CAIE IGCSE Mathematics Core C2.2 Algebraic Manipulation Questions

Practise collecting like terms, expanding single or double brackets and factorising expressions by taking out common factors.

Exam points

[Maximum number: 2]

Factorise completely.
$15x^3y-3x$

$3x(5x^2y-1)$ final answer
B1 for $3(5x^3y-x)$ or $x(15x^2y-3)$ , or correct answer spoilt

[Maximum number: 2]

Simplify.

5 b-8 c+2 b-3 c

[Maximum number: 4]

(a)

Expand and simplify.

(x+5)(x-4)

[ 2 ]

$x^2+x-20$ final answer

B1 for $x^2-4x+5x-20$ with at least 3 terms correct

(b)

Factorise.

$21 r^{3}-7 r$

[ 2 ]

$7r(3r^2-1)$ final answer

B1 for $7(3r^3-r)$ or $r(21r^2-7)$
or for $7r(3r^2-1)$ seen then spoilt

[Maximum number: 2]

Expand and simplify.

(x+5)(x-4)

$x^2+x-20$ final answer

B1 for $x^2-4x+5x-20$ with at least 3 terms correct

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