IDENTIFY LIKE AND UNLIKE TERMS

State whether a given pair of terms is of like or unlike terms.

Problem 1 :

-7x, 5/2x

Solution :

-7x, 5/2x are having same variables.

So, -7x, 5/2x are like terms.

Problem 2 :

1, 100

Solution :

1, 100 are constants.

These are like terms

Problem 3 :

-29x, -29y

Solution :

-29x, -29y are having different variables.

So, they are unlike terms.

Problem 4 :

14xy, 42yx

Solution :

14xy, 42yx are having same variables.

So, they are like terms.

Problem 5 :

4m²p, 4mp²

Solution :

4m²p, 4mp² are not same variables.

So, they are unlike terms.

Problem 6 :

12xz, 12x²z²

Solution :

12xz, 12x²z² are not having different variables.

So, they are unlike terms.

Problem 7 :

Identify like terms in the following :

-xy², -4yx², 8x², 2xy², 7y, -11x², -100x, -11yx, 20x²y, -6x², y, 2xy, 3x

Solution :

The terms which are having xy² :

-xy² and 2xy²

The terms which are having x²y :

-4yx², 20x²y

The terms which are having x² :

8x²,  -11x²,- 6x²

The terms which are having xy :

-11yx, 2xy

The terms which are having x :

3x and -100x

The terms which are having y :

7y and y

Problem 8 :

10pq, 7p, 8q, -p²q², -7qp, -100q, -23, 12q²p², -5p², 41, 2405p, 78qp, 13p²q, qp², 701p²

Solution :

The terms which are having pq :

10pq, -7qp, 78qp

The terms which are having p :

7p, 2405p

The terms which are having q :

8q, -100q

The terms which are having p²q² :

-p²q²,12q²p²

Terms don't have any variable :

-23, 41

The terms which are having p²q :

13p²q, qp²

The terms which are having p² :

-5p², 701p²