Question

The expression 9x represents the number of miles Allison hiked, and 4x + 5 represents the number of miles that Adrian hiked in x days. Write an expression to show how many more miles Allison hiked than Adrian.

Question 7 options:

5x – 5

–5x + 5

5x + 5

13x + 5

Answer 1

Expression to show how many more miles Allison hiked than Adrian is:

5x-5

Explanation:

Number of miles Allison hiked = 9x

Number of miles that Adrian hiked = 4x+5

Miles Allison hiked more than Adrian

= 9x-(4x+5)

=9x-4x-5

=5x-5

Hence, expression to show how many more miles Allison hiked than Adrian is:

5x-5

Answer 2

For this case we have that Allison traveled 9x miles, while Adrian traveled 4x + 5 miles. The variable "x" represents the number of days.

We want to know how many miles of Allison toured Adrian, for this we subtract:
`9x- (4x + 5) =`

We take into account that:
`- * + = -`

`9x-4x-5 =\\5x-5`

ANswer:

`5x-5`