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Home > CCA > Chapter A > Lesson A.1.6 > Problem A-61

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?

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 -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 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.

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