Question

1. the sum of a number (n) and 14 is 72.

which equation shows this relationship?

• 14 + n = 72
• 72n = 14
• 14 - n = 72
• 72 + n = 14

Explanation:

Translate the verbal statement into algebraic terms

$$ \text{"The sum of a number } (n) \text{ and } 14\text{"} \implies n + 14 \text{ or } 14 + n $$

Translate the relation verb into an algebraic operator

$$ \text{"is } 72\text{"} \implies = 72 $$

Combine terms to form the final equation

$$ 14 + n = 72 $$

Answer:

• (A) \(14 + n = 72\) (Correct answer)
• (B) \(72n = 14\)
• (C) \(14 - n = 72\)
• (D) \(72 + n = 14\)