State whether a given pair of terms is of like or unlike terms.
(i) 1, 100   (ii) -7x, (5/2)x   (iii) -29x, -29y
(iv) 14xy, 42yx   (v) 4m²p, 4mp²   (vi) 12xz, 12 x²y²

Solution:

Let's define like and unlike terms before proceeding.

Like terms are those terms whose variables and their exponent power are the same. The coefficient of these variables can be different. Unlike terms are those terms whose variables and their exponents are different from each other. 

(i) 1, 100: like terms

(ii) -7x, (5/2)x : like terms

(iii) -29x, -29y: unlike terms as they have different variables.

(iv) 14xy, 42yx : like terms

(v) 4m²p, 4mp² : unlike terms since the power on the variables are different.

(vi) 12xz, 12 x²y² : unlike terms since the power on the variables are different.

☛ Check: NCERT Solutions for Class 7 Maths Chapter 12

Video Solution:

State whether a given pair of terms is of like or unlike terms. (i) 1, 100 (ii) -7x, (5/2)x (iii) -29x, -29y (iv) 14xy, 42yx (v) 4m²p, 4mp² (vi) 12xz, 12 x²y²

Maths NCERT Solutions Class 7 Chapter 12 Exercise 12.1 Question 6

Summary:

We have stated whether the given pair of terms is of like or unlike terms. (i) 1, 100: like terms (ii) -7x, (5/2)x : like terms (iii) -29x, -29y: unlike terms. (iv) 14xy, 42yx : like terms (v) 4m²p, 4mp² : unlike terms. (vi) 12xz, 12 x²y² : unlike terms.

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