1. Get the algebraic expressions in the following cases using variables, constants and
arithmetic operations.
(i) Subtraction of z from y.
(ii)One-half of the sum of numbers x and y.
(iii) The number z multiplied by itself.
(iv) One-fourth of the product of numbers p and q.
Numbers x and y both squared and added.
(vi) Number 5 added to three times the product of numbers m and n.
(vii) Product of numbers y and z subtracted from 10.
viii) Sum of numbers a and b subtracted from their product.
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Answer:
(i) y-z
(ii) 1/2x(x+y) = (x+y)/2
(iii) z*z = z²
(iv) 1/4(p*q) = (p*q)/4
(v) (x)²+(y)² = x² + y²
(vi) 5 + 3(m*n) = 5+3mn
(vii) 10 - (y * z) = 10 - yz
(viii) (a * b) - (a + b) = (ab) - (a + b)
Step-by-step explanation:
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