Consider the expression $\dfrac{3}{2}x^2y - \dfrac{1}{2}xy^2 + 6x^2y^2$

(i) How many terms are there? What do you call such an expression?

(ii) List out the terms.

(iii) In the term $-\dfrac{1}{2}xy^2$, write down the numerical coefficient and the literal coefficient.

(iv) In the term $-\dfrac{1}{2}xy^2$, what is the coefficient of x?

Write an algebraic expression for each of the following:

(i) If 1 metre cloth costs ₹ x, then what is cost of 6 metre cloth?

(ii) If the cost of a notebook is ₹ x and the cost of a book is ₹ y, then what is the cost of 5 notebooks and 2 books?

(iii) The score of Ragini in Mathematics is 23 more than two-third of her score in English. If she scores x marks in English, what is her score in Mathematics?

(iv) If the length of a side of a regular pentagon is x cm, then what is the perimeter of the pentagon?

When x = 4 and y = 2, find the value of:

(i) x + y

(ii) x - y

(iii) x² + 2

(iv) x² - 2xy + y²

Solve the following linear equations:

(i) $2x - 1\dfrac{1}{2} = 4\dfrac{1}{2}$

(ii) 3(y - 1) = 2(y + 1)

(iii) n - 3 = 5n - 5

(iv) $\dfrac{1}{3}(7x - 1) = \dfrac{1}{4}$