Question

1. circle the name of the student who correctly wrote the equation modeled below. then, find the solution to the equation. penny 2x=-8 - x finley 2 = 8 + x gene 2=-8 - x asia 2x=-6x - 1 solution: _

Explanation:

Step1: Analyze the balance model

The left - hand side of the balance has two 1 - unit blocks, so it represents 2. The right - hand side has one negative \(x\) block and eight negative 1 - unit blocks, which represents \(-8 - x\). The correct equation is \(2=-8 - x\), so Gene wrote the correct equation.

Step2: Solve the equation \(2=-8 - x\)

Add \(x\) to both sides: \(2 + x=-8\).

Step3: Isolate \(x\)

Subtract 2 from both sides: \(x=-8 - 2\).

Step4: Calculate the value of \(x\)

\(x=-10\).

Answer:

The student who correctly wrote the equation is Gene. The solution to the equation is \(x = - 10\).