Question

Translate the given phrase into an algebraic expression and simplify if possible: the quotient of -6 and the sum of a and b.

A. -6 / (a + b)
B. -6 / a + b
C. -6a + b
D. a + b / -6

Answer 1

The algebraic expression that represents the phrase 'the quotient of -6 and the sum of a and b' is -6 / (a + b), which corresponds to option A.

Step-by-step explanation:

The phrase 'the quotient of -6 and the sum of a and b' can be translated into an algebraic expression by first identifying the operation involved. 'Quotient' indicates division, and 'the sum of a and b' tells us we are adding a and b together. Therefore, the algebraic expression for this phrase is -6 / (a + b). This means option A is correct. Simplification is not possible in this case, as we need specific values for a and b to proceed further.