Expand product of brackets

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Nasir Firoz Khan

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Nasir Firoz Khan 8 years, 8 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

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Question statement

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

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	2
c	integer	4
b	integer	5
d	integer	9
s	integer	-7
u	integer	-4
t	integer	14
v	integer	18

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`

This variable doesn't seem to be used anywhere.

Parts

Part a) Gap-fill
1. Gap Mathematical expression
  Add
1. Step Information only
2. Step Information only
Part b) Gap-fill
1. Gap Mathematical expression
  Add
1. Step Information only
2. Step Information only

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.

You can click on "Show steps" for more information, but you will lose one mark if you do so.

Advice

Using the method given by Show steps

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.

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Mathematical expression
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Gap-fill
Gap-fill		Hasn't run yet
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This question is used in the following exam:

Block 1, Unit 2: Quadratic Equations by Paul Abel in Paul's workspace.

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Taxonomy: mathcentre

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Taxonomy: Context

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Checkpoint description

Nasir Firoz Khan 8 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Expand product of brackets

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Nasir Firoz Khan 8 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`