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Home > INT1 > Chapter A > Lesson A.1.5 > Problem A-51

A-51.

WHICH IS GREATER?

For each Expression Comparison Mat below, simplify and determine which side is greater. Record your work by showing each move and the simplified expression that remains afterward.

Shaded tile is plus 1. Tile is negative 1.

  1. 4 region Expression Comparison Mat. Positive Left: 4 positive unit tiles, and 3 negative unit tiles Negative Left: 1 positive x tile, 2 positive unit tiles, and 2 negative unit tiles. Positive Right: 1 negative x tile, 3 positive unit tiles, and 2 negative unit tiles. Negative Right: 1 positive unit tile, and 3 negative unit tiles.

    Refer to the Math Notes box for help with reading the expression comparison mats.

    Remove the pairs from the bottom and the top.


    The right side is greater.

  1. 4 region Expression Comparison Mat. Positive Left: 2 negative x tiles, 2 positive unit tiles, and 4 negative unit tiles. Negative Left: 1 positive unit tile, and 1 negative unit tile. Positive Right: 1 negative x tile, 2 positive unit tiles, and 2 negative units tiles. Negative Right: 1 positive x tile, 2 positive unit tiles, and 1 negative unit tile.

    Refer to the steps in part (a).

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