Let's go through each of these descriptions and write the corresponding algebraic expressions:

1. 5 less than the product of x and y:

   • The product of x and y is represented as $x \times y$ or $xy$.
   • "5 less than" means subtracting 5 from the product.
   • Algebraic expression: $xy - 5$

2. 3 more than the quotient of y and 5:

   • The quotient of y and 5 is represented as $\frac{y}{5}$.
   • "3 more than" means adding 3 to the quotient.
   • Algebraic expression: $\frac{y}{5} + 3$

3. Three-fifths the number m more than y:

   • "Three-fifths" of m is represented as $\frac{3}{5}m$.
   • "More than y" means adding this to y.
   • Algebraic expression: $y + \frac{3}{5}m$

Let me know if you need any further clarification or help with another question!

Here are 5 additional related questions you can explore:

1. How do you solve an equation with multiple terms like these expressions?
2. What is the significance of the order of operations when working with algebraic expressions?
3. How would you simplify expressions involving fractions, like in the third example?
4. How can you use algebraic expressions to solve word problems?
5. What are the key differences between expressions involving products and sums?

Tip: Always break down word problems into simpler components to translate them into algebraic expressions!