Select all of the equations below that are equivalent to: 12 = r − s Use properties of equality. Multi-select Choices: (A)18 = 8 + r − s (B)15 = r − s + 2 (C)18 = r − s + 6 (D)18 = r − s + 7

Question

Select all of the equations below that are equivalent to:  12 = r − s Use properties of equality.    Multi-select Choices: (A)18 = 8  +  r  −  s (B)15 = r  −  s  +  2 (C)18 = r  −  s  +  6 (D)18 = r  −  s  +  7

Bytelearn · Accepted Answer

Compare and Transform: To determine which equations are equivalent to 12 = r − s, we need to compare each choice with the original equation and see if they can be transformed into the original equation by using properties of equality, such as addition or subtraction.Check Choice (A): Let's start with choice (A) 18 = 8 + r − s. To check if it's equivalent, we can subtract 8 from both sides to see if we get the original equation. 18 - 8 = 8 + r − s - 8 10 = r − s This is not equivalent to 12 = r − s.Check Choice (B): Now let's check choice (B) 15 = r − s + 2. To check if it's equivalent, we can subtract 2 from both sides to see if we get the original equation. 15 - 2 = r − s + 2 - 2 13 = r − s This is not equivalent to 12 = r − s.Check Choice (C): Next, let's check choice (C) 18 = r − s + 6. To check if it's equivalent, we can subtract 6 from both sides to see if we get the original equation. 18 - 6 = r − s + 6 - 6 12 = r − s This is equivalent to 12 = r − s.Check Choice (D): Finally, let's check choice (D) 18 = r − s + 7. To check if it's equivalent, we can subtract 7 from both sides to see if we get the original equation. 18 - 7 = r − s + 7 - 7 11 = r − s This is not equivalent to 12 = r − s.

Select all of the equations below that are equivalent to: $\newline$ $12 = r - s$ $\newline$ Use properties of equality. $\newline$ Multi-select Choices: $\newline$ (A) $18 = 8 + r - s$ $\newline$ (B) $15 = r - s + 2$ $\newline$ (C) $18 = r - s + 6$ $\newline$ (D) $18 = r - s + 7$

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