To write the algebraic expression for the statement:

"Half of a certain number is three more than the number"

Let the certain number be represented by $x$.

• Half of the number: $\frac{x}{2}$
• Three more than the number: $x + 3$

The equation that represents this statement is:

$\frac{x}{2} = x + 3$

This expresses that half of the number is equal to three more than the number.

Would you like me to solve this equation or explain further?

Here are five related questions to expand on this concept:

1. How do we solve the equation $\frac{x}{2} = x + 3$?
2. What happens if the number is doubled instead of halved in a similar problem?
3. How can you set up an equation if the number is decreased by a certain amount?
4. What would the equation look like if we said "half of a number is 5 less than the number"?
5. How do you interpret verbal expressions in algebraic form?

Tip: When translating a word problem into an algebraic expression, identify key words such as "half," "more," "less," "is," and "than" to set up your equation properly.