Joe's copy of Expand product of brackets

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emma rand 6 years, 9 months ago

Created this as a copy of Expand product of brackets.

Name	Status	Author	Last Modified
Expand product of brackets	draft	Newcastle University Mathematics and Statistics	20/11/2019 14:50
Expand product of brackets	draft	Nasir Firoz Khan	29/07/2016 15:21
Algebra II: Expand product of brackets	Ready to use	Nasir Firoz Khan	12/08/2016 15:47
Algebra II: Expand product of brackets	Ready to use	Nasir Firoz Khan	12/08/2016 16:16
Joe's copy of Expand product of brackets	draft	emma rand	27/07/2018 12:59

There are 3 other versions that do you not have access to.

Question statement

Expand the following to give a quadratic in $x$ .

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	-3
c	integer	3
b	integer	9
d	integer	4
s	integer	6
u	integer	9
t	integer	20
v	integer	15

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(-5..5 except 0)

JME function reference

Description

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

Can an exam override the value of this variable?

Generated value: `integer`

-3

This variable doesn't seem to be used anywhere.

Parts

Part a) Gap-fill
1. Gap Mathematical expression
  Add
Part b) Gap-fill
1. Gap Mathematical expression
  Add

Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

$\simplify[std]{({a}x+{b})({c}x+{d})}=\;$ Unnamed gap.

Your answer should be a quadratic in $x$ and should not include any brackets.

Advice

For part a)

$\begin{eqnarray*}\simplify[std]{ ({a}x+{b})({c}x+{d})}&=&\simplify[std]{{a}x*({c}x+{d})+{b}({c}x+{d})}\\&=&\simplify[std]{{a*c}x^2+{a*d}x+{b*c}x+{b*d}}\\&=&\simplify[std]{{a*c}x^2+{(a*d+b*c)}x+{b*d}}\end{eqnarray*}$

For part b)

$\begin{eqnarray*}\simplify[std]{ ({s}x+{t})({u}x+{v})}&=&\simplify[std]{{s}x*({u}x+{v})+{t}({u}x+{d})}\\&=&\simplify[std]{{s*u}x^2+{s*v}x+{t*u}x+{t*v}}\\&=&\simplify[std]{{s*u}x^2+{(s*v+t*u)}x+{t*v}}\end{eqnarray*}$

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet

This question is used in the following exams:

SkillsHub Brackets by emma rand in emma's workspace.
Week 2: Algebra Skills by Amy Barker in Maths and Stats.
Week 1: Algebra Skills by Amy Barker in Maths and Stats.

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

emma rand 6 years, 9 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Joe's copy of Expand product of brackets

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

emma rand 6 years, 9 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`