EXERCISE 12.1
1. Get the algebraic expressions in the following cases using varie.com
arithmetic operations.
(i) Subtraction of z from y.
(ii) One half of the sum of numbers and y.
(1) The number z multiplied by itself.
(iv) One-fourth of the product of numbers panda.
(v) Numbers x and y both squared and added.
(vi) Number 5 added to three times the product of numbers and
(vii) Product of numbers y and a subtracted from 10.
(vii) Sum of numbers a and b subtracted from their product.
2.0 Identify the terms and their factors in the following expressions
Show the terms and factors by tree diagrams.
(a) x-3
(b) 1 +*+
(c) y-
(d) 5xy + 7xy (e) - ab + 2b2 - 3
() Identify terms and factors in the expressions given below:
(a) - 4r + 5 (b) - 4x + 5y (c) 5y + 3y
(d) xy + 2x'y (e) pq +9
(1) 1.2 ab - 2.4b +354
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Step-by-step explanation:
(i) Subtraction of z from y.
Solution:-
= Y – z
(ii) One-half of the sum of numbers x and y.
Solution:-
= ½ (x + y)
= (x + y)/2
(iii) The number z multiplied by itself.
Solution:-
= z × z
= z2
(iv) One-fourth of the product of numbers p and q.
Solution:-
= ¼ (p × q)
= pq/4
(v) Numbers x and y both squared and added.
Solution:-
= x2 + y2
(vi) Number 5 added to three times the product of numbers m and n.
Solution:-
= 3mn + 5
(vii) Product of numbers y and z subtracted from 10.
= 10 – (y × z)
= 10 – yz
Solution:-
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