Test: Algebra II - Ambitious

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Question 1:   Simplify the expression: 2( x3 )+3( 2x5 )
3x8
7x14
8x21
8x+9
Question 2:   Simplify the expression: 2( 3x5 )+( 76x )
2
12x+2
17
9x+2
Question 3:   Simplify the expression: 6 y 2 ( y 3 +4y1 )
y 5 +4 y 3 y 2
6 y 5 +24 y 3 6 y 2
6 y 5 +10 y 3 6 y 2
6 y 5 +18 y 2
Question 4:   Simplify the expression: 6 4( a+1 ) 2
12a12
6a+2
12a1
12a12
Question 5:   Simplify the expression: 2( 3p2q+2r )8( pq 1 2 r )
2p+4q
2p4q
2p4q4r
2p+4q+8r
Question 6:   Simplify the expression: 3x( xy+z )4x( 2x+yz )
5 x 2 7xz+7xy
3 x 2 7xy+7xz8x
5 x 2 +xyxz
5 x 2 7xy+7xz
Question 7:   Simplify the expression: 5 a 2 ( a 3 5 b )+3a( a 2 7ab )
a 3 +9 a 2 b
2 a 3 18 a 2 b
2 a 3 24 a 2 b
a 3 2 a 2 b
Question 8:   Simplify the expression: 3 2 ( x+2y 2 )3( x 2 2y )
6y
6y
3x 2 6y
6x 2 6y
Question 9:   Multiply out and simplify the expression: ( x1 )( x 2 y 2 )
x 3 x 2 y 2 1
x 3 x y 2 x 2 + y 2
2 x 2 x 2 y y 2
x 3 +x y 2 x 2 y 2
Question 10:   Factorise: 3 a 2 b9ab+6a b 2
3a( ab3b+2b )
3ab( a3+2b )
3b( 12b )
3ab( a 2 3a+2b )