Determine the value of y, if x is -8 . y=|x|+1 Answer:

Identify Absolute Value: Identify the absolute value operation in the equation. The equation y=|x|+1 includes an absolute value operation, which means we take the non-negative value of x, regardless of its original sign.Substitute Value of x: 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|+1.Calculate Absolute Value: Calculate the absolute value of x. The absolute value of -8 is 8, because absolute value is the distance a number is from zero on the number line, without considering direction. So, y=8+1.Add 1 to Absolute Value: Add 1 to the absolute value of x. After calculating the absolute value, we add 1 to it, which gives us y=8+1=9.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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

y=|x|+1
Answer:

Determine the value of $y$ , if $x$ is $-8$ . $\newline$ $y=|x|+1$ $\newline$ Answer:

View step-by-step help

Home

Math Problems

Grade 7

Evaluate absolute value expressions

Full solution

Q. Determine the value of

y

, if

x

-8

\newline

y=|x|+1

\newline

Answer:

Identify Absolute Value: Identify the absolute value operation in the equation. $\newline$ The equation $y=|x|+1$ includes an absolute value operation, which means we take the non-negative value of $x$ , regardless of its original sign.
Substitute Value of $x$ : 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 $y=|-8|+1$ .
Calculate Absolute Value: Calculate the absolute value of $x$ . The absolute value of $-8$ is $8$ , because absolute value is the distance a number is from zero on the number line, without considering direction. So, $y=8+1$ .
Add $1$ to Absolute Value: Add $1$ to the absolute value of $x$ . After calculating the absolute value, we add $1$ to it, which gives us $y=8+1=9$ .