ALGEBRA 1

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You practice playing your guitar every day. You spend 15 minutes practicing chords and the rest of the time practicing a new song. So the total number of minutes y you practice for the week is given by y=7(15+x), where x is the number of minutes you spend on practicing a new song.
a. Solve the equation for x.

b. How many minutes did you spend on a new song if you practiced 210 minutes last week? 245 minutes? 315 minutes?

is a: x=1/7y-15

  • ALGEBRA 1 -

    a. y = 7(15 + x)
    y = 105 + 7x
    y - 105 = 7x
    1/7y - 105/7 = x

    X DOES NOT EQUAL 1/7y - 15. You didn't distribute the 7 to 15. Remember to distribute to all on the equation, not just the x!

    b. 210 = 105 + 7x
    105 = 7x
    x = 105/7 = 15 minutes practicing new song

  • ALGEBRA 1 -

    sorry. x does equal 1/7y - 15. but if you only spend 210 minutes practicing that one week, it is impossible for you to practice 245 or 315 minutes on the new song.

  • ALGEBRA 1 -

    A: Solve for the equation for X.
    Y=7(15+X)
    Y=105+7X
    Y-105=7X
    Y/7-15=X or 1/7 Y-15=X
    B: Plug in the number Y as 210, 245, 315
    210=7(15+X)
    210=105+7X
    105=7X
    15=X
    [That was the example for if you practiced 210 minutes last week.]

  • ALGEBRA 1 -

    245:
    245=105+7X
    140=7X
    20=X

    315:
    315=105+7X
    210=7X
    30=X

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