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Solve for $f$ . $\newline$ $-4 = -2|f|$ $\newline$ Write your answers as integers or as proper or improper fractions in simplest form. $\newline$ $f =$ _ or $f =$ _

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Solve absolute value equations

Full solution

Q. Solve for

f

.

\newline

-4 = -2|f|

\newline

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

\newline

f =

_____ or

f =

_____

Isolate absolute value term: Isolate the absolute value term. $\newline$ Divide both sides of the equation by $-2$ to isolate $|f|$ . $\newline$ $-4 / -2 = (-2|f|) / -2$ $\newline$ $2 = |f|$
Divide by $-2$ : Solve for $f$ . $\newline$ Since $|f| = 2$ , $f$ can be either $2$ or $-2$ because the absolute value of both $2$ and $-2$ is $2$ . $\newline$ So, $f = 2$ or $f$ $0$ .

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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\newline

c=f

c=g

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, which of the following is the value of

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\newline

1

\newline

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\newline

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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

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