Distributive Property with Algebra Tiles (Grade 6)

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Distributive Property with Algebra Tiles

1. 
Which equation represents the model?

White RectangleWhite Unit Square White RectangleWhite Unit Square[math]=[/math]White RectangleWhite RectangleWhite Unit SquareWhite Unit Square
  1. [math](x + 1) = 2x[/math]
  2. [math]2(x + 1) = 2x + 2[/math]
  3. [math](x + 1)(x + 1) = 2 (x + 1)[/math]
  4. [math]2(x + 1)(x + 1) = 4x + 2[/math]
2. 
Write an equation for the model.

White Rectangle4 Black Unit Squares White Rectangle4 Black Unit Squares White Rectangle4 Black Unit Squares[math]=[/math]White RectangleWhite RectangleWhite Rectangle4 Black Unit Squares4 Black Unit Squares4 Black Unit Squares
  1. [math]3(x - 4) = 3x - 12[/math]
  2. [math]3(x + 4) = 3x + 12[/math]
  3. [math]3(x - 12) = 3x - 12[/math]
  4. [math]3(x + 12) = 3x + 12[/math]
3. 
Write an equation for the model.

White Unit SquareWhite Unit SquareWhite Unit SquareWhite Unit SquareWhite Unit SquareWhite Unit SquareWhite RectangleWhite RectangleWhite Rectangle[math]=[/math]White Unit SquareWhite Unit SquareWhite Rectangle White Unit SquareWhite Unit SquareWhite Rectangle White Unit SquareWhite Unit SquareWhite Rectangle
  1. [math]6 + 3x = 3(2 - x)[/math]
  2. [math]6 - 3x = 3(2 + x)[/math]
  3. [math]6 + 3x = 3(2 + x)[/math]
  4. [math]6 - 3x = 3(2 - x)[/math]
4. 
Write an equation for the model.

White RectangleWhite RectangleWhite RectangleWhite RectangleWhite RectangleWhite RectangleWhite RectangleWhite Rectangle4 Black Unit Squares4 Black Unit Squares4 Black Unit Squares[math]=[/math]

White RectangleWhite RectangleBlack Unit SquareBlack Unit SquareBlack Unit SquareWhite RectangleWhite RectangleBlack Unit SquareBlack Unit SquareBlack Unit SquareWhite RectangleWhite RectangleBlack Unit SquareBlack Unit SquareBlack Unit SquareWhite RectangleWhite RectangleBlack Unit SquareBlack Unit SquareBlack Unit Square
  1. [math]4(2x + 3) = 8x + 12[/math]
  2. [math]4(2x - 3) = 8x - 12[/math]
  3. [math]8x + 12 = 4(2x + 3)[/math]
  4. [math]8x - 12 = 4(2x - 3)[/math]
5. 
Write an equation for the model.

White RectangleWhite RectangleWhite Unit SquareWhite RectangleWhite RectangleWhite Unit SquareWhite RectangleWhite RectangleWhite Unit Square[math]=[/math]White RectangleWhite RectangleWhite RectangleWhite RectangleWhite RectangleWhite RectangleWhite Unit SquareWhite Unit SquareWhite Unit Square
  1. [math]3(x + 1) = 9x[/math]
  2. [math]3(2x + 1) = 9x[/math]
  3. [math]3(x + 1) = 6x + 3[/math]
  4. [math]3(2x + 1) = 6x +3[/math]
6. 
Which set of tiles shows the expression below rewritten without parentheses?

[math]4(x - 1)[/math]
  1. White RectangleWhite RectangleWhite RectangleWhite RectangleBlack Unit Square
  2. White RectangleWhite RectangleWhite RectangleWhite Rectangle4 Black Unit Squares
  3. White RectangleWhite RectangleWhite RectangleWhite RectangleWhite Unit Square
  4. White RectangleWhite RectangleWhite RectangleWhite Rectangle4 White Unit Squares
7. 
Which set of tiles shows the expression below rewritten without parentheses?

[math]2(x + 4)[/math]
  1. White RectangleWhite Rectangle4 White Unit Squares
  2. White RectangleWhite Rectangle4 White Unit Squares4 White Unit Squares
  3. White RectangleWhite Rectangle4 Black Unit Squares
  4. White RectangleWhite Rectangle4 Black Unit Squares4 Black Unit Squares
8. 
Which set of tiles shows the expression below rewritten without parentheses?

[math]3(x - 2)[/math]
  1. White RectangleWhite Unit SquareWhite Unit SquareWhite RectangleWhite Unit SquareWhite Unit SquareWhite RectangleWhite Unit SquareWhite Unit Square
  2. Black RectangleBlack Unit SquareBlack Unit SquareBlack RectangleBlack Unit SquareBlack Unit SquareBlack RectangleBlack Unit SquareBlack Unit Square
  3. White RectangleWhite RectangleWhite RectangleBlack Unit SquareBlack Unit Square
  4. White RectangleWhite RectangleWhite Rectangle4 Black Unit SquaresBlack Unit SquareBlack Unit Square
9. 
Which set of tiles shows the expression below rewritten without parentheses?

[math]2(2 - a)[/math]
  1. 4 White Unit SquaresBlack RectangleBlack Rectangle
  2. 4 White Unit SquaresWhite RectangleWhite Rectangle
  3. White RectangleWhite RectangleBlack Unit Square
  4. White RectangleWhite RectangleBlack Unit SquareBlack Unit Square
10. 
Which set of tiles shows the expression below rewritten without parentheses?

[math]3(2m + 3)[/math]
  1. White RectangleWhite RectangleWhite Rectangle4 White Unit Squares4 White Unit SquaresWhite Unit Square
  2. White RectangleWhite RectangleWhite Rectangle4 White Unit SquaresWhite Unit SquareWhite Unit Square
  3. White RectangleWhite RectangleWhite RectangleWhite RectangleWhite RectangleWhite Rectangle4 White Unit Squares4 White Unit SquaresWhite Unit Square
  4. White RectangleWhite RectangleWhite RectangleWhite RectangleWhite RectangleWhite Rectangle4 White Unit SquaresWhite Unit SquareWhite Unit Square

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