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Solve for $v$ . $\newline$ $4 = |v| - 1$ $\newline$ Write your answers as integers or as proper or improper fractions in simplest form. $\newline$ $v =$ _ or $v =$ _

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Solve absolute value equations

Full solution

Q. Solve for

v

.

\newline

4 = |v| - 1

\newline

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

\newline

v =

_____ or

v =

_____

Isolate absolute value: Add $1$ to both sides of the equation to isolate the absolute value on one side. $\newline$ $4 = |v| - 1$ $\newline$ $4 + 1 = |v| - 1 + 1$ $\newline$ $5 = |v|$
Determine possible values: Determine the two possible values for $v$ that could result in the absolute value being $5$ . If $|v| = 5$ , then $v = 5$ or $v = -5$ .
Check for errors: Check for any potential math errors in the previous steps. $\newline$ Adding $1$ to both sides in Step $1$ was done correctly, and the understanding of the absolute value in Step $2$ is correct.

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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f>g

, which of the following is the value of

f

\newline

1

\newline

-3+\sqrt{2}

\newline

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\newline

3+\sqrt{2}

\newline

3+\sqrt{11}

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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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