Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A2B7-E455
wer.
xist for
|(1)/(2)x+1|=5 ?
ights reserved.
om/assessments-delivery/print/a/45552884

A $2$ B $7$ -E $455$ $\newline$ wer. $\newline$ xist for $\left|\frac{1}{2} x+1\right|=5$ ? $\newline$ ights reserved. $\newline$ om/assessments-delivery/print/a/ $45552884$

View step-by-step help

View step-by-step help

Solve absolute value equations

Full solution

Q. A

2

B

7

-E

455

\newline

wer.

\newline

xist for

\left|\frac{1}{2} x+1\right|=5

?

\newline

ights reserved.

\newline

om/assessments-delivery/print/a/

45552884

Isolate absolute value: Isolate the absolute value expression. $|\frac{1}{2}x + 1| = 5$
Consider positive case: Consider the positive case of the absolute value. $\newline$ $(\frac{1}{2})x + 1 = 5$
Subtract and simplify: Subtract $1$ from both sides. $\newline$ $(\frac{1}{2})x = 5 - 1$ $\newline$ $(\frac{1}{2})x = 4$
Multiply to solve: Multiply both sides by $2$ to solve for $x$ . $x = 4 \times 2$ $x = 8$
Consider negative case: Now consider the negative case of the absolute value. $\newline$ $\frac{1}{2}x + 1 = -5$

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 4 months ago

Question

6=3 x

, what is the value of

x

Posted 2 months ago

Question

9=9 x

, what is the value of

x

Posted 1 month ago

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}

Posted 2 months ago

Question

Find the value of

x

that solves the equation

\ln (x-3)=1+\ln 2

\newline

Posted 3 months ago

Question

Find the value of

x

that solves the equation

\ln (x-1)+\ln 5=2

\newline

Posted 3 months ago

Question

Find the value of

x

that solves the equation

\ln (x+3)-\ln 2=0

\newline

Posted 3 months ago

Question

Find the value of

x

that solves the equation

\ln (x-3)-3 \ln 4=\ln 10

\newline

x=

Posted 3 months ago

Question

Find the value of `x`

\newline

6x+32=8x-8

Posted 2 months ago

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 2 months ago