AC1 Solve linear equations

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From users who are members of Skills Audits for Maths and Stats :

Lauren Desoysa	said	Ready to use	1 year ago
Andrew Neate	said	Needs to be tested	1 year, 1 month ago
Megan Oliver	said	Needs to be tested	1 year, 1 month ago

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Will Morgan 11 months, 2 weeks ago

Published this.

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Lauren Desoysa 1 year ago

Gave some feedback: Ready to use

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Andrew Neate 1 year, 1 month ago

Gave some feedback: Needs to be tested

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Andrew Neate 1 year, 1 month ago

Gave some feedback: Has some problems

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Megan Oliver 1 year, 1 month ago

Gave some feedback: Needs to be tested

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Megan Oliver 1 year, 1 month ago

Gave some feedback: Needs to be tested

○

Megan Oliver 1 year, 1 month ago

Created this as a copy of Equations: Linear equations 2 - unknowns on both sides.

Name	Status	Author	Last Modified
Solving linear equations: collecting like terms and solving	Ready to use	sean hunte	10/05/2019 02:18
Equations: Linear equations 2 - unknowns on both sides	Ready to use	Ruth Hand	27/10/2024 10:31
AC1 Solve linear equations	Ready to use	Megan Oliver	09/04/2024 15:10
AC2 Solve Linear equations with fractions 1	Ready to use	Andrew Neate	08/05/2024 13:14
AC7 Solve Linear equations with fractions 2	Ready to use	Will Morgan	08/05/2024 12:36

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Question statement

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			Name	Type	Generated Value

l	integer	7
m	integer	2
n	integer	10
p	integer	2
q	integer	7
ansA	rational	infinity

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random(2..12)

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Generated value: `integer`

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Solve $\simplify{({m}w-{n}) = {p}w+{q}}$

$w=$ Unnamed gap

Advice

Given $\simplify{{m}w-{n} = {p}w+{q}}$ , we can get all the $w$ 's on the left hand side and all the numbers on the right hand side, and then divide both sides by the coefficient of $w$ to get $w$ by itself.



$\simplify{{m}w+{n}}$	$=$	$\simplify{{p}w+{q}}$

$\simplify[!cancelTerms,unitFactor]{{m}w-{n}-{p}w}$	$=$	$\simplify[!cancelTerms,unitFactor]{{p}w+{q}-{p}w}$

$\simplify{{m-p}w-{n}}$	$=$	$\var{q}$

$\var{m-p}w-\var{n}+\var{n}$	$=$	$\var{q}+\var{n}$

$\var{m-p}w$	$=$	$\var{q+n}$

$\displaystyle{\frac{\var{m-p}w}{\var{m-p}}}$	$=$	$\displaystyle{\frac{\var{q+n}}{\var{m-p}}}$

$w$	$=$	$\displaystyle{\simplify{{q+n}/{m-p}}} = \var{precround(ansA,1)} \text{ to 1 dp}$

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Will Morgan 11 months, 2 weeks ago

Lauren Desoysa 1 year ago

Andrew Neate 1 year, 1 month ago

Andrew Neate 1 year, 1 month ago

Megan Oliver 1 year, 1 month ago

Megan Oliver 1 year, 1 month ago

Megan Oliver 1 year, 1 month ago

Error in variable testing condition

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Generated value: `integer`

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AC1 Solve linear equations

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Will Morgan 11 months, 2 weeks ago

Lauren Desoysa 1 year ago

Andrew Neate 1 year, 1 month ago

Andrew Neate 1 year, 1 month ago

Megan Oliver 1 year, 1 month ago

Megan Oliver 1 year, 1 month ago

Megan Oliver 1 year, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`