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# Distributive Property with Algebra Tiles

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## Distributive Property with Algebra Tiles Answer Key

1.
Which equation represents the model?

$=$
1. $(x + 1) = 2x$
2. $2(x + 1) = 2x + 2$
3. $(x + 1)(x + 1) = 2 (x + 1)$
4. $2(x + 1)(x + 1) = 4x + 2$
2.
Write an equation for the model.

$=$
1. $3(x - 4) = 3x - 12$
2. $3(x + 4) = 3x + 12$
3. $3(x - 12) = 3x - 12$
4. $3(x + 12) = 3x + 12$
3.
Write an equation for the model.

$=$
1. $6 + 3x = 3(2 - x)$
2. $6 - 3x = 3(2 + x)$
3. $6 + 3x = 3(2 + x)$
4. $6 - 3x = 3(2 - x)$
4.
Write an equation for the model.

$=$

1. $4(2x + 3) = 8x + 12$
2. $4(2x - 3) = 8x - 12$
3. $8x + 12 = 4(2x + 3)$
4. $8x - 12 = 4(2x - 3)$
5.
Write an equation for the model.

$=$
1. $3(x + 1) = 9x$
2. $3(2x + 1) = 9x$
3. $3(x + 1) = 6x + 3$
4. $3(2x + 1) = 6x +3$
6.
Which set of tiles shows the expression below rewritten without parentheses?

$4(x - 1)$
7.
Which set of tiles shows the expression below rewritten without parentheses?

$2(x + 4)$
8.
Which set of tiles shows the expression below rewritten without parentheses?

$3(x - 2)$
9.
Which set of tiles shows the expression below rewritten without parentheses?

$2(2 - a)$
10.
Which set of tiles shows the expression below rewritten without parentheses?

$3(2m + 3)$
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