Select all of the equations below that are equivalent to: 16 + v = –18 Use properties of equality. Multi-select Choices: (A)–75 + –5v = –5 · –18 (B)–64 + –4v = –4 · –18 (C)90 + 6v = 6 · –18 (D)–32 + –2v = –2 · –18

Determine Equivalence: We need to determine which of the given equations are equivalent to the original equation by using properties of equality. We will check each option by applying the distributive property and simplifying to see if it matches the original equation.Check Option (A): Let's start with option (A): –75 + –5v = –5 · –18 First, we apply the distributive property to the right side of the equation: –5 · –18 = 90 So, the equation becomes: –75 + –5v = 90 Now, we divide each term by –5 to see if it simplifies to the original equation: (–75/–5) + (–5v/–5) = 90/–5 This simplifies to: 15 + v = –18 This does not match the original equation, so option (A) is not equivalent.

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Select all of the equations below that are equivalent to: $\newline$ $16 + v = -18$ $\newline$ Use properties of equality. $\newline$ Multi-select Choices: $\newline$ (A) $-75 + -5v = -5 \cdot -18$ $\newline$ (B) $-64 + -4v = -4 \cdot -18$ $\newline$ (C) $90 + 6v = 6 \cdot -18$ $\newline$ (D) $-32 + -2v = -2 \cdot -18$

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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

16 + v = -18

\newline

Use properties of equality.

\newline

Multi-select Choices:

\newline

(A)

-75 + -5v = -5 \cdot -18

\newline

(B)

-64 + -4v = -4 \cdot -18

\newline

(C)

90 + 6v = 6 \cdot -18

\newline

(D)

-32 + -2v = -2 \cdot -18

Determine Equivalence: We need to determine which of the given equations are equivalent to the original equation by using properties of equality. We will check each option by applying the distributive property and simplifying to see if it matches the original equation.
Check Option (A): Let's start with option (A): $-75 + -5v = -5 \cdot -18$ $\newline$ First, we apply the distributive property to the right side of the equation: $-5 \cdot -18 = 90$ $\newline$ So, the equation becomes: $-75 + -5v = 90$ $\newline$ Now, we divide each term by $-5$ to see if it simplifies to the original equation: $(-75/-5) + (-5v/-5) = 90/-5$ $\newline$ This simplifies to: $15 + v = -18$ $\newline$ This does not match the original equation, so option (A) is not equivalent.