Modeling with Linear Equations

Solve the equation. (white is positive and the rectangle is the variable)

• x=10

• x=-4

• x=-10

• x=4

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 and solution represents the model?

• 4x = 7; x = 28

• 7 = x - 4; x = 11

• 7 = x + 4; x = 3

• x + 4 = 3; x = 7

An equation is modeled. What value of x makes the equation true?

• -3

• 1

• -1

• 3

An equation is modeled. What value of x makes the equation true?

• A) 2

• B)-2

• C) 1

• D) -1

The model represents an equation. What value of x makes the equation true?

• A) x = 1

• B) x = 3

• C) x = 10

• D) x = 2

The model represents an equation. What is the solution for this equation?

• A) x = 2

• B) x = 3

• C) x = 9

• D) x = 4

Solve the equation:
4p = 16

• p = 12

• p = -12

• p = -4

• p = 4

x + 12 = 20

• x = 32

• x = -32

• x = 8

• x = -8