algebraic-expressions-and-identities-l2 is a mathematics-science topic in the RAS/RPSC syllabus. This page gathers exam-style algebraic-expressions-and-identities-l2 multiple-choice questions with correct answers and explanations, so aspirants can test recall and revise frequently examined concepts.
Practice 10 algebraic-expressions-and-identities-l2 multiple-choice questions with detailed answers and explanations. Ideal for RAS/RPSC exam preparation.
Reviewed by: Aspirant Academy Editorial Team
Q1. Which result is the correct factorisation of 8p + 12?
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.
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?
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.
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?
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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