Modeling Equations with Algebra Tiles (Grade 7)

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Modeling Equations with Algebra Tiles

1. 
Which equation does the set of tiles represent?

Green Rectangle XYellow Unit Square 1Yellow Unit Square 1[math]=[/math]4 Yellow Unit Squares 1
  1. [math]2 - x = 2[/math]
  2. [math]2 + x = 2[/math]
  3. [math]x - 2 = 4[/math]
  4. [math]x + 2 = 4[/math]
2. 
Which equation does the set of tiles represent?

Green Rectangle XRed Unit Square -1Red Unit Square -1Red Unit Square -1[math]=[/math]4 Yellow Unit Squares 14 Yellow Unit Squares 1
  1. [math]x + 3 = 8[/math]
  2. [math]x - 3 = 8[/math]
  3. [math]x + 8 = 11[/math]
  4. [math]x - 8 = 11[/math]
3. 
Which equation does the set of tiles represent?

Green Rectangle XGreen Rectangle XYellow Unit Square 1[math]=[/math]4 Yellow Unit Squares 1Yellow Unit Square 1
  1. [math]2x + 1 = 5[/math]
  2. [math]2x - 1 = 5[/math]
  3. [math]x + 2 = 5[/math]
  4. [math]x - 2 = 5[/math]
4. 
Which equation does the set of tiles represent?

Green Rectangle XGreen Rectangle X4 Yellow Unit Squares 1[math]=[/math]4 Red Unit Squares -14 Red Unit Squares -1Red Unit Square -1Red Unit Square -1
  1. [math]2x - 4 = 10[/math]
  2. [math]2x + 4 = 10[/math]
  3. [math]2x - 4 = -10[/math]
  4. [math]2x + 4 = -10[/math]
5. 
Which equation does the set of tiles represent?

Green RectangleGreen RectangleGreen RectangleRed Unit SquareRed Unit Square[math]=[/math]4 Yellow Unit Squares
  1. [math]x - 1 = 4[/math]
  2. [math]x + 1 = 4[/math]
  3. [math]3x - 2 = 4[/math]
  4. [math]3x + 2 = 4[/math]
6. 
Which equation does the set of tiles represent?

Red RectangleRed Rectangle4 Red Unit Squares4 Red Unit Squares[math]=[/math]4 Yellow Unit SquaresYellow Unit SquareYellow Unit Square
  1. [math]2x - 8 = 6[/math]
  2. [math]2x + 8 = 6[/math]
  3. [math]-2x - 8 = 6[/math]
  4. [math]-2x + 8 = 6[/math]
7. 
Which equation does the set of tiles represent?

Green RectangleGreen RectangleYellow Unit SquareYellow Unit Square[math]=[/math]Green Rectangle4 Red Unit Squares
  1. [math]2x + 2 = x + 4[/math]
  2. [math]2x + 2 = x - 4[/math]
  3. [math]2x - 2 = x + 4[/math]
  4. [math]2x - 2 = x - 4[/math]
8. 
Which equation does the set of tiles represent?

Red RectangleRed RectangleRed Rectangle4 Yellow Unit SquaresYellow Unit SquareYellow Unit Square[math]=[/math]Green RectangleGreen Rectangle4 Red Unit Squares
  1. [math]3x + 6 = 2x - 4[/math]
  2. [math]-3x + 6 = 2x + 4[/math]
  3. [math]3x + 6 = 2x + 4[/math]
  4. [math]-3x + 6 = 2x - 4[/math]
9. 
Kelsey's garden has 4 tomatoes plants. She decides to add some more, bringing the total number of tomato plants to 12. Which set of tiles represents the equation for the number of tomatoes plants in Kelsey's garden?
  1. Green Rectangle4 Yellow Unit Squares[math]=[/math]4 Yellow Unit Squares4 Yellow Unit Squares4 Yellow Unit Squares
  2. 4 Yellow Unit Squares[math]=[/math]Green Rectangle4 Yellow Unit Squares4 Yellow Unit Squares4 Yellow Unit Squares
  3. Green Rectangle4 Red Unit Squares[math]=[/math]4 Yellow Unit Squares4 Yellow Unit Squares4 Yellow Unit Squares
  4. 4 Red Unit Squares[math]=[/math]Green Rectangle4 Yellow Unit Squares4 Yellow Unit Squares4 Yellow Unit Squares
10. 
Katie earns money babysitting as shown by the equation below.

[math]t = 3c + 5[/math]

The variable c represents the number of children Katie babysits and t represents the total money she earns per hour. Which set of tiles represents the equation above if Katie earns $14 for a hour of babysitting.
  1. Green RectangleGreen RectangleGreen Rectangle[math]=[/math]4 Yellow Unit Squares4 Yellow Unit Squares4 Yellow Unit Squares4 Yellow Unit SquaresYellow Unit SquareYellow Unit SquareYellow Unit Square
  2. Red RectangleRed RectangleRed Rectangle[math]=[/math]4 Yellow Unit Squares4 Yellow Unit Squares4 Yellow Unit Squares4 Yellow Unit SquaresYellow Unit SquareYellow Unit SquareYellow Unit Square
  3. 4 Yellow Unit Squares4 Yellow Unit Squares4 Yellow Unit SquaresYellow Unit SquareYellow Unit Square[math]=[/math]Green RectangleGreen RectangleGreen Rectangle4 Yellow Unit SquaresYellow Unit Square
  4. 4 Yellow Unit Squares4 Yellow Unit Squares4 Yellow Unit SquaresYellow Unit SquareYellow Unit Square[math]=[/math]Red RectangleRed RectangleRed Rectangle4 Yellow Unit SquaresYellow Unit Square

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