Write an algebraic expression for each of the following. Use the notation for products,quotients and powers introduced in this section.a The product of 7 and x<***dia***>b The product of x with itselfc The product of 6a and b d The product of 7a and 3ae The quotient of x divided by 3 f The quotient of p divided by q

Evaluate the expression  $_7P_3$7​P3​​ .$_7P_3=$7​P3​=​

Given 7p−q=2p+6, express p in terms of q.

Translate each into an algebraic expression:_           1.    Nine less than a certain number__          2.    Thirteen decreased by a number n__           3.    14 more than the product of 9 and t_            4.    Five times the product of d and e_            5.    Thrice the sum of x,y and z__           6.    50 decreased by the product of c and d_             7.    Six times the number x, increased by 10_             8.    The product of 8 and n, increased by the product of q and r            9.     X increased by 10__          10.   7 more than b__          11. Thrice the sum of the number f and 8__          12.   Twice x divided by the difference of x and 1__          13.   6 less than d__         14.  The product of p and 5__         15.  Y decreased by 12

Rewrite each expression using the algebraic way of representing division.a x ÷ 4 b x ÷ 5c x ÷ 7 d z ÷ 10<***dia***>e w ÷ z f q ÷ pg w ÷ x h x ÷ y

Write an expression for the sequence of operations described below.multiply the product of 4 and d by 7