Expansion of two brackets: Linear 2 positive coefficients

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Julie Crowley

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Ready to use

8 years, 11 months ago

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Julie Crowley 8 years, 6 months ago

Published this.

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Julie Crowley 8 years, 11 months ago

Gave some feedback: Ready to use

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Julie Crowley 9 years, 7 months ago

Created this as a copy of julie's copy of Expansion of two brackets: Linear 2.

Name	Status	Author	Last Modified
Expansion of two brackets: Linear 2	draft	Bill Foster	06/08/2020 08:41
Expansion of two brackets: Linear 2 positive coefficients	Ready to use	Julie Crowley	07/10/2016 22:09
Simon's copy of Expansion of two brackets: Linear 2 positive coefficients	draft	Simon Thomas	04/03/2019 09:44
Anna's Expansion of two brackets: Linear 2 positive coefficients - test	draft	Anna Strzelecka	05/07/2019 10:44

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Question statement

Expand the following to give a quadratic in $x$ .

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	4
c	integer	2
b	integer	3
d	integer	7

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(2..5)

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:

Advice
"Unnamed part" - prompt
"Unnamed part" → "Unnamed gap" - Correct answer

Parts

Gap-fill
1. Gap 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.

$\simplify[std]{({a}x+{b})({c}x+{d})}=\;$ Unnamed gap.

Your answer should be a quadratic in $x$ and should not include any brackets.

You can click on Show steps for more information, but you will lose one mark if you do so.

Advice

Using the method given by Show steps we have:

$\begin{eqnarray*}\simplify[std]{ ({a}x+{b})({c}x+{d})}&=&\simplify[std]{{a}x*({c}x+{d})+{b}({c}x+{d})}\\&=&\simplify[std]{{a*c}x^2+{a*d}x+{b*c}x+{b*d}}\\&=&\simplify[std]{{a*c}x^2+{(a*d+b*c)}x+{b*d}}\end{eqnarray*}$

Give a worked solution to the whole question.

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

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Part	Test	Passed?
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Gap-fill		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
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Expansion of two brackets: Linear 2 positive coefficients

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Julie Crowley 8 years, 6 months ago

Julie Crowley 8 years, 11 months ago

Julie Crowley 9 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Error

Expansion of two brackets: Linear 2 positive coefficients

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Julie Crowley 8 years, 6 months ago

Julie Crowley 8 years, 11 months ago

Julie Crowley 9 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`