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

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Solve absolute value equations

Full solution

Q. Solve for

t

.

\newline

-|t| = -1

\newline

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

\newline

t =

_____ or

t =

_____

Understand and Isolate Absolute Value: Understand the equation and isolate the absolute value. $\newline$ We have the equation $–|t| = –1$ . To find the value of $t$ , we first need to isolate the absolute value on one side of the equation. Since the absolute value is already isolated, we can proceed to the next step.
Remove Negative Sign: Remove the negative sign from both sides of the equation. $\newline$ We can do this by dividing both sides by $-1$ to get $|t| = 1$ . $\newline$ Calculation: $–|t| / -1 = –1 / -1$ $\newline$ Result: $|t| = 1$
Solve for $t$ : Solve for $t$ . The absolute value equation $|t| = 1$ means that $t$ can be either $1$ or $-1$ because the absolute value of both $1$ and $-1$ is $1$ . So, $t = 1$ or $t$ $0$ .

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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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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