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Determine the value of
y
y
y
, if
x
x
x
is
12
12
12
.
\newline
y
=
∣
x
∣
+
10
y=|x|+10
y
=
∣
x
∣
+
10
\newline
Answer:
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Math Problems
Grade 7
Evaluate absolute value expressions
Full solution
Q.
Determine the value of
y
y
y
, if
x
x
x
is
12
12
12
.
\newline
y
=
∣
x
∣
+
10
y=|x|+10
y
=
∣
x
∣
+
10
\newline
Answer:
Identify Given Values:
Identify the given values and the equation to use.
\newline
We are given that
x
x
x
is
12
12
12
and the equation
y
=
∣
x
∣
+
10
y = |x| + 10
y
=
∣
x
∣
+
10
.
Substitute Value into Equation:
Substitute the value of
x
x
x
into the equation.
\newline
Since
x
x
x
is
12
12
12
, we substitute
12
12
12
for
x
x
x
in the equation to get
y
=
∣
12
∣
+
10
y = |12| + 10
y
=
∣12∣
+
10
.
Calculate Absolute Value:
Calculate the absolute value of
x
x
x
. The absolute value of
12
12
12
is
12
12
12
, because
12
12
12
is already a positive number. So,
∣
12
∣
=
12
|12| = 12
∣12∣
=
12
.
Add
10
10
10
to Absolute Value:
Add
10
10
10
to the absolute value of
x
x
x
. Now we add
10
10
10
to
12
12
12
to find
y
y
y
:
y
=
12
+
10
y = 12 + 10
y
=
12
+
10
.
Perform Addition:
Perform the addition to find the value of
y
y
y
.
\newline
Adding
12
12
12
and
10
10
10
gives us
y
=
22
y = 22
y
=
22
.
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