Select all of the equations below that are equivalent to: v − w = 12 Use properties of equality. Multi-select Choices: (A)v − w − 4 = 7 (B)v − w − 7 = 5 (C)v − w − 8 = 4 (D)v − w − 5 = 7

Question

Select all of the equations below that are equivalent to:  v − w = 12 Use properties of equality.    Multi-select Choices: (A)v  −  w  −  4 = 7 (B)v  −  w  −  7 = 5 (C)v  −  w  −  8 = 4 (D)v  −  w  −  5 = 7

Bytelearn · Accepted Answer

Manipulate Original Equation: To determine if the equations are equivalent, we can manipulate the original equation v − w = 12 by adding or subtracting the same value from both sides.Check Option (A): Let's start with option (A): v − w − 4 = 7. We can add 4 to both sides of the original equation v − w = 12 to see if we get 7 on the right side. v − w + 4 = 12 + 4 v − w + 4 = 16 This does not equal 7, so option (A) is not equivalent.Check Option (B): Now, let's check option (B): v − w − 7 = 5. We can add 7 to both sides of the original equation v − w = 12 to see if we get 5 on the right side. v − w + 7 = 12 + 7 v − w + 7 = 19 This does not equal 5, so option (B) is not equivalent.Check Option (C): Next, let's check option (C): v − w − 8 = 4. We can add 8 to both sides of the original equation v − w = 12 to see if we get 4 on the right side. v − w + 8 = 12 + 8 v − w + 8 = 20 This does not equal 4, so option (C) is not equivalent.Check Option (D): Finally, let's check option (D): v − w − 5 = 7. We can add 5 to both sides of the original equation v − w = 12 to see if we get 7 on the right side. v − w + 5 = 12 + 5 v − w + 5 = 17 This does not equal 7, so option (D) is not equivalent.

Select all of the equations below that are equivalent to: $\newline$ $v - w = 12$ $\newline$ Use properties of equality. $\newline$ Multi-select Choices: $\newline$ (A) $v - w - 4 = 7$ $\newline$ (B) $v - w - 7 = 5$ $\newline$ (C) $v - w - 8 = 4$ $\newline$ (D) $v - w - 5 = 7$

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