8. Get the algebraic expressions in the following cases using variables, constants and
arithmetic operations (1) One-fourth of the product of numbers p and q
a) pg/4 b) (p+a)/4
c) p/4
d) q/4
Answers
Answer:
Solution (i): y\ -\ zy − z
Solution (ii): \frac{1}{2}\left(x+y\right)\ or\ \frac{x\ +\ y}{2}
2
1
(x+y) or
2
x + y
Solution (iii): z\times z\ =\ z^2z×z = z
2
Solution (iv): \frac{1}{4}pq\ or\ \frac{pq}{4}
4
1
pq or
4
pq
Solution (v): ^{x^2\ +\ y^2}
x
2
+ y
2
Solution (vi): 3mn\ +\ 53mn + 5
Solution (vii): 10\ -\ yz10 − yz
Solution (viii) ab\ -\ \left(a+b\right)ab − (a+b)
Answer:
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): y\ -\ zy − z
Solution (ii): \frac{1}{2}\left(x+y\right)\ or\ \frac{x\ +\ y}{2}
2
1
(x+y) or
2
x + y
Solution (iii): z\times z\ =\ z^2z×z = z
2
Solution (iv): \frac{1}{4}pq\ or\ \frac{pq}{4}
4
1
pq or
4
pq
Solution (v): ^{x^2\ +\ y^2}
x
2
+ y
2
Solution (vi): 3mn\ +\ 53mn + 5
Solution (vii): 10\ -\ yz10 − yz
Solution (viii) ab\ -\ \left(a+b\right)ab − (a+b)