Understanding Like and Unlike Terms with Exponents

What is a key characteristic of like terms?

• They can be added to unlike terms.

• They have different coefficients.

• They have the same variable and exponent.

• They have different variables.

Why can't unlike terms be added or subtracted?

• They do not share the same variable and exponent.

• They have different coefficients.

• They have the same variable.

• They are always negative.

In the expression 2x + 3y + 3x, which terms are like terms?

• All terms are like terms

• 3y and 3x

• 2x and 3y

• 2x and 3x

What is the result of adding 2x and 3x?

• 2x

• 3x

• 5x

• 6x

In the expression 4x - 3y + 2x - x + y, what is the result of combining the x terms?

• 5x

• 6x

• 7x

• 4x

What is the result of combining the y terms in the expression 4x - 3y + 2x - x + y?

• -2y

• -3y

• y

• 0

In the expression 4xy - 2y^2 + y^2 - 5x + x, which terms are like terms?

• -2y^2 and y^2

• Both b and c

• -5x and x

• 4xy and -2y^2

What is the simplified form of -2y^2 + y^2?

• 0

• 2y^2

• -y^2

• y^2

What is the result of combining -5x and x?

• -6x

• -4x

• 4x

• 5x

What is the final simplified expression of 4xy - 2y^2 + y^2 - 5x + x?

• 4xy - y^2 - 4x

• 4xy + y^2 - 4x

• 4xy - 2y^2 + 4x

• 4xy - y^2 + 4x