Rearrange equations

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Julie Crowley

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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, 11 months ago

Gave some feedback: Ready to use

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Julie Crowley 9 years, 1 month ago

Created this as a copy of Jinhua's copy of 3.4 Rearrange equations.

Name	Status	Author	Last Modified
Rearrange equations	Ready to use	Julie Crowley	07/10/2016 21:24
Rearrange equations in two and more variables	draft	Nasir Firoz Khan	04/07/2023 11:09
Rearrange equations	draft	Nigel Atkins	11/12/2016 15:52
haifa's copy of Rearrange equations in two and more variables	draft	haifa abd	01/05/2018 14:16
TP7	draft	Clodagh Carroll	26/10/2018 14:06
Simon's copy of Rearrange equations	draft	Simon Thomas	21/03/2019 14:24
Andrew's copy of Simon's copy of Rearrange equations	draft	Andrew McKinley	25/09/2019 12:02

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Question statement

Give any introductory information the student needs.

			Name	Type	Generated Value

			a	integer	2
			b	integer	11

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(2..8)

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`

This variable doesn't seem to be used anywhere.

Parts

Gap-fill
1. Gap Mathematical expression
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Gap-fill

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

Rearrange the following equation to make S the subject.

$V=\frac{\var{a}S}{S+\var{b}}$

to write a fraction you type (numerator)/(denominator)

S=Unnamed gap

Advice

start by multiplying both sides by the denominator

for example if you have $V=\frac{5S}{S+12}$ then multiply both sides by $(S+12)$

this gives: $V(S+12)=\frac{5S}{S+12} (S+12)$

the (S+12) term on the right hand side cancels out to give: $V(S+12)=5S$

now expand out the brackets: $VS+12V=5S$

then collect the like terms, you want to get all the terms with S in them onto one side, so subtract VS from both sides:

$VS-VS+12V=5S-VS$

this becomes $12V=5S-VS$

now you can factorise the right hand side: $12V=S(5-V)$

then divide both sides by (5-V) to leave S on its own: $\frac{12V}{5-V}=S$

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Julie Crowley 8 years, 11 months ago

Julie Crowley 9 years, 1 month ago

Error in variable testing condition

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Generated value: `integer`

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Rearrange equations

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Julie Crowley 8 years, 11 months ago

Julie Crowley 9 years, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`