Assertion

C Assertion is true but Reason is false

D Assertion is false but Reason is true

06 Mathematics

The term deciding the difference between (a + b)^2 and a^2 + b^2 is:

A a^2

B b^2

C 2ab

D a + b

07 Mathematics

The expression a^2 - b^2 factors as (a + b)(a - b). Reason: Multiplying (a + b)(a - b) cancels the middle terms.

A Both Assertion and Reason are true and Reason correctly explains Assertion

B Both Assertion and Reason are true but Reason does not correctly explain Assertion

C Assertion is true but Reason is false

D Assertion is false but Reason is true

08 Mathematics

The expression 9m^2 - 12mn + 4n^2 factors as:

A (3m + 2n)^2

B (3m - 2n)^2

C (9m - 2n)^2

D (3m - n)^2

09 Mathematics

What is a^2 + 2ab + b^2 when a = 2 and b = 3?

A 13

B 12

C 36

D 25

10 Mathematics

Factorise 121m^2 - 1.

A (11m - 1)^2

B (121m - 1)(m + 1)

C (11m + 1)^2

D (11m + 1)(11m - 1)

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