Solving a difference of two squares by factorising

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Ben Brawn

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Ben Brawn

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Ready to use

9 years ago

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Ben Brawn 9 years ago

Gave some feedback: Ready to use

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Ben Brawn 9 years, 1 month ago

Created this as a copy of Factorising a difference of two squares.

Name	Status	Author	Last Modified
Factorising a difference of two squares	Ready to use	Ben Brawn	02/06/2016 06:48
Factorising a perfect square	Ready to use	Ben Brawn	09/10/2023 03:18
Factorising a non-monic quadratic	Ready to use	Ben Brawn	09/10/2023 03:18
Factorising a monic quadratic	Ready to use	Ben Brawn	09/10/2023 03:17
Expanding a binomial product (monic factors)	Ready to use	Ben Brawn	25/09/2018 01:14
Expanding a binomial product (difference of two squares, perfect squares)	Ready to use	Ben Brawn	02/06/2016 06:48
Expanding a binomial product (non-monic factors)	Ready to use	Ben Brawn	02/06/2016 06:48
Solving a monic quadratic by factorising	Ready to use	Ben Brawn	21/03/2025 04:21
Solving a difference of two squares by factorising	Ready to use	Ben Brawn	02/06/2016 06:49
Solving a perfect square by factorising	Ready to use	Ben Brawn	05/02/2025 01:18
Solving a non-monic quadratic by factorising	Ready to use	Ben Brawn	02/06/2016 06:49
Heidi's copy of Expanding a binomial product (monic factors)	draft	Heidi Steele	06/09/2017 14:51
Ida's copy of Expanding a binomial product (difference of two squares, perfect squares)	draft	Ida Landgärds	13/04/2018 09:50
spørsmål 5	draft	Ida Landgärds	02/12/2020 15:42
Clare's copy of Solving a non-monic quadratic by factorising	draft	Clare Lundon	19/08/2018 09:09
Clare's copy of Factorising a monic quadratic	draft	Clare Lundon	19/08/2018 09:12
binomial product	Ready to use	heike hoffmann	14/11/2018 22:58
Terry's copy of Expanding a binomial product (monic factors)	draft	Terry Young	03/04/2019 17:30
Terry's copy of Solving a difference of two squares by factorising	draft	Terry Young	03/04/2019 17:38
Terry's copy of Solving a non-monic quadratic by factorising	draft	Terry Young	03/04/2019 17:39
Terry's copy of Solving a perfect square by factorising	draft	Terry Young	03/04/2019 17:39
Terry's copy of Expanding a binomial product (non-monic factors)	draft	Terry Young	03/04/2019 17:40
Verschil van twee kwadraten ontbinden ( of eerst vooropzetten)	draft	Johan Maertens	09/05/2019 12:48
Ontbinden van merkwaardige drieterm	draft	Johan Maertens	09/05/2019 12:55
binomial product	draft	Xiaodan Leng	10/07/2019 23:06
Expanding a binomial product (monic factors)	draft	Xiaodan Leng	10/07/2019 23:27

There are 45 other versions that do you not have access to.

Question statement

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	5
b	integer	5
bb	number	25
aa	number	25
g	number	5
gg	number	25
c	list	[ 4, 8, 10, 6 ]
num	number	80
den	number	24
solb	set	Set of 2 items

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(1..12)

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: `integer`

→ Used by:

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

Parts

Part a) Gap-fill
1. Gap Gap 0. Mathematical expression
  Add
2. Gap Gap 1. Mathematical expression
  Add
1. Step Information only
Part b) Gap-fill
1. Gap Gap 0. Mathematical expression
  Add
2. Gap Gap 1. Mathematical expression
  Add
1. Step Information only

Gap-fill

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

Solve the following quadratic by factorisation:

	$\simplify{{aa}x^2-{bb}}$	$=$	$0$
$\Longrightarrow$	Gap 0.	$=$	0
$\Longrightarrow$	$x$	$=$	Gap 1.

Note: In the first gap, enter the quadratic in factored form.

Note: In the second gap, if $x=1,2$ , enter set(1,2).

Advice

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Information only
Gap-fill
Gap-fill		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Information only

This question is used in the following exams:

Solving quadratics by Ben Brawn in Algebra.
Algebra by James McNaughton in James's workspace.
Algebra by Dean Ang in Dean's workspace.
Algebra by Chris Templet in Chris's workspace.
Core Maths Skills Final Exam Practice Questions by Maria Aneiros in MY QUESTIONS.

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Solving a difference of two squares by factorising

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Ben Brawn 9 years ago

Ben Brawn 9 years, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Error

Solving a difference of two squares by factorising

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Ben Brawn 9 years ago

Ben Brawn 9 years, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`