Question

Two groups of cyclers, the Hawks and the Eagles, cycled on two different routes from their camp to a cave. The Hawks cycled through Bird Point to reach the cave. The Eagles cycled directly to the cave. The figure shows the distances they cycled.

Answer 1

Which simplified expression can be used to find the difference in the number of miles cycled by the two groups?

5x + 3

5x + 7

5x + 5

5x + 9

Answer 2

@MATTW20

Answer 3

sorry, not sure on this one

Answer 4

its ok :)

Answer 5

@AnimalAin

Answer 6

;/ .....

Answer 7

@phi @ZeHanz

Answer 8

thanks ;)

Answer 9

First step, how far did the Hawks go ?
The Hawks cycled through Bird Point to reach the cave

How far to Bird Point?
Then how far from Bird Pt to Cave ?

Answer 10

To answer, you have to look at your diagram and read off the expression they gave you. Can you read ?

Answer 11

3x ?

Answer 12

How far from Camp to Bird point ?

Answer 13

(6x + 5)

Answer 14

now add the distance from Bird Point to the cave
just write down + in between the two expressions
6x+5 + 3x
we could simplify this. Can you ?

Answer 15

9x + 5

Answer 16

you add up how many x's you have, and how many numbers
yes 9x + 5

that is how far the one group went.

the other group went straight to the cave. How far did they go using the direct route?

Answer 17

from where to where?

Answer 18

camp to cave going the direct way.

Answer 19

(4x + 2)

Answer 20

There is only 1 line that goes straight from the camp to the cave
(4x+2)

one group went (9x+5)
the other went (4x+2)

how do you find the difference between these ?

Answer 21

multiply everything in the second parenthesis by -1 ... then add them together

Answer 22

yes, you know the right way. What do you get ?

Answer 23

hold on..

Answer 24

9x + 5 + -4x - 2 ???? (i think ) lol

Answer 25

yes that is it.
of course you can simplify it.
I'll do the hard part: 5-2 is 3
you can do the x's

Answer 26

5x + 3

Answer 27

you have 9 x's and take away 4 x's

Answer 28

now look carefully at all 4 choices and see if any match your answer.

Answer 29

A.

Answer 30

perfect. time to move on to the next problem

Answer 31

thank you :)

Answer 32

yw