AB7 Expand Double Brackets

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

Lauren Desoysa	said	Ready to use	1 year, 1 month ago
Andrew Neate	said	Needs to be tested	1 year, 1 month ago
Will Morgan	said	Has some problems	1 year, 1 month ago

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Will Morgan 1 year ago

Published this.

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Lauren Desoysa 1 year, 1 month ago

Gave some feedback: Ready to use

○

Andrew Neate 1 year, 1 month ago

Gave some feedback: Needs to be tested

○

Will Morgan 1 year, 1 month ago

Gave some feedback: Has some problems

○

Poppy Jeffries 1 year, 2 months ago

Created this as a copy of AB7 Expand Double Brackets.

Name	Status	Author	Last Modified
AB7 Expand Double Brackets	Ready to use	Poppy Jeffries	09/04/2024 15:07
AB8 Expand Double Brackets (Hard)	Ready to use	Poppy Jeffries	09/04/2024 15:08

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Question statement

Expand the brackets and simplify

Give any introductory information the student needs.

			Name	Type	Generated Value

list

[ -5, 4, -1, 7, 9 ]

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
repeat(random(-10..10 except [0] ),5)

JME function reference

Description

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

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Generated value: `list`

[ -5, 4, -1, 7, 9 ]

Parts

Gap-fill
1. Gap Mathematical expression
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Gap-fill

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$\simplify{({a[1]}x+{a[2]})({a[3]}x+{a[4]})}=$ Unnamed gap

Advice

To expand the brackets $\simplify{({a[1]}x+{a[2]})({a[3]}x+{a[4]})}$ We first multiply all the terms in the left bracket by all the terms in the right bracket. This gives us

$\var{a[1]}\times\var{a[3]}x^2+\var{a[1]}x\times\var{a[4]}+\var{a[2]}\times\var{a[3]}x+\var{a[2]}\times\var{a[4]}=\var{a[1]*a[3]}x^2+\var{a[1]*a[4]}x+\var{a[2]*a[3]}x+\var{a[2]*a[4]}.$

We can then collect the terms to give us the final answer of

$\var{a[1]*a[3]}x^2+\var{a[1]*a[4]+a[2]*a[3]}x+\var{a[2]*a[4]}.$

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Part	Test	Passed?
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Mathematical expression
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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Will Morgan 1 year ago

Lauren Desoysa 1 year, 1 month ago

Andrew Neate 1 year, 1 month ago

Will Morgan 1 year, 1 month ago

Poppy Jeffries 1 year, 2 months ago

Error in variable testing condition

Error

Warning

Generated value: `list`

Parts

Gap-fill

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AB7 Expand Double Brackets

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

Andrew Neate 1 year, 1 month ago

Will Morgan 1 year, 1 month ago

Poppy Jeffries 1 year, 2 months ago

Error in variable testing condition

Error

Warning

Generated value: list

Parts

Gap-fill

Generated value: `list`