The algebraic expression 3x + 7 – 10 can be simplified and interpreted in various ways. First, let’s combine the constant terms:
1. Simplifying the expression:
- Start with: 3x + 7 – 10
- Combine the constants: 7 – 10 = -3
- This simplifies to: 3x – 3
This expression can represent different phrases depending on the context:
- “Three times a number x minus three” – This describes a scenario where you multiply an unknown variable (x) by three and then subtract three from the result.
- “Three times x reduced by three” – Similarly, this phrase emphasizes the idea of reducing the product of three times x by three.
In a mathematical context, you might encounter this expression in problems involving equations, functions, or when solving for the variable x. The transformation of the expression helps identify its equivalent forms and allows for easier manipulation in various algebraic situations.
In summary, the simplified form 3x – 3 can be phrased as “three times a number x minus three,” which emphasizes the key operations involved in the expression while maintaining clarity and engagement for the reader.