Algebraic Modeling

What term is represented by the algebra tiles?

• 6

• -6

• 6x

• -6x²

Which equation matches the picture above? ( circles = 1 and triangles = t)

• t = 3

• t + 4 = 7

• 1 + 4 = 7

• 4t + 1 = 7

Which equation matches this model?

• 7x + 3 = 23

• 2x + 4= 10

• 3x  - 8 = 3

• 4x + 3 =9

Write the equation for the model. (white square=1 rectangle=x red square = -1)

• 7=x+3

• 7=x+(-3)

• 7=-x+3

• -7=x-3

Which of the following equations best represents the model given? (squares =1 and rectangles =x)

• 4+3x=5

• 4-3=5

• -3x+4=5

• 4x-3=5

What would be the first step to solving the equation being modeled? (green=x red = -1 blue = 1)

• Add 4 red tiles or -4 to both sides

• Add 4 blue tiles or 4 to both sides

• Add 10 red tiles or -10 to both sides

• Add 10 blue tiles or 10 to both sides

Which equation below correctly represents the model pictured?

• 3x + 2 = 7

• 3 + x = 7

• 2x + 3 = 7

• 2 + x + 3 = 7

Which equation represents the model above.

• 3x + 4 = 13

• 4x + 3 = 13

• 3x - 4 = 13

• 4x - 3 = 13

• 4 + x = 9

• 4x + 1 = 9

• 4 + 1 + x = 9

• 4x - 1 = 9

Evaluate 2a + 4b 
if a = 10     and    b = 6

• 20

• 24

• 44

• 4