Final answer:
Option D, 8 + ³/⁷x, is the expression that shows the quotient of two terms with a coefficient of 7, as it contains a division of the number 3 by the product of 7 and the variable x (7x).
Step-by-step explanation:
The question asks to identify which expression shows the quotient of two terms where one of the terms includes a coefficient of 7. A quotient is the result of division, so we are looking for an expression that explicitly shows division involving a term with a coefficient of 7. To find such an expression, we should look for the division symbol or a fraction representing division.
Among the given choices, option D, 8 + ³/⁷x, is the only expression that clearly shows a quotient. The term ³/⁷x includes a coefficient of 7 within the division, where the number 3 is being divided by the product of 7 and the variable x (7x).
To eliminate terms and simplify an expression, one should look for like terms that can be combined or canceled out. It's also essential to check the answer to ensure that the simplified expression is reasonable and follows the basic rules of algebra.