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2-59.

Find a simplified algebraic expression for each Expression Mat below. 2-30a HW eTool (CPM), 2-30b HW eTool (CPM) and 2-30c HW eTool (CPM).  Homework Help ✎

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

$2x−1$

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

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 the link at right for the full version of the eTool: CC3 2-30b HW eTool

Unlike in parts (a) and (b), this problem has no zero pairs.
However, here is an un-simplified expression to get you started.

$x^2+(−1)+(−1)-(y+1+1)$
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: CC3 2-30c HW eTool