WRITE AN PHRASE AS AN ALGEBRAIC EXPRESSION

Get the algebraic expressions in the following cases using variables, constants and arithmetic operations.

Problem 1 :

Subtraction of z from y.

Solution :

y - z

Problem 2 :

One-half of the sum of numbers x and y.

Solution :

= 1/2 of (x + y)

= (1/2)(x + y)

Problem 3 :

The number z multiplied by itself.

Solution :

= z ⋅ z

= z²

Problem 4 :

One-fourth of the product of numbers p and q.

Solution :

= (1/4) of p and q

= (1/4) (pq)

Problem 5 :

Numbers x and y both squared and added.

Solution :

Square of both,

= x² + y²

Problem 6 :

Number 5 added to three times the product of numbers m and n.

Solution :

= 5 + 3mn

Problem 7 :

Product of numbers y and z subtracted from 10.

Solution :

Product of y and z = yz

Subtracted from 10 = 10 - yz

So, the required algebraic expression is 10 - yz.

Problem 8 :

Sum of numbers a and b subtracted from their product.

Solution :

Sum of numbers a and b = a + b

their product = ab

= ab - (a + b)

= ab - a - b

So, the required algebraic expression is ab - a - b.