AE1 - Algebraic fractions - addition - Numbas at mathcentre.ac.uk

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Will Morgan	said	Ready to use	1 year, 1 month ago
Andrew Neate	said	Needs to be tested	1 year, 1 month ago

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Will Morgan 1 year ago

Published this.

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Will Morgan 1 year, 1 month 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

Created this as a copy of 1.4.3.2 Adding two algebraic fractions version 2.

Name	Status	Author	Last Modified
1.4.3.2 Adding two algebraic fractions version 2	Ready to use	Merryn Horrocks	11/02/2024 07:28
1.4.3.3 Adding two algebraic fractions version 3	Ready to use	Merryn Horrocks	11/02/2024 07:29
AE1 - Algebraic fractions - addition	Ready to use	Andrew Neate	09/04/2024 15:15

There are 6 other versions that do you not have access to.

Question statement

Express $\displaystyle{\var{te[0]}\var{sgnl}\var{te[1]}}$ as a single fraction.

Give any introductory information the student needs.

			Name	Type	Generated Value

v	string	u
xc	list	[ 1, 1, 1, 1 ]
c	list	[ 2, -2, 5, 4 ]
ndnd	list	List of 4 items
te	list	[ 2/(u - 2), 5/(u + 4) ]
sgn	string	+
sgnl	string	+
ndnde	list	[ 2, u - 2, 5, u + 4 ]
cnd	list	List of 6 items
ansnum	expression	7u - 2
ansden	expression	(u - 2)(u + 4)
ans	expression	(7u - 2)/((u - 2)(u + 4))

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ndnd

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$\begin{align*} \var{te[0]}\var{sgnl}\var{te[1]} &= \frac{\var{ndnde[3]}}{\var{ndnde[3]}}\times\var{te[0]}\var{sgnl}\frac{\var{ndnde[1]}}{\var{ndnde[1]}}\times\var{te[1]}\\&=\frac{\var{cnd[0]}\var{sgnl}\var{cnd[1]}}{(\var{ndnde[1]})(\var{ndnde[3]})}\\&=\frac{(\var{cnd[2]})\var{sgnl}(\var{cnd[3]})}{(\var{ndnde[1]})(\var{ndnde[3]})}\\&=\frac{\var{cnd[4]}}{(\var{ndnde[1]})(\var{ndnde[3]})}\\&=\var{ans} \end{align*}$

There is no benefit in expanding the denominator. In fact, it is best to leave the denominator factorised, because then it is easier to see if the fraction can be simplified.

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AE1 - Algebraic fractions - addition

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Taxonomy: mathcentre

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Taxonomy: Context

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Will Morgan 1 year ago

Will Morgan 1 year, 1 month ago

Andrew Neate 1 year, 1 month ago

Andrew Neate 1 year, 1 month ago

Error in variable testing condition

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Generated value: `string`

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Mathematical expression

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AE1 - Algebraic fractions - addition

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Will Morgan 1 year ago

Will Morgan 1 year, 1 month ago

Andrew Neate 1 year, 1 month ago

Andrew Neate 1 year, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: string

Parts

Mathematical expression

Advanced settings

Checking accuracy

Variable value generators

Pattern restriction

Variables

String restrictions

Generated value: `string`