If ' x ' is your number, then the quotient is 2x/6.
The quotient of 6 and twice
2b
2z
3a-6x2
2x = 76 x = 38
What is the quotient of twice the number and three
x / (2y - 7)
2n
2b
2z
2n/6 - 9 or n/3 - 9
To say that 2 is less than twice a number and four means, algebraically, that 2 < 2x + 4. This simplifies to -2 < 2x or x > -1. This is not a quotient, however, so perhaps your question was not clearly worded.
(10)(2x)
The algebraic expression for three more than a number is: X + 3
As an algebraic expression it is: 2x-9
2x+3
2x+15
3a-6x2