Q1 Factorise

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TEAME CIT

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TEAME CIT 8 years, 5 months ago

Published this.

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TEAME CIT 9 years, 4 months ago

Created this.

Name	Status	Author	Last Modified
Q1 Factorise	draft	TEAME CIT	12/10/2016 09:46
Marlon's copy of Q1 Factorise	draft	Marlon Arcila	03/02/2018 16:32

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Question statement

Factorise each of the following:

Give any introductory information the student needs.

			Name	Type	Generated Value

num11	list	[ 9, 3, 10, 2, 5, 8, 7, 4, 6 ]
num12	list	[ 4, 3, 2 ]
num22	list	[ 2, 3, 9, 7, 8, 4, 5, 6, 10 ]
num32	list	List of 10 items

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
shuffle(2..10)[0..9]

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `list`

[ 9, 3, 10, 2, 5, 8, 7, 4, 6 ]

→ Used by:

"Part a)" - prompt
"Part a)" → "Gap 0." - Correct answer
"Part a)" → "Gap 1." - Correct answer
"Part a)" → "Gap 2." - Correct answer

Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

(i) $\simplify{{num12[0]} *{ num11[0]}}xy - \simplify{{num12[0]}*{num11[1]}}xw + \simplify{{num12[0]}*{num11[2]}}xz$

Gap 0.

(ii) $\simplify{{num12[1]} *{ num11[3]}}xy^4 + \simplify{{num12[1]}*{num11[4]}}xy^2 - \simplify{{num12[1]}*{num11[5]}}x^2y$

Gap 1.

(iii) $\simplify{{num12[2]} *{ num11[6]}}x^2 - \simplify{{num12[2]}*{num11[7]}}xy + \simplify{{num12[2]}*{num11[8]}}x^3$

Gap 2.

Advice

Example 1;

$3xy^4 +9xy^2 -6x^2y$

First check if the equation can be divided across by a constant,

$3(xy^4 +3xy^2 -2x^2y)$

Next, check if the equation can be divided across by any term(s)

$3xy(y^3 +3y -2x)$

Example 2;

$9x^2 - 49$

This is the differnce of 2 squares!!

Always in the form (x - )(x + )

Get the square root of both numbers in the equation $\sqrt9 = 3$ and $\sqrt49 = 7$

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

Example 3;

$2ab - 6ac - bd + 3cd$

Gather the terms that has common factors and take them out, similar as part 1

$2a(b - 3c) - d(b - 3c)$

Next, since there is a common factor bracket, the equation can be reduced further

$(b - 3c)(2a - d)$

Give a worked solution to the whole question.

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This question is used in the following exams:

Math6000(ws10) by TEAME CIT in MATH6000 Essential Mathematical Skills.
Apprentices Year 1 Quiz 3 by Aoife O'Brien in Aoife's Exams.

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

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Checkpoint description

TEAME CIT 8 years, 5 months ago

TEAME CIT 9 years, 4 months ago

Error in variable testing condition

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Generated value: `list`

Parts

Gap-fill

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Q1 Factorise

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

TEAME CIT 8 years, 5 months ago

TEAME CIT 9 years, 4 months ago

Error in variable testing condition

Error

Warning

Generated value: list

Parts

Gap-fill

Generated value: `list`