Question

A sports company conducted a road test of a new model of a geared bike. The test rider cycled (3x - 2) miles on a flat road, (x2 - 5) miles uphill, and (2x + 7) miles downhill. Which simplified expression is equivalent to the total distance, in miles, for which the bike was tested?

x2 - x

x2 + 5x

x2 − x + 14

x2 + 5x + 14

help me!!!!!!

Answer 1

well the total distance is the sum of the flat, uphill and downhill so

\[D = 3x -2 + x^2 - 5 + 2x + 7\]

just collect the like terms for the answer.

Answer 2

that will be the 3x and 2x right

Answer 3

do i add them????

Answer 4

yes as well as -2 -5 + 7

Answer 5

yep add 3x + 2x =

Answer 6

3x+2x= 5

Answer 7

its 5x

Answer 8

sorry 5x

Answer 9

yep.... now what about the numbers

-2 -5 + 7 =

and don't forget x^2 is sitting on its own...

Answer 10

do i add them too??? and what do you mean x^2 is sitting on its own??????

Answer 11

well after 5x you have

\[x^2 + 5x + 7 -2 - 5 \]

you just need to simplify the last 3 numbers...

Answer 12

um how do i do that lol

Answer 13

well what is 7 - 2= ?

Answer 14

then you need to subtract 5 from the answer (7 - 2) - 5 =?

Answer 15

then the question is all done...

\[x^2 + 5x\]

Answer 16

x+5=5 right

Answer 17

7-2=5

Answer 18

so x+5=5????

Answer 19

Its B. :]