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Select all of the equations below that are equivalent to:\newlinepq=4pq = 4\newlineUse properties of equality.\newlineMulti-select Choices:\newline(A) 6+pq=106 + pq = 10\newline(B) pq+12=15pq + 12 = 15\newline(C) pq+6=8pq + 6 = 8\newline(D) pq+4=6pq + 4 = 6

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Q. Select all of the equations below that are equivalent to:\newlinepq=4pq = 4\newlineUse properties of equality.\newlineMulti-select Choices:\newline(A) 6+pq=106 + pq = 10\newline(B) pq+12=15pq + 12 = 15\newline(C) pq+6=8pq + 6 = 8\newline(D) pq+4=6pq + 4 = 6
  1. Identify Equation: Identify the original equation.\newlinepq=4pq = 4
  2. Analyze Choice (A): Analyze choice (A) to see if it is equivalent to pq=4pq = 4. \newline6+pq=106 + pq = 10\newlineSubtract 66 from both sides to isolate pqpq.\newlinepq=106pq = 10 - 6\newlinepq=4pq = 4
  3. Analyze Choice (B): Analyze choice (B) to see if it is equivalent to pq=4pq = 4. \newlinepq+12=15pq + 12 = 15\newlineSubtract 1212 from both sides to isolate pqpq.\newlinepq=1512pq = 15 - 12\newlinepq=3pq = 3\newlineThis is not equivalent to pq=4pq = 4.
  4. Analyze Choice (C): Analyze choice (C) to see if it is equivalent to pq=4pq = 4. \newlinepq+6=8pq + 6 = 8\newlineSubtract 66 from both sides to isolate pqpq.\newlinepq=86pq = 8 - 6\newlinepq=2pq = 2\newlineThis is not equivalent to pq=4pq = 4.
  5. Analyze Choice (D): Analyze choice (D) to see if it is equivalent to pq=4pq = 4.pq+4=6pq + 4 = 6Subtract 44 from both sides to isolate pqpq.pq=64pq = 6 - 4pq=2pq = 2This is not equivalent to pq=4pq = 4.

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