Select all of the equations below that are equivalent to: uv = 12 Use properties of equality. Multi-select Choices: (A)3 + uv = 16 (B)uv + 7 = 17 (C)uv + 2 = 16 (D)4 + uv = 16

Original Equation: To determine if an equation is equivalent to uv = 12, we can manipulate the original equation and compare it to the choices given. We start with the original equation: uv = 12Choice (A) Comparison: For choice (A), we can add 3 to both sides of the original equation to see if it matches: uv + 3 = 12 + 3 uv + 3 = 15 This does not match choice (A), which states uv + 3 = 16.Choice (B) Comparison: For choice (B), we can add 7 to both sides of the original equation to see if it matches: uv + 7 = 12 + 7 uv + 7 = 19 This does not match choice (B), which states uv + 7 = 17.Choice (C) Comparison: For choice (C), we can add 2 to both sides of the original equation to see if it matches: uv + 2 = 12 + 2 uv + 2 = 14 This does not match choice (C), which states uv + 2 = 16.Choice (D) Comparison: For choice (D), we can add 4 to both sides of the original equation to see if it matches: uv + 4 = 12 + 4 uv + 4 = 16 This matches choice (D), which states uv + 4 = 16.

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Select all of the equations below that are equivalent to: $\newline$ $uv = 12$ $\newline$ Use properties of equality. $\newline$ Multi-select Choices: $\newline$ (A) $3 + uv = 16$ $\newline$ (B) $uv + 7 = 17$ $\newline$ (C) $uv + 2 = 16$ $\newline$ (D) $4 + uv = 16$

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Math Problems

Algebra 1

Identify equivalent equations

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Q. Select all of the equations below that are equivalent to:

\newline

uv = 12

\newline

Use properties of equality.

\newline

Multi-select Choices:

\newline

(A)

3 + uv = 16

\newline

(B)

uv + 7 = 17

\newline

(C)

uv + 2 = 16

\newline

(D)

4 + uv = 16

Original Equation: To determine if an equation is equivalent to $uv = 12$ , we can manipulate the original equation and compare it to the choices given. We start with the original equation: $\newline$ $uv = 12$
Choice (A) Comparison: For choice (A), we can add $3$ to both sides of the original equation to see if it matches: $\newline$ $uv + 3 = 12 + 3$ $\newline$ $uv + 3 = 15$ $\newline$ This does not match choice (A), which states $uv + 3 = 16$ .
Choice (B) Comparison: For choice (B), we can add $7$ to both sides of the original equation to see if it matches: $\newline$ $uv + 7 = 12 + 7$ $\newline$ $uv + 7 = 19$ $\newline$ This does not match choice (B), which states $uv + 7 = 17$ .
Choice (C) Comparison: For choice (C), we can add $2$ to both sides of the original equation to see if it matches: $\newline$ $uv + 2 = 12 + 2$ $\newline$ $uv + 2 = 14$ $\newline$ This does not match choice (C), which states $uv + 2 = 16$ .
Choice (D) Comparison: For choice (D), we can add $4$ to both sides of the original equation to see if it matches: $\newline$ $uv + 4 = 12 + 4$ $\newline$ $uv + 4 = 16$ $\newline$ This matches choice (D), which states $uv + 4 = 16$ .