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What mathematical expression represents ten more than twice a number?

  1. 2n + 10

  2. n + 10

  3. 10n + 2

  4. 2n - 10

The correct answer is: 2n + 10

The expression that correctly represents ten more than twice a number is 2n + 10. To break it down, let's consider what "twice a number" means. If we designate the number as \( n \), then "twice a number" is expressed mathematically as \( 2n \). The phrase "ten more than" indicates that we need to add 10 to whatever value we get from the first part. Therefore, we take the value \( 2n \) and add 10 to it, resulting in \( 2n + 10 \). This captures both components of the phrase precisely: it starts with doubling the number and then adding ten to that result. This formulation aligns perfectly with the given statement, ensuring an accurate representation of the mathematical situation at hand.