Question

Translate the equation into a verbal sentence:

Option 1: "Three times the sum of y and 5 is equal to seven times y."
Option 2: "Three times the sum of y and 5 equals seven times y."
Option 3: "The product of 3 and the quantity y plus 5 is equal to 7 times y."
Option 4: "Three times the quantity y increased by 5 is equal to 7 times y."

Answer 1

Option 2, 'Three times the sum of y and 5 equals seven times y,' correctly phrases the mathematical expression and explains the concept of equality where equivalent operations must be applied to both sides to maintain balance.

Step-by-step explanation:

The correct verbal sentence that translates the equation is Option 2: "Three times the sum of y and 5 equals seven times y." This option correctly demonstrates the structure of the mathematical expression 3(y + 5) = 7y, where the 3 is multiplied by the entire sum of y and 5, resulting in an equality that states this product is the same as seven times y. Understand that in an equality, manipulating one side of the equation requires identical changes to the other side in order to maintain the balance of the equality. Also, the commutative property A+B=B+A indicates that the order of addition does not affect the sum, which is relevant when dealing with equations.