Solve for all values of x in simplest form. 64=|8x| Answer: x=

Understand absolute value equation: Understand the absolute value equation. The absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, |8x| can be either 8x or -8x, depending on the value of x.Set up two equations: Set up two separate equations to solve for x. Since |8x| can be either 8x or -8x, we have two cases to consider: Case 1: 8x = 64 Case 2: -8x = 64Solve for x in Case 1: Solve for x in Case 1. Divide both sides of the equation by 8 to isolate x: 8x = 64 x = 64 / 8 x = 8Solve for x in Case 2: Solve for x in Case 2. Divide both sides of the equation by -8 to isolate x: -8x = 64 x = 64 / -8 x = -8

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Solve for all values of
x in simplest form.

64=|8x|
Answer:
x=

Solve for all values of $x$ in simplest form. $\newline$ $64=|8 x|$ $\newline$ Answer: $x=$

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Math Problems

Grade 7

Evaluate absolute value expressions

Full solution

Q. Solve for all values of

x

in simplest form.

\newline

64=|8 x|

\newline

Answer:

x=

Understand absolute value equation: Understand the absolute value equation. $\newline$ The absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, $|8x|$ can be either $8x$ or $-8x$ , depending on the value of $x$ .
Set up two equations: Set up two separate equations to solve for $x$ . Since $|8x|$ can be either $8x$ or $-8x$ , we have two cases to consider: Case $1$ : $8x = 64$ Case $2$ : $-8x = 64$
Solve for x in Case $1$ : Solve for x in Case $1$ . $\newline$ Divide both sides of the equation by $8$ to isolate x: $\newline$ $8x = 64$ $\newline$ $x = \frac{64}{8}$ $\newline$ $x = 8$
Solve for x in Case $2$ : Solve for x in Case $2$ . $\newline$ Divide both sides of the equation by $-8$ to isolate $x$ : $\newline$ $-8x = 64$ $\newline$ $x = \frac{64}{-8}$ $\newline$ $x = -8$