Solving Equations with Integer Tiles

The video tutorial demonstrates how to model and solve the equation 3x - 1 = 5. It begins by representing the equation using integer chips and negative tiles. The process involves isolating the variable x by removing integer tiles and using zero pairs to maintain balance. Finally, the tutorial shows how to split the variables into equal groups to find that x equals 2.

What is the initial equation we are trying to solve?

• x + 5 = 10

• 3x - 1 = 5

• 4x - 2 = 8

• 2x + 3 = 7

What is the first step in solving the equation 3x - 1 = 5?

• Add 1 to both sides

• Divide both sides by 3

• Subtract 1 from both sides

• Multiply both sides by 3

What is the purpose of using integer chips in the equation?

• To simplify the equation

• To add more variables

• To visually represent the equation

• To make the equation more complex

How do we represent -1 in the equation using tiles?

• Using a positive tile

• Using a zero pair

• Using a fraction tile

• Using a negative tile

What is the purpose of adding a zero pair in the equation?

• To change the equation

• To increase the value of x

• To remove a negative tile

• To add more positive tiles

What does the equation become after removing the negative tile?

• 3x = 6

• 3x = 5

• x = 2

• x = 3

Why do we need to remove integer tiles from the equation?

• To make the equation more complex

• To isolate the variable x

• To simplify the equation

• To add more variables

What does adding a zero pair help achieve in the equation?

• It solves the equation

• It balances the equation

• It isolates the variable

• It changes the equation

What is the next step after removing the negative tile?

• Multiply both sides by 3

• Add more positive tiles

• Divide both sides by 2

• Split the variables into equal groups

How many groups do we split the variables into to solve for x?

• 3 groups

• 5 groups

• 4 groups

• 2 groups