The expression representing "the product of \(a\) and 3 decreased by 8" can be written as:

\[
3a - 8
\]

This expression indicates that you first multiply \(a\) by 3 and then subtract 8 from the result.

Would you like more details or have any questions?

Here are some related questions:

1. What happens if we increase the product of \(a\) and 3 by 8 instead?
2. How does the expression change if the product of \(a\) and 3 is increased by 10?
3. What is the result if \(a = 5\) in the expression \(3a - 8\)?
4. How would you solve \(3a - 8 = 0\) for \(a\)?
5. How does this expression relate to linear equations?
6. Can you expand the expression if it was written as \((3a - 8)(b)\)?
7. What if the expression was squared, like \((3a - 8)^2\)?
8. How does the expression change if \(a\) is a negative number?

**Tip:** Always check the order of operations (PEMDAS) when working with algebraic expressions to avoid errors.

Explore the algebraic expression 3a - 8 and learn how to interpret and solve it step-by-step. This problem covers basic algebra concepts including linear equations and expression formatting. Suitable for students in Grades 6-8.

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