Question

Which phrase represents the algebraic expression 3p+6/7p-9?

A: the sum of six times a number and three, multiplied by the difference of nine times the number and seven
B: the sum of three times a number and six, multiplied by the difference of seven times the number and nine
C: the sum of six times a number and three, divided by the difference of nine times the number and seven
D: the sum of three times a number and six, divided by the difference of seven times the number and nine

here is a photo to clarify.

Answer 1

D; "the sum of three times a number and six, divided by the difference of seven times the number and nine."

Explanation:

"the sum of three times a number and six.."

the sum means addition, and it says that it is adding of 3 times a number plus 6. That 'number' is represented as 'p' since we don't know it.

"...divided by the difference of seven times the number and nine."

Since it said divided, we know that there is a denominator (something under the fraction line). On top of the fraction like is 3p + 6, this is called the numerator. That something under the fraction line, is seven times a number which is represented as 'p'. This is 7p is subtracted by 9.