Which of the following expressions could be used to represent "three less than half a number"?



To represent "three less than half a number," let's break it down step by step:

1. "Half a number" translates to \( \frac{x}{2} \), where \( x \) represents the number.
2. "Three less than" means subtracting 3 from this value.

Thus, the expression becomes:
\[
\frac{x}{2} - 3
\]

### Example Answer:
The correct expression is \( \frac{x}{2} - 3 \).

Would you like a deeper explanation of how this is derived or examples of its application?  

Here are some related questions to deepen your understanding:  
1. How would the expression change if it said "three more than half a number"?  
2. What if the expression said "three less than a third of a number"?  
3. Can you rewrite \( \frac{x}{2} - 3 \) in an equivalent form using decimals?  
4. How can this expression be used in solving word problems?  
5. What is the result when \( x = 10 \) in \( \frac{x}{2} - 3 \)?

**Tip**: Always work step-by-step, translating each part of a phrase into a mathematical expression.

Which of the following expressions could be used to represent 'three less than half a number'?

Understand how to express 'three less than half a number' as a mathematical expression. This problem covers key algebraic concepts, including writing expressions for fractions and subtraction. Suitable for Grades 6-8 learners looking to strengthen their algebra skills.

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