Determine the value of yy, if xx is 77.
y, equals, open vertical bar, x, close vertical bar, plus, 12
y=
∣x∣+12

The given equation is:

\[
y = |x| + 12
\]

We are asked to determine the value of \( y \) when \( x = 77 \).

1. First, find the absolute value of \( x \), which is \( |77| = 77 \) since \( x \) is positive.
2. Now, substitute \( 77 \) for \( |x| \) in the equation:

\[
y = 77 + 12 = 89
\]

Thus, the value of \( y \) is:

\[
y = 89
\]

Would you like more details or have any questions? Here are five related questions to consider:

1. What is the value of \( y \) if \( x = -77 \)?
2. How does the absolute value function affect negative values of \( x \)?
3. What happens to the equation if the constant 12 is changed to a different number?
4. How would you graph this equation for various values of \( x \)?
5. Can you derive a general formula for \( y \) based on a different expression for \( x \)?

**Tip:** Always remember, the absolute value function turns any negative number into its positive counterpart.

Determine the value of y, if x is 77. y = |x| + 12

Learn how to solve for y when x = 77 using the absolute value equation y = |x| + 12. This problem explains how the absolute value function works and provides a step-by-step solution, suitable for students in Grades 6-8.

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