W2a: Solve an equation with reciprocals-2

Error

There was an error loading the page.

Contributors

Feedback

From users who are members of XE420 :

Timur Zaripov

said

Ready to use

5 years, 5 months ago

From users who are not members of XE420 :

Wallen Arguelles

said

Ready to use

5 years, 5 months ago

History

○

Wallen Arguelles 5 years, 5 months ago

Gave some feedback: Ready to use

○

Timur Zaripov 5 years, 5 months ago

Gave some feedback: Ready to use

○

Timur Zaripov 5 years, 6 months ago

Created this as a copy of Solve an equation with reciprocals.

Name	Status	Author	Last Modified
Solve an equation with reciprocals	Ready to use	Newcastle University Mathematics and Statistics	20/11/2019 14:50
Ann's copy of Solve an equation with reciprocals	draft	Ann Smith	23/11/2018 12:36
Adrian's copy of Ann's copy of Solve an equation with reciprocals	draft	Adrian Martin	27/11/2018 20:12
Luis's copy of Solve an equation with reciprocals	draft	Luis Hernandez	30/11/2018 00:37
Luis's copy of Solve an equation with reciprocals	draft	Luis Hernandez	30/11/2018 00:38
W2a: Solve an equation with reciprocals-2	Ready to use	Timur Zaripov	17/06/2022 09:37
Solve an equation with reciprocals	draft	Thomas Waters	11/09/2019 21:48

There are 3 other versions that do you not have access to.

Question statement

Solve the following equation for $x$ .

Input your answer as a fraction or an integer as appropriate and not as a decimal.

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	8
c	integer	2
b	integer	-2
d	integer	-7
s	integer	6
t	integer	7
an2	integer	-44
an1	integer	28

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(2..9 except [s,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:

Advice
"Unnamed part" - prompt
"Unnamed part" → "Unnamed step" - prompt

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.

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

$x=\;$ Unnamed gap

If you want help in solving the equation, click on Show steps. If you do so then you will lose 1 mark.

Advice

Rearrange the equation by cross-multiplying to get:

$\simplify{{s}*({c} * x + {d}) = {t} *({a} * x + {b})}$
Multiply out to get

$\simplify{{s*c}*x+{s*d}={t*a}*x+{t*b}}.$ Now this is a linear equation which is solved in the following steps:

$\simplify{{s*c-t*a}*x={t*b-s*d}}$ and then

$\simplify{x={t*b-s*d}/{s*c-t*a}}.$

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 exams:

W2a Units and rearranging by Timur Zaripov in XE420.
XE420-20-W1a-School-Algebra by Timur Zaripov in XE420.
XE420-21 - W1 - Algebra by Timur Zaripov in XE420.
Quiz1 by Matt Falk in Matt's workspace.
XE420-22 - W01 - Algebra by Timur Zaripov in XE420.
XE420-24 - W01 - Algebra by Timur Zaripov in XE420.

Loading...

Error

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Wallen Arguelles 5 years, 5 months ago

Timur Zaripov 5 years, 5 months ago

Timur Zaripov 5 years, 6 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

Loading...

Error

W2a: Solve an equation with reciprocals-2

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Wallen Arguelles 5 years, 5 months ago

Timur Zaripov 5 years, 5 months ago

Timur Zaripov 5 years, 6 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`