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# 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.

(v) 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.

**Solution:**

(i) Subtraction of z from y.

y - z

(ii) One-half of the sum of numbers x and y.

(1/2) (x + y)

(ii) The number z multiplied by itself

z × z = z^{2}

(iii) One-fourth of the product of numbers p and q.

(1/4) pq

(iv) Numbers x and y both squared and added

( x × x) + ( y × y) = x^{2} + y^{2}

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

5 + 3(m × n) = 5 + 3mn

(vi) Product of numbers y and z subtracted from 10.

10 - ( y × z ) = 10 - yz

(vii) Sum of numbers a and b subtracted from their product.

(a × b) - (a + b) = ab - (a + b)

**☛ Check: **NCERT Solutions for Class 7 Maths Chapter 12

**Video Solution:**

## 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. (v) 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

Maths NCERT Solutions Class 7 Chapter 12 Exercise 12.1 Question 1

**Summary:**

The algebraic expressions in the following cases using variables, constants, and arithmetic operations:

(i) Subtraction of z from y = y - z (ii) One half of the sum of numbers x and y = (1/2) (x+y) (iii) The number z multiplied by itself = z × z (iv) One-fourth of the product of numbers p and q = 1/4 (pq) (v) Numbers x and y both squared and added = x^{2} + y^{2 }(vi) Number 5 added to three times the product of number m and n = 3mn + 5 (vii) Product of numbers y and z subtracted from 10 = 10 - yz (viii) Sum of numbers a and b subtracted from their product = ab - (a + b)

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