Select all of the equations below that are equivalent to: $\newline$ $pq = 11$ $\newline$ Use properties of equality. $\newline$ Multi-select Choices: $\newline$ (A) $9 + pq = 20$ $\newline$ (B) $4 + pq = 15$ $\newline$ (C) $pq + 7 = 18$ $\newline$ (D) $2 + pq = 13$

Full solution

Q. Select all of the equations below that are equivalent to:

\newline

pq = 11

\newline

Use properties of equality.

\newline

Multi-select Choices:

\newline

(A)

9 + pq = 20

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(B)

4 + pq = 15

\newline

(C)

pq + 7 = 18

\newline

(D)

2 + pq = 13

Understand the problem: Understand the problem. $\newline$ We are given the equation $pq = 11$ and we need to find which of the given choices are equivalent to this equation by using properties of equality.
Analyze choice A: Analyze the first choice (A) $9 + pq = 20$ . To check if this is equivalent to $pq = 11$ , we can subtract $9$ from both sides of the equation. $9 + pq - 9 = 20 - 9$ $pq = 11$ This is the same as the given equation $pq = 11$ .
Analyze choice B: Analyze the second choice (B) $4 + pq = 15$ . To check if this is equivalent to $pq = 11$ , we can subtract $4$ from both sides of the equation. $4 + pq - 4 = 15 - 4$ $pq = 11$ This is the same as the given equation $pq = 11$ .
Analyze choice C: Analyze the third choice (C) $pq + 7 = 18$ . To check if this is equivalent to $pq = 11$ , we can subtract $7$ from both sides of the equation. $pq + 7 - 7 = 18 - 7$ $pq = 11$ This is the same as the given equation $pq = 11$ .
Analyze choice D: Analyze the fourth choice (D) $2 + pq = 13$ . To check if this is equivalent to $pq = 11$ , we can subtract $2$ from both sides of the equation. $2 + pq - 2 = 13 - 2$ $pq = 11$ This is the same as the given equation $pq = 11$ .