College

Write the phrase "six times the difference of a number and nine" algebraically.

A. [tex]6x - 9[/tex]

B. [tex]6 - x - 9[/tex]

C. [tex]6 + x - 9[/tex]

D. [tex]6(x - 9)[/tex]

Answer :

Let the number be represented by [tex]$x$[/tex]. The phrase "the difference of a number and nine" means we subtract [tex]$9$[/tex] from [tex]$x$[/tex], which gives the expression

[tex]$$
x - 9.
$$[/tex]

The phrase "six times the difference" tells us to multiply the entire difference by [tex]$6$[/tex], resulting in

[tex]$$
6(x - 9).
$$[/tex]

Thus, the algebraic expression for "six times the difference of a number and nine" is

[tex]$$
\boxed{6(x-9)}.
$$[/tex]

This corresponds to option 4.

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