Question

how would you model the equation 3x - 4 = 5 using algebra tiles? four positive one tiles on one side, and five negative one tiles on the other side four negative one tiles on one side, and five positive one tiles on the other side four positive variable tiles and three negative one tiles on one side, and five three positive variable tiles and five negative one tiles on one side, and four

Explanation:

Algebra tiles model each term of the equation: $3x$ is 3 positive variable tiles, $-4$ is 4 negative one tiles, and $5$ is 5 positive one tiles. The left side of the equation ($3x-4$) is grouped together, and the right side ($5$) is on the other side. The correct option matches this structure.

Answer:

B. Four negative one tiles on one side, and five positive one tiles on the other side (paired with three positive variable tiles on the negative one tile side, as implied by the equation $3x-4$ on one side and $5$ on the other)

Note: Based on the full correct model for $3x-4=5$: On one side, place 3 positive variable tiles and 4 negative one tiles; on the other side, place 5 positive one tiles. The option that aligns with the constant term pairing (and implies the variable tiles) is the purple option: "Four negative one tiles on one side, and five positive one tiles on the other side" (with the 3 positive variable tiles on the side with the negative ones, to represent $3x-4$).