Auflösen einer Gleichung

Error

There was an error loading the page.

Contributors

Feedback

From users who are members of Lineare Algebra 1 :

Ulrich Görtz

said

Ready to use

4 years, 5 months ago

History

○

Ulrich Görtz 4 years, 5 months ago

Published this.

○

Ulrich Görtz 4 years, 5 months ago

Gave some feedback: Ready to use

○

Ulrich Görtz 4 years, 6 months ago

Created this as a copy of Solve an equation in algebraic fractions.

Name	Status	Author	Last Modified
Solve an equation in algebraic fractions	Ready to use	Newcastle University Mathematics and Statistics	20/11/2019 14:50
Luis's copy of Solve an equation in algebraic fractions	draft	Luis Hernandez	30/11/2018 00:45
Auflösen einer Gleichung	Ready to use	Ulrich Görtz	26/11/2020 10:28

There are 7 other versions that do you not have access to.

Question statement

Lösen Sie die folgende Gleichung nach $x$ auf.

Geben Sie Ihre Antwort als Bruchzahl oder als ganze Zahl ein (nicht als Dezimalzahl).

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	5
c	number	5
b	integer	-3
d	integer	1
g	number	1
m	integer	1
q	number	4
p	integer	4
s	integer	1
r	number	4.2
t	integer	-3
an2	number	36
an1	integer	8

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(1..5 except [p,abs(b)])

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`

← Depends on:

→ Used by:

This variable doesn't seem to be used anywhere.

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.

$\simplify{({p}*x+{s}) / ({a} * x + {b}) = ({q}*x+{t}) / ({c} * x + {d})}$

$x=\;$ Unnamed gap

Für einen Hinweis klicken Sie auf Zeige Tipps. (Dafür wird 1 Punkt abgezogen.)

Advice

Wir multiplizieren mit den beiden Nennern und erhalten:

$\simplify{({p}*x+{s})*({c} * x + {d})=({q}*x+{t})*({a} * x + {b})}$
Durch Ausmultiplizieren bekommen wir

$\simplify{{p*c}x^2 +{p*d+c*s}x+{s*d}={q*a}x^2 +{q*b+t*a}x+{t*b}}$ Wir ziehen

${\var{a*q}}x^2$ von beiden Seiten ab und erhalten

$\simplify{{p*d+c*s}x+{s*d}={q*b+t*a}x+{t*b}}$ Diese lineare Gleichung lösen wir auf zu

$\simplify{{p*d+c*s-q*b-t*a}x={t*b-s*d}},$ das bedeutet

$\simplify{x={an1}/{an2}}.$

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
Information only

This question is used in the following exam:

Einfache Gleichungen by Ulrich Görtz in Lineare Algebra 1.

Loading...

Error

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Ulrich Görtz 4 years, 5 months ago

Ulrich Görtz 4 years, 5 months ago

Ulrich Görtz 4 years, 6 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

Loading...

Error

Auflösen einer Gleichung

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Ulrich Görtz 4 years, 5 months ago

Ulrich Görtz 4 years, 5 months ago

Ulrich Görtz 4 years, 6 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`