Mathematics
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?
Algebra Basics
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Answer
(i) Cost of 1 metre cloth = ₹ x
∴ Cost of 6 metre cloth = ₹ (6 × x)
∴ Cost of 6 metre cloth = ₹ 6x
(ii) Cost of 1 notebook = ₹ x
Cost of 5 notebooks = ₹ 5x
Cost of 1 book = ₹ y
Cost of 2 books = ₹ 2y
∴ Total cost of 5 notebooks and 2 books = ₹ (5x + 2y)
∴ The cost of 5 notebooks and 2 books = ₹ (5x + 2y)
(iii) Ragini's score in English = x marks
Two-third of her score in English =
Score in Mathematics = 23 more than two-third of her score in English
∴ Ragini's score in Mathematics = marks
(iv) Length of one side of the regular pentagon = x cm
A regular pentagon has 5 equal sides.
Perimeter of the pentagon = 5 × length of one side
= 5 × x
∴ Perimeter of the regular pentagon = 5x cm
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