Solve for j. |j + 6| = 2 Write your answers as integers or as proper or improper fractions in simplest form. j = _____ or j = _____

Understand absolute value equation: Understand the absolute value equation. The equation |j + 6| = 2 means that the expression inside the absolute value, j + 6, can either be 2 or -2, because the absolute value of a number is its distance from zero on the number line, which is always non-negative.Set up two equations: Set up two separate equations to solve for j. Since |j + 6| can be either 2 or -2, we write two equations: 1) j + 6 = 2 2) j + 6 = -2Solve first equation for j: Solve the first equation for j. Subtract 6 from both sides of the first equation: j + 6 - 6 = 2 - 6 j = -4Solve second equation for j: Solve the second equation for j. Subtract 6 from both sides of the second equation: j + 6 - 6 = -2 - 6 j = -8

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Solve for $j$ . $\newline$ $|j + 6| = 2$ $\newline$ Write your answers in simplest form.

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Algebra 2

Solve absolute value equations

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Q. Solve for

j

\newline

|j + 6| = 2

\newline

Write your answers in simplest form.

Understand absolute value equation: Understand the absolute value equation. $\newline$ The equation $|j + 6| = 2$ means that the expression inside the absolute value, $j + 6$ , can either be $2$ or $-2$ , because the absolute value of a number is its distance from zero on the number line, which is always non-negative.
Set up two equations: Set up two separate equations to solve for $j$ . Since $|j + 6|$ can be either $2$ or $-2$ , we write two equations: $1$ ) $j + 6 = 2$ $2$ ) $j + 6 = -2$
Solve first equation for j: Solve the first equation for j. $\newline$ Subtract $6$ from both sides of the first equation: $\newline$ $j + 6 - 6 = 2 - 6$ $\newline$ $j = -4$
Solve second equation for j: Solve the second equation for j. $\newline$ Subtract $6$ from both sides of the second equation: $\newline$ $j + 6 - 6 = -2 - 6$ $\newline$ $j = -8$