Expansion of two brackets: Linear and Quadratic

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Bill Foster

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Bill Foster 55 years, 2 months ago

Created this.

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Question statement

Expand the following to give a cubic in $w$ .

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	2
c	integer	3
b	integer	4
d	integer	2
q	integer	-3
p	integer	1

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(1..5)

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`

→ Used by:

Advice
"Unnamed part" - prompt
"Unnamed part" → "Unnamed gap" - Correct answer

Parts

Gap-fill
1. Gap Mathematical expression
  Add
1. Step Information only

Gap-fill

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

$\simplify[std]{({p}w+{q})({a}w^2+{b}w+{c})}=\;$ Unnamed gap.

Your answer should be a cubic in $w$ 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:

$\begin{eqnarray*}\simplify[std]{ ({p}w+{q})({a}w^2+{b}w+{c})}&=&\simplify[std]{{p}w*({a}w^2+{b}w+{c})+{q}({a}w^2+{b}w+{c})}\\&=&\simplify[std]{{a*p}w^3+{b*p}w^2+{c*p}w+{a*q}w^2+{q*b}w+{c*q}}\\&=&\simplify[std]{{a*p}w^3+{(a*q+b*p)}w^2+{b*q+c*p}w+{c*q}}\end{eqnarray*}$

Give a worked solution to the whole question.

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

This question is used in the following exams:

Peter's test exam by Peter Samuels in Peter's workspace.
Algebraic Fractions 1 by Aneela Arshad in Aneela's workspace.
Kjell's copy of my first try by Kjell Hansen in Kjell's workspace.
my first try by Kjell Hansen in Kjell's workspace.
Basic Algebraic Manipulation: Expansion of Brackets by Bill Foster in Bill's workspace.
mathcentre: Expanding brackets by Bill Foster in Bill's workspace.
Maths Support: Expanding brackets by Christian Lawson-Perfect in Maths Support Wiki.
Expanding Brackets by Jessica Ryan in Jessica's workspace.
Algebra: 1 by Aneela Arshad in Aneela's workspace.
Algebraic manipulation: 1 by Aneela Arshad in Aneela's workspace.
Expanding Brackets by Gareth Woods in Gareth's workspace.
Johan's copy of Expanding Brackets by Johan Maertens in Johan's workspace.
Expanding Brackets by Owen Jepps in Maths Boot Camp.
Don's copy of Maths Support: Expanding brackets by Don Shearman in Don's workspace.

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Expansion of two brackets: Linear and Quadratic

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Bill Foster 55 years, 2 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Error

Expansion of two brackets: Linear and Quadratic

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Bill Foster 55 years, 2 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`