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Solve for $v$ . $\newline$ $4 = |v| + 3$ $\newline$ 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| + 3

\newline

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

\newline

v =

_____ or

v =

_____

Isolate absolute value term: Isolate the absolute value term. $\newline$ Subtract $3$ from both sides of the equation to isolate the absolute value term. $\newline$ $4 - 3 = |v| + 3 - 3$ $\newline$ $1 = |v|$
Solve for $v$ : Solve for $v$ . $\newline$ Since $|v| = 1$ , $v$ can be either $1$ or $-1$ because the absolute value of both $1$ and $-1$ is $1$ . $\newline$ So, $v = 1$ or $v$ $0$ .

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

Posted 10 months ago

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6=3 x

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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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\newline

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that solves the equation

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\newline

x=

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Find the value of `x`

\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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