Given that 𝑝=3, 𝑞=−1 and 𝑟=11, choose the two answer options containing expressions of equal value.A2⁢𝑝⁢𝑞⁢𝑟B4⁢𝑝+𝑟⁢𝑞C𝑟+2⁢𝑞D𝑝⁢𝑟𝑞E3⁢𝑝

Question

Given that $p=3$ , $q=-1$ and $r=11$ , choose the two answer options containing expressions of equal value.

A. $2pq \cdot r$
B. $4p + r \cdot q$
C. $r + 2q$
D. $p \cdot r \cdot q$
E. $3p$

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Solution

Let's calculate each expression one by one:

A) 2𝑝𝑞𝑟 = 23(-1)11 = -66 B) 4𝑝+𝑟𝑞 = 43 + 11*(-1) = 12 - 11 = 1 C) 𝑟+2𝑞 = 11 + 2*(-1) = 11 - 2 = 9 D) 𝑝𝑟𝑞 = 311(-1) = -33 E) 3𝑝 = 3*3 = 9

So, the two expressions of equal value are C) 𝑟+2𝑞 and E) 3𝑝, both equal to 9.

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