AE2 Algebraic Fractions - addition (harder) - Numbas at mathcentre.ac.uk

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Lauren Desoysa	said	Ready to use	1 year, 1 month ago
Will Morgan	said	Needs to be tested	1 year, 1 month ago

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Will Morgan 1 year ago

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Lauren Desoysa 1 year, 1 month ago

Gave some feedback: Ready to use

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Will Morgan 1 year, 1 month ago

Gave some feedback: Needs to be tested

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Will Morgan 1 year, 1 month ago

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Question statement

Write the following as a single fraction $\frac{\var{num1}}{\var{den1}}+\frac{\var{num2}}{\var{den2}}$ simplifying as much as possible. Your answer should be in the form $\frac{\alpha\var{v}+\beta}{\delta\var{v}^2-\gamma}.$

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			Name	Type	Generated Value

a	integer	2
b	integer	2
v	string	h
cf1	list	[ 4, 2 ]
f1	expression	4h + 2
f1c	expression	4h - 2
cf2	list	[ 3, 2 ]
f2	expression	3h + 2

			Name	Type	Generated Value

num1	integer	4
den1	expression	32*h^2 - 8
num2	expression	3h + 2
den2	expression	12*h^2 + 2h - 4
ansn	expression	4h + 4
ansd	expression	16*h^2 - 4
ans	expression	(4h + 4)/(16*h^2 - 4)

			Name	Type	Generated Value

den1fact	expression	2(4h + 2)(4h - 2)
den2fact	expression	(4h - 2)(3h + 2)
den1simp	expression	(4h + 2)(4h - 2)

			Name	Type	Generated Value

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Value

A random number between and (inclusive) with step size

Description

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Generated value: `integer`

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Advice

To write the following as a single fraction $\frac{\var{num1}}{\var{den1}}+\frac{\var{num2}}{\var{den2}}$ first factorise as much as possible and look for any cancellations:

$\begin{split} &\frac{\var{a}\times\var{b}}{\var{den1fact}} + \frac{\var{num2}}{\var{den2fact}}\\ & = \frac{\var{b}}{\var{den1simp}} + \frac{1}{\var{f1c}}. \end{split}$

Then get a common denominator for the two fractions and combine into a single fraction:

$\begin{split} &\frac{\var{b}}{\var{den1simp}} + \frac{\var{f1}}{\var{den1simp}}\\ & = \frac{\var{b}+\var{f1}}{\var{den1simp}}\\ & = \var{ans}. \end{split}$

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AE2 Algebraic Fractions - addition (harder)

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Will Morgan 1 year ago

Lauren Desoysa 1 year, 1 month ago

Will Morgan 1 year, 1 month ago

Will Morgan 1 year, 1 month ago

Error in variable testing condition

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Generated value: `integer`

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Mathematical expression

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Error

AE2 Algebraic Fractions - addition (harder)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Will Morgan 1 year ago

Lauren Desoysa 1 year, 1 month ago

Will Morgan 1 year, 1 month ago

Will Morgan 1 year, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Mathematical expression

Advanced settings

Checking accuracy

Variable value generators

Pattern restriction

Variables

String restrictions

Generated value: `integer`