Determine the value of y, if x is -4 . y=|x|+2 Answer:

Identify Absolute Value Operation: Identify the absolute value operation in the equation. The equation y = |x| + 2 contains an absolute value operation, which means we take the non-negative value of x, regardless of its actual sign.Substitute Value of x: Substitute the value of x into the equation. Since x is given as -4, we substitute -4 for x in the equation to get y = |-4| + 2.Evaluate Absolute Value of x: Evaluate the absolute value of x. The absolute value of -4 is 4, so the equation becomes y = 4 + 2.Perform Addition: Perform the addition to find the value of y. Adding 4 and 2 gives us y = 6.

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Determine the value of
y, if
x is -4 .

y=|x|+2
Answer:

Determine the value of $y$ , if $x$ is $-4$ . $\newline$ $y=|x|+2$ $\newline$ Answer:

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Math Problems

Grade 7

Evaluate absolute value expressions

Full solution

Q. Determine the value of

y

, if

x

-4

\newline

y=|x|+2

\newline

Answer:

Identify Absolute Value Operation: Identify the absolute value operation in the equation. $\newline$ The equation $y = |x| + 2$ contains an absolute value operation, which means we take the non-negative value of $x$ , regardless of its actual sign.
Substitute Value of $x$ : Substitute the value of $x$ into the equation. $\newline$ Since $x$ is given as $-4$ , we substitute $-4$ for $x$ in the equation to get $y = |-4| + 2$ .
Evaluate Absolute Value of $x$ : Evaluate the absolute value of $x$ . The absolute value of $-4$ is $4$ , so the equation becomes $y = 4 + 2$ .
Perform Addition: Perform the addition to find the value of $y$ . $\newline$ Adding $4$ and $2$ gives us $y = 6$ .