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Home > CC2 > Chapter Ch6 > Lesson 6.2.4 > Problem 6-102

6-102.

Write an expression for each mat below.  

  1. Simplify each mat to determine which expression is greater, if possible.

    Cancel out any zero pairs that you find.

    How many of each tile is left from each side? Use this information to write an expression for each mat.

    Mat A has the expression since there is one -tile and unit tiles. Mat B has the expression . Now remove any matched sets from both sides.

    We are left with:
    Mat A equals
    Mat B equals 
    Since we don't know the value of , we do not know which Mat is greater.

  2. If , would your answer to part (a) change? Explain.

    Which Mat is greater when you substitute for ?

  3. If , would your answer change? Explain.

    Which Mat is greater when you substitute for ?

Expression Comparison Mat, with tiles as follows: Mat A, 1 positive, x, 4 positive units, and 1 negative unit.  Mat B, 2 positive, x's and 2 positive units.

Shaded tile is plus 1.  Tile is negative 1.

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