Expanding
Simultaneous Equations
Factorising
Factorising when a>1
100

Expand and simplify:

x(4-x)


4x - x2

or 

-x2 + 4x

100

Solve the following pair of equations.

x + y = 10               and y = x - 8

x = 9

y = 1

100

Factorise the following expression.

5x + 10

5(x + 2)

100

Factorise: 3x2-7x-6

(x-3)(3x+2)

200

Expand and simplify:

(4x + 5)(x - 2)

4x- 3x - 10

200

Solve the following pair of simultaneous equations.

2x + y = 7     and         x = 4 - y

x = 3    and     y = 1

200

Factorise the following expression.

m2 + m

m(m + 1)

200

Factorise: 2x2-7x-4

(2x+1)(x-4)

300

Expand and simplify:

(p + 2)2

p2 + 4p + 4

300

Solve the following pair of simultaneous equations.

5a - 4b = 9      and       3a + b = 2

a = 1       and      b = -1 

300

Factorise the following expression.

x2 + 7x + 12

(x + 3)(x + 4) 

300

Factorise 6x2+x-12

(3x-4)(2x+3)

400

Expand and simplify:

(x + 5)(x - 5)

x2 - 25

400

4 large jars and 2 small jars weigh 8.2 kg.  3 large jars and 3 small jars weigh 7.5 kg.  Find the mass of a large jar and the mass of a small jar.  

A large jar is 1.6 kg and a small jar is 0.9 kg.

400

Factorise the following expression.

x2 - 4x - 12

(x + 2)(x - 6)

400

Factorise 5x2-16x+3

(5x-1)(x-3)

500

Expand and simplify:

s(s - 12) 

s2 - 12s 

500

It costs $1960 to employ 4 carpenters and a labourer for a day.  It costs $2010 to employ 3 carpenters and 3 labourers for a day.  How much does it cost to employ 2 carpenters and 4 labourers for a day?

It costs $1820 to employ 2 carpenters and 4 labourers for a day.

500

Factorise the following expression.

x2 + 4x - 12 

(x + 6)(x - 2)

500

Factorise 9x2-18x-7

(3x+1)(3x-7)

M
e
n
u