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Solve for $k$ . $\newline$ $7 = 7|k|$ $\newline$ Write your answers as integers or as proper or improper fractions in simplest form. $\newline$ $k =$ _ or $k =$ _

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Solve absolute value equations

Full solution

Q. Solve for

k

.

\newline

7 = 7|k|

\newline

Write your answers as integers or as proper or improper fractions in simplest form.

\newline

k =

_____ or

k =

_____

Isolate absolute value: Isolate the absolute value. $\newline$ To find the value of $|k|$ , we need to isolate it on one side of the equation. Since the equation is $7 = 7|k|$ , we can divide both sides by $7$ to get $|k|$ by itself. $\newline$ $\frac{7}{7} = \frac{7|k|}{7}$ $\newline$ $1 = |k|$
Solve for $k$ : Solve for $k$ . The absolute value equation $|k| = 1$ means that $k$ can be either $1$ or $-1$ because the absolute value of both $1$ and $-1$ is $1$ . So, $k = 1$ or $k$ $0$ .

More problems from Solve absolute value equations

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3 n^{2}=27

\newline

What are the solutions to the given equation?

\newline

1

\newline

n=\sqrt{3}

\newline

n=3

\newline

n=-\sqrt{3}

n=\sqrt{3}

\newline

n=-3

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\newline

1

\newline

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\newline

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Question

\$200

with which to purchase hats and t-shirts that are to be sold at his class' next fundraiser. Each hat costs the same amount of money, and each t-shirt costs the same amount of money. If Aiden spends all his money entirely on hats, he will get

40

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h

, and the number of t-shirts,

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\newline

1

\newline

40h+80t=400

\newline

80h+40t=200

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