Modeling Equations with Variables on Both Sides

The video tutorial introduces the use of algebra tiles to model and solve equations with variables on both sides. It begins with a recap of algebra tiles, explaining positive and negative tiles and zero pairs. The instructor demonstrates how to model equations using algebra tiles, showing step-by-step algebraic simplification and solving. The tutorial concludes with verifying the solution and encouraging students to apply the learned techniques in subsequent exercises.

What new concept is being introduced in this lesson?

• Solving equations with variables on both sides

• Using fractions in equations

• Solving quadratic equations

• Graphing linear equations

What color represents a positive x in algebra tiles?

• Blue

• Red

• Green

• Yellow

What is a zero pair in algebra tiles?

• A pair of positive tiles

• A positive and a negative tile together

• A pair of negative tiles

• Two positive x tiles

How many positive x tiles are needed to model 3x + 3?

• 3

• 2

• 1

• 4

What should be done to both sides of the equation when isolating variables?

• Subtract the same number of tiles

• Multiply by the same number

• Add the same number of tiles

• Divide by the same number

What is the result of 3x - 2x?

• 0x

• 3x

• 2x

• 1x

What is the next step after isolating the variable x?

• Add positive tiles to both sides

• Add negative tiles to both sides

• Divide both sides by 2

• Multiply both sides by 2

What is the value of x in the equation x + 3 = -3?

• 0

• -3

• -6

• 3

What is the purpose of creating zero pairs?

• To simplify the equation

• To eliminate constants

• To add more variables

• To balance the equation

What should you do if you have any questions about the lesson?

• Guess the answer

• Skip the question

• Ask a friend

• Send a message to the teacher