In this hanger, the weight of the triangle is \(x\) and the weight of the square is \(y\).

1. Write an equation using \(x\) and \(y\) to represent the hanger.

2. If \(x\) is 6, what is \(y\)?

Andre and Diego are each trying to solve \(2x+6=3x-8\). Describe the first step they each make to the equation.

1. The result of Andre’s first step is \(\text-x+6=\text-8\).
2. The result of Diego’s first step is \(6=x-8\).

Match each set of equations with the move that turns the first equation into the second.

Describe a rigid transformation that takes Polygon \(A\) to Polygon \(B\).

<p>Two figures in an x y plane. Figure A is L shaped and has vertices at negative 6 comma 3, negative 6 comma 2, negative 3 comma 2, negative 3 comma 1, negative 2 comma 1, negative 2 comma 3. Figure B is L shaped and has vertices at 2 comma negative 1, 2 comma negative 3, 6 comma negative 3, 6 comma negative 2, 3 comma negative 2, 3 comma negative 1.</p>  

Match each expression in the first list with an equivalent expression from the second list.

Factor each expression.

1. \(15a-13a\)
2. \(\text-6x-18y\)
3. \(36abc+54ad\)