Question 4

X + 4 = 12

The expression that represents four more than a number, equating to 12, is X + 4 = 12. This formulation directly captures the relationship described in the question.

A) X + 4 = 12

This option is correct because it accurately translates the phrase "four more than a number" into a mathematical equation. It shows that when you add 4 to the variable X, the result equals 12, which aligns perfectly with the question's requirement.

B) X + 12 = 4

This option is incorrect because it suggests that adding 12 to a number results in 4, which contradicts the initial statement. The mathematical relationship described here does not reflect the condition of having four more than a number.

C) X + 8 = 12

This option is also incorrect as it implies that adding 8 to a number equals 12. This does not represent the phrase "four more than a number," which specifically involves adding 4, not 8.

D) 4X = 12

This option is incorrect because it indicates that four times a number equals 12. This expression does not relate to the concept of adding four to a number, thus failing to represent the condition given in the question.

Conclusion

The expression X + 4 = 12 is definitive as it directly reflects the requirement of four more than a number equating to 12. All other options misinterpret the original statement either by changing the value to be added or altering the relationship altogether, thereby failing to satisfy the condition presented in the question.