Select all of the equations below that are equivalent to: rs = 22 Use properties of equality. Multi-select Choices: (A)rs/11 = 2 (B)rs/11 = 4 (C)rs/–11 = –3 (D)rs/2 = 11

Question

Select all of the equations below that are equivalent to:  rs = 22 Use properties of equality.    Multi-select Choices: (A)rs/11 = 2 (B)rs/11 = 4 (C)rs/–11 = –3 (D)rs/2 = 11

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Analyze Equation and Properties: Analyze the given equation rs = 22 and the properties of equality to determine which of the multi-select choices are equivalent. We will use the property of equality that allows us to divide both sides of an equation by the same nonzero number to maintain equality.Check Choice (A): Check choice (A) rs/11 = 2. Divide both sides of the original equation rs = 22 by 11. rs/11 = 22/11 rs/11 = 2 This matches choice (A), so (A) is equivalent.Check Choice (B): Check choice (B) rs/11 = 4. Divide both sides of the original equation rs = 22 by 11. rs/11 = 22/11 rs/11 = 2 This does not match choice (B), so (B) is not equivalent.Check Choice (C): Check choice (C) rs/–11 = –3. Divide both sides of the original equation rs = 22 by -11. rs/(-11) = 22/(-11) rs/(-11) = -2 This does not match choice (C), so (C) is not equivalent.Check Choice (D): Check choice (D) rs/2 = 11. Divide both sides of the original equation rs = 22 by 2. rs/2 = 22/2 rs/2 = 11 This matches choice (D), so (D) is equivalent.

Select all of the equations below that are equivalent to: $\newline$ $rs = 22$ $\newline$ Use properties of equality. $\newline$ Multi-select Choices: $\newline$ (A) $\frac{rs}{11} = 2$ $\newline$ (B) $\frac{rs}{11} = 4$ $\newline$ (C) $\frac{rs}{-11} = -3$ $\newline$ (D) $\frac{rs}{2} = 11$

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