Aspirant Academy
EN HI

algebraic-expressions-and-identities-l2 MCQ — 10 Practice Questions with Answers

Practice 10 algebraic-expressions-and-identities-l2 multiple-choice questions with detailed answers and explanations. Ideal for RAS/RPSC exam preparation.

10 Questions 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.

You've seen 5 of 10 questions

Sign up free to practice all questions with detailed explanations and track your progress.

More Questions (Sign up required)

Sign up to reveal

Q6. Which pair of terms is like terms?

A 4xy and -9yx
B 7x and 7x2
C 3a and 3b
D 5 and 5m
Sign up to reveal

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
Sign up to reveal

Q8. For (x + 2)(x + 5), which expansion is correct?

A x2 + 10
B x2 + 25
C x2 + 3x + 10
D x2 + 7x + 10
Sign up to reveal

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.
Sign up to reveal

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.

5 more questions available with a free account

Frequently Asked Questions

How many algebraic-expressions-and-identities-l2 MCQ questions are available?
There are 10 algebraic-expressions-and-identities-l2 practice MCQs available on Aspirant Academy, with detailed answers and explanations for each question.
Are answers and explanations provided for algebraic-expressions-and-identities-l2 MCQs?
Yes, every algebraic-expressions-and-identities-l2 question comes with the correct answer and a detailed explanation to help you understand the underlying concept.
How is algebraic-expressions-and-identities-l2 relevant to the RAS/RPSC exam?
algebraic-expressions-and-identities-l2 falls under the mathematics-science-reet section of the RAS/RPSC syllabus. It is a frequently tested area and regular practice with these MCQs will strengthen your preparation.
Can I practice algebraic-expressions-and-identities-l2 questions in Hindi?
Yes, Aspirant Academy offers bilingual support. You can practice algebraic-expressions-and-identities-l2 MCQs in both English and Hindi, including questions, options, and explanations.

More Topics in mathematics-science-reet

Continue your mathematics-science-reet preparation with these related topics.

area-perimeter-volume-surface-area-l2

10 questions

electricity-magnetism-l2

10 questions

food-and-agriculture-l2

10 questions

force-motion-simple-machines-l2

10 questions

graphs-and-coordinate-geometry-l2

10 questions

human-body-and-health-l2

10 questions

laws-of-indices-and-square-cube-roots-l2

10 questions

light-sound-heat-l2

10 questions

linear-equations-one-two-variables-l2

10 questions

living-world-plants-animals-l2

10 questions

matter-states-and-changes-l2

10 questions

micro-organisms-and-cell-l2

10 questions

natural-resources-and-environment-l2

10 questions

number-system-integers-rationals-l2

10 questions

pedagogy-of-mathematics-l2

10 questions

pedagogy-of-science-l2

10 questions

ratio-proportion-percentage-profit-loss-l2

10 questions

simple-compound-interest-l2

10 questions

statistics-and-data-handling-l2

10 questions

universe-and-space-l2

10 questions

View All mathematics-science-reet Topics

Explore Other Subjects

child-development-pedagogy Indian Constitution & Governance Rajasthan History, Art & Culture Indian Economy Current Affairs Science & Technology Indian History (Ancient & Medieval) social-studies

Ready to practice all 10 questions?

Create a free account to access all algebraic-expressions-and-identities-l2 MCQs, get detailed explanations, and track your progress across every subject.

Browse all subjects