Question

Which of the following are like algebraic terms? $-4pq,5x{y}^2,6ab,0.7pq,9abc,3xy,-x^{2}yz$.

• A. $5x^{2}y,3xy,6ab,-x^{2}yz$
• B. $-4pq,0.7pq$
• C. $6ab,9abc$
• D. $5x{y}^2,3xy$

Answer 1

The correct option is B $-4pq,0.7pq$

A term be a number, a variable, or a constant multiplied by a variable or variables. Each term in an algebraic expression is separated by a $+$ sign or $-$ sign. When a term is made up of a constant multiplied by a variable or variables are called algebraic term.

Like terms have same variables raised to the same power.

In question, the terms $-4pq,0.7pq$ contains same variable which are raised to same power.

Hence, $-4pq,0.7pq$ are like terms.