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A-30.

Write a simplified algebraic expression for each Expression Mat below.

Shaded tile is plus 1.  Tile is negative 1.

  1. 2 region expression mat with tiles as follows: Positive region: 2 positive x's, 2 positive units, 1 negative unit. Negative region: 2 positive units.

    Remove the zero pairs.
    What is an expression for the remaining tiles?

  1. 2 region expression mat with tiles as follows: Positive region: 1 positive x, 1 negative x, 3 positive units. Negative region: 1 negative units.

    On this mat, both -tiles in the (+) region can be removed, since they make a zero pair.
    Next, flip the unit tile in the (-) region to the (+) region, and then simplify.

  1. 2 region expression mat with tiles as follows: Positive region: 1 positive x square, 2 negative units. Negative region: 1 positive y, 2 positive units.

    Unlike in parts (a) and (b), this problem has no zero pairs.
    However, here is an un-simplified expression to get you started.

    Can you simplify that expression?