Test: Algebra III - Ambitious

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Question 1:   Simplify: 4x÷2 x , x>0
2 x
1 2 x 2
x 2
1 2 x
Question 2:   Solve: x 7 5=2
x=7
x=21
x=14
x=49
Question 3:   Multiply out: ( t 2 3k+3 )( k+9 )
t 2 k9 t 2 + k 2 16k+27
t 2 k9 t 2 + k 2 24k+27
t 2 k+6 t 2 3 k 2 +12k+27
t 2 k+9 t 2 3 k 2 24k+27
Question 4:   Expand: ( 4xy6 )( 46xy )
16 x 2 y 2 38xy+24
16 x 2 y 2 +26xy+10
24 x 2 y 2 +52xy24
24 x 2 y 2 +26xy10
Question 5:   Expand: ( 3 x 4 +y )( x 4 2y )
4 x 8 y
4 x 8 7 x 4 y2 y 2
3 x 8 7 x 4 y+2 y 2
3 x 8 5 x 4 y2 y 2
Question 6:   Expand: ( x 3 +1 )( 3 3 1 )
9xx 3 +3 3 1
2x 3 +3 3
3 3
6xx 3 2 3
Question 7:   Expand: ( 2 3 )( 3 + 6 )
6 3 2 +3
2 6 2 3 3 2 3
6 +2 3 3 2 3
6 2 3
Question 8:   Expand: ( a1 )( a+2 )+( a3 )( a+2 )
a 2 8a6
2 a 2 8
2 a 2 6a+4
2 a 2 5a6
Question 9:   Expand: ( x+y ) 2 ( x 2 + y 2 )
2 x 2 +2xy
2 x 2 +2 y 2 2xy
2 y 2 +2xy
2xy
Question 10:   Formula for the area of a trapezium is: A= 1 2 (a+b)h Rearrange the formula to make h the subject
h= 1 2 A a+b
h= 2A a+b
h= a+b 2A
h=2A(a+b)