CAIE IGCSE Mathematics Extended E2.2 Algebraic Manipulation Topic Practice

Question 1

[Maximum number: 4]

Question (a)

(a)

Simplify.

[ 4 ]

Question (i)

(i)

3 m-5 n-4 m+8 n

[ 2 ]

Question (ii)

(ii)

4x53x10+2x15\frac{4 x}{5}-\frac{3 x}{10}+\frac{2 x}{15}

[ 2 ]

Question 2

[Maximum number: 4]

Question (a)

(a)

Factorise.
a29a^2-9

[ 1 ]

Question (b)

(b)

Expand and simplify.
(2x+3)(x-1)(x+3)

[ 3 ]

Question 3

[Maximum number: 7]

Question (a)

(a)

Expand and simplify.

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

[ 2 ]

Question (b)

(b)

Factorise completely.

[ 5 ]

Question (i)

(i)

6 x^2 y+9 x y

[ 2 ]

Question (ii)

(ii)

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

[ 3 ]
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