Test: Algebraic expressions II - Challenging

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Question 1:   Multiply   4 1 3 a×2 b 2
4 1 6 a b 2
8 2 3 a b 2
4 2 3 a b 2
8 1 3 a b 2
Question 2:   Calculate   3.85×5 1 7 69.25:27.7
173
1.73
0.173
17.3
Question 3:   Multiply fractions   3 x 2 y 2 × x+y 2 3
xy x
x+y xy
x+y x
xy x+y
Question 4:   Divide:   xy : x y
x + y
x+y
x y
xy
Question 5:   Simplify:   a 7 a 2 3 a 6
a 5
a 5
a
a 4
Question 6:   Factorise the expression:   a 2 + b 2 25+2ab
5 ab
a+b+5 a+b+5
a+b a5
a+b+5 a+b5
Question 7:   Simplify:   4x5y 2 4x 4x10y
25 y 2
25 x 2
25 x 2
25 y 2
Question 8:   Solve   a6b 12  ,  if   a=11+b
7 12
7 12
5 12
5 12
Question 9:   How will the volume of the cube change if each edge is increased by   20%  ?
Volume increases 1.728 times
Volume decreases by 1.728 times
Volume decreases by 1.2 times
Volume increases 1.2 times
Question 10:   Simplify the expression   924x+16 x 2  ,  if   x> 3 4
4x+3
3+4x
34x
4x3