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

Answer: (B)

$-4pq,0.7pq$

We know that, like algebraic terms are the terms who have the same variables but can have different constants.

For example: $2x$ and $-7x$

$2$ and $-7$ are the constants and $x$ is the variable.

If the variables of two terms are same then they are like terms irrespective of their constants.

Only option $b$ has same variables, $pq$. Hence they are like algebraic terms.

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