Simplify
(2� � � � � � ) × (3� � �� � )
7 3 4
5x y z
A
Simplify fully
� � + 4� − 5
� � − 1
(� + 1)(� − 5)
� − 5
=
(� + 1)(� − 1)
� − 1
B
Factorise fully
�
�
2� − 50�
C
Solve
�
=6
2
D
Solve
3� + 6 = 30 − 7�
4y + 6 = 30
4y = 24
E
Y = 6
If m = 3 and v = 10
calculate the value of E where
2
E = mv
F
Solve simultaneously
2x – 3y = 7
3x + 4y = 12
+
G
Expand and simplify
(2� + 1)(3� − 4)
H
Factorise
6� � − 23� − 4
(6x+1)(x-4)
I
Solve by completing the square
� � + 8� − 6 = 0
√
J
√
Factorise fully
�
3� − 27
3(x-3)(x+3)
K
Expand and simplify
2(3� + 2) − (� − 7)
L
Work out the value of
� � − 4� � + 7 when x = - ½
�
−
�
+1+7=
�
7
�
M
Solve
5
4
+
=5
� − 2 � − 1
N
Expand and simplify
(� +
2
�
�)
+ 2� +
�
�
2
x + y + 2x + y
2
2
x + 2x + 2y
O
Make x the subject
�� − �
=�+�
�
P
2
Solve simultaneously
x2 + y2 = 5
y = 3x - 5
y2 = (3x – 5)2
y2 = 9x2 – 30x + 25
x2 -3x + 2 = 0
x2 + 9x2 – 30x + 25 = 5
Q
10x2 – 30x +20 = 0
(x–2)(x+1)=0
x = 2
Simplify fully
�
� �����
� � ���
÷
���
����
(x + 4)(x – 2)(2x – 8)
(x - 4)(x + 4)(x – 2)
2x – 8
R
x – 4