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Which expression has the same value as
8y+(-2x) ?

2x+8y

8y+2x

8y-(-2x)

-2x-(-8y)

Which expression has the same value as $8 y+(-2 x)$ ? $\newline$ $2 x+8 y$ $\newline$ $8 y+2 x$ $\newline$ $8 y-(-2 x)$ $\newline$ $-2 x-(-8 y)$

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Function transformation rules

Full solution

Q. Which expression has the same value as

8 y+(-2 x)

?

\newline

2 x+8 y

\newline

8 y+2 x

\newline

8 y-(-2 x)

\newline

-2 x-(-8 y)

Identify Equivalent Expression: To find an expression that has the same value as $8y+(-2x)$ , we need to look for an expression that is algebraically equivalent.
Simplify Expression: The expression $8y+(-2x)$ can be simplified by removing the parentheses, which gives us $8y - 2x$ .
Compare with Given Choices: Now, let's compare the simplified expression $8y - 2x$ with the given choices: $\newline$ $1$ . $2x + 8y$ is not equivalent because the terms are not in the same order, and the sign in front of $2x$ is positive instead of negative. $\newline$ $2$ . $8y + 2x$ is not equivalent because the sign in front of $2x$ is positive instead of negative. $\newline$ $3$ . $8y - (-2x)$ is equivalent because the double negative on $2x$ becomes positive, resulting in $8y + 2x$ , which is the same as $8y - 2x$ . $\newline$ $4$ . $-2x - (-8y)$ is not equivalent because the double negative on $2x + 8y$ $0$ becomes positive, resulting in $2x + 8y$ $1$ , which is not the same as $8y - 2x$ due to the order of the terms.
Determine Equivalence: Therefore, the expression that has the same value as $8y+(-2x)$ is $8y - (-2x)$ , which simplifies to $8y + 2x$ .

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