Write an algebraic expression to represent each verbal expression.
1. four times the sum of a number and 3
2. 7 less than fifteen times a number
3. the difference of nine times a number and the quotient of 6 and the same number
4. the sum of 100 and four times a number
5. the product of 3 and the sum of 11 and a number
6. four times the square of a number increased by five times the same number
7. 23 more than the product of 7 and a number