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Utilizing algebra tiles, model the following expressions: (2x² - 4x) and (x² - x - 1).

User Evsheino
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Final answer:

To model (2x² - 4x) and (x² - x - 1) with algebra tiles, 2 large squares represent 2x², and 4 negative rectangles represent -4x for the first expression. For the second expression, use 1 large square for x², 1 negative rectangle for -x, and 1 negative small square for -1.

Step-by-step explanation:

To model the algebraic expressions (2x² - 4x) and (x² - x - 1) using algebra tiles, we would represent each term with a corresponding tile. Generally, a large square represents x², a rectangle represents x, and a small square represents constants (numbers).

For the expression (2x² - 4x):

  • You would use 2 large squares to represent the 2x².
  • You would also use 4 rectangles; however, these rectangles would be flipped to the negative side to represent the -4x.

For the expression (x² - x - 1):

  • You would use 1 large square to represent the x²
  • You would use 1 rectangle, flipped to the negative side, to represent -x.
  • Lastly, you would use 1 small square, also flipped to the negative side, to represent the -1.

These visual representations help illustrate how algebraic terms combine and interact.

User GiampaoloGabba
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