Test: Algebra I - Ambitious

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Question 1:   Simplify: 3 l 2 mn+n l 2 m5m n 2 l+ l 2 nm+2 n 2 mlm n 2
mn( 5 l 2 3nl+m )
l 2 ( 5mn2ml+n )
mn( 5 l 2 3nln )
5mn( l 2 +nlm )
Question 2:   Simplify: z 7 ÷ z x z y 2
z 7+x y 2
z 7+x+ y 2
z(7x y 2 )
z 7x+ y 2
Question 3:   Remove the brackets: { 2[ x3( y4 ) ]5( z+6 ) }
2x+3y5z+20
2x6y5z28
2x6y+5z+54
2x6y+5z+6
Question 4:   Remove logs: logF=logG+logHlog( 1 M )2logR
F= GHM R 2
F= GH M R 2
F=G+M 1 M 2R
F=2 GH MR
Question 5:   Rewrite in the logarithmic form: T=2π L G
logT=log 2πL G
logT=log2+logπ+ 1 2 ( logLlogG )
logT=log2+logπ ( logLlogG ) 2
logT=log2+logπ 1 2 logLlogG
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