Ann's copy of Solve an equation with reciprocals

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Ann Smith 6 years, 4 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	9
c	integer	4
b	integer	-7
d	integer	-8
s	integer	8
t	integer	4
an2	integer	-4
an1	integer	36

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.

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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.

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

$x=\;$ 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.

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Mathematical expression
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Ann's copy of Solve an equation with reciprocals

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

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Checkpoint description

Ann Smith 6 years, 4 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

Loading...

Error

Ann's copy of Solve an equation with reciprocals

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Ann Smith 6 years, 4 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`