Factorising expressions I

Factorising expressions I

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
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This task is about factorising algebraic expressions.
a) x2 + 9x + 18 can be factorised to

(A)   (x + 9)(x + 2)
(B)   (x – 6)(x + 3)
(C)   (x + 6)(x + 3)
(D)   (x – 6)(x – 3)
 

b)

x2 + 5x + 4 can be factorised to

(A)   (x + 5)(x + 1)
(B)   (x + 4)(x + 1)
(C)   (x + 5)(x – 1)
(D)   (x + 4)(x – 1)
 

c)

  x2 + x – 12 can be factorised to

(A)   (x – 4)(x + 3)
(B)   (x + 6)(x – 2)
(C)   (x + 4)(x – 3)
(D)   (x – 6)(x – 2)
 

d)

  x2 – 9x + 20 can be factorised to

(A)   (x – 4)(x – 5)
(B)   (x – 10)(x – 2)
(C)   (x – 5)(x + 4)
(D)   (x – 10)(x + 2)
 

e)

  x2 – 10x + 21 can be factorised to

(A)   (x + 7)(x – 3)
(B)   (x – 7)(x + 3)
(C)   (x + 7)(x + 3)
(D)   (x – 7)(x –3)
 

f)

  x2 – 2x – 24 can be factorised to

(A)   (x + 4)(x - 6)
(B)   (x – 4)(x + 6)
(C)   (x – 6)(x – 4)
(D)   (x + 4)(x + 6)
Task administration: 
This task is completed with pencil and paper only.
Level:
5
Curriculum info: 
Maths, Number and Algebra, Equations and expressions
Keywords: 
algebraic expressions, factorise
Description of task: 
Students select the correct factorisation of algebraic expressions.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Using symbols and expressions to think mathematically, sets 6-7
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 

Y10 (11/1999)

a)

C

easy

b)

B

easy

c)

C

easy

d)

A

moderate

e)

D

moderate

f)

A

moderate