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 )
4 a 8 b 6
-4 a 8 b 6
8 a 11 b 7
-8 a 11 b 7
Question 3:   Find 24% of ( 2 1 7 + 3 14 ):( 4 5 7 )
0.12
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.
11 and 14
10 and 15
20 and 5
13 and 12
Question 5:   Simplify: ( 1+ c 2 ) 2 -2 c 2
1- c 2
1-c
1+c
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
( 3-a )( 3+a )
( 3-a )( 9+3a+ a 2 )
a 2 ( 3-a )( 9+3a+ a 2 )
a 2 ( 3+a )( 9+3a+ a 2 )
Question 8:   Reduce: a+9-6 a a-9
6 a
a+3 a-3
a -3 a +3
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