I Write an algebraic expression for each of the following :
(a) If 1 metre cloth costs Rs x , then what is the cocst of 6 metre cloth ?
(b) If the cost of a notebook is Rs. X and the cost of a book is Rs. Y, then what is the cost of 5 notebooks and 2 books ?
(c ) The score of Ragini in Mathematics is 23 more than two-third of her score in English. If she scores ‘x’ marks is English, what is her score in Mathematics ?
(d) If the length of a side of a regular pentagon is ‘x’ cm, then what is the perimeter of the pentagon ?
(e) The sides of a square is taken as ‘b’. Find the perimeter and area of square in terms of ‘b’
(f) The sides of a regular decagon is denoted as ‘r’. Express the perimeter in terms of ‘r’ (Decagon is a regular polygon having 10 equal sides )
(g) The two equal sides of an isosceles triangle are taken as ‘y’cm and unequal side is taken as ‘x’cm. Find its perimeter in terms of x and y.
(h) Dice is a cube, it has six faces and all of them are identical squares. If the length of each edge of a cube is taken as ‘a’, find the formula for the total length of the edges of a cube. (Remember that a cube has 12 edges )
(i) The diameter of a circle joins two points on the circle and it passes through the centre of the circle. If ‘r’ is the radius of the circle, then express diameter of a circle in terms of its radius.
II Pick the solution from the values given in the bracket next to the equation . Show that the other values do not satisfy the equation .
(a) x + 7 = 3 ( 3, 4. -4, -7 )
(b) 3y – 2 = 16 ( 3, 6, 9, 2 )
III Write the statement for algebraic expressions as shown in the example :
Expression Statement
One example done for you :
1. 2z – 4 4 subtracted from the product of 2 and z
2. y + 8
3. 10y + 7
4. 25 – 2 r
5. z – ( x + y )
6. – 9 z
7. 10 a + 3
Answers
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Answer:
ANSWER
Given,
Cost of 1 notebook =Rs x
Cost of 1 book =Rs y
Thus,
Cost of 5 notebooks =5×(Rs x)=Rs 5x
Cost of 2 books =(Rs y)×2=Rs 2y
Hence, Total cost of 5 notebooks and 2 books =Rs (5x+2y)
Step-by-step explanation:
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