CPM Homework Banner
A-61.

Find a simplified algebraic expression for each expression mat below. 

Shaded tile is plus 1.  Tile is negative 1.

  1. Expression Mat. Positive region has 2 positive, x tiles, 2 positive unit tiles, and 1 negative unit tile. Negative region has 2 positive unit tiles.

The circled tiles can be removed, since they make zero pairs. What is an expression for the remaining tiles?

2x − 1

Use the eTool below to find the simplified algebraic expression.
Click on the link at right for the full eTool version: CCA A-61a HW eTool

  1. Expression Mat. Positive region has 1, positive x tile, 1, negative x tile and 3, positive unit tiles. Negative region has 1, negative unit tile.

On this mat, both x-tiles in the (+) region can be removed, since they make a zero pair. Next, flip the −1 unit tile in the (−) region to the (+) region, and then simplify.

Use the eTool below to find the simplified algebraic expression.
Click on the link at right for the full eTool version: CCA A-61b HW eTool

  1. Expression Mat. Positive region has 1 positive, x squared tile, and 2 negative unit tiles. Negative region has 1 positive, y tile and 2 positive unit tiles.

Unlike in parts (a) and (b), this problem has no zero pairs. However, here is an un-simplified expression to get you started.
x2 + (−1) + (−1) − (y + 1 + 1)
Can you simplify that expression?

Use the eTool below to find the simplified algebraic expression.
Click on the link at right for the full eTool version: CCA A-61c HW eTool