# 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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