Solve for h. |h + 1| = 3 Write your answers as integers or as proper or improper fractions in simplest form. h = _____ or h = _____

Understand absolute value equation: Understand the absolute value equation. The equation |h + 1| = 3 means that the expression inside the absolute value, h + 1, can either be 3 or -3, 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 h. Since |h + 1| can be 3 or -3, we write two equations: 1) h + 1 = 3 2) h + 1 = -3Solve first equation for h: Solve the first equation for h. Subtract 1 from both sides of the equation h + 1 = 3 to isolate h. h + 1 - 1 = 3 - 1 h = 2Solve second equation for h: Solve the second equation for h. Subtract 1 from both sides of the equation h + 1 = -3 to isolate h. h + 1 - 1 = -3 - 1 h = -4

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Solve for $h$ . $\newline$ $|h + 1| = 3$ $\newline$ Write your answers in simplest form.

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Algebra 2

Solve absolute value equations

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Q. Solve for

h

\newline

|h + 1| = 3

\newline

Write your answers in simplest form.

Understand absolute value equation: Understand the absolute value equation. $\newline$ The equation $|h + 1| = 3$ means that the expression inside the absolute value, $h + 1$ , can either be $3$ or $-3$ , 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 $h$ . Since $|h + 1|$ can be $3$ or $-3$ , we write two equations: $1$ ) $h + 1 = 3$ $2$ ) $h + 1 = -3$
Solve first equation for $h$ : Solve the first equation for $h$ . $\newline$ Subtract $1$ from both sides of the equation $h + 1 = 3$ to isolate $h$ . $\newline$ $h + 1 - 1 = 3 - 1$ $\newline$ $h = 2$
Solve second equation for $h$ : Solve the second equation for $h$ . $\newline$ Subtract $1$ from both sides of the equation $h + 1 = -3$ to isolate $h$ . $\newline$ $h + 1 - 1 = -3 - 1$ $\newline$ $h = -4$