CAIE IGCSE Mathematics Extended E2.2 Algebr…ation

Covered syllabus points

[Maximum number: 4]

(a)

Simplify.

[ 4 ]

(i)

3 m-5 n-4 m+8 n

[ 2 ]

(ii)

$\frac{4 x}{5}-\frac{3 x}{10}+\frac{2 x}{15}$

[ 2 ]

$\frac{19x}{30}$ final answer
M1 for $\frac{6\times4x-3\times3x+2\times2x}{30}$ oe

[Maximum number: 3]

\mathrm{f}(x)=x(x+2)(x-3)

Expand and simplify.

x(x+2)(x-3)

$x^3-x^2-6x$

B2 for $x(x^2+2x-3x-6)$ , $(x^2+2x)(x-3)$ , or $(x+2)(x^2-3x)$ .
B1 for $x^2+2x-3x-6$ , $x^2+2x$ , or $x^2-3x$ .

[Maximum number: 7]

(a)

Expand and simplify.

4(2 x-1)-6(3-x)

[ 2 ]

(b)

Factorise completely.

[ 5 ]

(i)

6 x^2 y+9 x y

[ 2 ]

3xy(2x+3) final answer
M1 for answer $3(2x^2y+3xy)$ , 3x(2xy+3y), $3y(2x^2+3x)$ , or xy(6x+9)
B1 for correct answer seen and spoilt

(ii)

4 x^2-y^2+8 x+4 y

[ 3 ]

All question bank results loaded