Determine the value of y, if x is -2 . y=|x+11| Answer:

Identify Given Values and Expression: Identify the given values and the expression for y. We are given that x is -2 and the expression for y is the absolute value of x plus 11, which is written as y = |x + 11|.Substitute Value of x: Substitute the value of x into the expression for y. Since x is -2, we substitute -2 for x in the expression to get y = |-2 + 11|.Simplify Expression: Simplify the expression inside the absolute value. |-2 + 11| simplifies to |9|, because -2 + 11 equals 9.Evaluate Absolute Value: Evaluate the absolute value. The absolute value of 9 is 9, because 9 is already a positive number. So, y = |9| = 9.

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Determine the value of
y, if
x is -2 .

y=|x+11|
Answer:

Determine the value of $y$ , if $x$ is $-2$ . $\newline$ $y=|x+11|$ $\newline$ Answer:

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Math Problems

Grade 7

Evaluate absolute value expressions

Full solution

Q. Determine the value of

y

, if

x

-2

\newline

y=|x+11|

\newline

Answer:

Identify Given Values and Expression: Identify the given values and the expression for $y$ . We are given that $x$ is $-2$ and the expression for $y$ is the absolute value of $x$ plus $11$ , which is written as $y = |x + 11|$ .
Substitute Value of $x$ : Substitute the value of $x$ into the expression for $y$ . Since $x$ is $-2$ , we substitute $-2$ for $x$ in the expression to get $y = \lvert -2 + 11 \rvert$ .
Simplify Expression: Simplify the expression inside the absolute value. $|-2 + 11|$ simplifies to $|9|$ , because $-2 + 11$ equals $9$ .
Evaluate Absolute Value: Evaluate the absolute value. $\newline$ The absolute value of $9$ is $9$ , because $9$ is already a positive number. So, $y = |9| = 9$ .