Simplify fully

�� + 4� − 5�� − 1

(� + 1)(� − 5)(� + 1)(� − 1)

=� − 5� − 1

A

Simplify

(2������) × (3�����)

5x7y3z4

B

Solve

�2

= 6

C

Factorise fully

2�� − 50��

D

If m = 3 and v = 10

calculate the value of E where

E = mv2

E

Solve

3� + 6 =  30 − 7�

4y + 6 = 304y = 24Y = 6

F

Expand and simplify

(2� + 1)(3� − 4)

G

Solve simultaneously

2x – 3y = 7 3x + 4y = 12

H

+

Solve by completing the square

�� + 8� − 6 = 0

√

√

I

Factorise

6�� − 23� − 4

(6x+1)(x-4)

J

Expand and simplify

2(3� + 2) − (� − 7)

L

Factorise fully

3�� − 27

3(x-3)(x+3)K

Solve

5� − 2

+4

� − 1= 5

M

Work out the value of�� − 4�� + 7 when x = - ½

− �� + 1 + 7 = 7 �

�

N

Make x the subject

�� − ��

= � + �

O

Expand and simplify

(� + �)� + 2� + ��

x2 + y2 + 2x + y2

x2 + 2x + 2y2

P

Solve simultaneouslyx2 + y2 = 5 y = 3x - 5

y2 = (3x – 5)2

y2 = 9x2 – 30x + 25 x2 -3x + 2 = 0x2 + 9x2 – 30x + 25 = 5 (x–2)(x+1)=0

10x2 – 30x +20 = 0 x = 2Q

Simplify fully

������������

÷ �������

(x + 4)(x – 2)(2x – 8)

(x - 4)(x + 4)(x – 2)

2x – 8

x – 4R