Test: Algebraic expressions I - Challenging

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Question 1:   Simplify the expression x 2 +( x 2 +3 )+x( 2-0.5x )
1.5 x 2 +2x+3
0.5 x 2 +3
1.5 x 2 -2x+3
1.5 x 2 -2x-3
Question 2:   Simplify: ( -4 a 5 b 3 ) 2 ( - 1 2 ab )
8 a 11 b 7
-4 a 8 b 6
4 a 8 b 6
-8 a 11 b 7
Question 3:   Find 24% of ( 2 1 7 + 3 14 ):( 4 5 7 )
12
0.12
120
1.2
Question 4:   The difference in the squares of two numbers is 25, the sum of these numbers is also 25. Find these numbers.
13 and 12
11 and 14
10 and 15
20 and 5
Question 5:   Simplify: ( 1+ c 2 ) 2 -2 c 2
1-c
1+c
1- c 2
1+ c 4
Question 6:   Simplify: ( 2 x 2 y ) 3 ( -x y 3 ) 2
-2xy
2 x 7 y 8
8 x 8 y 9
-8 x 8 y 9
Question 7:   Factorise: 27 a 2 - a 5
a 2 ( 3-a )( 9+3a+ a 2 )
a 2 ( 3+a )( 9+3a+ a 2 )
( 3-a )( 9+3a+ a 2 )
( 3-a )( 3+a )
Question 8:   Reduce: a+9-6 a a-9
a -3 a +3
a +3 a -3
6 a
a+3 a-3
Question 9:   Remove irrationals from the denominator: 2 -a 2 +a
( 2 -a ) 2 2- a 2
2 2
( 2 +a ) 2 2+a
2 +a 2
Question 10:   Determine value of m for which equations have the same root: 2x-3=7 and m-2x=1
-11
11
12
-12