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Which is a correct representation of [tex]$x-2$[/tex] using algebra tiles?

A. [tex]$x$[/tex]
B. [tex]$-2$[/tex]

(Note: Ensure that the representations are visual and correctly reflect the concept of algebra tiles if this is to be used in a textbook with diagrams.)

Sagot :

GinnyAnsweridn
To represent \( x - 2 \) using algebra tiles, we need to consider two types of tiles:

1. Tiles representing \( x \).
2. Tiles representing the constant terms, where positive units are shown by a positive tile (e.g., +1) and negative units by a negative tile (e.g., -1).

Here's how we can break down \( x - 2 \):

1. The term \( x \) is represented by one \( x \)-tile.
2. The term \(-2\) is represented by two negative unit tiles (each representing -1).

Combining these, we have the following representation:
- One \( x \)-tile for the \( x \) term.
- Two negative unit tiles for the \(-2\) term.

Therefore, the correct representation of \( x - 2 \) using algebra tiles is:
- One \( x \)-tile.
- Two negative unit tiles.
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