Combining Like Terms in Algebraic Expressions

What are like terms?

• Terms with different variables raised to the same exponent

• Terms with the same variable raised to different exponents

• Terms with the same variable raised to the same exponent

• Terms with different variables and different exponents

Why can't you combine x and x squared?

• Because they are both variables

• Because they have different exponents

• Because they have different coefficients

• Because they are both constants

What does W over seven represent?

• Seven times W

• W divided by seven

• Seven divided by W

• One-seventh of W

Can you combine 3.2 and n?

• Yes, because they are both constants

• Yes, because they are both numbers

• No, because they are both variables

• No, because one is a variable and the other is a constant

Which of the following are like terms?

• 79v and 4w squared

• 4w squared and 5w squared

• 3t and 5wt

• 8v and 9b

How do you combine 4x and 5x?

• By adding the exponents

• By subtracting the coefficients

• By adding the coefficients

• By multiplying the coefficients

What is the result of 6t - 4t?

• 10t

• 2

• 2t

• 10

Why can't you simplify 45x - 37y + 87?

• Because the variables are different

• Because there are no like terms

• Because the constants are different

• Because the coefficients are different

What is the perimeter of a triangle with sides x, 2x + 3, and 3x + 2?

• 5x + 5

• 6x + 6

• 5x + 6

• 6x + 5

How do you combine x, 3x, and 2x?

• By adding the exponents

• By subtracting the coefficients

• By adding the coefficients

• By multiplying the coefficients