Write an expression for each of the following and then expand it.a A number, x, has 3 added to it and the result is multiplied by 5.b A number, b, has 6 added to it and the result is doubled.c A number, z, has 4 subtracted from it and the result is multiplied by 3.d A number, y, is subtracted from 10 and the result is multiplied by 7

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

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

Write an expression for the sequence of operations described below.add y and z, then divide 6 by the resultDo not simplify any part of the expression.

Write an expression for each statement. Use x to represent the unknown number.a A number is multiplied by 7 and then 2 is added.b A number is divided by 3 and then 6 is subtracted.c 10 less than three-quarters of a numberd The sum of 13 and a third of a numbere 28 less than the product of 15 and a numberf 5 less than half of a number

Write the coefficient of x5in the expansion of: (a) (3 + x)6 (b) (2 − x)7 (c)