Question

translate the given phrase into algebraic expression

1. 7 less than the sum of 3 and x divided by 5
2. one third of difference between 6 and p is added to 8
3. Eight ninth more than sum of one half of t
4. Quotient of 4 5 is added to the product of 6 z
5. Three half of r less thanfour fifth
6. 8 more than sum of three fourth og n and two

Answer 1

1) sum of 3 and x = 3 + x
7 less than the sum of 3 and x = 3 + x - 7
So 7 less than sum of 3 and x divided by 5 = $\frac{3+x-7}{5}$
2) difference between p and 6 = p - 6
then one-third of difference between p and 6 = $\frac{1}{3}\left(p-6\right)$
So one-third of difference between p and 6 added to 8 = $\frac{1}{3}\left(p-6\right)$ + 8
4) quotient of 4 and 5 = $\frac{4}{5}$
Product of 6 and z = 6z
So the quotient of 4 and 5 added to the product of 6 and z = $\frac{4}{5}+6z$