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Solve for $r$ . $\newline$ $|r| - 5 = 1$ $\newline$ 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| - 5 = 1

\newline

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

\newline

r =

_____ or

r =

_____

Set up the equation: Set up the equation. $\newline$ We are given $\lvert r \rvert - 5 = 1$ . We need to isolate $\lvert r \rvert$ on one side of the equation. $\newline$ Add $5$ to both sides of the equation to get $\lvert r \rvert$ on its own. $\newline$ $\lvert r \rvert - 5 + 5 = 1 + 5$ $\newline$ $\lvert r \rvert = 6$
Solve for $r$ : Solve for $r$ . $\newline$ Since $|r| = 6$ , $r$ can be either $6$ or $-6$ because the absolute value of both $6$ and $-6$ is $6$ . $\newline$ So, $r = 6$ or $r$ $0$ .

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\newline

What are the solutions to the given equation?

\newline

1

\newline

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\newline

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\newline

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\newline

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\$200

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\newline

1

\newline

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\newline

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