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Home > CC3 > Chapter 2 > Lesson 2.1.3 > Problem 2-30

2-30.

Find a simplified algebraic expression for each Expression Mat below. 2-30a HW eTool  2-30b HW eTool  , and 2-30c HW eTool   (CPM) Shaded tile is plus 1.  Tile is negative 1.

  1. A 2 region expression mat.  The positive region has 2 positive unit tiles, 1 negative unit tile and 2 positive x tiles. The negative region has 2 positive unit tiles.

Determine the zero pairs and remove them. What is an expression for the remaining tiles?

Use the eTool below to find the simplified algebraic expression.
Click the link at right for the full version of the eTool: CC3 2-30a HW eTool  

  1. A 2 region expression mat. The positive region has 3 positive unit tiles, 1 positive x tile and 1 negative x tile. The negative region has 1 negative unit tile.

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

Use the eTool below to find the simplified algebraic expression.
Click the link at right for the full version of the eTool: 2-30b HW eTool 

  1. A 2 region expression mat. The positive region has 1 positive x squared tile and 2 negative unit tiles. The 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.


Can you simplify that expression?

Use the eTool below to find the simplified algebraic expression.
Click the link at right for the full version of the eTool: 2-30c HW eTool