Question

9. Write the algebraic expressions for the following situations.
1) Rita's age is 4 less than 4 times her daughter's age x.
(ii) The expression for a 3-digit number, when the hundred's digit is a, the ten's digit b and
the unit' s digit is c.
(iii) The perimeter of an isosceles triangle whose equal sides are of length p cm each and unequal sides are of length p cm each and unequal side is q cm.
(iv) The speed of a bus is z m/s. Write its speed in km/h.
(v) A pair of shoes cost rs.x. The cost of a dress is rs. 200 more than 5 times the cost of the shoes​

Answer 1

Answer:

1) x-4 = 4×(x-4)

ii) (a×100) +(b×10) +(c×1)

iii) didn't know

iv) z×1000

v) 5×x =5× x +200

Answer 2

i) daughters age = x

4 times daughter's age = 4x

4 less than that = 4x - 4

Rita's age = 4x - 4

ii) 100×a + 10×b + 1×c

= 100a + 10b + c

iii) equal sides are of length = p cm each

unequal side= q cm.

perimeter = sum of the sides

= p + p + q

= 2p + q

iv) to convert from m/s to km/h multiply with 18/5

= z × 18/5

= 18z/5

v) cost of shoe = x

5 times cost if shoe = 5x

200 more than that

= 5x + 200