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Home > AC > Chapter 3 > Lesson 3.1.1 > Problem 3-4

3-4.

WHICH IS GREATER?

Write the algebraic expressions shown below. Use “legal” simplification moves to determine which expression in the expression comparison mat is greater.  

Shaded tile is plus 1.  Tile is negative 1.

  1. 4 Region Expression Comparison Mat with the following tiles: Positive Left: 4 negative units and 1 positive unit. Negative Left: 1 negative unit and 2 positive units. Positive Right: 3 negative units.  Negative Right: 4 positive units.

    Refer to the Math Notes box in Lesson 2.1.6.

    Remove zero pairs from each region of the mats.

    Find the value of each mat.

    Left

    Right

      The left Expression Comparison Mat is greater.

  1. 4 Region Expression Comparison Mat with the following tiles: Positive Left: 3 negative units and 1 positive unit. Negative Left: 1 positive x, 3 positive units and 1 negative x. Positive Right: 1 positive x, 2 positive units, and 1 negative unit. Negative Right: 1 positive x, and 2 positive units.

    See the hint in part (a).

Use the eTools below to help solve the problems.
Click the link at right for the full version of the eTool: 3-4a HW eTool 

Click the link at right for the full version of the eTool: 3-4b HW eTool