Question

Which is the correct way to model the equationX+8= {X+{-8) using algebra tiles?​

Answer 1

The equation X+8 = X+(-8) is modeled using algebra tiles by representing X with tiles on each side of the equation, and using eight positive and eight negative tiles to represent +8 and -8 respectively. This illustrates that the two sides balance, showing the equality of the equation.

Step-by-step explanation:

The correct way to model the equation X+8= X+(-8) using algebra tiles involves understanding that addition or subtraction of the same number on both sides of an equation does not change its equality. When using algebra tiles, you represent the variable X with a tile, and positive and negative numbers with different colored tiles.

Step 1: Place one variable tile to represent X and eight positive tiles to represent +8 on one side of the equation. Step 2: Place one variable tile to represent X and eight negative tiles to represent -8 on the other side of the equation. You should find that the two sides balance, indicating that 8 and -8 cancel each other out, leaving X equal to X.

Answer 2

To model the equation X + 8 = X + (-8) using algebra tiles, represent X with a blue tile, +8 with a yellow tile, and -8 with a red tile.

Step-by-step explanation:

To model the equation X + 8 = X + (-8) using algebra tiles, we can represent the variable X using a blue tile. Since we have +8 on one side and -8 on the other side, we can represent the positive 8 with a yellow tile and the negative 8 with a red tile.

So, on one side, we have the blue tile (representing X) and the yellow tile (representing +8) together. On the other side, we have just the blue tile (representing X).

Therefore, the correct way to model the equation X + 8 = X + (-8) using algebra tiles is to have the blue tile and the yellow tile on one side, and only the blue tile on the other side.