Test: Algebra II - Challenging

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Question 1:   Simplify the expression: 3 2 3 x( 6 x 2 9x+ 3 8 )
22 x 3 33 x 2 +1 3 8 x
12 x 3 11 x 2 +5 3 8 x
19 x 3 28 x 2 2 1 3 x
18 2 3 x 3 27 2 3 x 2 +3 7 8 x 3x8
Question 2:   Simplify the expression: 4 x 2 8 2 16 x 2 +24 4
2 x 2 4
2 x 2 +8
2 x 2 10
2 x 2 +12
Question 3:   Simplify the expression: 2 3 R( 6R18 ) 1 5 ( 24+15P )
4 R 2 12R3P4 4 5
4 5 R 2 5P15 2 3
4RP+13
3 R 2 +2P11
Question 4:   Simplify the expression by collecting like terms: 2xy+5xz+2x(3yzy)z(xxy)+xz(5y4)
12xyz
xy+6xyz
2xy+2xz
0
Question 5:   Simplify the expression by collecting like terms: 2x(1y)3(xy)+y(x+2)+xy
x+2y
x+y
x+5y
1 2 x+3y
Question 6:   Simplify and factorise the expression: 3xy2zx7zy6xz+yx
4x(y2z)-7zy
6y(x2z)
3z(2x3y)+4xy
6x( 32 7 y 10 7 z+8 )
Question 7:   Simplify the expression: 2(x+y)(xy)(x+1)(2x3)
x 2 + y 2 +5
2 x 2 +y4
x 2 2 y 2 1
2 y 2 +x+3
Question 8:   Simplify the expression: (x5) 2 + (x4) 2
2 x 2 9x+22
2x9
4 x 2 18x+81
2 x 2 18x+41
Question 9:   Simplify the expression: (x1) 2 (x+1)(x1)
x
0
x 2 1
2x+2
Question 10:   Simplify the expression by collecting like terms: 2(p+q)3r(p2q)+q+3(p1)(q+r)
5pq(r1)
6r(qp)
2p3r+6qr+3pq
2(r[ 3qp ]+1)