Final answer:
An expression that has three terms and simplifies to 4x - 7 is (2x - 3) + (2x - 4) + (0). Its coefficients are 2 and 2, which after simplification become 4, and its constants are -3 and -4, which combine to -7.
Step-by-step explanation:
To write an expression that simplifies to 4x - 7, we need to create an expression that contains three terms and can be combined through algebraic simplification. A possible expression that meets these criteria could be (2x - 3) + (2x - 4) + (0). When we simplify this, the two x-terms are combined to result in 4x, and the constants -3 and -4 can be combined to get -7.
The process of simplifying the expression would involve eliminating terms through addition:
- Combine the like terms (2x + 2x) to get 4x.
- Combine the constants (-3 - 4) to get -7.
- The term (0) does not affect the expression since adding zero does not change the value.
The coefficients in the original expression are 2 and 2, corresponding to the terms with x, and the constants are -3 and -4. After simplification, the single coefficient is 4 (of term 4x) and the constant is -7.
After performing the simplification, it is important to always check the answer to ensure that it is reasonable and aligns with the original requirements.