WordProblem01_NL

Error

There was an error loading the page.

Contributors

Feedback

From users who are members of Paul's workspace :

Paul Verheyen

said

Ready to use

5 years, 6 months ago

History

○

Paul Verheyen 5 years, 6 months ago

Gave some feedback: Ready to use

○

Paul Verheyen 5 years, 6 months ago

Published this.

○

Paul Verheyen 5 years, 6 months ago

Created this as a copy of WordProblem01.

Name	Status	Author	Last Modified
Expand brackets and collect like terms	Ready to use	Bradley Bush	20/11/2019 14:38
Create an algebraic expression from a word problem, simplify, and evaluate	Ready to use	Bradley Bush	19/12/2022 12:26
Hollie's copy of Expand brackets and collect like terms	draft	Hollie Tarr	17/09/2017 15:18
Raphael's copy of Expand brackets and collect like terms	draft	Raphael Stuhlmeier	23/11/2017 13:28
Expand brackets and collect like terms	draft	Owen Jepps	11/01/2018 06:08
samla lika termer	draft	Ida Landgärds	10/04/2018 14:19
Ida's copy of samla lika termer	draft	Ida Landgärds	10/04/2018 14:21
Ida's copy of samla lika termer	draft	Ida Landgärds	10/04/2018 14:24
Marte's copy of Expand brackets and collect like terms	draft	Marte Bråtalien	12/04/2018 11:01
Marte's copy of Expand brackets and collect like terms	draft	Marte Bråtalien	12/04/2018 11:01
Samantha's copy of Create an algebraic expression from a word problem, simplify, and evaluate	draft	Samantha Konig	28/06/2018 05:55
Samantha's copy of Create an algebraic expression from a word problem, simplify, and evaluate	draft	Samantha Konig	28/06/2018 05:56
Expand brackets and collect like terms	draft	Paul Hancock	24/07/2018 02:40
Expand brackets and collect like terms[L4 Randomised]	Needs to be tested	Matthew James Sykes	25/07/2018 13:56
Heather's copy of Expand brackets and collect like terms[L4 Randomised]	draft	Heather Driscoll	01/10/2018 15:40
Francis's copy of Expand brackets and collect like terms - two questions	draft	Francis Duah	11/11/2018 15:28
Create an algebraic expression from a word problem, simplify, and evaluate in dollars version	Ready to use	Maria Aneiros	18/05/2019 02:13
Maria's copy of Expand brackets and collect like terms	draft	Maria Aneiros	29/05/2019 05:57
Maria's copy of Create an algebraic expression from a word problem, simplify, and evaluate	draft	Maria Aneiros	29/05/2019 05:09
WordProblem01_NL	Ready to use	Paul Verheyen	28/09/2019 18:14
Musa's copy of Expand brackets	draft	Musa Mammadov	01/08/2022 08:17
Musa's copy of Expand brackets and collect like terms 3	draft	Musa Mammadov	27/06/2023 01:45
Musa's copy of 3 Expand brackets	draft	Musa Mammadov	27/06/2023 01:47

There are 86 other versions that do you not have access to.

Question statement

{name} is een grote snoeper. Je bepaalt in wat volgt de kost van alle snoep dat {name} gedurende de laatste week verorberde.

{name} at $\var{a1}$ pakjes koekjes, $\var{b1}$ doosjes pralines en $\var{c1}$ doosjes lolly's.

Je weet dat een doosje pralines € $\var{d1}$ meer kost dan een pakje koekjes,

en dat een dergelijk doosje pralines $\var{f1}$ maal zoveel kost als een doosje lolly's .

Give any introductory information the student needs.

			Name	Type	Generated Value

a1	integer	6
b1	integer	5
c1	integer	4
d1	integer	6
e1	integer	3
f1	integer	2

			Name	Type	Generated Value

			name	string	Jessica
			total	rational	81

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(5..10)

JME function reference

Description

Aantal pakjes koekjes

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:

b1
total

Statement
Variable testing condition
"Part b)" → "Unnamed gap" - Correct answer
"Part c)" → "Unnamed gap" - Correct answer

Parts

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

Veronderstel dat een pakje koekjes €$x$ kost.

Schrijf een uitdrukking neer in termen van $x$ voor de kost van elke snoepsoort (per pakje of doosje):

Koekjes: €Gap 0.

Pralines: €Gap 1.

Lolly's: €Gap 2.

Advice

a)

Volgens de gegevens wordt het aantal pakjes koekjes voorgesteld door de letter $x$.

Een doosje pralines kost $€ \var{d1}$ meer dan een pakje koekjes, i.e. $x+\var{d1}$.

Een doosje pralines kost $\var{f1}$ maal zoveel als een doosje lolly's,

wat impliceert dat een een doosje lolly's als kostprijs ${\frac{1}{\var{f1}}}(x+\var{d1})$ heeft.

b)

Om de totale kost te vinden, vermenigvuldig je de supra gevonden uitdrukkingen voor de kostprijs van elk snoepgoed met het aantal verbruikte pakjes of doosjes, en telt deze vervolgens op.

Zonder vereenvoudiging betekent dit:

\begin{align}
\text{Totale kost} &= \simplify[]{{a1}x+{b1}(x+{d1}) + {c1} (1/{f1})*(x+{d1})} \\
&= \simplify[]{{a1}x+{b1}(x+{d1}) + {c1/f1}*(x+{d1})}
\text{.}
\end{align}

Werk de haakjes uit:

\begin{align}
\simplify[]{ {a1}x + {b1}(x+{d1}) + {c1/f1}*(x+{d1})} &= \simplify[]{ {a1}x + {b1}x + {b1}{d1} + {c1/f1}x + {c1/f1}{d1}} \\
&= \simplify[] { {a1}x + {b1}x + {b1*d1} + {c1/f1}x + {c1/f1*d1} } \text{.}
\end{align}

en groepeer gelijksoortige termen voor de optelling:

\begin{align}
\simplify[] { {a1}x + {b1}x + {b1*d1} + {c1/f1}x + {c1/f1*d1} } &= \simplify[]{ {a1+b1+c1/f1}x + {b1*d1+c1/f1*d1} } \text{.}
\end{align}

c)

Wanneer je weet dat de prijs van een pakje koekjes $€\var{e1}$ bedraagt, kan je dit voor $x$ substitueren in bovenstaande uitdrukking uit b).

\begin{align}
\text{Totale kost}&=\var{a1+b1+c1/f1} \cdot \var{e1}+\var{b1*d1+c1/f1*d1} \\
&=\var{(a1+b1+c1/f1)*{e1}+b1*d1+c1/f1*d1} \text{.}
\end{align}

Dus spendeerde {name} voor $€\var{total}$ aan snoep gedurende de voorbije week.

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
Mathematical expression
Mathematical expression		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
Gap-fill
Gap-fill		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet

This question is used in the following exams:

Exam_Kostprijs by Paul Verheyen in Paul's workspace.
KostenExam by Paul Verheyen in Paul's workspace.

Loading...

Error

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Paul Verheyen 5 years, 6 months ago

Paul Verheyen 5 years, 6 months ago

Paul Verheyen 5 years, 6 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

a)

b)

c)

Loading...

Error

WordProblem01_NL

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Paul Verheyen 5 years, 6 months ago

Paul Verheyen 5 years, 6 months ago

Paul Verheyen 5 years, 6 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

a)

b)

c)

Generated value: `integer`