Transpose linear formula 3 variables

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Merryn Horrocks

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1 year, 2 months ago

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Merryn Horrocks 1 year, 2 months ago

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Merryn Horrocks 1 year, 2 months ago

Gave some feedback: Ready to use

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Don Shearman 3 years, 9 months ago

Created this as a copy of Transpose linear formula.

Name	Status	Author	Last Modified
Transpose linear formula	Ready to use	Don Shearman	13/02/2024 00:09
Transpose formula with square root	Ready to use	Don Shearman	13/02/2024 00:55
Transpose linear formula 3 variables	Ready to use	Don Shearman	13/02/2024 01:43

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Question statement

Transpose the formula $\simplify{{formula}}$ to make $\var{selected_variable}$ the subject.

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	-6
b	integer	1
c	integer	-8
formula	expression	-6u + 1v + -8w=6
variables	list	List of 3 items
sel_variable	integer	0
selected_variable	string	u
answer	expression	(1/(-6))(6 - 1v - -8w)
d	integer	6

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Value

xxxxxxxxxx
 
random(1..9)*random(1,-1)

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Description

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

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Generated value: `integer`

-6

→ Used by:

answer
formula

This variable doesn't seem to be used anywhere.

Parts

Gap-fill
1. Gap Mathematical expression
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$\var{selected_variable}=$ Unnamed gap

Advice

$\begin{align}\var{simplify(expression(a+"*u+"+b+"*v+"+c+"*w"),"basic")}=\var{d}\\ \var{a}u&=\var{simplify(expression(d+"-"+b+"*v-"+c+"*w"),"basic")}\\u&= \var[fractionNumbers]{simplify(expression("("+d+"-"+b+"*v-"+c+"*w)/"+a),"all")}\\ u &= \var{simplify(expression({d}+"/"+{a}+"-"+{b}+"/"+{a}+"*v-"+{c}+"/"+{a}+"*w"),"all")} \end{align}$

$\begin{align}\var{simplify(expression(a+"*u+"+b+"*v+"+c+"*w"),"basic")}=\var{d}\\ \var{b}v&=\var{simplify(expression(d+"-"+a+"*u-"+c+"*w"),"basic")}\\v&= \var[fractionNumbers]{simplify(expression("("+d+"-"+a+"*u-"+c+"*w)/"+b),"all")}\\ v &= \var{simplify(expression({d}+"/"+{b}+"-"+{a}+"/"+{b}+"*u-"+{c}+"/"+{b}+"*w"),"all")} \end{align}$

$\begin{align}\var{simplify(expression(a+"*u+"+b+"*v+"+c+"*w"),"basic")}=\var{d}\\ \var{c}w&=\var{simplify(expression(d+"-"+a+"*u-"+b+"*v"),"basic")}\\w&= \var[fractionNumbers]{simplify(expression("("+d+"-"+a+"*u-"+b+"*v)/"+c),"basic")}\\ w &= \var{simplify(expression({d}+"/"+{c}+"-"+{a}+"/"+{c}+"*u-"+{b}+"/"+{c}+"*v"),"all")} \end{align}$

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This question is used in the following exams:

Formulae and Transposition by Don Shearman in HELM books.
HELM Book 1.5 exercises by Merryn Horrocks in HELM books.

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Taxonomy: mathcentre

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Merryn Horrocks 1 year, 2 months ago

Merryn Horrocks 1 year, 2 months ago

Don Shearman 3 years, 9 months ago

Error in variable testing condition

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Generated value: `integer`

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Transpose linear formula 3 variables

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Merryn Horrocks 1 year, 2 months ago

Merryn Horrocks 1 year, 2 months ago

Don Shearman 3 years, 9 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`