Determine the value of y, if x is -8 . y=|x|+2 Answer:

Identify absolute value operation: Identify the absolute value operation in the equation. The equation y = |x| + 2 includes an absolute value operation, which means we take the non-negative value of x, regardless of its original sign.Substitute x into equation: Substitute the value of x into the equation. Since x is given as -8, we substitute -8 for x in the equation to get y = |-8| + 2.Calculate absolute value of x: Calculate the absolute value of x. The absolute value of -8 is 8, so the equation becomes y = 8 + 2.Add 2 to absolute value of x: Add 2 to the absolute value of x. Adding 2 to 8 gives us y = 10.

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Determine the value of
y, if
x is -8 .

y=|x|+2
Answer:

Determine the value of $y$ , if $x$ is $-8$ . $\newline$ $y=|x|+2$ $\newline$ Answer:

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Math Problems

Grade 7

Evaluate absolute value expressions

Full solution

Q. Determine the value of

y

, if

x

-8

\newline

y=|x|+2

\newline

Answer:

Identify absolute value operation: Identify the absolute value operation in the equation. $\newline$ The equation $y = |x| + 2$ includes an absolute value operation, which means we take the non-negative value of $x$ , regardless of its original sign.
Substitute $x$ into equation: Substitute the value of $x$ into the equation. $\newline$ Since $x$ is given as $-8$ , we substitute $-8$ for $x$ in the equation to get $y = |-8| + 2$ .
Calculate absolute value of $x$ : Calculate the absolute value of $x$ . The absolute value of $-8$ is $8$ , so the equation becomes $y = 8 + 2$ .
Add $2$ to absolute value of x: Add $2$ to the absolute value of $x$ . $\newline$ Adding $2$ to $8$ gives us $y = 10$ .