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algebraic-expressions-and-identities-l2 MCQ — 10 अभ्यास प्रश्न उत्तर सहित

10 algebraic-expressions-and-identities-l2 बहुविकल्पीय प्रश्नों का अभ्यास करें, विस्तृत उत्तर और व्याख्या सहित। RAS/RPSC परीक्षा की तैयारी के लिए आदर्श।

10 प्रश्न mathematics-science-reet

Practice Questions

Q1. Which result is the correct factorisation of 8p + 12?

A 20p
B p(8 + 12)
C 8(p + 12)
D 4(2p + 3) Correct

Explanation

Factorisation must expand back to the original expression. Since 4(2p + 3) expands to 8p + 12, it is the correct product form.

Q2. Match the instruction with the correct result for 6x + 9.

A Factorise -> 3(2x + 3) Correct
B Expand -> 3(2x + 3)
C Evaluate -> 3(2x + 3)
D Collect like terms -> 15x

Explanation

Factorisation rewrites the whole expression as a product. Karan should notice that both 6x and 9 share factor 3, giving 3(2x + 3).

Q3. A learner writes (p + q)^2 = p2 + q2. Which feedback is best?

A Accept it because both p and q have been squared.
B Ask the learner to draw the square of side p + q and locate two pq parts. Correct
C Tell the learner to memorise the formula without discussion.
D Change the topic to equations because identities are too advanced.

Explanation

The best feedback uses a square area model. Imran can see p2, pq, pq and q2, so the missing middle term 2pq becomes necessary rather than memorised.

Q4. Simplify: 5a + 2b + 3a.

A 10ab
B 8a + 2b Correct
C 5a + 5b
D 8ab

Explanation

Only the a-terms combine: 5a + 3a = 8a. Devika should leave 2b unchanged because b is not the same variable part as a.

Q5. Which statement about expressions, equations and identities is correct?

A An expression must always contain an equality sign.
B An equation is true for all values of variables by definition.
C An identity is an equality true for all permitted variable values. Correct
D Factorisation means replacing variables with numbers.

Explanation

An identity such as (a + b)(a - b) = a2 - b2 works for every permitted value. A usual equation like x + 3 = 7 is solved for a particular value.

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Q6. Which pair of terms is like terms?

A 4xy and -9yx
B 7x and 7x2
C 3a and 3b
D 5 and 5m
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Q7. Which identity explains (m + 3)^2?

A a2 - b2 = (a + b)(a - b)
B (a - b)^2 = a2 - 2ab + b2
C (a + b)^2 = a2 + 2ab + b2
D a(b + c) = ab + ac
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Q8. For (x + 2)(x + 5), which expansion is correct?

A x2 + 10
B x2 + 25
C x2 + 3x + 10
D x2 + 7x + 10
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Q9. Meena has low vision and uses high-contrast cards to sort terms. What should the teacher assess first?

A Whether her handwriting is as fast as other learners.
B Whether she can group like terms using the accessible cards.
C Whether she memorises every identity before sorting terms.
D Whether she avoids using cards and writes only symbols.
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Q10. Assertion: 4(x - 3) = 4x - 12. Reason: A factor outside a bracket multiplies every term inside the bracket.

A Both assertion and reason are true, and the reason explains the assertion.
B Both are true, but the reason does not explain the assertion.
C Assertion is true, reason is false.
D Assertion is false, reason is true.

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Frequently Asked Questions

algebraic-expressions-and-identities-l2 के कितने MCQ प्रश्न उपलब्ध हैं?
Aspirant Academy पर 10 algebraic-expressions-and-identities-l2 अभ्यास MCQ उपलब्ध हैं, प्रत्येक प्रश्न के लिए विस्तृत उत्तर और व्याख्या सहित।
क्या algebraic-expressions-and-identities-l2 MCQ के लिए उत्तर और व्याख्याएँ दी गई हैं?
हाँ, algebraic-expressions-and-identities-l2 के प्रत्येक प्रश्न के साथ सही उत्तर और विस्तृत व्याख्या दी गई है ताकि आप मूल अवधारणा को समझ सकें।
algebraic-expressions-and-identities-l2 RAS/RPSC परीक्षा के लिए कैसे प्रासंगिक है?
algebraic-expressions-and-identities-l2 RAS/RPSC पाठ्यक्रम के mathematics-science-reet अनुभाग के अंतर्गत आता है। यह एक नियमित रूप से परीक्षा में पूछा जाने वाला क्षेत्र है और इन MCQ के नियमित अभ्यास से आपकी तैयारी मजबूत होगी।
क्या मैं algebraic-expressions-and-identities-l2 के प्रश्नों का हिंदी में अभ्यास कर सकता हूँ?
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