Understanding Polynomials with Algebra Tiles (Grade 9)

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Understanding Polynomials with Algebra Tiles

Instructions: Combine like terms for all answers.

1. 
What expression does the set of tiles represent?

Green Rectangle XGreen Rectangle XGreen Rectangle X4 Yellow Unit Squares 1Yellow Unit Square 1
  1. [math]x^3 + 5[/math]
  2. [math]x^3 - 5[/math]
  3. [math]3x + 5[/math]
  4. [math]3x - 5[/math]
2. 
What expression does the set of tiles represent?

Green Rectangle XGreen Rectangle XGreen Rectangle XGreen Rectangle XRed Unit Square -1Red Unit Square -1
  1. [math]2x[/math]
  2. [math]-8x[/math]
  3. [math]x^4 - 2[/math]
  4. [math]4x - 2[/math]
3. 
What expression does the set of tiles represent?

Blue Square X2Blue Square X2Yellow Unit Square 1Yellow Unit Square 1Yellow Unit Square 1
  1. [math]2x + 3[/math]
  2. [math]2x^2 + 3[/math]
  3. [math]2x - 3[/math]
  4. [math]2x^2 - 3[/math]
4. 
What expression does the set of tiles represent?

Green RectangleGreen Rectangle4 Red Unit Squares
  1. [math]6x[/math]
  2. [math]-8x[/math]
  3. [math]2x + 4[/math]
  4. [math]2x - 4[/math]
5. 
What expression does the set of tiles represent?

Red SquareRed SquareGreen RectangleGreen RectangleGreen Rectangle
Red SquareRed Square4 Yellow Unit SquaresYellow Unit Square
  1. [math]4x^2 - 3x + 5[/math]
  2. [math]-4x^2 - 3x + 5[/math]
  3. [math]4x^2 + 3x + 5[/math]
  4. [math]-4x^2 + 3x + 5[/math]
6. 
What expression does the set of tiles represent?

Blue Square X2Blue Square X2Blue Square X2Red Rectangle -XRed Rectangle -XRed Rectangle -XRed Rectangle -XYellow Unit Square 1Yellow Unit Square 1
  1. [math]x^6 - x + 2[/math]
  2. [math]x^6 - 4x + 2[/math]
  3. [math]3x^2 - x + 2[/math]
  4. [math]3x^2 - 4x + 2[/math]
7. 
Which set of tiles represents the expression below?

[math]-x + 6[/math]
  1. Red RectangleYellow Unit SquareYellow Unit SquareYellow Unit SquareYellow Unit SquareYellow Unit SquareYellow Unit Square
  2. Green RectangleRed Unit SquareRed Unit SquareRed Unit SquareRed Unit SquareRed Unit SquareRed Unit Square
  3. Red SquareYellow Unit SquareYellow Unit SquareYellow Unit SquareYellow Unit SquareYellow Unit SquareYellow Unit Square
  4. Blue SquareRed Unit SquareRed Unit SquareRed Unit SquareRed Unit SquareRed Unit SquareRed Unit Square
8. 
Which set of tiles represents the expression below?

[math]7x - 8[/math]
  1. Red RectangleRed RectangleRed RectangleRed RectangleRed RectangleRed RectangleRed Rectangle4 Red Unit Squares4 Red Unit Squares
  2. Red RectangleRed RectangleRed RectangleRed RectangleRed RectangleRed RectangleRed Rectangle4 Yellow Unit Squares4 Yellow Unit Squares
  3. Green RectangleGreen RectangleGreen RectangleGreen RectangleGreen RectangleGreen RectangleGreen Rectangle4 Red Unit Squares4 Red Unit Squares
  4. Green RectangleGreen RectangleGreen RectangleGreen RectangleGreen RectangleGreen RectangleGreen Rectangle4 Yellow Unit Squares4 Yellow Unit Squares
9. 
Which set of tiles represents the expression below?

[math]x^2 - x - 6[/math]
  1. Blue SquareGreen Rectangle4 Yellow Unit SquaresYellow Unit SquareYellow Unit Square
  2. Blue SquareRed Rectangle4 Red Unit SquaresRed Unit SquareRed Unit Square
  3. Red SquareGreen Rectangle4 Yellow Unit SquaresYellow Unit SquareYellow Unit Square
  4. Red SquareRed Rectangle4 Red Unit SquaresRed Unit SquareRed Unit Square
10. 
Which set of tiles represents the expression below?

[math]x^2 - 9[/math]
  1. Blue Square4 Red Unit Squares4 Red Unit SquaresRed Unit Square
  2. Blue Square4 Yellow Unit Squares4 Yellow Unit SquaresYellow Unit Square
  3. Blue SquareBlue Square4 Red Unit Squares4 Red Unit SquaresRed Unit Square
  4. Blue SquareBlue Square4 Yellow Unit Squares4 Yellow Unit SquaresYellow Unit Square

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