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

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

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

History

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Will Morgan 11 months, 3 weeks ago

Published this.

○

Andrew Neate 1 year 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

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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	r
xc	list	[ 1, 1, 1, 3 ]
c	list	[ 5, -3, 1, -1 ]
ndnd	list	List of 4 items
te	list	[ 5/(r - 3), 1/(3r - 1) ]
sgn	string	-
sgnl	string	-
ndnde	list	[ 5, r - 3, 1, 3r - 1 ]
cnd	list	List of 6 items
ansnum	expression	14r - 2
ansden	expression	(r - 3)(3r - 1)
ans	expression	(14r - 2)/((r - 3)(3r - 1))

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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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Will Morgan 11 months, 3 weeks ago

Will Morgan 1 year ago

Andrew Neate 1 year ago

Andrew Neate 1 year ago

Error in variable testing condition

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Generated value: `string`

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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 11 months, 3 weeks ago

Will Morgan 1 year ago

Andrew Neate 1 year ago

Andrew Neate 1 year 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`