Bossimbacon
  • Bossimbacon
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?
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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Haseeb96
  • Haseeb96
what do u think so, what is the correct answer ?
Bossimbacon
  • Bossimbacon
well I dont quite understand the question and theres many questions to it could you guide me through it? @Haseeb96
jim_thompson5910
  • jim_thompson5910
`Choose a letter to represent your unknown value` which letter do you want to pick?

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Bossimbacon
  • Bossimbacon
any letter will be fine?
jim_thompson5910
  • jim_thompson5910
yeah, usually x works
Bossimbacon
  • Bossimbacon
ok then x
jim_thompson5910
  • jim_thompson5910
`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
Bossimbacon
  • Bossimbacon
s5+a?
Bossimbacon
  • Bossimbacon
i dont know haha
jim_thompson5910
  • jim_thompson5910
where are you getting s and a?
jim_thompson5910
  • jim_thompson5910
let's use actual numbers say Alan ran 7 miles how many miles did Shawn run?
Bossimbacon
  • Bossimbacon
12
jim_thompson5910
  • jim_thompson5910
how did you get that
Bossimbacon
  • Bossimbacon
cause it saids shawn ran 5 more miles than alan
jim_thompson5910
  • jim_thompson5910
so you basically add 5 to whatever Alan has if Alan has x, then shawn has x+5
Bossimbacon
  • Bossimbacon
ooooohhh
jim_thompson5910
  • jim_thompson5910
adding x to x+5 gives what?
Bossimbacon
  • Bossimbacon
5x?
jim_thompson5910
  • jim_thompson5910
1apple + 1apple = 2apples so x+x = 2x
jim_thompson5910
  • jim_thompson5910
x + x+5 would turn into 2x+5, right?
Bossimbacon
  • Bossimbacon
yeah
jim_thompson5910
  • jim_thompson5910
`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
Bossimbacon
  • Bossimbacon
x would be 7 @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
good
jim_thompson5910
  • jim_thompson5910
and x+5 would be x+5=7+5 = 12 so Alan ran 7 miles, Shawn ran 12 miles 7+12 = 19 checks out
Bossimbacon
  • Bossimbacon
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
jim_thompson5910
  • jim_thompson5910
how did you find that x = 7
jim_thompson5910
  • jim_thompson5910
did you plug in various x values? or did you isolate x?
Bossimbacon
  • Bossimbacon
plug in
jim_thompson5910
  • jim_thompson5910
so you did the `Plug in each value from the domain into the equation` step. Be sure to list every value from that set
Bossimbacon
  • Bossimbacon
oh no i didnt ill make sure to put that in thank you! but what about the other questions?
Bossimbacon
  • Bossimbacon
2 points: Write an algebraic expression for each person using only one variable?
jim_thompson5910
  • jim_thompson5910
that's when I said that alan ran x miles shawn ran x+5 miles
Bossimbacon
  • Bossimbacon
Write an equation using the two algebraic expressions
Bossimbacon
  • Bossimbacon
what about this question? Write an equation using the two algebraic expressions
jim_thompson5910
  • jim_thompson5910
I wrote the equation above too
Bossimbacon
  • Bossimbacon
@jim_thompson5910 thank you so much! really means alot! I appreciate your patience :)
jim_thompson5910
  • jim_thompson5910
you're welcome

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