Test: Algebra I - Challenging

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Question 1:   If q 3 =27 , solve 1 2 q 2 +2q
9
58 1 2
6
10 1 2
Question 2:   If s=2 , t= 1 2 solve 2 s 2 t+ t s
4
3 3 4
4 1 4
2
Question 3:   Simplify: 0.2x( 10 x 2 y+xy )
2 x 3 y+0.2 x 2 y
2 x 2 y 2
2.2 x 3 y 2
1.8 x 3 y+0.2x y 2
Question 4:   Simplify: 7 3 x 3 y 2 13 21
x 3 y 2 13 3
x 3 y 2 39 3
7 x 3 y 2
7 x 3 y 2 13
Question 5:   Simplify: 3 x 2 y 2 ( y 4 6 )
3 x 3 y 5 6
3 x 2 y 5 12
6 x 2 y 5 3
3 x 2 y 5 8
Question 6:   Simplify: 2 p 2 6 q 3 4p q 2
2pq
p q 2
3pq
p 2 q
Question 7:   Simplify: v 3 u 2 3 u v 2
v 2 u 3
u 2 v 3
v 2 u 3
vu 3
Question 8:   Simplify: 5 x 3 7 y 4 70 x 2 y 2
x y 2
x y 2 2
x 2 y 2
2xy 5
Question 9:   Expand and simplify the expression: 2( x+yz )( 2xy+2z )
0
4z
3y4z
y
Question 10:   Expand and simplify the expression: 1 2 ( p 2 2pqr )( 1 2 p 2 +2pq 1 2 r )
pq
pq+r
p 2 pq+r
pqr