Simon's copy of Julie's copy of Algebra: Expansion of two brackets (one linear)

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Simon Thomas 6 years ago

Created this as a copy of Julie's copy of Algebra: Expansion of two brackets (one linear).

Name	Status	Author	Last Modified
Julie's copy of Algebra: Expansion of two brackets (one linear)	draft	Julie Crowley	09/10/2016 19:48
Simon's copy of Julie's copy of Algebra: Expansion of two brackets (one linear)	draft	Simon Thomas	04/03/2019 09:29

Question statement

Expand the following to give quadratics in $x$ .

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	4
c	integer	-5
b	integer	0
d	integer	8
a1	integer	3
b1	integer	9
c1	integer	3

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`

→ Used by:

This variable doesn't seem to be used anywhere.

Parts

Gap-fill
1. Gap Gap 0. Mathematical expression
  Add
2. Gap Gap 1. Mathematical expression
  Add

Gap-fill

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

(a) $\simplify[std]{({a}x)({c}x+{d})}=\;$ Gap 0..

(b) $\var{c1}x(\simplify[std]{({a1}x+{b1})})=\;$ Gap 1..

Your answers should be quadratics in $x$ and should not include any brackets.

Advice

You need to multiply every term inside the brackets by the term outside the brackets:

(a)

$\simplify[std]{ {a}x*({c}x+{d})}=(\var{a}x \times \var{c}x)+(\var{a}x \times\var{d})=\simplify[std]{{a*c}x^2+{a*d}x}$

(b)

$\var{c1}x(\simplify[std]{({a1}x+{b1})})=(\var{c1}x\times \var{a1}x)+(\var{c1}x \times\var{b1})=\simplify[std]{{a1*c1}x^2+{b1*c1}x}$

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
Mathematical expression
Mathematical expression		Hasn't run yet

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Simon's copy of Julie's copy of Algebra: Expansion of two brackets (one linear)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

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Checkpoint description

Simon Thomas 6 years ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Error

Simon's copy of Julie's copy of Algebra: Expansion of two brackets (one linear)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Simon Thomas 6 years ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`