Question

Need help with Absolute Value Equations for Algebra 1

Fan And Medal

Answer 1

posting them will help

Answer 2

Solve for x: −4|x + 5| = −16

x = 21/4 , x = −11/4

x = −1, x = 9

x = −1, x = −9

No solution

Answer 3

\(\bf -4|x + 5| = -16\implies |x + 5| =\cfrac{-16}{-4}\implies |x + 5| =4\\ \quad \\
|x + 5| =4\implies
\begin{cases}
+(x + 5) =4\\ \quad \\
\bf -(x + 5) =4
\end{cases}\)

so you'd get 2 values for "x", just solve each scenario

Answer 4

I keep on getting -5 for both of them

Answer 5

\(\bf |x + 5| =4\implies
\begin{cases}
+(x + 5) =4\implies x+5=4\\ \quad \\
\bf -(x + 5) =4\implies -x-5=4
\end{cases}
\)

Answer 6

neither one is -5 btw

Answer 7

I got -1 and 9 ,
Is that right ?

Answer 8

yeap

Answer 9

well.. -1 and ... -9

Answer 10

Can you help me with this one too please ?
I just want to make sure that I understand it .

Solve for x: |x + 2| + 16 = 14

x = −32 and x = −4

x = −4 and x = 0

x = 0 and x = 28

No solution

Answer 11

well. you do the same thing, you isolate the absolute value expression, and then solve the 2 scenarios

\(\bf |x + 2| + 16 = 14\implies|x + 2| =14-16\implies|x + 2|=-2\\ \quad \\
|x + 2|=-2\implies
\begin{cases}
+(x + 2)=-2\\ \quad \\
\bf -(x + 2)=-2
\end{cases}\)

Answer 12

-4 and 0 ?

Answer 13

Two equations are listed below. Solve each equation and compare the solutions. Choose the statement that is true about both solutions.

Equation 1 Equation 2
|5x − 6| = −41 |7x + 13| = 27
Equation 1 has more solutions than equation 2.

Equation 1 and Equation 2 have the same number of solutions.

Equation 2 has more solutions than Equation 1.

The number of solutions cannot be determined.

Answer 14

well... based on the scenarios of the previous ones, what do you think?

how many solutions do each one have?

Answer 15

2 ?

Answer 16

:)