Solving equations

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Bill Foster

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Bill Foster 55 years, 2 months ago

Created this.

Name	Status	Author	Last Modified
Solving equations	draft	Bill Foster	06/08/2020 08:42
Jessica's copy of Solving equations	draft	Jessica Ryan	21/08/2020 14:50

There are 6 other versions that do you not have access to.

Question statement

Solve the following linear equation for $x$ .

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	9
c	integer	-12
b	integer	4
d	integer	14
s3	integer	-1
s2	integer	1
s1	integer	1
td	integer	14
tc	integer	-12

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
s1*random(2..12)

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
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Gap-fill

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

$\simplify[std]{{a} * x + {b} = {c} * x + {d}}$
Input your answer as a fraction or an integer. Do NOT input the answer as a decimal.

$x\;=$ Unnamed gap

Advice

Given the equation

$\simplify[std]{{a}x+{b}={c}x+{d}}$ we first collect together all the constant terms, and collect together all the terms in

$x$ .

The equation can then be written as:

$\simplify[std]{({a}-{c})x=({d}+{-b})}$ i.e.

$\simplify{{a-c}x={d-b}}$
which gives

$x =\simplify[std]{{(d-b)}/{(a-c)}}$ as the solution.

Give a worked solution to the whole question.

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Mathematical expression
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This question is used in the following exams:

Equations by Elena Stylianou in Elena's workspace.
Peter's copy of Equations by Peter Chleboun in Peter's workspace.
Bradford: Solving simple linear equations by Bill Foster in Bill's workspace.
Solving Linear Equations by Hayley Bishop in Hayley's workspace.
Maths Support: Solving linear equations by Christian Lawson-Perfect in Maths Support Wiki.
Solving Linear Equations by Gareth Woods in Gareth's workspace.
Jinhua's copy of Maths Support: Solving linear equations by Jinhua Mathias in Jinhua's workspace.
mathcentre: Solving simple linear equations by Bill Foster in Bill's workspace.
ACC1012 CBAs 1-3 by Man Isha Kaur in Man Isha's workspace.
mathcentre: Diagnostic test - Basic maths by Bill Foster in Bill's workspace.
Bradford: Diagnostic test - Basic maths by Bill Foster in Bill's workspace.
Basic Maths Revision by Gareth Woods in Gareth's workspace.
Solving equations: 1 by Aneela Arshad in Aneela's workspace.

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Bill Foster 55 years, 2 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Error

Solving equations

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Bill Foster 55 years, 2 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`