Which phrase represents the algebraic expression 5x - 9?

A.) The product of five times a number and nine

B.) the difference of nine times a number and five

C.) the sum of five times a number and five

D.) the difference of five times a number and nine

D

Difference implies subtraction, which eliminates options A and C

x represents any unknown number, so five times a number is the same as 5 * x, or 5x

Since order matters in subtraction (1-5 is not the same as 5-1), you need the the first number in the algebraic expression (5x) to come first in the phrase. B says "The difference of nine times a number and nine." You know this is wrong because 5x must come first. B = 9-5x

D says "The difference of five times a number and nine." This is correct.

Okay the answer to you question is D