Solve Equations with Model

What equation is represented in this hanger diagram?

• 14 = 2x + 3

• 14 = 2x + 6

• 14 = 2x -3

• 14 = 2x - 6

What equation is represented in this hanger diagram?

• 3y -200 = 3000

• 3y + 200 = 3000

• 3(y + 200) = 3000

• 200 (y + 3) = 3000

Solve for "x" in this tape diagram

• 9.5

• 9

• 4.5

• 4

Select the situation that could be modeled by: 120 + 25x = 45x.

• John bought a car radio for $120 and speakers for $25 each. Joe bought a radio for $45. They each paid the same. How much did they spend?

• George charges a flat fee of $120 to mow a lawn plus $25 an hour. Greg charges $45 a hour to mow a lawn. After how many hours do they make the same amount?

• Lisa pays $120 for each purse she buys plus an additional $25 to have them personalized. Lauren pays $45 for each purse she buys. How many purses must they buy for the amount they spent to be the same?

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

• -2x - 4= 10

• 2x - 4 = 10

• -2x -4= -10

• 2x + 4 = 10

Which of these equations could be represented by this model?

• 3x = 9

• x + 3 = 9

• x = 12

• 2x + 3 = 10

Green boxes are equal to 1 and red boxes are equal to -1. Solve for x.

• 12 = 3x + 6

• 12 = 3x - 6

• -12 = 3x -6

• 12 = -3x -6

What is the equation and the solution for the given model?

• 3x-4=5

• 3-4x=5

• 3-4x=5

• 3x-4=5

The model represents the equation _______________.

*** Do not include spaces in your equation.***

Greens are positive and reds are negative. Solve for x.

• x + 9 = -8

• -x + 9 = -8

• x - 9 = -8

• x + 9 = 8