Solve for p. 7 = |p + 2| Write your answers as integers or as proper or improper fractions in simplest form. p = _____ or p = _____

Understand absolute value equation: Understand the absolute value equation. The equation 7 = |p + 2| means that the expression inside the absolute value, p + 2, can be either positive or negative 7, because the absolute value of a number is always non-negative.Set up two equations: Set up two separate equations to solve for p. Since |p + 2| can be either 7 or -7, we write two equations: 1) p + 2 = 7 2) p + 2 = -7Solve first equation for p: Solve the first equation for p. Subtract 2 from both sides of the equation p + 2 = 7 to isolate p. p + 2 - 2 = 7 - 2 p = 5Solve second equation for p: Solve the second equation for p. Subtract 2 from both sides of the equation p + 2 = -7 to isolate p. p + 2 - 2 = -7 - 2 p = -9

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Solve for $p$ . $\newline$ $7 = |p + 2|$ $\newline$ Write your answers in simplest form.

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Algebra 2

Solve absolute value equations

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Q. Solve for

p

\newline

7 = |p + 2|

\newline

Write your answers in simplest form.

Understand absolute value equation: Understand the absolute value equation. $\newline$ The equation $7 = |p + 2|$ means that the expression inside the absolute value, $p + 2$ , can be either positive or negative $7$ , because the absolute value of a number is always non-negative.
Set up two equations: Set up two separate equations to solve for $p$ . Since $|p + 2|$ can be either $7$ or $-7$ , we write two equations: $\newline$ $1$ ) $p + 2 = 7$ $\newline$ $2$ ) $p + 2 = -7$
Solve first equation for $p$ : Solve the first equation for $p$ . $\newline$ Subtract $2$ from both sides of the equation $p + 2 = 7$ to isolate $p$ . $\newline$ $p + 2 - 2 = 7 - 2$ $\newline$ $p = 5$
Solve second equation for $p$ : Solve the second equation for $p$ . $\newline$ Subtract $2$ from both sides of the equation $p + 2 = -7$ to isolate $p$ . $\newline$ $p + 2 - 2 = -7 - 2$ $\newline$ $p = -9$