Question

florida b.e.s.t. assessment pracma.912.ar.4.11. elena has a budget of $50 for anew watch. she finds two watchesthat are $8 above and $8 belowher budget, respectively.part awrite an absolute value equationthat can be used to find the pricesof the watches elena finds.$0 = |x + square| + square$part bwhat are the prices of the watcheselena finds?LXB0square$2. which are the solutions to theequation $0 = |3x + 3| + 3$?a no solution

Explanation:

Step1: Define variable and relationship

Let $x$ = watch price, budget = 50, difference = 8. The absolute value of (price - budget) equals 8. Rearrange to match given form:
$0 = |x - 50| - 8$

Step2: Solve absolute value equation

Split into two cases:
Case 1: $x - 50 = 8$
$x = 50 + 8 = 58$
Case 2: $x - 50 = -8$
$x = 50 - 8 = 42$

Step3: Verify the equation form

The given template $0 = |x + \square| + \square$ requires rewriting $|x - 50|$ as $|x + (-50)|$, so the equation is $0 = |x + (-50)| - 8$, meaning the blanks are $-50$ and $-8$.

Answer:

Part A

$0 = |x + (-50)| + (-8)$

Part B

$\$58$ and $\$42$