Solve for all values of x in simplest form. |x-13|=48 Answer: x=

Understand absolute value equation: Understand the absolute value equation |x - 13| = 48. The absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, |x - 13| = 48 means that the expression x - 13 is 48 units away from zero on the number line. This can happen in two ways: either x - 13 is 48 or x - 13 is -48.Solve first case: Solve the first case where x - 13 is 48. x - 13 = 48 Add 13 to both sides to isolate x. x = 48 + 13 x = 61Solve second case: Solve the second case where x - 13 is -48. x - 13 = -48 Add 13 to both sides to isolate x. x = -48 + 13 x = -35

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Solve for all values of
x in simplest form.

|x-13|=48
Answer:
x=

Solve for all values of $x$ in simplest form. $\newline$ $|x-13|=48$ $\newline$ Answer: $x=$

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Math Problems

Grade 8

Evaluate absolute value expressions

Full solution

Q. Solve for all values of

x

in simplest form.

\newline

|x-13|=48

\newline

Answer:

x=

Understand absolute value equation: Understand the absolute value equation $|x - 13| = 48$ . $\newline$ The absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, $|x - 13| = 48$ means that the expression $x - 13$ is $48$ units away from zero on the number line. This can happen in two ways: either $x - 13 = 48$ or $x - 13 = -48$ .
Solve first case: Solve the first case where $x - 13$ is $48$ . $\newline$ $x - 13 = 48$ $\newline$ Add $13$ to both sides to isolate $x$ . $\newline$ $x = 48 + 13$ $\newline$ $x = 61$
Solve second case: Solve the second case where $x - 13$ is $-48$ .
$x - 13 = -48$
Add $13$ to both sides to isolate $x$ .
$x = -48 + 13$
$x = -35$