Determine the value of y, if x is -7 . y=|x|+6 Answer:

Identify Absolute Value: Identify the absolute value operation in the equation. The equation y = |x| + 6 includes 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 -7, we substitute -7 for x in the equation to get y = |-7| + 6.Calculate Absolute Value: Calculate the absolute value of x. The absolute value of -7 is 7, so the equation becomes y = 7 + 6.Add 6 to x: Add 6 to the absolute value of x. Adding 7 and 6 gives us y = 13.

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Determine the value of
y, if
x is -7 .

y=|x|+6
Answer:

Determine the value of $y$ , if $x$ is $-7$ . $\newline$ $y=|x|+6$ $\newline$ Answer:

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Math Problems

Grade 7

Evaluate absolute value expressions

Full solution

Q. Determine the value of

y

, if

x

-7

\newline

y=|x|+6

\newline

Answer:

Identify Absolute Value: Identify the absolute value operation in the equation. $\newline$ The equation $y = |x| + 6$ includes 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 $-7$ , we substitute $-7$ for $x$ in the equation to get $y = |-7| + 6$ .
Calculate Absolute Value: Calculate the absolute value of $x$ . The absolute value of $-7$ is $7$ , so the equation becomes $y = 7 + 6$ .
Add $6$ to $x$ : Add $6$ to the absolute value of $x$ . $\newline$ Adding $7$ and $6$ gives us $y = 13$ .