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Bossimbacon

  • one year ago

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?

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  1. Haseeb96
    • one year ago
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    what do u think so, what is the correct answer ?

  2. Bossimbacon
    • one year ago
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    well I dont quite understand the question and theres many questions to it could you guide me through it? @Haseeb96

  3. jim_thompson5910
    • one year ago
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    `Choose a letter to represent your unknown value` which letter do you want to pick?

  4. Bossimbacon
    • one year ago
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    any letter will be fine?

  5. jim_thompson5910
    • one year ago
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    yeah, usually x works

  6. Bossimbacon
    • one year ago
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    ok then x

  7. jim_thompson5910
    • one year ago
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    `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

  8. Bossimbacon
    • one year ago
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    s5+a?

  9. Bossimbacon
    • one year ago
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    i dont know haha

  10. jim_thompson5910
    • one year ago
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    where are you getting s and a?

  11. jim_thompson5910
    • one year ago
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    let's use actual numbers say Alan ran 7 miles how many miles did Shawn run?

  12. Bossimbacon
    • one year ago
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    12

  13. jim_thompson5910
    • one year ago
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    how did you get that

  14. Bossimbacon
    • one year ago
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    cause it saids shawn ran 5 more miles than alan

  15. jim_thompson5910
    • one year ago
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    so you basically add 5 to whatever Alan has if Alan has x, then shawn has x+5

  16. Bossimbacon
    • one year ago
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    ooooohhh

  17. jim_thompson5910
    • one year ago
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    adding x to x+5 gives what?

  18. Bossimbacon
    • one year ago
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    5x?

  19. jim_thompson5910
    • one year ago
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    1apple + 1apple = 2apples so x+x = 2x

  20. jim_thompson5910
    • one year ago
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    x + x+5 would turn into 2x+5, right?

  21. Bossimbacon
    • one year ago
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    yeah

  22. jim_thompson5910
    • one year ago
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    `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

  23. Bossimbacon
    • one year ago
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    x would be 7 @jim_thompson5910

  24. jim_thompson5910
    • one year ago
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    good

  25. jim_thompson5910
    • one year ago
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    and x+5 would be x+5=7+5 = 12 so Alan ran 7 miles, Shawn ran 12 miles 7+12 = 19 checks out

  26. Bossimbacon
    • one year ago
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    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

  27. jim_thompson5910
    • one year ago
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    how did you find that x = 7

  28. jim_thompson5910
    • one year ago
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    did you plug in various x values? or did you isolate x?

  29. Bossimbacon
    • one year ago
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    plug in

  30. jim_thompson5910
    • one year ago
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    so you did the `Plug in each value from the domain into the equation` step. Be sure to list every value from that set

  31. Bossimbacon
    • one year ago
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    oh no i didnt ill make sure to put that in thank you! but what about the other questions?

  32. Bossimbacon
    • one year ago
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    2 points: Write an algebraic expression for each person using only one variable?

  33. jim_thompson5910
    • one year ago
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    that's when I said that alan ran x miles shawn ran x+5 miles

  34. Bossimbacon
    • one year ago
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    Write an equation using the two algebraic expressions

  35. Bossimbacon
    • one year ago
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    what about this question? Write an equation using the two algebraic expressions

  36. jim_thompson5910
    • one year ago
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    I wrote the equation above too

  37. Bossimbacon
    • one year ago
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    @jim_thompson5910 thank you so much! really means alot! I appreciate your patience :)

  38. jim_thompson5910
    • one year ago
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    you're welcome

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