Solving Two-Step Equations with Algebra Tiles

This video tutorial demonstrates how to use algebra tiles to solve two-step equations, specifically focusing on the equation -2x - 1 = 5. It begins with an introduction to algebra tiles and their representations, including variables and zero pairs. The tutorial then guides viewers through setting up the equation with tiles, solving it by isolating the variable, and finally checking the solution for accuracy. The process emphasizes the importance of maintaining balance in equations and using zero pairs effectively.

What does a green rectangle represent in algebra tiles?

• A positive variable

• A negative variable

• A unit or positive one

• A zero pair

What is formed when a positive unit and a negative unit are combined?

• A zero pair

• A positive variable

• A negative two

• A positive two

What must be done to both sides of the equation when modifying one side?

• Only modify the left side

• Only modify the right side

• Perform the same operation on both sides

• Ignore changes to the other side

How can a zero pair be created to remove a negative unit?

• No action needed

• Remove a positive unit

• Add a positive unit

• Add a negative unit

What does each negative variable equate to after splitting the right side into two equal groups?

• Three units

• Two units

• One unit

• Four units

What algebraic operation is similar to flipping every tile on the mat?

• Multiplying by a negative

• Dividing by a negative

• Subtracting variables

• Adding variables

What is the final value of x after solving the equation?

• Positive three

• Negative three

• Zero

• Positive one

How do you verify the solution using algebra tiles?

• Guess and check method

• Solve a different equation

• Compare with another equation

• Substitute the solution back into the original equation

What happens to the equation when negative x is substituted with positive 3?

• The equation becomes undefined

• The equation remains balanced

• The equation becomes unbalanced

• The equation simplifies to zero

What proves that the solution x = -3 is correct?

• The equation balances with x = -3

• The equation does not balance

• The equation only works with positive variables

• The equation simplifies to a non-zero value