Understanding Like and Unlike Terms

What are the two main characteristics of like terms?

• Same variable and different power

• Different variable and same power

• Same variable and same power

• Different variable and different power

Which of the following pairs are like terms?

• 3x^2 and 3x^3

• 2a and 2b

• 4y and 4y

• 5x and 5y

What makes terms unlike?

• Different variable and same power

• Same variable and different power

• Different variable or different power

• Same variable and same power

Which of the following are unlike terms?

• 6x and 6x^2

• 7y^2 and 7y^2

• 8z and 8z

• 9a^3 and 9a^3

In the expression 6x and 3x, why are these terms considered like terms?

• They have the same variable but different powers

• They have the same variable and same power

• They have different variables but same power

• They have different variables and different powers

Why are 7y^2 and 3y^3 considered unlike terms?

• They have the same variable but different powers

• They have different variables but same power

• They have the same variable and same power

• They have different variables and different powers

In the expression 7x^2 + x^2, which terms are like terms?

• 7x^2 and x^2

• 7x^2 and 3y

• 7x^2 and 9y

• x^2 and 9y

Which of the following expressions contains only like terms?

• 4y + 4y

• 5a^2 + 5b^2

• 3x + 3x^2

• 2z^3 + 2z^2

In the expression 9y - y + 3y, what is the common variable?

• x

• a

• y

• z

What is the power of the variable in the term 3y?

• 2

• 1

• 0

• 3