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Solve for $k$ . $\newline$ $|k| - 3 = 3$ $\newline$ 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

|k| - 3 = 3

\newline

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

\newline

k =

_____ or

k =

_____

Set up the equation: Set up the equation. $\newline$ We are given $|k| - 3 = 3$ . To find the value of $k$ , we first need to isolate the absolute value on one side of the equation. $\newline$ Add $3$ to both sides of the equation to get $|k|$ on one side. $\newline$ $|k| - 3 + 3 = 3 + 3$ $\newline$ $|k| = 6$
Solve for $k$ : Solve for $k$ . $\newline$ The absolute value equation $|k| = 6$ means that $k$ can be either $6$ or $-6$ because the absolute value of both $6$ and $-6$ is $6$ . $\newline$ So, $k = 6$ or $k$ $0$ .

More problems from Solve absolute value equations

Question

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

n=3

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Question

\frac{1}{2} c^{2}+3 c=1

\newline

c=f

c=g

be the solutions to the given equation. If

f>g

, which of the following is the value of

f

\newline

1

\newline

-3+\sqrt{2}

\newline

-3+\sqrt{11}

\newline

3+\sqrt{2}

\newline

3+\sqrt{11}

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\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

hats. If Aiden purchases only t-shirts, he will get

80

t-shirts. Which of the following best models the relationship between the number of hats,

h

, and the number of t-shirts,

t

, that Aiden could purchase with this money?

\newline

1

\newline

40h+80t=400

\newline

80h+40t=200

\newline

5h+2.5t=200

\newline

2.5h+5t=200

Posted 8 months ago

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