No, 5x and 4xy are not like terms and the explanation for the same is added below:

Are 5x and 4xy Like Terms?

Answer:

To get an explanation of why 5x and 4xy are not like terms but rather unlike terms, we will look into definitions of like and unlike terms.

• Like terms: Terms that have having same variable or terms having variables with the same exponent power for them are called Like terms.

For example: 6x and 16x and 5xy² and 8xy², here, 6x and 16x are called Like Terms because they have the same coefficient of variables.

• Unlike terms: Terms that have different variables or terms have variables with different exponent powers for them are called Unlike terms.

For Example: 7z and 16x and 7x² and 7x³, here, 7z and 16x are called Unlike Terms because they have different coefficients of z and x.

Now the answer to the above question is NO, 5x and 4xy are not like terms as 5x and 4xy both have different variables with different coefficients of x and y.

Similar Questions

Question 1: Examples of like terms?

Answer: 

Terms that are having same variable or terms having variables with the same exponent power for them are called Like terms.

Example : 4x, 6x, 9x, and -3x

Here x is the common variable in all the above terms so these are like terms.

Question 2: Example of unlike terms?

Answer: 

Terms that are having different variables or terms having variables with different exponent power for them are called Unlike terms.

Example : 2x + 19y , 4x – 5x² , 5x + 6y 

Question 3: Identity like terms and unlike terms from the following:

8zy²x, 2y²z, 7xy²z, 3xz²y², 4x²yz

Answer:

Like Terms: 8zy²x,7xy²z

Now Unlike terms = 2y²z, 3xz²y², 4x²yz 

Question 4: What type of algebraic expression is 3x + 5?

Answer:

An algebraic expression which is having two terms and unlike are termed as a binomial expression.

Here 3x + 5 has two monomial 3x and 5 and hence it is a binomial and every binomial is a type of polynomial.  

Therefore, 3x + 5 is a binomial.