Question

11. Denote the statements as algebraic expressions:
(a) Thrice the product of 2 numbers decreased by 5.
(b) Double a number added to half of another number.​

Answer 1

Answer:

a)3xy-5

b)2x+z/2

Explanation:

(a) Let the two numbers by x and y

Their product = x × y = xy

Then it is saying thrice the product of two numbers means 3 times the product of x and y or 3 × xy = 3xy

now this 3xy is decreased by 5 which is nothing but 3x - 5.

So our algebraic expression is 3x - 5.

(b) Let the number be x.

It is saying double a number which is nothing but 2x.

Now, 2x added to half of another number.

So let another no. be z.

so half of another number z = z/2

So , it is 2x + z/2

Hope that helps you.

Answer 2

Answer:

11. a) 3(x × y) - 5

b) 2x + 1/2 y