Final answer:
Algebraic expressions for the provided scenarios are $106.25/x for the cost of each ticket, $3.67g for the total cost of g gallons of gas, and 3x - 5 for five less than three times a number.
Step-by-step explanation:
Writing algebraic expressions requires understanding variables, constants, and mathematical operations. Here are the expressions for the given scenarios:
The cost of each ticket, if x tickets cost $106.25, is $106.25/x.
The cost of g gallons of gas, if each gallon costs $3.67, is $3.67g.
Five less than three times a number is given by the expression 3x - 5 or, for a different scenario, by 5 - 3x, depending on the context of the problem.