Test: Algebraic Fractions - Ambitious

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Question 1:   Simplify: 3x 2 y 3 6xy 9 x 2
x y 2
1 y 2
3 y 2
3 y 3
Question 2:   Simplify: a 2 b 2 2ab 3a
2 a 2 3 b 2
0
2 a 2 3b
2 3b
Question 3:   Simplify: 4 x 2 y 2 3 z 2 5 y 2 z 2xz 2x y 2 z
8 x 2 y 2 3 z 2
20 x 2 y 2 3 z 3
20x y 2 3 z 2
8 z 3 y 2 3x
Question 4:   Simplify: x y 2 z ÷ x 2 y 2z
2y
2x
2 x y
2 y x
Question 5:   Simplify: 3 p 2 q 4r s 2 ÷ 9p r 2 12 q 2 s
3q sr
p q 3 s r 3
2 q 3 3p r 2
q 3 r 2
Question 6:   Simplify: 3x 2 + 2x 3 + 5x 4
2 1 4 x
2 17 18 x
3 5 12 x
2 13 18 x
Question 7:   Simplify: 1 x + 2 3x + 3 7x
2 1 7x
2 2 21x
2 1 7 x
2 2 21 x
Question 8:   Simplify: 3x+ 2x+y 3 x3y 5
3 7 15 x+ 14 15 y
6x 2 5 y
2 5 8 x 2 3 y
1 1 3 x 2 5 y
Question 9:   Simplify: 5x 6y 3y 2x
5 x 2 9 y 2 6xy
7 x 2 +3 y 2 5xy
7 x 2 3 y 2 2xy
5( xy )( x+y ) 6xy
Question 10:   Simplify: p3 3q 3p+2 2q + 4p1 5q
p2 q
7p1 30q
13p+17 30q
11p66 30q