Solving Equations from Models

The model represents the equation 2x + 4 = 10. What is the value of x?

• x = 3

• x = 2

• x = 6

• x = 10

The model represents the equation 2x + 5 = 13. What is the first step in finding the value of x?

• Subtract 5 rectangles from each side of the equation.

• Add 13 rectangles to each side of the model.

• Add 5 rectangles to each side of the model.

• Subtract 13 rectangles from each side of the equation.

Examine the model. What is the value of x in the equation this model represents?

• 4

• 6

• 8

• 10

The model represents the equation 2x + 4 = 6. What is the first step in finding the value of x?

• add 6 candies to each side of the model

• add 4 candies to each side of the model

• subtract 4 candies from each side of the model

• divide the candies equally among the 2 cans

• x = 4
• x = -4
• x = 36
• x = -36

The equation for the model is 3x - 5 = 7.  What is the value of x?

• x = 6

• x = 4

• x = 7

• x = 12

What equation is represented in this hanger diagram?

• 14 = 2x + 3

• 14 = 2x + 6

• 14 = 2x -3

• 14 = 2x - 6

Which of the following is correct?

• 2x + 9 = 15

• 2x + 15 = 9

• 3x + 9 = 15

• -3x + 9 = 15

The model represents the equation 2c + 1 = 11. What is the first step in finding c?

• subtract 1 counter from each side

• add 1 counter to each side

• subtract 2 counters from each side

• add 2 counters to each side

The model represents the equation 2x - 9 =5. What is the value of x?

• x = 14

• x = 7

• x = 4

• x = -4