Question

Shawn ran 5 miles more than Alex ran. The sum of their distances is 19 miles. How far did Alex run? The domain of the solution is {7, 12, 14, 24}.
Grading Rubric
2 points: Choose a letter to represent your unknown value
2 points: Write an algebraic expression for each person using only one variable
2 points: Write an equation using the two algebraic expressions
2 points: Plug in each value from the domain into the equation
2 points: Find the distance Alex ran

Can anyone help me pls?

Answer 1

what do u think so, what is the correct answer ?

Answer 2

well I dont quite understand the question and theres many questions to it could you guide me through it? @Haseeb96

Answer 3

`Choose a letter to represent your unknown value`
which letter do you want to pick?

Answer 4

any letter will be fine?

Answer 5

yeah, usually x works

Answer 6

ok
then x

Answer 7

`Shawn ran 5 miles more than Alex ran`

if Alan ran x miles (some unknown number of miles), then how many did Shawn run? in terms of x

Answer 8

s5+a?

Answer 9

i dont know haha

Answer 10

where are you getting s and a?

Answer 11

let's use actual numbers

say Alan ran 7 miles
how many miles did Shawn run?

Answer 12

12

Answer 13

how did you get that

Answer 14

cause it saids shawn ran 5 more miles than alan

Answer 15

so you basically add 5 to whatever Alan has

if Alan has x, then shawn has x+5

Answer 16

ooooohhh

Answer 17

adding x to x+5 gives what?

Answer 18

5x?

Answer 19

1apple + 1apple = 2apples

so x+x = 2x

Answer 20

x + x+5 would turn into 2x+5, right?

Answer 21

yeah

Answer 22

`The sum of their distances is 19 miles`
we just found the total distance to be 2x+5

equate the two

2x+5 = 19

then solve for x

Answer 23

x would be 7 @jim_thompson5910

Answer 24

good

Answer 25

and x+5 would be x+5=7+5 = 12

so Alan ran 7 miles, Shawn ran 12 miles

7+12 = 19 checks out

Answer 26

but does this answer each question?

2 points: Choose a letter to represent your unknown value
2 points: Write an algebraic expression for each person using only one variable
2 points: Write an equation using the two algebraic expressions
2 points: Plug in each value from the domain into the equation
2 points: Find the distance Alex ra

Answer 27

how did you find that x = 7

Answer 28

did you plug in various x values? or did you isolate x?

Answer 29

plug in

Answer 30

so you did the `Plug in each value from the domain into the equation` step. Be sure to list every value from that set

Answer 31

oh no i didnt ill make sure to put that in thank you! but what about the other questions?

Answer 32

2 points: Write an algebraic expression for each person using only one variable?

Answer 33

that's when I said that

alan ran x miles
shawn ran x+5 miles

Answer 34

Write an equation using the two algebraic expressions

Answer 35

what about this question? Write an equation using the two algebraic expressions

Answer 36

I wrote the equation above too

Answer 37

@jim_thompson5910 thank you so much! really means alot! I appreciate your patience :)

Answer 38

you're welcome