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How can the expression "seven more than twice the weight" be written mathematically?

  1. 2w - 7

  2. 7 + 2w

  3. 2(w + 7)

  4. 2w + 7

The correct answer is: 2w + 7

The phrase "seven more than twice the weight" translates into a mathematical expression by first identifying the components involved. The term "twice the weight" indicates that weight can be represented as 'w', and doubling that weight is expressed as '2w'. The phrase "seven more than" indicates that we take the initial expression, which is '2w', and add seven to it. Therefore, combining these components, the mathematical representation becomes '2w + 7'. This accurately reflects the relationship stated in the original expression, indicating that you start with double the weight and then add seven to that amount. Other options represent different calculations or combinations and do not align with the phrasing specified in the question. For instance, subtracting seven or altering the order of operations with parentheses changes the meaning intended by "seven more than twice the weight." Hence, '2w + 7' is the correct and precise representation.