Select all of the equations below that are equivalent to: 8 = 9 − r Use properties of equality. Multi-select Choices: (A)18 = 9 − r + 8 (B)16 = 6 + 9 − r (C)20 = 9 − r + 12 (D)14 = 6 + 9 − r

Question

Select all of the equations below that are equivalent to:  8 = 9 − r Use properties of equality.    Multi-select Choices: (A)18 = 9  −  r  +  8 (B)16 = 6  +  9  −  r (C)20 = 9  −  r  +  12 (D)14 = 6  +  9  −  r

Bytelearn · Accepted Answer

Original Equation: To determine if an equation is equivalent to 8 = 9 − r, we can manipulate the original equation using properties of equality and compare it to each choice. Let's start with the original equation: 8 = 9 − r.Choice (A): For choice (A) 18 = 9 − r + 8, we can check if it's equivalent by adding 8 to both sides of the original equation. 8 + 8 = (9 − r) + 8 16 = 9 − r + 8 This does not match choice (A), which has 18 on the left side instead of 16.Choice (B): For choice (B) 16 = 6 + 9 − r, we can check if it's equivalent by adding 6 to both sides of the original equation. 8 + 6 = (9 − r) + 6 14 = 9 − r + 6 This does not match choice (B), which has 16 on the left side instead of 14.Choice (C): For choice (C) 20 = 9 − r + 12, we can check if it's equivalent by adding 12 to both sides of the original equation. 8 + 12 = (9 − r) + 12 20 = 9 − r + 12 This matches choice (C), so it is equivalent to the original equation.Choice (D): For choice (D) 14 = 6 + 9 − r, we can check if it's equivalent by adding 6 to both sides of the original equation. 8 + 6 = (9 − r) + 6 14 = 9 − r + 6 This matches choice (D), so it is equivalent to the original equation.

Select all of the equations below that are equivalent to: $\newline$ $8 = 9 - r$ $\newline$ Use properties of equality. $\newline$ $\newline$ Multi-select Choices: $\newline$ (A) $18 = 9 - r + 8$ $\newline$ (B) $16 = 6 + 9 - r$ $\newline$ (C) $20 = 9 - r + 12$ $\newline$ (D) $14 = 6 + 9 - r$

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