Solve for k. |k − 4| = 5 Write your answers as integers or as proper or improper fractions in simplest form. k = _____ or k = _____

Understand absolute value equation: Understand the absolute value equation. The equation |k − 4| = 5 means that the expression inside the absolute value, k − 4, is 5 units away from 0 on the number line. This can happen in two ways: either k − 4 = 5 or k − 4 = -5.Solve first equation: Solve the first equation where k − 4 = 5. Add 4 to both sides to isolate k. k − 4 + 4 = 5 + 4 k = 9Solve second equation: Solve the second equation where k − 4 = -5. Add 4 to both sides to isolate k. k − 4 + 4 = -5 + 4 k = -1

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Solve for $k$ . $\newline$ $|k - 4| = 5$ $\newline$ Write your answers in simplest form.

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Algebra 2

Solve absolute value equations

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Q. Solve for

k

\newline

|k - 4| = 5

\newline

Write your answers in simplest form.

Understand absolute value equation: Understand the absolute value equation. $\newline$ The equation $|k - 4| = 5$ means that the expression inside the absolute value, $k - 4$ , is $5$ units away from $0$ on the number line. This can happen in two ways: either $k - 4 = 5$ or $k - 4 = -5$ .
Solve first equation: Solve the first equation where $k - 4 = 5$ . Add $4$ to both sides to isolate $k$ . $k - 4 + 4 = 5 + 4$ $k = 9$
Solve second equation: Solve the second equation where $k - 4 = -5$ . Add $4$ to both sides to isolate $k$ . $k - 4 + 4 = -5 + 4$ $k = -1$