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Solve for $r$ . $\newline$ $-|r| = -2$ $\newline$ Write your answers as integers or as proper or improper fractions in simplest form. $\newline$ $r =$ _ or $r =$ _

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Solve absolute value equations

Full solution

Q. Solve for

r

.

\newline

-|r| = -2

\newline

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

\newline

r =

_____ or

r =

_____

Understand and Isolate Absolute Value: Understand the equation and isolate the absolute value. $\newline$ The equation given is $–|r| = –2$ . To find the value of $r$ , we first need to isolate the absolute value term $|r|$ . Since the equation involves a negative absolute value, we can multiply both sides by $-1$ to get rid of the negative sign. $\newline$ So, multiplying both sides by $-1$ gives us $|r| = 2$ .
Solve for $r$ : Solve for $r$ . $\newline$ The absolute value equation $|r| = 2$ means that $r$ can be either $2$ or $-2$ because the absolute value of both $2$ and $-2$ is $2$ . $\newline$ Therefore, $r = 2$ or $r$ $0$ .

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3 n^{2}=27

\newline

What are the solutions to the given equation?

\newline

1

\newline

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\newline

n=3

\newline

n=-\sqrt{3}

n=\sqrt{3}

\newline

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\newline

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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

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\newline

1

\newline

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\newline

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