Answer: The expression "The sum of twice a number and -1 added to the sum of five times a number and -10" can be written as:
2x - 1 + 5x - 10
Simplifying this expression, we can combine like terms:
7x - 11
So the algebraic expression is 7x - 11.
The expression "Triple a number, minus the sum of the number and three" can be written as:
3x - (x + 3)
Simplifying this expression, we can distribute the negative sign:
3x - x - 3
Then we can combine like terms:
2x - 3
So the algebraic expression is 2x - 3.
Explanation: