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6-6.

Write  the expression shown on each of the Expression Mats below. Then simplify them by making zeros and combining like terms.

Shaded tile is plus 1.  Tile is negative 1.

  1. Expression Mat with tiles as follows: Row 1: 1 positive x and 1 positive unit. Row 2: 1 negative x, and 3 negative units.

    Notice that a grey tile and a white tile of the same value cancel each other out and make a zero. Circle around the positive x and the negative x tiles, with the tiles crossed out, labeled 0. A second circle around the positive unit and the negative unit tiles, with the tiles crossed out, labeled 0.

    Now write an expression for the values that remain. A circle is added around the remaining 2 unit tiles.

    Circle around the positive x and the negative x tiles, with the tiles crossed out, labeled 0. A second circle around the positive unit and the negative unit tiles, with the tiles crossed out, labeled 0.

    A circle is added around the remaining 2 unit tiles.

  1. Expression Mat with tiles as follows: Row 1: 2 positive x squared's, Rows 2 & 3: 2 positive x's, and 1 positive unit. Row 4: 1 negative x, and 3 negative units.

    See part (a).

Use the eTool below to solve part (a).
Click the link at right for the full version of the eTool: CC2 6-6 HW eTool